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!YeI$0qU)Mo9WOIvu?cuOoI~#(p43ULJW8TxLtNYJSclRF{;w`G+W^WJ z7{qfs(G1{Hd7&e;71ffbL_Fz9kAP`~=N6brv2n9pKc_@@Jm}%Q~Ii=N+GmOq-7e%Ic_2>)lrK_sTzfb zq7X#l(Fci>627a%ku2uAL|9x3SoL_KnbyP)-bV%cPKAG6*|A4;XeWAsvqTX8f1?<9 zThV+!WmWchyt$HN$Pjr)1xPl<)~$}qtjH1>@$SU&^bv^)ytd`0zIY*pikd^-+5PFt zic4EZ$5^+9nwkevHQfkxRxhCa--HabOK$B%6+g7?B%TQ;ni-S_1gS{M+S>K4Nvf%o zgOVq;on6Vh6*%7a?o7<1+=E;j3yB_3l**=sUBaO3UA$^yoxm=u#RfIDzSdd!~<*i|{Q&Ejjt!hq1SCC{7Z$MkJ~tGxa<~<&JwGpw96N z?Q~WpARdrIFZm4nBZKZDdm8kAy7H}d5JWLHW)vBiu?Dho81M;k3T)a`d0#GxhWi>h zycJb+bb^5Y^`V^v*i!~|ub>W~6B;oWL4>oN^z=dWr*4wtskrO8&g}sY6h!A8@^K=x zxMtALc9-_hpjNvb8X7vB%jhym_Ne?fhKBUt8Zexcv@{cNF`VPAClUb|L~2_a8XDfs zYj#sG_9Xy>^!%Q?SPFnflrLXS&Hr2o3}G{)%WZ_4CrIlM@-Jl@1vM{ic=9HXPg>)= zDI!H+UhQEX1NcZg$A~)b1@}P~=rodK$Uu8-*?kQD4S#~ARRwNQfrb##WCV=)ZD?pS z5Le5+1E}=DBb0%L3>u%oh*KWE1v>Zlv1xh|Ar34mSZxn96ab|miVQp&A9QMwJ6+9k zOI7zr-p~tt6=;|g;xLhx+k5WU!LeJFARWMIR8NELC(p}x^*gl7-+67_M_{QC3VGAe z(C}@pQqcL=Nia4zoB*-;7b|Ap2uGm+>K-TtTS#{euPGM#byljQbiQI?u?^@nB`xf&L-K*idcRT9ACo!Lk66Xm$w%P0Dkt?;=m&^63V>SfRJ}mQIXKCq}qx4k?YE9 z(luk_K1}S!Ft%cuOrgpl`#+6cYc!N;93NZk)`~Vt=w>X2)xp77RyacnEfXcOV=&gH zjCC0rHkoo8vf7SJ7njqTFsrlZoF?sLi*jv*QD`Nj zdEfVW{?G6B{GUba8-hfxL5|?XND}%imH3(w^@a>*V9YF3NAi48+R$O$Bj5ta6S6cq za4=d_bc`en(Vf#*y-}l(BA%@>x=x-1SULJWgXj^_7l3>LTywCJqTFJ*}59qabVVi0LU?1EP$W zLZ4)p_KcPQ_}&zIL=3Pp;243{jL#%9O~>bkH9h8Ntl;2WEGIjtR7OK#x22QG(<8Rk z?_ic-a!(aOyeA~HLhmkGTiHB=0Xv3F(CUa=cR&g0?{D9q%Sh*Ky=|ziCEmHPw|n#C z^z=BUB1HgB2qy9o5RnPU+n7qFgF1>G015v6dKUhz#EZZIe>j2}>Q&@uQ`-B(=lFbn zbAMoY3bvupN_-LXiola01r=%$!M$(PkjR z$_|%kL~x(!%8*GzQ5?WJ=7BOeaP_~Lb^!}=eKV3wp+JZNqDf$ngocDPKYFBx2zFbc zp*<5+_K^3~`O=@b4ni`W7AJ}W8d7G1aVzsNrBglSa$^Cy{h83|n_wD$newOpD1Uri z{Q5Y_9c*^E#0^X4Io8m*!cV|jL!di?4Vr}L!oL$g^q@jaDlXdMOih)Al2%TD9tjR&AK1%B9ijHRhDGy-LZVO^EJ=W%&HmE*eJ-d&aA?1|^Jnh66*W&a;;gzQk?d`-##bLt9D}%B z4GMOVH)m?cxf(j%E|>ewH?;@sF_?4AazJ0%`Lb{gV48}zZ0b3j$8qq(_XBR!bi7!A zqBreSd4}o6yT8-g`d0awwoO;`3vm1w`jRl}!+-bcogMaU+?V~J^Kp`WbZPrAE6a-- z%gj*pZGL()o6g!+!i^=5@V8j0n>Wz@*Mrwxwd>e-b=YjBNEAswTN}Ub*U-#k1LnnD z+w!?b$lsa~5e%&{NC^UCI~r?gj`r5Ef6d+)>=f6Ac^(^79+s-nACYEltzTyNEm=?f zubn8F!WIKv-LoQ5ON6UvU%894$_${~`&t!Xs~s*(5ZLOt2!ag%HD&+nV`a~fSN76U zI!(VI@0UCP9`coZ@RrQkUzkugxRCCf%Sv>RZA>%674hqK@m>~dD^%|_Sf9m11v-Tv r{+aEtQFjOU0=dGt&6DQ;|8Zse_rt2hv}E@s3VwWc`+LTuring:1950 .In the paper, he discusses several objections to his proposed enterprise and his test for intelligence. Which objections still carry weight? Are his refutations valid? Can you think of new objections arising from developments since he wrote the paper? In the paper, he predicts that, by the year 2000, a diff --git a/markdown/1-Introduction/exercises/ex_3/question.md b/markdown/1-Introduction/exercises/ex_3/question.md index 356d91ded1..5b7e2f68db 100644 --- a/markdown/1-Introduction/exercises/ex_3/question.md +++ b/markdown/1-Introduction/exercises/ex_3/question.md @@ -1,4 +1,4 @@ Every year the Loebner Prize is awarded to the program that comes -closest to passing a version of the Turing Test. Research and report on +closest to passing a version of the Turing Test. Research and report on the latest winner of the Loebner prize. What techniques does it use? How does it advance the state of the art in AI? diff --git a/markdown/1-Introduction/exercises/ex_7/question.md b/markdown/1-Introduction/exercises/ex_7/question.md index 6666c28796..64c6ac87c8 100644 --- a/markdown/1-Introduction/exercises/ex_7/question.md +++ b/markdown/1-Introduction/exercises/ex_7/question.md @@ -1,9 +1,7 @@ - - The neural structure of the sea slug Aplysis has been widely studied (first by Nobel Laureate Eric Kandel) because it has only about 20,000 neurons, most of them large and easily manipulated. Assuming that the cycle time for an Aplysis neuron is roughly the same as for a human neuron, how does the computational power, in terms of memory updates per second, compare with the high-end -computer described in (Figure computer-brain-table)? +computer described in (Figure computer-brain-table)? diff --git a/markdown/10-Classical-Planning/exercises/ex_10/question.md b/markdown/10-Classical-Planning/exercises/ex_10/question.md index bbd5f0d64b..6eeeef61b0 100644 --- a/markdown/10-Classical-Planning/exercises/ex_10/question.md +++ b/markdown/10-Classical-Planning/exercises/ex_10/question.md @@ -1,4 +1,4 @@ Construct levels 0, 1, and 2 of the planning graph for the problem in -Figure airport-pddl-algorithm +Figure airport-pddl-algorithm diff --git a/markdown/10-Classical-Planning/exercises/ex_13/question.md b/markdown/10-Classical-Planning/exercises/ex_13/question.md index d9087074b4..68a888ca7a 100644 --- a/markdown/10-Classical-Planning/exercises/ex_13/question.md +++ b/markdown/10-Classical-Planning/exercises/ex_13/question.md @@ -1,5 +1,5 @@ -The set-level heuristic (see page set-level-page uses a planning graph +The set-level heuristic (see page set-level-page uses a planning graph to estimate the cost of achieving a conjunctive goal from the current state. What relaxed problem is the set-level heuristic the solution to? diff --git a/markdown/10-Classical-Planning/exercises/ex_14/question.md b/markdown/10-Classical-Planning/exercises/ex_14/question.md index 138be97a13..7c1cad8e4f 100644 --- a/markdown/10-Classical-Planning/exercises/ex_14/question.md +++ b/markdown/10-Classical-Planning/exercises/ex_14/question.md @@ -1,7 +1,7 @@ Examine the definition of **bidirectional -search** in Chapter search-chapter.
+search** in Chapter search-chapter.
1. Would bidirectional state-space search be a good idea for planning?
diff --git a/markdown/10-Classical-Planning/exercises/ex_18/question.md b/markdown/10-Classical-Planning/exercises/ex_18/question.md index a4f0fcb8ab..27a84205c6 100644 --- a/markdown/10-Classical-Planning/exercises/ex_18/question.md +++ b/markdown/10-Classical-Planning/exercises/ex_18/question.md @@ -1,7 +1,7 @@ In the $SATPlan$ algorithm in -Figure satplan-agent-algorithm (page satplan-agent-algorithm, +Figure satplan-agent-algorithm (page satplan-agent-algorithm, each call to the satisfiability algorithm asserts a goal $g^T$, where $T$ ranges from 0 to $T_{max}$. Suppose instead that the satisfiability algorithm is called only once, with the goal diff --git a/markdown/10-Classical-Planning/exercises/ex_3/question.md b/markdown/10-Classical-Planning/exercises/ex_3/question.md index d1cc9e4c54..3eda8598e0 100644 --- a/markdown/10-Classical-Planning/exercises/ex_3/question.md +++ b/markdown/10-Classical-Planning/exercises/ex_3/question.md @@ -1,7 +1,5 @@ - - -strips-airport-exerciseGiven the action schemas and initial state -from Figure airport-pddl-algorithm, what are all the +Given the action schemas and initial state +from Figure airport-pddl-algorithm, what are all the applicable concrete instances of ${Fly}(p,{from},{to})$ in the state described by
diff --git a/markdown/10-Classical-Planning/exercises/ex_5/question.md b/markdown/10-Classical-Planning/exercises/ex_5/question.md index 136464bc7c..90dae31373 100644 --- a/markdown/10-Classical-Planning/exercises/ex_5/question.md +++ b/markdown/10-Classical-Planning/exercises/ex_5/question.md @@ -1,7 +1,7 @@ The original {Strips} planner was designed to control Shakey the robot. -Figure shakey-figure shows a version of Shakey’s world +Figure shakey-figure shows a version of Shakey’s world consisting of four rooms lined up along a corridor, where each room has a door and a light switch. The actions in Shakey’s world include moving from place to place, pushing movable objects (such as boxes), climbing onto and down from diff --git a/markdown/10-Classical-Planning/exercises/ex_8/question.md b/markdown/10-Classical-Planning/exercises/ex_8/question.md index 4a7c4dac49..cf62be6641 100644 --- a/markdown/10-Classical-Planning/exercises/ex_8/question.md +++ b/markdown/10-Classical-Planning/exercises/ex_8/question.md @@ -1,7 +1,7 @@ -Figure sussman-anomaly-figure -(page sussman-anomaly-figure) shows a blocks-world problem that is known as the {Sussman anomaly}. +Figure sussman-anomaly-figure +(page sussman-anomaly-figure) shows a blocks-world problem that is known as the {Sussman anomaly}. The problem was considered anomalous because the noninterleaved planners of the early 1970s could not solve it. Write a definition of the problem and solve it, either by hand or with a planning program. A diff --git a/markdown/10-Classical-Planning/index.md b/markdown/10-Classical-Planning/index.md index e8c7f2620e..c300dc4cf3 100644 --- a/markdown/10-Classical-Planning/index.md +++ b/markdown/10-Classical-Planning/index.md @@ -31,7 +31,7 @@ permalink: /planning-exercises/

diff --git a/markdown/11-Planning-And-Acting-In-The-Real-World/exercises/ex_5/question.md b/markdown/11-Planning-And-Acting-In-The-Real-World/exercises/ex_5/question.md index bcc1a37da4..657d99205e 100644 --- a/markdown/11-Planning-And-Acting-In-The-Real-World/exercises/ex_5/question.md +++ b/markdown/11-Planning-And-Acting-In-The-Real-World/exercises/ex_5/question.md @@ -1,5 +1,3 @@ -[Exercise 11.5 \[HLA-progression-exercise\]](ex_5/) - Write an algorithm that takes an initial state (specified by a set of propositional literals) and a sequence of HLAs (each defined by preconditions and angelic specifications of diff --git a/markdown/11-Planning-And-Acting-In-The-Real-World/exercises/ex_6/question.md b/markdown/11-Planning-And-Acting-In-The-Real-World/exercises/ex_6/question.md index 81082db6b9..2d0c248aa9 100644 --- a/markdown/11-Planning-And-Acting-In-The-Real-World/exercises/ex_6/question.md +++ b/markdown/11-Planning-And-Acting-In-The-Real-World/exercises/ex_6/question.md @@ -1,6 +1,6 @@ -In Figure jobshop-cpm-figure we showed how to describe +In Figure jobshop-cpm-figure we showed how to describe actions in a scheduling problem by using separate fields for , , and . Now suppose we wanted to combine scheduling with nondeterministic planning, which requires nondeterministic and conditional effects. diff --git a/markdown/12-Knowledge-Representation/exercises/ex_16/question.md b/markdown/12-Knowledge-Representation/exercises/ex_16/question.md index 486cd2e46a..5c756908c2 100644 --- a/markdown/12-Knowledge-Representation/exercises/ex_16/question.md +++ b/markdown/12-Knowledge-Representation/exercises/ex_16/question.md @@ -6,7 +6,7 @@ ${Go}(x,y)$, which takes it from city $x$ to city $y$ if there is a route between those cities. ${Road}(x, y)$ is true if and only if there is a road connecting cities $x$ and $y$; if there is, then ${Distance}(x, y)$ gives the length of the road. See the map on -page romania-distances-figure for an example. The robot begins in Arad and must +page romania-distances-figure for an example. The robot begins in Arad and must reach Bucharest.
1. Write a suitable logical description of the initial situation of diff --git a/markdown/12-Knowledge-Representation/exercises/ex_22/question.md b/markdown/12-Knowledge-Representation/exercises/ex_22/question.md index 5489f89cad..dc496cba02 100644 --- a/markdown/12-Knowledge-Representation/exercises/ex_22/question.md +++ b/markdown/12-Knowledge-Representation/exercises/ex_22/question.md @@ -1,6 +1,6 @@ -(Adapted from @Fagin+al:1995.) Consider a game played +(Adapted from Fagin+al:1995.) Consider a game played with a deck of just 8 cards, 4 aces and 4 kings. The three players, Alice, Bob, and Carlos, are dealt two cards each. Without looking at them, they place the cards on their foreheads so that the other players diff --git a/markdown/12-Knowledge-Representation/exercises/ex_23/question.md b/markdown/12-Knowledge-Representation/exercises/ex_23/question.md index 3e17b195b3..e01440a822 100644 --- a/markdown/12-Knowledge-Representation/exercises/ex_23/question.md +++ b/markdown/12-Knowledge-Representation/exercises/ex_23/question.md @@ -1,7 +1,7 @@ The assumption of logical omniscience, discussed on -page logical-omniscience, is of course not true of any actual reasoners. +page logical-omniscience, is of course not true of any actual reasoners. Rather, it is an idealization of the reasoning process that may be more or less acceptable depending on the applications. Discuss the reasonableness of the assumption for each of the following diff --git a/markdown/12-Knowledge-Representation/exercises/ex_24/question.md b/markdown/12-Knowledge-Representation/exercises/ex_24/question.md index 3e17b195b3..e01440a822 100644 --- a/markdown/12-Knowledge-Representation/exercises/ex_24/question.md +++ b/markdown/12-Knowledge-Representation/exercises/ex_24/question.md @@ -1,7 +1,7 @@ The assumption of logical omniscience, discussed on -page logical-omniscience, is of course not true of any actual reasoners. +page logical-omniscience, is of course not true of any actual reasoners. Rather, it is an idealization of the reasoning process that may be more or less acceptable depending on the applications. Discuss the reasonableness of the assumption for each of the following diff --git a/markdown/12-Knowledge-Representation/exercises/ex_25/question.md b/markdown/12-Knowledge-Representation/exercises/ex_25/question.md index b1ec423331..726d7a9f5c 100644 --- a/markdown/12-Knowledge-Representation/exercises/ex_25/question.md +++ b/markdown/12-Knowledge-Representation/exercises/ex_25/question.md @@ -1,5 +1,5 @@ Translate the following description logic expression (from -page description-logic-ex) into first-order logic, and comment on the result: +page description-logic-ex) into first-order logic, and comment on the result:
$$ And(Man, AtLeast(3,Son), AtMost(2,Daughter),
All(Son,And(Unemployed,Married, All(Spouse,Doctor ))),
All(Daughter,And(Professor, Fills(Department ,Physics,Math)))) diff --git a/markdown/12-Knowledge-Representation/exercises/ex_29/question.md b/markdown/12-Knowledge-Representation/exercises/ex_29/question.md index d869b97362..e2d63d7119 100644 --- a/markdown/12-Knowledge-Representation/exercises/ex_29/question.md +++ b/markdown/12-Knowledge-Representation/exercises/ex_29/question.md @@ -3,8 +3,8 @@ A complete solution to the problem of inexact matches to the buyer’s description in shopping is very difficult and requires a full array of natural language processing and information -retrieval techniques. (See Chapters nlp1-chapter -and nlp-english-chapter.) One small step is to allow the user to +retrieval techniques. (See Chapters nlp1-chapter +and nlp-english-chapter.) One small step is to allow the user to specify minimum and maximum values for various attributes. The buyer must use the following grammar for product descriptions:
diff --git a/markdown/12-Knowledge-Representation/exercises/ex_3/question.md b/markdown/12-Knowledge-Representation/exercises/ex_3/question.md index db8ce95c64..e84e5459bb 100644 --- a/markdown/12-Knowledge-Representation/exercises/ex_3/question.md +++ b/markdown/12-Knowledge-Representation/exercises/ex_3/question.md @@ -1,6 +1,6 @@ -Figure ontology-figure shows the top levels of a +Figure ontology-figure shows the top levels of a hierarchy for everything. Extend it to include as many real categories as possible. A good way to do this is to cover all the things in your everyday life. This includes objects and events. Start with waking up, diff --git a/markdown/13-Quantifying-Uncertainity/exercises/ex_15/question.md b/markdown/13-Quantifying-Uncertainity/exercises/ex_15/question.md index 17f48f9d29..3b6d2608dc 100644 --- a/markdown/13-Quantifying-Uncertainity/exercises/ex_15/question.md +++ b/markdown/13-Quantifying-Uncertainity/exercises/ex_15/question.md @@ -1,4 +1,4 @@ Show that the three forms of independence in -Equation (independence-equation) are equivalent. +Equation (independence-equation) are equivalent. diff --git a/markdown/13-Quantifying-Uncertainity/exercises/ex_20/question.md b/markdown/13-Quantifying-Uncertainity/exercises/ex_20/question.md index 1d14e5ce5e..13e3c5212d 100644 --- a/markdown/13-Quantifying-Uncertainity/exercises/ex_20/question.md +++ b/markdown/13-Quantifying-Uncertainity/exercises/ex_20/question.md @@ -11,4 +11,4 @@ some background evidence $\textbf{e}$:
$${\textbf{P}}(X,Y {{\,|\,}}\textbf{e}) = {\textbf{P}}(X{{\,|\,}}Y,\textbf{e}) {\textbf{P}}(Y{{\,|\,}}\textbf{e})\ .$$
2. Prove the conditionalized version of Bayes’ rule in - Equation (conditional-bayes-equation).
+ Equation (conditional-bayes-equation).
diff --git a/markdown/13-Quantifying-Uncertainity/exercises/ex_23/question.md b/markdown/13-Quantifying-Uncertainity/exercises/ex_23/question.md index b74a11c5ec..e6f864fe9e 100644 --- a/markdown/13-Quantifying-Uncertainity/exercises/ex_23/question.md +++ b/markdown/13-Quantifying-Uncertainity/exercises/ex_23/question.md @@ -5,5 +5,5 @@ normalization calculation for the meningitis example. First, make up a suitable value for $P(s{{\,|\,}}\lnot m)$, and use it to calculate unnormalized values for $P(m{{\,|\,}}s)$ and $P(\lnot m {{\,|\,}}s)$ (i.e., ignoring the $P(s)$ term in the Bayes’ rule expression, -Equation (meningitis-bayes-equation). Now normalize +Equation (meningitis-bayes-equation). Now normalize these values so that they add to 1. diff --git a/markdown/13-Quantifying-Uncertainity/exercises/ex_26/question.md b/markdown/13-Quantifying-Uncertainity/exercises/ex_26/question.md index 42e0ac76c3..c37da3e77f 100644 --- a/markdown/13-Quantifying-Uncertainity/exercises/ex_26/question.md +++ b/markdown/13-Quantifying-Uncertainity/exercises/ex_26/question.md @@ -1,6 +1,6 @@ -(Adapted from Pearl [-@Pearl:1988].) Suppose you are a witness to a +(Adapted from Pearl [Pearl:1988].) Suppose you are a witness to a nighttime hit-and-run accident involving a taxi in Athens. All taxis in Athens are blue or green. You swear, under oath, that the taxi was blue. Extensive testing shows that, under the dim lighting conditions, diff --git a/markdown/13-Quantifying-Uncertainity/exercises/ex_31/question.md b/markdown/13-Quantifying-Uncertainity/exercises/ex_31/question.md index 4b033c4037..a3f7033760 100644 --- a/markdown/13-Quantifying-Uncertainity/exercises/ex_31/question.md +++ b/markdown/13-Quantifying-Uncertainity/exercises/ex_31/question.md @@ -2,5 +2,5 @@ Implement a hybrid probabilistic agent for the wumpus world, based on the hybrid agent in -Figure hybrid-wumpus-agent-algorithm and the +Figure hybrid-wumpus-agent-algorithm and the probabilistic inference procedure outlined in this chapter. diff --git a/markdown/13-Quantifying-Uncertainity/exercises/ex_4/question.md b/markdown/13-Quantifying-Uncertainity/exercises/ex_4/question.md index 0f715705b1..31a84983df 100644 --- a/markdown/13-Quantifying-Uncertainity/exercises/ex_4/question.md +++ b/markdown/13-Quantifying-Uncertainity/exercises/ex_4/question.md @@ -4,7 +4,7 @@ Would it be rational for an agent to hold the three beliefs $P(A) {{\,=\,}}{0.4}$, $P(B) {{\,=\,}}{0.3}$, and $P(A \lor B) {{\,=\,}}{0.5}$? If so, what range of probabilities would be rational for the agent to hold for $A \land B$? Make up a table like -the one in Figure de-finetti-table, and show how it +the one in Figure de-finetti-table, and show how it supports your argument about rationality. Then draw another version of the table where $P(A \lor B) {{\,=\,}}{0.7}$. Explain why it is rational to have this probability, diff --git a/markdown/13-Quantifying-Uncertainity/exercises/ex_5/question.md b/markdown/13-Quantifying-Uncertainity/exercises/ex_5/question.md index 7fdd1a59cf..216ade7733 100644 --- a/markdown/13-Quantifying-Uncertainity/exercises/ex_5/question.md +++ b/markdown/13-Quantifying-Uncertainity/exercises/ex_5/question.md @@ -1,7 +1,7 @@ This question deals with the properties -of possible worlds, defined on page possible-worlds-page as assignments to all +of possible worlds, defined on page possible-worlds-page as assignments to all random variables. We will work with propositions that correspond to exactly one possible world because they pin down the assignments of all the variables. In probability theory, such propositions are called atomic event. For diff --git a/markdown/13-Quantifying-Uncertainity/exercises/ex_6/question.md b/markdown/13-Quantifying-Uncertainity/exercises/ex_6/question.md index 36e0995334..19ba634745 100644 --- a/markdown/13-Quantifying-Uncertainity/exercises/ex_6/question.md +++ b/markdown/13-Quantifying-Uncertainity/exercises/ex_6/question.md @@ -1,6 +1,6 @@ Prove -Equation (kolmogorov-disjunction-equation) from -Equations basic-probability-axiom-equation -and (proposition-probability-equation. +Equation (kolmogorov-disjunction-equation) from +Equations basic-probability-axiom-equation +and (proposition-probability-equation. diff --git a/markdown/13-Quantifying-Uncertainity/exercises/ex_8/question.md b/markdown/13-Quantifying-Uncertainity/exercises/ex_8/question.md index b9d3c51f9d..13d3199cb7 100644 --- a/markdown/13-Quantifying-Uncertainity/exercises/ex_8/question.md +++ b/markdown/13-Quantifying-Uncertainity/exercises/ex_8/question.md @@ -1,7 +1,7 @@ Given the full joint distribution shown in -Figure dentist-joint-table, calculate the following:
+Figure dentist-joint-table, calculate the following:
1. $\textbf{P}({toothache})$.
diff --git a/markdown/13-Quantifying-Uncertainity/exercises/ex_9/question.md b/markdown/13-Quantifying-Uncertainity/exercises/ex_9/question.md index 4313531df4..c71bf8a120 100644 --- a/markdown/13-Quantifying-Uncertainity/exercises/ex_9/question.md +++ b/markdown/13-Quantifying-Uncertainity/exercises/ex_9/question.md @@ -1,7 +1,7 @@ Given the full joint distribution shown in -Figure dentist-joint-table, calculate the following:
+Figure dentist-joint-table, calculate the following:
1. $\textbf{P}({toothache})$.
diff --git a/markdown/14-Probabilistic-Reasoning/exercises/ex_10/question.md b/markdown/14-Probabilistic-Reasoning/exercises/ex_10/question.md index a0b59e650e..23b1a010af 100644 --- a/markdown/14-Probabilistic-Reasoning/exercises/ex_10/question.md +++ b/markdown/14-Probabilistic-Reasoning/exercises/ex_10/question.md @@ -3,7 +3,7 @@ Consider a simple Bayesian network with root variables ${Cold}$, ${Flu}$, and ${Malaria}$ and child variable ${Fever}$, with a noisy-OR conditional distribution for ${Fever}$ as described in -Section canonical-distribution-section. By adding +Section canonical-distribution-section. By adding appropriate auxiliary variables for inhibition events and fever-inducing events, construct an equivalent Bayesian network whose CPTs (except for root variables) are deterministic. Define the CPTs and prove diff --git a/markdown/14-Probabilistic-Reasoning/exercises/ex_11/question.md b/markdown/14-Probabilistic-Reasoning/exercises/ex_11/question.md index b0615cd1c2..54d74e0b95 100644 --- a/markdown/14-Probabilistic-Reasoning/exercises/ex_11/question.md +++ b/markdown/14-Probabilistic-Reasoning/exercises/ex_11/question.md @@ -1,7 +1,7 @@ Consider the family of linear Gaussian networks, as -defined on page LG-network-page
. +defined on page LG-network-page
. 1. In a two-variable network, let $X_1$ be the parent of $X_2$, let $X_1$ have a Gaussian prior, and let diff --git a/markdown/14-Probabilistic-Reasoning/exercises/ex_12/question.md b/markdown/14-Probabilistic-Reasoning/exercises/ex_12/question.md index 7c632f1124..21f62d2699 100644 --- a/markdown/14-Probabilistic-Reasoning/exercises/ex_12/question.md +++ b/markdown/14-Probabilistic-Reasoning/exercises/ex_12/question.md @@ -1,7 +1,7 @@ The probit distribution defined on -page probit-page describes the probability distribution for a Boolean +page probit-page describes the probability distribution for a Boolean child, given a single continuous parent.
1. How might the definition be extended to cover multiple continuous diff --git a/markdown/14-Probabilistic-Reasoning/exercises/ex_14/question.md b/markdown/14-Probabilistic-Reasoning/exercises/ex_14/question.md index c077f12615..2358318aa4 100644 --- a/markdown/14-Probabilistic-Reasoning/exercises/ex_14/question.md +++ b/markdown/14-Probabilistic-Reasoning/exercises/ex_14/question.md @@ -6,7 +6,7 @@ telescope can also (with a much smaller probability $f$) be badly out of focus (events $F_1$ and $F_2$), in which case the scientist will undercount by three or more stars (or if $N$ is less than 3, fail to detect any stars at all). Consider the three networks shown in -Figure telescope-nets-figure.
+Figure telescope-nets-figure.
1. Which of these Bayesian networks are correct (but not necessarily efficient) representations of the preceding information?
diff --git a/markdown/14-Probabilistic-Reasoning/exercises/ex_15/question.md b/markdown/14-Probabilistic-Reasoning/exercises/ex_15/question.md index 062bfd6d72..af42f6e383 100644 --- a/markdown/14-Probabilistic-Reasoning/exercises/ex_15/question.md +++ b/markdown/14-Probabilistic-Reasoning/exercises/ex_15/question.md @@ -1,12 +1,12 @@ Consider the network shown in -Figure (ii), and assume that the +Figure telescope-nets-figure(ii), and assume that the two telescopes work identically. $N{{\,\in\\,}}\{1,2,3\}$ and $M_1,M_2{{\,\in\\,}}\{0,1,2,3,4\}$, with the symbolic CPTs as described -in Exercise telescope-exercise. Using the enumeration -algorithm (Figure enumeration-algorithm on -page enumeration-algorithm), calculate the probability distribution +in Exercise telescope-exercise. Using the enumeration +algorithm (Figure enumeration-algorithm on +page enumeration-algorithm), calculate the probability distribution ${\textbf{P}}(N{{\,|\,}}M_1{{\,=\,}}2,M_2{{\,=\,}}2)$.
@@ -16,8 +16,3 @@ ${\textbf{P}}(N{{\,|\,}}M_1{{\,=\,}}2,M_2{{\,=\,}}2)$.
-
- car-starts-figure -
A simple Bayes net with - Boolean variables B = {BrokeElectionLaw}, I = {Indicted}, M = {PoliticallyMotivatedProsecutor}, G= {FoundGuilty}, J = {Jailed}.
-
diff --git a/markdown/14-Probabilistic-Reasoning/exercises/ex_16/question.md b/markdown/14-Probabilistic-Reasoning/exercises/ex_16/question.md index dce8b36a09..ad74d44252 100644 --- a/markdown/14-Probabilistic-Reasoning/exercises/ex_16/question.md +++ b/markdown/14-Probabilistic-Reasoning/exercises/ex_16/question.md @@ -1,6 +1,6 @@ -Consider the Bayes net shown in Figure politics-figure
. +Consider the Bayes net shown in Figure politics-figure
. 1. Which of the following are asserted by the network structure?
@@ -18,12 +18,17 @@ Consider the Bayes net shown in Figure politics-figu motivated prosecutor.
4. A context-specific independence (see - page 
CSI-page) allows a variable to be independent of some of + page CSI-page) allows a variable to be independent of some of its parents given certain values of others. In addition to the usual conditional independences given by the graph structure, what context-specific independences exist in the Bayes net in - Figure politics-figure?
+ Figure politics-figure?
5. Suppose we want to add the variable $P{{\,=\,}}{PresidentialPardon}$ to the network; draw the new network and briefly explain any links you add.
+
+ politics-figure +
A simple Bayes net with + Boolean variables B = {BrokeElectionLaw}, I = {Indicted}, M = {PoliticallyMotivatedProsecutor}, G= {FoundGuilty}, J = {Jailed}.
+
\ No newline at end of file diff --git a/markdown/14-Probabilistic-Reasoning/exercises/ex_17/question.md b/markdown/14-Probabilistic-Reasoning/exercises/ex_17/question.md index dce8b36a09..bfa28edf6b 100644 --- a/markdown/14-Probabilistic-Reasoning/exercises/ex_17/question.md +++ b/markdown/14-Probabilistic-Reasoning/exercises/ex_17/question.md @@ -1,6 +1,6 @@ -Consider the Bayes net shown in Figure politics-figure
. +Consider the Bayes net shown in Figure politics-figure
. 1. Which of the following are asserted by the network structure?
@@ -18,11 +18,11 @@ Consider the Bayes net shown in Figure politics-figu motivated prosecutor.
4. A context-specific independence (see - page 
CSI-page) allows a variable to be independent of some of + page CSI-page) allows a variable to be independent of some of its parents given certain values of others. In addition to the usual conditional independences given by the graph structure, what context-specific independences exist in the Bayes net in - Figure politics-figure?
+ Figure politics-figure?
5. Suppose we want to add the variable $P{{\,=\,}}{PresidentialPardon}$ to the network; draw the new diff --git a/markdown/14-Probabilistic-Reasoning/exercises/ex_18/question.md b/markdown/14-Probabilistic-Reasoning/exercises/ex_18/question.md index 935aae4fe5..a4f998aebe 100644 --- a/markdown/14-Probabilistic-Reasoning/exercises/ex_18/question.md +++ b/markdown/14-Probabilistic-Reasoning/exercises/ex_18/question.md @@ -1,9 +1,9 @@ Consider the variable elimination algorithm in -Figure elimination-ask-algorithm (page elimination-ask-algorithm).
+Figure elimination-ask-algorithm (page elimination-ask-algorithm).
-1. Section exact-inference-section applies variable +1. Section exact-inference-section applies variable elimination to the query $${\textbf{P}}({Burglary}{{\,|\,}}{JohnCalls}{{\,=\,}}{true},{MaryCalls}{{\,=\,}}{true})\ .$$ Perform the calculations indicated and check that the answer diff --git a/markdown/14-Probabilistic-Reasoning/exercises/ex_21/question.md b/markdown/14-Probabilistic-Reasoning/exercises/ex_21/question.md index b9e7886a94..c63f8fa0c4 100644 --- a/markdown/14-Probabilistic-Reasoning/exercises/ex_21/question.md +++ b/markdown/14-Probabilistic-Reasoning/exercises/ex_21/question.md @@ -2,8 +2,8 @@ Consider the query ${\textbf{P}}({Rain}{{\,|\,}}{Sprinkler}{{\,=\,}}{true},{WetGrass}{{\,=\,}}{true})$ -in Figure rain-clustering-figure(a) -(page rain-clustering-figure) and how Gibbs sampling can answer it.
+in Figure rain-clustering-figure(a) +(page rain-clustering-figure) and how Gibbs sampling can answer it.
1. How many states does the Markov chain have?
diff --git a/markdown/14-Probabilistic-Reasoning/exercises/ex_3/question.md b/markdown/14-Probabilistic-Reasoning/exercises/ex_3/question.md index 6b2007f13c..dafb23c321 100644 --- a/markdown/14-Probabilistic-Reasoning/exercises/ex_3/question.md +++ b/markdown/14-Probabilistic-Reasoning/exercises/ex_3/question.md @@ -1,7 +1,7 @@ Equation (parameter-joint-repn-equation on -page parameter-joint-repn-equation defines the joint distribution represented by a +page parameter-joint-repn-equation defines the joint distribution represented by a Bayesian network in terms of the parameters $\theta(X_i{{\,|\,}}{Parents}(X_i))$. This exercise asks you to derive the equivalence between the parameters and the conditional probabilities @@ -9,12 +9,12 @@ ${\textbf{ P}}(X_i{{\,|\,}}{Parents}(X_i))$ from this definition.
1. Consider a simple network $X\rightarrow Y\rightarrow Z$ with three Boolean variables. Use - Equations (conditional-probability-equation and (marginalization-equation + Equations (conditional-probability-equation and (marginalization-equation (pages conditional-probability-equation and marginalization-equation) to express the conditional probability $P(z{{\,|\,}}y)$ as the ratio of two sums, each over entries in the joint distribution ${\textbf{P}}(X,Y,Z)$.
-2. Now use Equation (parameter-joint-repn-equation to +2. Now use Equation (parameter-joint-repn-equation to write this expression in terms of the network parameters $\theta(X)$, $\theta(Y{{\,|\,}}X)$, and $\theta(Z{{\,|\,}}Y)$.
diff --git a/markdown/14-Probabilistic-Reasoning/exercises/ex_4/question.md b/markdown/14-Probabilistic-Reasoning/exercises/ex_4/question.md index e1d778a3c2..40b556d51b 100644 --- a/markdown/14-Probabilistic-Reasoning/exercises/ex_4/question.md +++ b/markdown/14-Probabilistic-Reasoning/exercises/ex_4/question.md @@ -2,7 +2,7 @@ The arc reversal operation of in a Bayesian network allows us to change the direction of an arc $X\rightarrow Y$ while preserving the joint probability -distribution that the network represents @Shachter:1986. Arc reversal +distribution that the network represents Shachter:1986. Arc reversal may require introducing new arcs: all the parents of $X$ also become parents of $Y$, and all parents of $Y$ also become parents of $X$.
diff --git a/markdown/14-Probabilistic-Reasoning/exercises/ex_5/question.md b/markdown/14-Probabilistic-Reasoning/exercises/ex_5/question.md index c0efeb8a01..7bfc579e43 100644 --- a/markdown/14-Probabilistic-Reasoning/exercises/ex_5/question.md +++ b/markdown/14-Probabilistic-Reasoning/exercises/ex_5/question.md @@ -1,7 +1,7 @@ Consider the Bayesian network in -Figure burglary-figure.
+Figure burglary-figure.
1. If no evidence is observed, are ${Burglary}$ and ${Earthquake}$ independent? Prove this from the numerical semantics and from the diff --git a/markdown/14-Probabilistic-Reasoning/exercises/ex_7/question.md b/markdown/14-Probabilistic-Reasoning/exercises/ex_7/question.md index a5b152f242..432eb0b419 100644 --- a/markdown/14-Probabilistic-Reasoning/exercises/ex_7/question.md +++ b/markdown/14-Probabilistic-Reasoning/exercises/ex_7/question.md @@ -11,7 +11,7 @@ from either of an individual’s parents, with a small nonzero probability $m$ of a random mutation flipping the handedness.
1. Which of the three networks in - Figure handedness-figure claim that + Figure handedness-figure claim that $ {\textbf{P}}(G_{father},G_{mother},G_{child}) = {\textbf{P}}(G_{father}){\textbf{P}}(G_{mother}){\textbf{P}}(G_{child})$?
2. Which of the three networks make independence claims that are diff --git a/markdown/14-Probabilistic-Reasoning/exercises/ex_8/question.md b/markdown/14-Probabilistic-Reasoning/exercises/ex_8/question.md index baa452d568..18120e7d97 100644 --- a/markdown/14-Probabilistic-Reasoning/exercises/ex_8/question.md +++ b/markdown/14-Probabilistic-Reasoning/exercises/ex_8/question.md @@ -2,8 +2,8 @@ The Markov blanket of a variable is defined on page markov-blanket-page. Prove that a variable is independent of all other variables in the network, given its Markov blanket and derive -Equation (markov-blanket-equation) -(page markov-blanket-equation). +Equation (markov-blanket-equation) +(page markov-blanket-equation).
car-starts-figure
A Bayesian network describing some features of a car's electrical system and engine. Each variable is Boolean, and the true value indicates that the corresponding aspect of the vehicle is in working order.
diff --git a/markdown/14-Probabilistic-Reasoning/exercises/ex_9/question.md b/markdown/14-Probabilistic-Reasoning/exercises/ex_9/question.md index b4276e55d3..74b5805061 100644 --- a/markdown/14-Probabilistic-Reasoning/exercises/ex_9/question.md +++ b/markdown/14-Probabilistic-Reasoning/exercises/ex_9/question.md @@ -1,7 +1,7 @@ Consider the network for car diagnosis shown in -Figure car-starts-figure
. +Figure car-starts-figure
. 1. Extend the network with the Boolean variables ${IcyWeather}$ and ${StarterMotor}$.
diff --git a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_12/question.md b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_12/question.md index 32a722b9ec..dd8e38ca94 100644 --- a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_12/question.md +++ b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_12/question.md @@ -6,7 +6,7 @@ system whose behavior switches unpredictably among a set of $k$ distinct a series of distinct maneuvers that the missile may attempt to track. A Bayesian network representation of such a switching Kalman filter model is shown in -Figure [switching-kf-figure](#switching-kf-figure). +Figure switching-kf-figure. 1. Suppose that the discrete state $S_t$ has $k$ possible values and that the prior continuous state estimate diff --git a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_13/question.md b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_13/question.md index c90af124a7..fe7bd900a3 100644 --- a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_13/question.md +++ b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_13/question.md @@ -1,6 +1,6 @@ Complete the missing step in the derivation -of Equation (kalman-one-step-equation) on -page kalman-one-step-equation, the first update step for the one-dimensional Kalman +of Equation (kalman-one-step-equation) on +page kalman-one-step-equation, the first update step for the one-dimensional Kalman filter. diff --git a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_14/question.md b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_14/question.md index 56cac88f60..6b83d0646a 100644 --- a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_14/question.md +++ b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_14/question.md @@ -1,8 +1,8 @@ Let us examine the behavior of the variance -update in Equation (kalman-univariate-equation) -(page kalman-univariate-equation).
+update in Equation (kalman-univariate-equation) +(page kalman-univariate-equation).
1. Plot the value of $\sigma_t^2$ as a function of $t$, given various values for $\sigma_x^2$ and $\sigma_z^2$.
diff --git a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_17/question.md b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_17/question.md index 8d1fa21528..b9475cb885 100644 --- a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_17/question.md +++ b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_17/question.md @@ -1,6 +1,6 @@ -For the DBN specified in Exercise sleep1-exercise and +For the DBN specified in Exercise sleep1-exercise and for the evidence values
$$ diff --git a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_18/question.md b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_18/question.md index d2ddf02f25..2898e5f51c 100644 --- a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_18/question.md +++ b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_18/question.md @@ -2,7 +2,7 @@ Suppose that a particular student shows up with red eyes and sleeps in class every day. Given the model described in -Exercise sleep1-exercise, explain why the probability +Exercise sleep1-exercise, explain why the probability that the student had enough sleep the previous night converges to a fixed point rather than continuing to go down as we gather more days of evidence. What is the fixed point? Answer this both numerically (by diff --git a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_19/question.md b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_19/question.md index ad5ad12ddd..f67af83cc2 100644 --- a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_19/question.md +++ b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_19/question.md @@ -2,17 +2,17 @@ This exercise analyzes in more detail the persistent-failure model for the battery sensor in -Figure battery-persistence-figure(a) -(page battery-persistence-figure).
+Figure battery-persistence-figure(a) +(page battery-persistence-figure).
-1. Figure battery-persistence-figure(b) stops at +1. Figure battery-persistence-figure(b) stops at $t=32$. Describe qualitatively what should happen as $t\to\infty$ if the sensor continues to read 0.
2. Suppose that the external temperature affects the battery sensor in such a way that transient failures become more likely as temperature increases. Show how to augment the DBN structure in - Figure battery-persistence-figure(a), and explain + Figure battery-persistence-figure(a), and explain any required changes to the CPTs.
3. Given the new network structure, can battery readings be used by the diff --git a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_3/question.md b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_3/question.md index e7b5c5f628..2308700c38 100644 --- a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_3/question.md +++ b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_3/question.md @@ -2,7 +2,7 @@ This exercise develops a space-efficient variant of the forward–backward algorithm described in -Figure forward-backward-algorithm (page forward-backward-algorithm). +Figure forward-backward-algorithm (page forward-backward-algorithm). We wish to compute $$\textbf{P} (\textbf{X}_k|\textbf{e}_{1:t})$$ for $$k=1,\ldots ,t$$. This will be done with a divide-and-conquer approach.
diff --git a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_4/question.md b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_4/question.md index a2080f6e75..4a09ba5218 100644 --- a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_4/question.md +++ b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_4/question.md @@ -1,6 +1,6 @@ -On page flawed-viterbi-page, we outlined a flawed +On page flawed-viterbi-page, we outlined a flawed procedure for finding the most likely state sequence, given an observation sequence. The procedure involves finding the most likely state at each time step, using smoothing, and returning the sequence diff --git a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_5/question.md b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_5/question.md index 0033b01cb4..8daca3c9c2 100644 --- a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_5/question.md +++ b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_5/question.md @@ -1,6 +1,6 @@ -Equation (matrix-filtering-equation) describes the +Equation (matrix-filtering-equation) describes the filtering process for the matrix formulation of HMMs. Give a similar equation for the calculation of likelihoods, which was described -generically in Equation (forward-likelihood-equation). +generically in Equation (forward-likelihood-equation). diff --git a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_6/question.md b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_6/question.md index 267f150a39..89a2b4da42 100644 --- a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_6/question.md +++ b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_6/question.md @@ -1,8 +1,8 @@ Consider the vacuum worlds of -Figure vacuum-maze-ch4-figure (perfect sensing) and -Figure vacuum-maze-hmm2-figure (noisy sensing). Suppose +Figure vacuum-maze-ch4-figure (perfect sensing) and +Figure vacuum-maze-hmm2-figure (noisy sensing). Suppose that the robot receives an observation sequence such that, with perfect sensing, there is exactly one possible location it could be in. Is this location necessarily the most probable location under noisy sensing for diff --git a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_7/question.md b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_7/question.md index d709960fce..f21e391735 100644 --- a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_7/question.md +++ b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_7/question.md @@ -1,6 +1,6 @@ -In Section hmm-localization-section, the prior +In Section hmm-localization-section, the prior distribution over locations is uniform and the transition model assumes an equal probability of moving to any neighboring square. What if those assumptions are wrong? Suppose that the initial location is actually diff --git a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_8/question.md b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_8/question.md index 348d371b53..d8fb695e7d 100644 --- a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_8/question.md +++ b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_8/question.md @@ -1,7 +1,7 @@ Consider a version of the vacuum robot -(page vacuum-maze-hmm2-figure) that has the policy of going straight for as long +(page vacuum-maze-hmm2-figure) that has the policy of going straight for as long as it can; only when it encounters an obstacle does it change to a new (randomly selected) heading. To model this robot, each state in the model consists of a (location, heading) pair. Implement diff --git a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_9/question.md b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_9/question.md index ce9e2ea3e1..540872e339 100644 --- a/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_9/question.md +++ b/markdown/15-Probabilistic-Reasoning-Over-Time/exercises/ex_9/question.md @@ -2,7 +2,7 @@ We have described three policies for the vacuum robot: (1) a uniform random walk, (2) a bias for wandering southeast, as described in -Exercise hmm-robust-exercise, and (3) the policy +Exercise hmm-robust-exercise, and (3) the policy described in Exercise roomba-viterbi-exercise. Suppose an observer is given the observation sequence from a vacuum robot, but is not sure which of the three policies the robot is following. What diff --git a/markdown/16-Making-Simple-Decisions/exercises/ex_17/question.md b/markdown/16-Making-Simple-Decisions/exercises/ex_17/question.md index c927526866..93462edc15 100644 --- a/markdown/16-Making-Simple-Decisions/exercises/ex_17/question.md +++ b/markdown/16-Making-Simple-Decisions/exercises/ex_17/question.md @@ -1,4 +1,4 @@ -Repeat Exercise airport-id-exercise, using the action-utility -representation shown in Figure airport-au-id-figure. +Repeat Exercise airport-id-exercise, using the action-utility +representation shown in Figure airport-au-id-figure. diff --git a/markdown/16-Making-Simple-Decisions/exercises/ex_18/question.md b/markdown/16-Making-Simple-Decisions/exercises/ex_18/question.md index f2bf6bd7e6..6f4183a6ea 100644 --- a/markdown/16-Making-Simple-Decisions/exercises/ex_18/question.md +++ b/markdown/16-Making-Simple-Decisions/exercises/ex_18/question.md @@ -1,6 +1,6 @@ For either of the airport-siting diagrams from Exercises -[airport-id-exercise] and [airport-au-id-exercise], to which +airport-id-exercise and airport-au-id-exercise, to which conditional probability table entry is the utility most sensitive, given the available evidence? diff --git a/markdown/16-Making-Simple-Decisions/exercises/ex_21/question.md b/markdown/16-Making-Simple-Decisions/exercises/ex_21/question.md index fb17c889b9..afabd28b17 100644 --- a/markdown/16-Making-Simple-Decisions/exercises/ex_21/question.md +++ b/markdown/16-Making-Simple-Decisions/exercises/ex_21/question.md @@ -1,7 +1,7 @@ This exercise completes the analysis of the -airport-siting problem in Figure airport-id-figure
. +airport-siting problem in Figure airport-id-figure
. 1. Provide reasonable variable domains, probabilities, and utilities for the network, assuming that there are three possible sites.
diff --git a/markdown/16-Making-Simple-Decisions/exercises/ex_22/question.md b/markdown/16-Making-Simple-Decisions/exercises/ex_22/question.md index 17a5fe261b..7d87d67331 100644 --- a/markdown/16-Making-Simple-Decisions/exercises/ex_22/question.md +++ b/markdown/16-Making-Simple-Decisions/exercises/ex_22/question.md @@ -1,6 +1,6 @@ -(Adapted from Pearl [@Pearl:1988].) A used-car +(Adapted from Pearl [Pearl:1988].) A used-car buyer can decide to carry out various tests with various costs (e.g., kick the tires, take the car to a qualified mechanic) and then, depending on the outcome of the tests, decide which car to buy. We will diff --git a/markdown/16-Making-Simple-Decisions/exercises/ex_23/question.md b/markdown/16-Making-Simple-Decisions/exercises/ex_23/question.md index 46dfa6d42b..0f74302230 100644 --- a/markdown/16-Making-Simple-Decisions/exercises/ex_23/question.md +++ b/markdown/16-Making-Simple-Decisions/exercises/ex_23/question.md @@ -1,7 +1,7 @@ Recall the definition of value of -information in Section [VPI-section](#/).
+information
in Section VPI-section.
1. Prove that the value of information is nonnegative and order independent.
diff --git a/markdown/16-Making-Simple-Decisions/exercises/ex_6/question.md b/markdown/16-Making-Simple-Decisions/exercises/ex_6/question.md index 8ff2e42ec8..fbb0f0715e 100644 --- a/markdown/16-Making-Simple-Decisions/exercises/ex_6/question.md +++ b/markdown/16-Making-Simple-Decisions/exercises/ex_6/question.md @@ -12,7 +12,7 @@ individually in sealed, identical, black boxes.
Now you, the customer, have just bought a Surprise candy at the store but have not yet opened the box. Consider the three Bayes nets in -Figure 3candy-figure.
+Figure 3candy-figure.
1. Which network(s) can correctly represent ${\textbf{P}}(Flavor,Wrapper,Shape)$?
diff --git a/markdown/16-Making-Simple-Decisions/exercises/ex_7/question.md b/markdown/16-Making-Simple-Decisions/exercises/ex_7/question.md index b057aed2ef..b96aa88eb1 100644 --- a/markdown/16-Making-Simple-Decisions/exercises/ex_7/question.md +++ b/markdown/16-Making-Simple-Decisions/exercises/ex_7/question.md @@ -12,7 +12,7 @@ individually in sealed, identical, black boxes.
Now you, the customer, have just bought a Surprise candy at the store but have not yet opened the box. Consider the three Bayes nets in -Figure 3candy-figure.
1. Which network(s) can correctly represent ${\textbf{P}}(Flavor,Wrapper,Shape)$?
diff --git a/markdown/16-Making-Simple-Decisions/exercises/ex_8/question.md b/markdown/16-Making-Simple-Decisions/exercises/ex_8/question.md index 7eebbfd3fb..37faf60d82 100644 --- a/markdown/16-Making-Simple-Decisions/exercises/ex_8/question.md +++ b/markdown/16-Making-Simple-Decisions/exercises/ex_8/question.md @@ -1,4 +1,4 @@ Prove that the judgments $B \succ A$ and $C \succ D$ in the Allais -paradox (page allais-page) violate the axiom of substitutability. +paradox (page allais-page) violate the axiom of substitutability. diff --git a/markdown/16-Making-Simple-Decisions/exercises/ex_9/question.md b/markdown/16-Making-Simple-Decisions/exercises/ex_9/question.md index d06b1bfe38..34c5d2a4d1 100644 --- a/markdown/16-Making-Simple-Decisions/exercises/ex_9/question.md +++ b/markdown/16-Making-Simple-Decisions/exercises/ex_9/question.md @@ -1,6 +1,6 @@ -Consider the Allais paradox described on page allais-page: an agent +Consider the Allais paradox described on page allais-page: an agent who prefers $B$ over $A$ (taking the sure thing), and $C$ over $D$ (taking the higher EMV) is not acting rationally, according to utility theory. Do you think this indicates a problem for the agent, a problem diff --git a/markdown/17-Making-Complex-Decision/exercises/ex_1/question.md b/markdown/17-Making-Complex-Decision/exercises/ex_1/question.md index 39c54e6b6e..45ce313d9b 100644 --- a/markdown/17-Making-Complex-Decision/exercises/ex_1/question.md +++ b/markdown/17-Making-Complex-Decision/exercises/ex_1/question.md @@ -1,7 +1,7 @@ For the $4\times 3$ world shown in -Figure sequential-decision-world-figure., calculate +Figure sequential-decision-world-figure., calculate which squares can be reached from (1,1) by the action sequence $[{Up},{Up},{Right},{Right},{Right}]$ and with what probabilities. Explain how this computation is related to the prediction diff --git a/markdown/17-Making-Complex-Decision/exercises/ex_10/question.md b/markdown/17-Making-Complex-Decision/exercises/ex_10/question.md index c2be96e323..d467112573 100644 --- a/markdown/17-Making-Complex-Decision/exercises/ex_10/question.md +++ b/markdown/17-Making-Complex-Decision/exercises/ex_10/question.md @@ -1,7 +1,7 @@ Consider the $3 \times 3$ world shown in -Figure grid-mdp-figure(a). The transition model is the +Figure grid-mdp-figure(a). The transition model is the same as in the $4\times 3$ -Figure sequential-decision-world-figure: 80% of the +Figure sequential-decision-world-figure: 80% of the time the agent goes in the direction it selects; the rest of the time it moves at right angles to the intended direction.
diff --git a/markdown/17-Making-Complex-Decision/exercises/ex_11/question.md b/markdown/17-Making-Complex-Decision/exercises/ex_11/question.md index de76efd5f3..0bfa1f84f4 100644 --- a/markdown/17-Making-Complex-Decision/exercises/ex_11/question.md +++ b/markdown/17-Making-Complex-Decision/exercises/ex_11/question.md @@ -1,7 +1,7 @@ Consider the $101 \times 3$ world shown in -Figure grid-mdp-figure(b). In the start state the agent +Figure grid-mdp-figure(b). In the start state the agent has a choice of two deterministic actions, Up or Down, but in the other states the agent has one deterministic action, Right. Assuming a discounted reward diff --git a/markdown/17-Making-Complex-Decision/exercises/ex_13/question.md b/markdown/17-Making-Complex-Decision/exercises/ex_13/question.md index b89dc43758..e0ba6ac127 100644 --- a/markdown/17-Making-Complex-Decision/exercises/ex_13/question.md +++ b/markdown/17-Making-Complex-Decision/exercises/ex_13/question.md @@ -1,7 +1,7 @@ Consider the $4\times 3$ world shown in -Figure sequential-decision-world-figure
. +Figure sequential-decision-world-figure
. 1. Implement an environment simulator for this environment, such that the specific geography of the environment is easily altered. Some diff --git a/markdown/17-Making-Complex-Decision/exercises/ex_15/question.md b/markdown/17-Making-Complex-Decision/exercises/ex_15/question.md index 3c248c4ebb..44a14fc751 100644 --- a/markdown/17-Making-Complex-Decision/exercises/ex_15/question.md +++ b/markdown/17-Making-Complex-Decision/exercises/ex_15/question.md @@ -1,7 +1,7 @@ Let the initial belief state $b_0$ for the -$4\times 3$ POMDP on page 4x3-pomdp-page be the uniform distribution +$4\times 3$ POMDP on page 4x3-pomdp-page be the uniform distribution over the nonterminal states, i.e., $< \frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},0,0 >$. Calculate the exact belief state $b_1$ after the agent moves and its diff --git a/markdown/17-Making-Complex-Decision/exercises/ex_17/question.md b/markdown/17-Making-Complex-Decision/exercises/ex_17/question.md index 9ac0eb6d02..8f7dc368f1 100644 --- a/markdown/17-Making-Complex-Decision/exercises/ex_17/question.md +++ b/markdown/17-Making-Complex-Decision/exercises/ex_17/question.md @@ -1,7 +1,7 @@ Consider a version of the two-state POMDP on -page 2state-pomdp-page in which the sensor is 90% reliable in state 0 but +page 2state-pomdp-page in which the sensor is 90% reliable in state 0 but provides no information in state 1 (that is, it reports 0 or 1 with equal probability). Analyze, either qualitatively or quantitatively, the utility function and the optimal policy for this problem. diff --git a/markdown/17-Making-Complex-Decision/exercises/ex_2/question.md b/markdown/17-Making-Complex-Decision/exercises/ex_2/question.md index cb81c0c5ec..2309486c38 100644 --- a/markdown/17-Making-Complex-Decision/exercises/ex_2/question.md +++ b/markdown/17-Making-Complex-Decision/exercises/ex_2/question.md @@ -1,9 +1,9 @@ For the $4\times 3$ world shown in -Figure sequential-decision-world-figure, calculate +Figure sequential-decision-world-figure, calculate which squares can be reached from (1,1) by the action sequence $[{Right},{Right},{Right},{Up},{Up}]$ and with what probabilities. Explain how this computation is related to the prediction -task (see Section general-filtering-section) for a +task (see Section general-filtering-section) for a hidden Markov model. diff --git a/markdown/17-Making-Complex-Decision/exercises/ex_22/question.md b/markdown/17-Making-Complex-Decision/exercises/ex_22/question.md index 73905473ea..387c1e128c 100644 --- a/markdown/17-Making-Complex-Decision/exercises/ex_22/question.md +++ b/markdown/17-Making-Complex-Decision/exercises/ex_22/question.md @@ -1,6 +1,6 @@ -The following payoff matrix, from @Blinder:1983 by way of @Bernstein:1996, shows a game between +The following payoff matrix, from @Blinder:1983 by way of Bernstein:1996, shows a game between politicians and the Federal Reserve.
| | Fed: contract | Fed: do nothing | Fed: expand | diff --git a/markdown/17-Making-Complex-Decision/exercises/ex_25/question.md b/markdown/17-Making-Complex-Decision/exercises/ex_25/question.md index 34da3c24f5..ca9962de90 100644 --- a/markdown/17-Making-Complex-Decision/exercises/ex_25/question.md +++ b/markdown/17-Making-Complex-Decision/exercises/ex_25/question.md @@ -25,7 +25,7 @@ and 1 for a tie.
Under what conditions, in terms of $p$ and $q$, would it be rational for both teams to agree to this pact?
-4. @Longley+Sankaran:2005 report that since the rule change, the percentage of games with a +4. Longley+Sankaran:2005 report that since the rule change, the percentage of games with a winner in overtime went up 18.2%, as desired, but the percentage of overtime games also went up 3.6%. What does that suggest about possible collusion or conservative play after the rule change?
diff --git a/markdown/17-Making-Complex-Decision/exercises/ex_3/question.md b/markdown/17-Making-Complex-Decision/exercises/ex_3/question.md index c7c62c237a..97c9eaf1fc 100644 --- a/markdown/17-Making-Complex-Decision/exercises/ex_3/question.md +++ b/markdown/17-Making-Complex-Decision/exercises/ex_3/question.md @@ -2,9 +2,9 @@ Select a specific member of the set of policies that are optimal for $R(s)>0$ as shown in -Figure sequential-decision-policies-figure(b), and +Figure sequential-decision-policies-figure(b), and calculate the fraction of time the agent spends in each state, in the limit, if the policy is executed forever. (Hint: Construct the state-to-state transition probability matrix corresponding to the policy and see -Exercise markov-convergence-exercise.) +Exercise markov-convergence-exercise.) diff --git a/markdown/17-Making-Complex-Decision/exercises/ex_7/question.md b/markdown/17-Making-Complex-Decision/exercises/ex_7/question.md index 7c045885c5..5fa824ef1a 100644 --- a/markdown/17-Making-Complex-Decision/exercises/ex_7/question.md +++ b/markdown/17-Making-Complex-Decision/exercises/ex_7/question.md @@ -1,7 +1,7 @@ For the environment shown in -Figure sequential-decision-world-figure, find all the +Figure sequential-decision-world-figure, find all the threshold values for $R(s)$ such that the optimal policy changes when the threshold is crossed. You will need a way to calculate the optimal policy and its value for fixed $R(s)$. (Hint: Prove that diff --git a/markdown/17-Making-Complex-Decision/exercises/ex_8/question.md b/markdown/17-Making-Complex-Decision/exercises/ex_8/question.md index 412e790cf3..fd001e9952 100644 --- a/markdown/17-Making-Complex-Decision/exercises/ex_8/question.md +++ b/markdown/17-Making-Complex-Decision/exercises/ex_8/question.md @@ -1,7 +1,7 @@ -Equation (vi-contraction-equation) on -page vi-contraction-equation states that the Bellman operator is a contraction.
+Equation (vi-contraction-equation) on +page vi-contraction-equation states that the Bellman operator is a contraction.
1. Show that, for any functions $f$ and $g$, $$|\max_a f(a) - \max_a g(a)| \leq \max_a |f(a) - g(a)|\ .$$
diff --git a/markdown/17-Making-Complex-Decision/exercises/ex_9/question.md b/markdown/17-Making-Complex-Decision/exercises/ex_9/question.md index 618e4947c5..d85426de20 100644 --- a/markdown/17-Making-Complex-Decision/exercises/ex_9/question.md +++ b/markdown/17-Making-Complex-Decision/exercises/ex_9/question.md @@ -2,7 +2,7 @@ This exercise considers two-player MDPs that correspond to zero-sum, turn-taking games like those in -Chapter game-playing-chapter. Let the players be $A$ +Chapter game-playing-chapter. Let the players be $A$ and $B$, and let $R(s)$ be the reward for player $A$ in state $s$. (The reward for $B$ is always equal and opposite.)
@@ -16,7 +16,7 @@ reward for $B$ is always equal and opposite.)
and define a suitable termination criterion.
3. Consider the game described in - Figure line-game4-figure on page line-game4-figure. + Figure line-game4-figure on page line-game4-figure. Draw the state space (rather than the game tree), showing the moves by $A$ as solid lines and moves by $B$ as dashed lines. Mark each state with $R(s)$. You will find it helpful to arrange the states diff --git a/markdown/18-Learning-From-Examples/exercises/ex_11/question.md b/markdown/18-Learning-From-Examples/exercises/ex_11/question.md index 56866d747e..aab7528c6f 100644 --- a/markdown/18-Learning-From-Examples/exercises/ex_11/question.md +++ b/markdown/18-Learning-From-Examples/exercises/ex_11/question.md @@ -1,7 +1,7 @@ This exercise considers $\chi^2$ pruning of -decision trees (Section chi-squared-section
. +decision trees (Section chi-squared-section
. 1. Create a data set with two input attributes, such that the information gain at the root of the tree for both attributes is @@ -10,4 +10,4 @@ decision trees (Section chi-squared-section
. if applied bottom up? If applied top down?
2. Modify DECISION-TREE-LEARNING to include $\chi^2$-pruning. You might wish to consult - Quinlan [@Quinlan:1986] or [@Kearns+Mansour:1998] for details.
+ Quinlan [Quinlan:1986] or [Kearns+Mansour:1998] for details.
diff --git a/markdown/18-Learning-From-Examples/exercises/ex_13/question.md b/markdown/18-Learning-From-Examples/exercises/ex_13/question.md index f6d86a6510..3f83024583 100644 --- a/markdown/18-Learning-From-Examples/exercises/ex_13/question.md +++ b/markdown/18-Learning-From-Examples/exercises/ex_13/question.md @@ -1,7 +1,7 @@ In -Section broadening-decision-tree-section, we noted that +Section broadening-decision-tree-section, we noted that attributes with many different possible values can cause problems with the gain measure. Such attributes tend to split the examples into numerous small classes or even singleton classes, thereby appearing to diff --git a/markdown/18-Learning-From-Examples/exercises/ex_18/question.md b/markdown/18-Learning-From-Examples/exercises/ex_18/question.md index f7bd25d077..21c8b94561 100644 --- a/markdown/18-Learning-From-Examples/exercises/ex_18/question.md +++ b/markdown/18-Learning-From-Examples/exercises/ex_18/question.md @@ -1,7 +1,7 @@ This exercise concerns the expressiveness of -decision lists (Section learning-theory-section).
+decision lists (Section learning-theory-section).
1. Show that decision lists can represent any Boolean function, if the size of the tests is not limited.
diff --git a/markdown/18-Learning-From-Examples/exercises/ex_2/question.md b/markdown/18-Learning-From-Examples/exercises/ex_2/question.md index 28e3f44c3a..48678bef92 100644 --- a/markdown/18-Learning-From-Examples/exercises/ex_2/question.md +++ b/markdown/18-Learning-From-Examples/exercises/ex_2/question.md @@ -1,5 +1,5 @@ -Repeat Exercise infant-language-exercise for the case +Repeat Exercise infant-language-exercise for the case of learning to play tennis (or some other sport with which you are familiar). Is this supervised learning or reinforcement learning? diff --git a/markdown/18-Learning-From-Examples/exercises/ex_26/question.md b/markdown/18-Learning-From-Examples/exercises/ex_26/question.md index 64de25f534..9ef96ce855 100644 --- a/markdown/18-Learning-From-Examples/exercises/ex_26/question.md +++ b/markdown/18-Learning-From-Examples/exercises/ex_26/question.md @@ -1,6 +1,6 @@ Recall from -Chapter concept-learning-chapter that there are +Chapter concept-learning-chapter that there are $2^{2^n}$ distinct Boolean functions of $n$ inputs. How many of these are representable by a threshold perceptron? diff --git a/markdown/18-Learning-From-Examples/exercises/ex_28/question.md b/markdown/18-Learning-From-Examples/exercises/ex_28/question.md index 906b2a97a6..1c477064be 100644 --- a/markdown/18-Learning-From-Examples/exercises/ex_28/question.md +++ b/markdown/18-Learning-From-Examples/exercises/ex_28/question.md @@ -1,7 +1,7 @@ -Section logistic-regression-section -(page logistic-regression-section) noted that the output of the logistic function +Section logistic-regression-section +(page logistic-regression-section) noted that the output of the logistic function could be interpreted as a probability $p$ assigned by the model to the proposition that $f(\textbf{x}){{\,=\,}}1$; the probability that $f(\textbf{x}){{\,=\,}}0$ is therefore $1-p$. Write down the probability $p$ diff --git a/markdown/18-Learning-From-Examples/exercises/ex_32/question.md b/markdown/18-Learning-From-Examples/exercises/ex_32/question.md index 54427648ae..e2274d36fd 100644 --- a/markdown/18-Learning-From-Examples/exercises/ex_32/question.md +++ b/markdown/18-Learning-From-Examples/exercises/ex_32/question.md @@ -1,6 +1,4 @@ - - The neural network whose learning performance is measured in -Figure restaurant-back-prop-figure has four hidden +Figure restaurant-back-prop-figure has four hidden nodes. This number was chosen somewhat arbitrarily. Use a cross-validation method to find the best number of hidden nodes. diff --git a/markdown/18-Learning-From-Examples/exercises/ex_8/question.md b/markdown/18-Learning-From-Examples/exercises/ex_8/question.md index 7eed23ffdc..6323f57807 100644 --- a/markdown/18-Learning-From-Examples/exercises/ex_8/question.md +++ b/markdown/18-Learning-From-Examples/exercises/ex_8/question.md @@ -12,6 +12,6 @@ attributes ($A_1, A_2$, and $A_3$) and one binary output:
| $\textbf{x}_5$ | 1 | 1 | 0 | 1 | -Use the algorithm in Figure DTL-algorithm -(page DTL-algorithm) to learn a decision tree for these data. Show the +Use the algorithm in Figure DTL-algorithm +(page DTL-algorithm) to learn a decision tree for these data. Show the computations made to determine the attribute to split at each node. diff --git a/markdown/19-Knowledge-In-Learning/exercises/ex_1/question.md b/markdown/19-Knowledge-In-Learning/exercises/ex_1/question.md index 987d1b7323..bea57a8689 100644 --- a/markdown/19-Knowledge-In-Learning/exercises/ex_1/question.md +++ b/markdown/19-Knowledge-In-Learning/exercises/ex_1/question.md @@ -1,5 +1,5 @@ Show, by translating into conjunctive normal form and -applying resolution, that the conclusion drawn on page dbsig-page +applying resolution, that the conclusion drawn on page dbsig-page concerning Brazilians is sound. diff --git a/markdown/19-Knowledge-In-Learning/exercises/ex_8/question.md b/markdown/19-Knowledge-In-Learning/exercises/ex_8/question.md index 04dfb6ab5b..e8f08330fb 100644 --- a/markdown/19-Knowledge-In-Learning/exercises/ex_8/question.md +++ b/markdown/19-Knowledge-In-Learning/exercises/ex_8/question.md @@ -1,5 +1,5 @@ Using the data from the family tree in -Figure family2-figure, or a subset thereof, apply the +Figure family2-figure, or a subset thereof, apply the algorithm to learn a definition for the ${Ancestor}$ predicate. diff --git a/markdown/2-Intelligent-Agent/exercises/ex_10/index.md b/markdown/2-Intelligent-Agent/exercises/ex_10/index.md index cdb5a6ddca..66d2c0e891 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_10/index.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_10/index.md @@ -3,7 +3,7 @@ layout: exercise title: Exercise 2.10 permalink: /agents-exercises/ex_10/ breadcrumb: 2-Intelligent-Agent -canonical_id: ch2ex10 +canonical_id: ch2ex9 --- {% include mathjax_support %} diff --git a/markdown/2-Intelligent-Agent/exercises/ex_10/question.md b/markdown/2-Intelligent-Agent/exercises/ex_10/question.md index 2ad04900c1..b2e1c61323 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_10/question.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_10/question.md @@ -1,8 +1,7 @@ -Implement a performance-measuring environment -simulator for the vacuum-cleaner world depicted in -Figure vacuum-world-figure and specified on -page vacuum-rationality-page. Your implementation should be modular so that the -sensors, actuators, and environment characteristics (size, shape, dirt -placement, etc.) can be changed easily. (Note: for some -choices of programming language and operating system there are already -implementations in the online code repository.) + + +Consider a simple thermostat that turns on a furnace when the +temperature is at least 3 degrees below the setting, and turns off a +furnace when the temperature is at least 3 degrees above the setting. Is +a thermostat an instance of a simple reflex agent, a model-based reflex +agent, or a goal-based agent? diff --git a/markdown/2-Intelligent-Agent/exercises/ex_11/index.md b/markdown/2-Intelligent-Agent/exercises/ex_11/index.md index c5b62e6848..553c8ff014 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_11/index.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_11/index.md @@ -3,7 +3,7 @@ layout: exercise title: Exercise 2.11 permalink: /agents-exercises/ex_11/ breadcrumb: 2-Intelligent-Agent -canonical_id: ch2ex11 +canonical_id: ch2ex10 --- {% include mathjax_support %} diff --git a/markdown/2-Intelligent-Agent/exercises/ex_11/question.md b/markdown/2-Intelligent-Agent/exercises/ex_11/question.md index c17559c498..3944b9bae3 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_11/question.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_11/question.md @@ -1,5 +1,8 @@ -Implement a simple reflex agent for the vacuum environment in -Exercise vacuum-start-exercise. Run the environment -with this agent for all possible initial dirt configurations and agent -locations. Record the performance score for each configuration and the -overall average score. +Implement a performance-measuring environment +simulator for the vacuum-cleaner world depicted in +Figure vacuum-world-figure and specified on +page vacuum-rationality-page. Your implementation should be modular so that the +sensors, actuators, and environment characteristics (size, shape, dirt +placement, etc.) can be changed easily. (Note: for some +choices of programming language and operating system there are already +implementations in the online code repository.) diff --git a/markdown/2-Intelligent-Agent/exercises/ex_12/index.md b/markdown/2-Intelligent-Agent/exercises/ex_12/index.md index aa0edc8f8c..78800d3540 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_12/index.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_12/index.md @@ -3,7 +3,7 @@ layout: exercise title: Exercise 2.12 permalink: /agents-exercises/ex_12/ breadcrumb: 2-Intelligent-Agent -canonical_id: ch2ex12 +canonical_id: ch2ex11 --- {% include mathjax_support %} diff --git a/markdown/2-Intelligent-Agent/exercises/ex_12/question.md b/markdown/2-Intelligent-Agent/exercises/ex_12/question.md index dff900304d..623fa8ece6 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_12/question.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_12/question.md @@ -1,14 +1,5 @@ - - -Consider a modified version of the -vacuum environment in Exercise vacuum-start-exercise, -in which the agent is penalized one point for each movement.
- -1. Can a simple reflex agent be perfectly rational for this - environment? Explain.
- -2. What about a reflex agent with state? Design such an agent.
- -3. How do your answers to 1 and 2 - change if the agent’s percepts give it the clean/dirty status of - every square in the environment? +Implement a simple reflex agent for the vacuum environment in +Exercise vacuum-start-exercise. Run the environment +with this agent for all possible initial dirt configurations and agent +locations. Record the performance score for each configuration and the +overall average score. diff --git a/markdown/2-Intelligent-Agent/exercises/ex_13/index.md b/markdown/2-Intelligent-Agent/exercises/ex_13/index.md index dac2fda833..54af9cb17a 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_13/index.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_13/index.md @@ -3,7 +3,7 @@ layout: exercise title: Exercise 2.13 permalink: /agents-exercises/ex_13/ breadcrumb: 2-Intelligent-Agent -canonical_id: ch2ex13 +canonical_id: ch2ex12 --- {% include mathjax_support %} diff --git a/markdown/2-Intelligent-Agent/exercises/ex_13/question.md b/markdown/2-Intelligent-Agent/exercises/ex_13/question.md index 5399217764..c2857ebf0e 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_13/question.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_13/question.md @@ -1,19 +1,14 @@ + + Consider a modified version of the -vacuum environment in Exercise vacuum-start-exercise, -in which the geography of the environment—its extent, boundaries, and -obstacles—is unknown, as is the initial dirt configuration. (The agent -can go Up and Down as well as Left and Right.)
+vacuum environment in Exercise vacuum-start-exercise, +in which the agent is penalized one point for each movement.
1. Can a simple reflex agent be perfectly rational for this environment? Explain.
-2. Can a simple reflex agent with a randomized agent - function outperform a simple reflex agent? Design such an agent and - measure its performance on several environments.
- -3. Can you design an environment in which your randomized agent will - perform poorly? Show your results.
+2. What about a reflex agent with state? Design such an agent.
-4. Can a reflex agent with state outperform a simple reflex agent? - Design such an agent and measure its performance on several - environments. Can you design a rational agent of this type? +3. How do your answers to 1 and 2 + change if the agent’s percepts give it the clean/dirty status of + every square in the environment? diff --git a/markdown/2-Intelligent-Agent/exercises/ex_14/index.md b/markdown/2-Intelligent-Agent/exercises/ex_14/index.md index 9dc2f36c95..bd17fb3ee8 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_14/index.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_14/index.md @@ -3,7 +3,7 @@ layout: exercise title: Exercise 2.14 permalink: /agents-exercises/ex_14/ breadcrumb: 2-Intelligent-Agent -canonical_id: ch2ex14 +canonical_id: ch2ex13 --- {% include mathjax_support %} diff --git a/markdown/2-Intelligent-Agent/exercises/ex_14/question.md b/markdown/2-Intelligent-Agent/exercises/ex_14/question.md index e95ddd812f..15a6e59026 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_14/question.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_14/question.md @@ -1,5 +1,19 @@ -Repeat Exercise vacuum-unknown-geog-exercise for the case in -which the location sensor is replaced with a “bump” sensor that detects -the agent’s attempts to move into an obstacle or to cross the boundaries -of the environment. Suppose the bump sensor stops working; how should -the agent behave? +Consider a modified version of the +vacuum environment in Exercise vacuum-start-exercise, +in which the geography of the environment—its extent, boundaries, and +obstacles—is unknown, as is the initial dirt configuration. (The agent +can go Up and Down as well as Left and Right.)
+ +1. Can a simple reflex agent be perfectly rational for this + environment? Explain.
+ +2. Can a simple reflex agent with a randomized agent + function outperform a simple reflex agent? Design such an agent and + measure its performance on several environments.
+ +3. Can you design an environment in which your randomized agent will + perform poorly? Show your results.
+ +4. Can a reflex agent with state outperform a simple reflex agent? + Design such an agent and measure its performance on several + environments. Can you design a rational agent of this type? diff --git a/markdown/2-Intelligent-Agent/exercises/ex_15/index.md b/markdown/2-Intelligent-Agent/exercises/ex_15/index.md index 2f83bc6bf1..9091821b48 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_15/index.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_15/index.md @@ -3,7 +3,7 @@ layout: exercise title: Exercise 2.15 permalink: /agents-exercises/ex_15/ breadcrumb: 2-Intelligent-Agent -canonical_id: ch2ex15 +canonical_id: ch2ex14 --- {% include mathjax_support %} diff --git a/markdown/2-Intelligent-Agent/exercises/ex_15/question.md b/markdown/2-Intelligent-Agent/exercises/ex_15/question.md index 1e7752e8e5..2756a0afac 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_15/question.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_15/question.md @@ -1,12 +1,5 @@ -The vacuum environments in the preceding -exercises have all been deterministic. Discuss possible agent programs -for each of the following stochastic versions:
- -1. Murphy’s law: twenty-five percent of the time, the Suck action - fails to clean the floor if it is dirty and deposits dirt onto the - floor if the floor is clean. How is your agent program affected if - the dirt sensor gives the wrong answer 10% of the time?
- -2. Small children: At each time step, each clean square has a 10% - chance of becoming dirty. Can you come up with a rational agent - design for this case? +Repeat Exercise vacuum-unknown-geog-exercise for the case in +which the location sensor is replaced with a “bump” sensor that detects +the agent’s attempts to move into an obstacle or to cross the boundaries +of the environment. Suppose the bump sensor stops working; how should +the agent behave? diff --git a/markdown/2-Intelligent-Agent/exercises/ex_16/index.md b/markdown/2-Intelligent-Agent/exercises/ex_16/index.md new file mode 100644 index 0000000000..bc317b453c --- /dev/null +++ b/markdown/2-Intelligent-Agent/exercises/ex_16/index.md @@ -0,0 +1,10 @@ +--- +layout: exercise +title: Exercise 2.16 +permalink: /agents-exercises/ex_16/ +breadcrumb: 2-Intelligent-Agent +canonical_id: ch2ex15 +--- + +{% include mathjax_support %} +
{% include_relative question.md %}
\ No newline at end of file diff --git a/markdown/2-Intelligent-Agent/exercises/ex_16/question.md b/markdown/2-Intelligent-Agent/exercises/ex_16/question.md new file mode 100644 index 0000000000..1e7752e8e5 --- /dev/null +++ b/markdown/2-Intelligent-Agent/exercises/ex_16/question.md @@ -0,0 +1,12 @@ +The vacuum environments in the preceding +exercises have all been deterministic. Discuss possible agent programs +for each of the following stochastic versions:
+ +1. Murphy’s law: twenty-five percent of the time, the Suck action + fails to clean the floor if it is dirty and deposits dirt onto the + floor if the floor is clean. How is your agent program affected if + the dirt sensor gives the wrong answer 10% of the time?
+ +2. Small children: At each time step, each clean square has a 10% + chance of becoming dirty. Can you come up with a rational agent + design for this case? diff --git a/markdown/2-Intelligent-Agent/exercises/ex_2/question.md b/markdown/2-Intelligent-Agent/exercises/ex_2/question.md index 4b769381dc..eea8a5e49c 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_2/question.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_2/question.md @@ -1,8 +1,8 @@ Let us examine the rationality of various vacuum-cleaner agent functions.
1. Show that the simple vacuum-cleaner agent function described in - Figure vacuum-agent-function-table is indeed - rational under the assumptions listed on page vacuum-rationality-page
+ Figure vacuum-agent-function-table is indeed + rational under the assumptions listed on page vacuum-rationality-page
2. Describe a rational agent function for the case in which each movement costs one point. Does the corresponding agent program diff --git a/markdown/2-Intelligent-Agent/exercises/ex_4/question.md b/markdown/2-Intelligent-Agent/exercises/ex_4/question.md index cb96cfbbd2..cdefb96e81 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_4/question.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_4/question.md @@ -28,26 +28,3 @@ appropriate.
8. Every agent is rational in an unobservable environment.
9. A perfectly rational poker-playing agent never loses.
- - -Exercise 2.4 (PEAS-exercise)
- -For each of the following activities, give a PEAS -description of the task environment and characterize it in terms of the -properties listed in Section env-properties-subsection
- -- Playing soccer.
- -- Exploring the subsurface oceans of Titan.
- -- Shopping for used AI books on the Internet.
- -- Playing a tennis match.
- -- Practicing tennis against a wall.
- -- Performing a high jump.
- -- Knitting a sweater.
- -- Bidding on an item at an auction.
diff --git a/markdown/2-Intelligent-Agent/exercises/ex_5/index.md b/markdown/2-Intelligent-Agent/exercises/ex_5/index.md index 39b3186f02..35d40da0ca 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_5/index.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_5/index.md @@ -1,6 +1,6 @@ --- layout: exercise -title: Exercise 2.5 +title: Exercise 2.5 (PEAS-exercise) permalink: /agents-exercises/ex_5/ breadcrumb: 2-Intelligent-Agent canonical_id: ch2ex5 diff --git a/markdown/2-Intelligent-Agent/exercises/ex_5/question.md b/markdown/2-Intelligent-Agent/exercises/ex_5/question.md index 03378b0ee5..4cffc66541 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_5/question.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_5/question.md @@ -1,19 +1,19 @@ - - For each of the following activities, give a PEAS description of the task environment and characterize it in terms of the -properties listed in Section env-properties-subsection
+properties listed in Section env-properties-subsection
-- Performing a gymnastics floor routine.
+- Playing soccer.
- Exploring the subsurface oceans of Titan.
-- Playing soccer.
- - Shopping for used AI books on the Internet.
+- Playing a tennis match.
+ - Practicing tennis against a wall.
- Performing a high jump.
+- Knitting a sweater.
+ - Bidding on an item at an auction.
diff --git a/markdown/2-Intelligent-Agent/exercises/ex_6/index.md b/markdown/2-Intelligent-Agent/exercises/ex_6/index.md index 21ed1c245d..fde3aff5c0 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_6/index.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_6/index.md @@ -3,7 +3,7 @@ layout: exercise title: Exercise 2.6 permalink: /agents-exercises/ex_6/ breadcrumb: 2-Intelligent-Agent -canonical_id: ch2ex6 +canonical_id: ch2ex5 --- {% include mathjax_support %} diff --git a/markdown/2-Intelligent-Agent/exercises/ex_6/question.md b/markdown/2-Intelligent-Agent/exercises/ex_6/question.md index 40b80b97a5..6d7a75426e 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_6/question.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_6/question.md @@ -1,5 +1,19 @@ -Define in your own words the following terms: agent, agent function, -agent program, rationality, autonomy, reflex agent, model-based agent, -goal-based agent, utility-based agent, learning agent. +For each of the following activities, give a PEAS +description of the task environment and characterize it in terms of the +properties listed in Section env-properties-subsection
+ +- Performing a gymnastics floor routine.
+ +- Exploring the subsurface oceans of Titan.
+ +- Playing soccer.
+ +- Shopping for used AI books on the Internet.
+ +- Practicing tennis against a wall.
+ +- Performing a high jump.
+ +- Bidding on an item at an auction.
diff --git a/markdown/2-Intelligent-Agent/exercises/ex_7/index.md b/markdown/2-Intelligent-Agent/exercises/ex_7/index.md index 3acf791079..fd53d02b59 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_7/index.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_7/index.md @@ -3,7 +3,7 @@ layout: exercise title: Exercise 2.7 permalink: /agents-exercises/ex_7/ breadcrumb: 2-Intelligent-Agent -canonical_id: ch2ex7 +canonical_id: ch2ex6 --- {% include mathjax_support %} diff --git a/markdown/2-Intelligent-Agent/exercises/ex_7/question.md b/markdown/2-Intelligent-Agent/exercises/ex_7/question.md index b53c2a729e..40b80b97a5 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_7/question.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_7/question.md @@ -1,19 +1,5 @@ -This exercise explores the differences between -agent functions and agent programs.
- -1. Can there be more than one agent program that implements a given - agent function? Give an example, or show why one is not possible.
- -2. Are there agent functions that cannot be implemented by any agent - program?
- -3. Given a fixed machine architecture, does each agent program - implement exactly one agent function?
- -4. Given an architecture with $n$ bits of storage, how many different - possible agent programs are there?
- -5. Suppose we keep the agent program fixed but speed up the machine by - a factor of two. Does that change the agent function?
+Define in your own words the following terms: agent, agent function, +agent program, rationality, autonomy, reflex agent, model-based agent, +goal-based agent, utility-based agent, learning agent. diff --git a/markdown/2-Intelligent-Agent/exercises/ex_8/index.md b/markdown/2-Intelligent-Agent/exercises/ex_8/index.md index 26398b5198..cc8fd32658 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_8/index.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_8/index.md @@ -3,7 +3,7 @@ layout: exercise title: Exercise 2.8 permalink: /agents-exercises/ex_8/ breadcrumb: 2-Intelligent-Agent -canonical_id: ch2ex8 +canonical_id: ch2ex7 --- {% include mathjax_support %} diff --git a/markdown/2-Intelligent-Agent/exercises/ex_8/question.md b/markdown/2-Intelligent-Agent/exercises/ex_8/question.md index ed6a26d097..b53c2a729e 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_8/question.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_8/question.md @@ -1,4 +1,19 @@ -Write pseudocode agent programs for the goal-based and utility-based -agents. +This exercise explores the differences between +agent functions and agent programs.
+ +1. Can there be more than one agent program that implements a given + agent function? Give an example, or show why one is not possible.
+ +2. Are there agent functions that cannot be implemented by any agent + program?
+ +3. Given a fixed machine architecture, does each agent program + implement exactly one agent function?
+ +4. Given an architecture with $n$ bits of storage, how many different + possible agent programs are there?
+ +5. Suppose we keep the agent program fixed but speed up the machine by + a factor of two. Does that change the agent function?
diff --git a/markdown/2-Intelligent-Agent/exercises/ex_9/index.md b/markdown/2-Intelligent-Agent/exercises/ex_9/index.md index c36bdbfb10..a24160b5d8 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_9/index.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_9/index.md @@ -3,7 +3,7 @@ layout: exercise title: Exercise 2.9 permalink: /agents-exercises/ex_9/ breadcrumb: 2-Intelligent-Agent -canonical_id: ch2ex9 +canonical_id: ch2ex8 --- {% include mathjax_support %} diff --git a/markdown/2-Intelligent-Agent/exercises/ex_9/question.md b/markdown/2-Intelligent-Agent/exercises/ex_9/question.md index b2e1c61323..ed6a26d097 100644 --- a/markdown/2-Intelligent-Agent/exercises/ex_9/question.md +++ b/markdown/2-Intelligent-Agent/exercises/ex_9/question.md @@ -1,7 +1,4 @@ -Consider a simple thermostat that turns on a furnace when the -temperature is at least 3 degrees below the setting, and turns off a -furnace when the temperature is at least 3 degrees above the setting. Is -a thermostat an instance of a simple reflex agent, a model-based reflex -agent, or a goal-based agent? +Write pseudocode agent programs for the goal-based and utility-based +agents. diff --git a/markdown/2-Intelligent-Agent/index.md b/markdown/2-Intelligent-Agent/index.md index 3305a9c587..9400d0c065 100644 --- a/markdown/2-Intelligent-Agent/index.md +++ b/markdown/2-Intelligent-Agent/index.md @@ -196,3 +196,13 @@ and agents for the vacuum-cleaner world.

+
+
+ Exercise 16 + + +
+
+

{% include_relative exercises/ex_16/question.md %}

+
+
\ No newline at end of file diff --git a/markdown/20-Learning-Probabilistic-Models/exercises/ex_1/question.md b/markdown/20-Learning-Probabilistic-Models/exercises/ex_1/question.md index a03c024e3d..83753c5963 100644 --- a/markdown/20-Learning-Probabilistic-Models/exercises/ex_1/question.md +++ b/markdown/20-Learning-Probabilistic-Models/exercises/ex_1/question.md @@ -1,7 +1,7 @@ The data used for -Figure bayes-candy-figure on page bayes-candy-figure can be +Figure bayes-candy-figure on page bayes-candy-figure can be viewed as being generated by $h_5$. For each of the other four hypotheses, generate a data set of length 100 and plot the corresponding graphs for $P(h_i|d_1,\ldots,d_N)$ and diff --git a/markdown/20-Learning-Probabilistic-Models/exercises/ex_11/question.md b/markdown/20-Learning-Probabilistic-Models/exercises/ex_11/question.md index 62993abd2f..089334eaf4 100644 --- a/markdown/20-Learning-Probabilistic-Models/exercises/ex_11/question.md +++ b/markdown/20-Learning-Probabilistic-Models/exercises/ex_11/question.md @@ -1,20 +1,20 @@ Consider the application of EM to learn the parameters for the network -in Figure mixture-networks-figure(a), given the true -parameters in Equation (candy-true-equation). +in Figure mixture-networks-figure(a), given the true +parameters in Equation (candy-true-equation). 1. Explain why the EM algorithm would not work if there were just two attributes in the model rather than three. 2. Show the calculations for the first iteration of EM starting from - Equation (candy-64-equation). + Equation (candy-64-equation). 3. What happens if we start with all the parameters set to the same value $p$? (Hint: you may find it helpful to investigate this empirically before deriving the general result.) 4. Write out an expression for the log likelihood of the tabulated - candy data on page candy-counts-page in terms of the parameters, + candy data on page candy-counts-page in terms of the parameters, calculate the partial derivatives with respect to each parameter, and investigate the nature of the fixed point reached in part (c). diff --git a/markdown/20-Learning-Probabilistic-Models/exercises/ex_2/question.md b/markdown/20-Learning-Probabilistic-Models/exercises/ex_2/question.md index dcf6a67a61..a73bbebe38 100644 --- a/markdown/20-Learning-Probabilistic-Models/exercises/ex_2/question.md +++ b/markdown/20-Learning-Probabilistic-Models/exercises/ex_2/question.md @@ -1,6 +1,6 @@ -Repeat Exercise bayes-candy-exercise, this time +Repeat Exercise bayes-candy-exercise, this time plotting the values of $P(D_{N+1}=lime|h_{MAP})$ and $P(D_{N+1}=lime|h_{ML})$. diff --git a/markdown/20-Learning-Probabilistic-Models/exercises/ex_3/question.md b/markdown/20-Learning-Probabilistic-Models/exercises/ex_3/question.md index 97582ef64b..57ffed296b 100644 --- a/markdown/20-Learning-Probabilistic-Models/exercises/ex_3/question.md +++ b/markdown/20-Learning-Probabilistic-Models/exercises/ex_3/question.md @@ -9,4 +9,4 @@ sufficiently sure of its lime content. On the other hand, if Ann unwraps too many candies in the process, the bag will be worth less. Discuss the problem of determining the optimal point at which to sell the bag. Determine the expected utility of the optimal procedure, given the prior -distribution from Section statistical-learning-section. +distribution from Section statistical-learning-section. diff --git a/markdown/20-Learning-Probabilistic-Models/exercises/ex_5/question.md b/markdown/20-Learning-Probabilistic-Models/exercises/ex_5/question.md index 80a762ab3c..b5f533591f 100644 --- a/markdown/20-Learning-Probabilistic-Models/exercises/ex_5/question.md +++ b/markdown/20-Learning-Probabilistic-Models/exercises/ex_5/question.md @@ -1,6 +1,6 @@ Explain how to apply the boosting method of -Chapter concept-learning-chapter to naive Bayes +Chapter concept-learning-chapter to naive Bayes learning. Test the performance of the resulting algorithm on the restaurant learning problem. diff --git a/markdown/20-Learning-Probabilistic-Models/exercises/ex_6/question.md b/markdown/20-Learning-Probabilistic-Models/exercises/ex_6/question.md index 6f325cf574..0acf312da4 100644 --- a/markdown/20-Learning-Probabilistic-Models/exercises/ex_6/question.md +++ b/markdown/20-Learning-Probabilistic-Models/exercises/ex_6/question.md @@ -3,6 +3,6 @@ Consider $N$ data points $(x_j,y_j)$, where the $y_j$s are generated from the $x_j$s according to the linear Gaussian model in -Equation (linear-gaussian-likelihood-equation). Find +Equation (linear-gaussian-likelihood-equation). Find the values of $\theta_1$, $\theta_2$, and $\sigma$ that maximize the conditional log likelihood of the data. diff --git a/markdown/20-Learning-Probabilistic-Models/exercises/ex_7/question.md b/markdown/20-Learning-Probabilistic-Models/exercises/ex_7/question.md index 9af9b71876..cbf33d2b23 100644 --- a/markdown/20-Learning-Probabilistic-Models/exercises/ex_7/question.md +++ b/markdown/20-Learning-Probabilistic-Models/exercises/ex_7/question.md @@ -1,7 +1,7 @@ Consider the noisy-OR model for fever described -in Section canonical-distribution-section. Explain how +in Section canonical-distribution-section. Explain how to apply maximum-likelihood learning to fit the parameters of such a model to a set of complete data. (Hint: use the chain rule for partial derivatives.) diff --git a/markdown/20-Learning-Probabilistic-Models/exercises/ex_8/question.md b/markdown/20-Learning-Probabilistic-Models/exercises/ex_8/question.md index b6ceb4996b..a2bc5cf383 100644 --- a/markdown/20-Learning-Probabilistic-Models/exercises/ex_8/question.md +++ b/markdown/20-Learning-Probabilistic-Models/exercises/ex_8/question.md @@ -2,7 +2,7 @@ This exercise investigates properties of the Beta distribution defined in -Equation (beta-equation
. +Equation (beta-equation
. 1. By integrating over the range $[0,1]$, show that the normalization constant for the distribution ${{\rm beta}}[a,b]$ is given by diff --git a/markdown/21-Reinforcement-Learning/exercises/ex_10/question.md b/markdown/21-Reinforcement-Learning/exercises/ex_10/question.md index e16035a2ea..c835a9ced5 100644 --- a/markdown/21-Reinforcement-Learning/exercises/ex_10/question.md +++ b/markdown/21-Reinforcement-Learning/exercises/ex_10/question.md @@ -2,7 +2,7 @@ Compute the true utility function and the best linear approximation in $x$ and $y$ (as in -Equation (4x3-linear-approx-equation)) for the +Equation (4x3-linear-approx-equation)) for the following environments:
1. A ${10}\times {10}$ world with a single $+1$ terminal state diff --git a/markdown/21-Reinforcement-Learning/exercises/ex_2/question.md b/markdown/21-Reinforcement-Learning/exercises/ex_2/question.md index 9c5e08218b..af5526d0d7 100644 --- a/markdown/21-Reinforcement-Learning/exercises/ex_2/question.md +++ b/markdown/21-Reinforcement-Learning/exercises/ex_2/question.md @@ -1,6 +1,6 @@ -Chapter complex-decisions-chapter defined a +Chapter complex-decisions-chapter defined a proper policy for an MDP as one that is guaranteed to reach a terminal state. Show that it is possible for a passive ADP agent to learn a transition model for which its policy $\pi$ diff --git a/markdown/21-Reinforcement-Learning/exercises/ex_4/question.md b/markdown/21-Reinforcement-Learning/exercises/ex_4/question.md index 428849b5ff..d7dfa3a4eb 100644 --- a/markdown/21-Reinforcement-Learning/exercises/ex_4/question.md +++ b/markdown/21-Reinforcement-Learning/exercises/ex_4/question.md @@ -1,6 +1,6 @@ The direct utility estimation method in -Section passive-rl-section uses distinguished terminal +Section passive-rl-section uses distinguished terminal states to indicate the end of a trial. How could it be modified for environments with discounted rewards and no terminal states? diff --git a/markdown/21-Reinforcement-Learning/exercises/ex_6/question.md b/markdown/21-Reinforcement-Learning/exercises/ex_6/question.md index e0c21d11f1..2e2f9b321c 100644 --- a/markdown/21-Reinforcement-Learning/exercises/ex_6/question.md +++ b/markdown/21-Reinforcement-Learning/exercises/ex_6/question.md @@ -1,6 +1,6 @@ -Adapt the vacuum world (Chapter agents-chapter for +Adapt the vacuum world (Chapter agents-chapter for reinforcement learning by including rewards for squares being clean. Make the world observable by providing suitable percepts. Now experiment with different reinforcement learning agents. Is function approximation diff --git a/markdown/21-Reinforcement-Learning/exercises/ex_7/question.md b/markdown/21-Reinforcement-Learning/exercises/ex_7/question.md index 2e4b9d2f82..3a446a1ebd 100644 --- a/markdown/21-Reinforcement-Learning/exercises/ex_7/question.md +++ b/markdown/21-Reinforcement-Learning/exercises/ex_7/question.md @@ -1,7 +1,7 @@ Implement an exploring reinforcement learning agent that uses direct utility estimation. Make two versions—one with a tabular representation and one using the function approximator in -Equation (4x3-linear-approx-equation). Compare their +Equation (4x3-linear-approx-equation). Compare their performance in three environments:
1. The $4\times 3$ world described in the chapter.
diff --git a/markdown/21-Reinforcement-Learning/exercises/ex_9/question.md b/markdown/21-Reinforcement-Learning/exercises/ex_9/question.md index da9c4a3f00..ab5f549b66 100644 --- a/markdown/21-Reinforcement-Learning/exercises/ex_9/question.md +++ b/markdown/21-Reinforcement-Learning/exercises/ex_9/question.md @@ -1,10 +1,10 @@ Extend the standard game-playing environment -(Chapter game-playing-chapter) to incorporate a reward +(Chapter game-playing-chapter) to incorporate a reward signal. Put two reinforcement learning agents into the environment (they may, of course, share the agent program) and have them play against each other. Apply the generalized TD update rule -(Equation (generalized-td-equation)) to update the +(Equation (generalized-td-equation)) to update the evaluation function. You might wish to start with a simple linear weighted evaluation function and a simple game, such as tic-tac-toe. diff --git a/markdown/22-Natural-Language-Processing/exercises/ex_5/question.md b/markdown/22-Natural-Language-Processing/exercises/ex_5/question.md index f5e4f1f3fc..cbdf2bf070 100644 --- a/markdown/22-Natural-Language-Processing/exercises/ex_5/question.md +++ b/markdown/22-Natural-Language-Processing/exercises/ex_5/question.md @@ -1,6 +1,6 @@ -(Adapted from @Jurafsky+Martin:2000.) In this exercise you will develop a classifier for +(Adapted from Jurafsky+Martin:2000.) In this exercise you will develop a classifier for authorship: given a text, the classifier predicts which of two candidate authors wrote the text. Obtain samples of text from two different authors. Separate them into training and test sets. Now train a language @@ -11,6 +11,6 @@ probability of the text under each language model and chose the most probable model. Assess the accuracy of this technique. How does accuracy change as you alter the set of features? This subfield of linguistics is called stylometry; its successes include the identification of the author of the -disputed Federalist Papers @Mosteller+Wallace:1964 and -some disputed works of Shakespeare @Hope:1994. @Khmelev+Tweedie:2001 produce good results with +disputed Federalist Papers Mosteller+Wallace:1964 and +some disputed works of Shakespeare Hope:1994. Khmelev+Tweedie:2001 produce good results with a simple letter bigram model. diff --git a/markdown/23-Natural-Language-For-Communication/exercises/ex_17/question.md b/markdown/23-Natural-Language-For-Communication/exercises/ex_17/question.md index 424fb38fa6..ee08e69bdc 100644 --- a/markdown/23-Natural-Language-For-Communication/exercises/ex_17/question.md +++ b/markdown/23-Natural-Language-For-Communication/exercises/ex_17/question.md @@ -1,7 +1,7 @@ Without looking back at -Exercise washing-clothes-exercise, answer the following +Exercise washing-clothes-exercise, answer the following questions:
1. What are the four steps that are mentioned?
diff --git a/markdown/23-Natural-Language-For-Communication/exercises/ex_19/question.md b/markdown/23-Natural-Language-For-Communication/exercises/ex_19/question.md index 4a09fc630b..4b6a808bc6 100644 --- a/markdown/23-Natural-Language-For-Communication/exercises/ex_19/question.md +++ b/markdown/23-Natural-Language-For-Communication/exercises/ex_19/question.md @@ -1,5 +1,5 @@ The $D_i$ values for the sentence in -Figure mt-alignment-figure sum to 0. Will that be true +Figure mt-alignment-figure sum to 0. Will that be true of every translation pair? Prove it or give a counterexample. diff --git a/markdown/23-Natural-Language-For-Communication/exercises/ex_20/question.md b/markdown/23-Natural-Language-For-Communication/exercises/ex_20/question.md index 28a68d7195..98459bf608 100644 --- a/markdown/23-Natural-Language-For-Communication/exercises/ex_20/question.md +++ b/markdown/23-Natural-Language-For-Communication/exercises/ex_20/question.md @@ -1,6 +1,6 @@ -(Adapted from [@Knight:1999].) Our translation model assumes that, after the phrase +(Adapted from [Knight:1999].) Our translation model assumes that, after the phrase translation model selects phrases and the distortion model permutes them, the language model can unscramble the permutation. This exercise investigates how sensible that assumption is. Try to unscramble these diff --git a/markdown/23-Natural-Language-For-Communication/exercises/ex_21/question.md b/markdown/23-Natural-Language-For-Communication/exercises/ex_21/question.md index 6ce2a94358..1a364e42be 100644 --- a/markdown/23-Natural-Language-For-Communication/exercises/ex_21/question.md +++ b/markdown/23-Natural-Language-For-Communication/exercises/ex_21/question.md @@ -1,5 +1,5 @@ Calculate the most probable path through the HMM in -Figure sr-hmm-figure for the output sequence +Figure sr-hmm-figure for the output sequence $[C_1,C_2,C_3,C_4,C_4,C_6,C_7]$. Also give its probability. diff --git a/markdown/23-Natural-Language-For-Communication/exercises/ex_22/question.md b/markdown/23-Natural-Language-For-Communication/exercises/ex_22/question.md index 98c220e718..1e5e21a4af 100644 --- a/markdown/23-Natural-Language-For-Communication/exercises/ex_22/question.md +++ b/markdown/23-Natural-Language-For-Communication/exercises/ex_22/question.md @@ -1,10 +1,10 @@ We forgot to mention that the text in -Exercise washing-clothes-exercise is entitled “Washing +Exercise washing-clothes-exercise is entitled “Washing Clothes.” Reread the text and answer the questions in -Exercise washing-clothes2-exercise. Did you do better -this time? Bransford and Johnson [@Bransford+Johnson:1973] used this +Exercise washing-clothes2-exercise. Did you do better +this time? Bransford and Johnson [Bransford+Johnson:1973] used this text in a controlled experiment and found that the title helped significantly. What does this tell you about how language and memory works? diff --git a/markdown/24-Perception/exercises/ex_4/question.md b/markdown/24-Perception/exercises/ex_4/question.md index a146de75b8..c98aac9817 100644 --- a/markdown/24-Perception/exercises/ex_4/question.md +++ b/markdown/24-Perception/exercises/ex_4/question.md @@ -1,8 +1,8 @@ Edges in an image can correspond to a variety of events in a scene. -Consider Figure illuminationfigure -(page illuminationfigure, and assume that it is a picture of a real +Consider Figure illuminationfigure +(page illuminationfigure, and assume that it is a picture of a real three-dimensional scene. Identify ten different brightness edges in the image, and for each, state whether it corresponds to a discontinuity in (a) depth, (b) surface orientation, (c) reflectance, or (d) diff --git a/markdown/24-Perception/exercises/ex_8/question.md b/markdown/24-Perception/exercises/ex_8/question.md index c5c1de2a6a..3c2b954c47 100644 --- a/markdown/24-Perception/exercises/ex_8/question.md +++ b/markdown/24-Perception/exercises/ex_8/question.md @@ -1,6 +1,6 @@ -(Courtesy of Pietro Perona.) Figure bottle-figure shows +(Courtesy of Pietro Perona.) Figure bottle-figure shows two cameras at X and Y observing a scene. Draw the image seen at each camera, assuming that all named points are in the same horizontal plane. What can be concluded from these two images about the relative distances diff --git a/markdown/25-Robotics/exercises/ex_10/question.md b/markdown/25-Robotics/exercises/ex_10/question.md index fd46cb0de2..d364700b61 100644 --- a/markdown/25-Robotics/exercises/ex_10/question.md +++ b/markdown/25-Robotics/exercises/ex_10/question.md @@ -1,12 +1,12 @@ Consider the simplified robot shown in -Figure FigEx3. Suppose the robot’s Cartesian +Figure FigEx3. Suppose the robot’s Cartesian coordinates are known at all times, as are those of its goal location. However, the locations of the obstacles are unknown. The robot can sense obstacles in its immediate proximity, as illustrated in this figure. For simplicity, let us assume the robot’s motion is noise-free, and the -state space is discrete. Figure FigEx3 is only one +state space is discrete. Figure FigEx3 is only one example; in this exercise you are required to address all possible grid worlds with a valid path from the start to the goal location.
diff --git a/markdown/25-Robotics/exercises/ex_11/question.md b/markdown/25-Robotics/exercises/ex_11/question.md index afdecbdb62..6dc078755c 100644 --- a/markdown/25-Robotics/exercises/ex_11/question.md +++ b/markdown/25-Robotics/exercises/ex_11/question.md @@ -1,7 +1,7 @@ -In Figure Fig5(b) on -page Fig5, we encountered an augmented finite state machine for +In Figure Fig5(b) on +page Fig5, we encountered an augmented finite state machine for the control of a single leg of a hexapod robot. In this exercise, the aim is to design an AFSM that, when combined with six copies of the individual leg controllers, results in efficient, stable locomotion. For diff --git a/markdown/25-Robotics/exercises/ex_4/question.md b/markdown/25-Robotics/exercises/ex_4/question.md index 5217f4648d..01650927b3 100644 --- a/markdown/25-Robotics/exercises/ex_4/question.md +++ b/markdown/25-Robotics/exercises/ex_4/question.md @@ -1,9 +1,9 @@ Suppose that you are working with the robot in -Exercise AB-manipulator-ex and you are given the +Exercise AB-manipulator-ex and you are given the problem of finding a path from the starting configuration of -figure figRobot2 to the ending configuration. Consider a potential +figure figRobot2 to the ending configuration. Consider a potential function $$D(A, {Goal})^2 + D(B, {Goal})^2 + \frac{1}{D(A, B)^2}$$ where $D(A,B)$ is the distance between the closest points of A and B.
diff --git a/markdown/25-Robotics/exercises/ex_5/question.md b/markdown/25-Robotics/exercises/ex_5/question.md index 594a63f8db..fbbd11793d 100644 --- a/markdown/25-Robotics/exercises/ex_5/question.md +++ b/markdown/25-Robotics/exercises/ex_5/question.md @@ -1,9 +1,9 @@ Consider the robot arm shown in -Figure FigArm1. Assume that the robot’s base element is +Figure FigArm1. Assume that the robot’s base element is 60cm long and that its upper arm and forearm are each 40cm long. As -argued on page inverse-kinematics-not-unique, the inverse kinematics of a robot is often +argued on page inverse-kinematics-not-unique, the inverse kinematics of a robot is often not unique. State an explicit closed-form solution of the inverse kinematics for this arm. Under what exact conditions is the solution unique? diff --git a/markdown/25-Robotics/exercises/ex_6/question.md b/markdown/25-Robotics/exercises/ex_6/question.md index baa9f71d43..a6f6ac97bf 100644 --- a/markdown/25-Robotics/exercises/ex_6/question.md +++ b/markdown/25-Robotics/exercises/ex_6/question.md @@ -1,9 +1,9 @@ Consider the robot arm shown in -Figure FigArm1. Assume that the robot’s base element is +Figure FigArm1. Assume that the robot’s base element is 70cm long and that its upper arm and forearm are each 50cm long. As -argued on page inverse-kinematics-not-unique, the inverse kinematics of a robot is often +argued on page inverse-kinematics-not-unique, the inverse kinematics of a robot is often not unique. State an explicit closed-form solution of the inverse kinematics for this arm. Under what exact conditions is the solution unique? diff --git a/markdown/25-Robotics/exercises/ex_8/question.md b/markdown/25-Robotics/exercises/ex_8/question.md index 6ec3fef17b..69e0e993a1 100644 --- a/markdown/25-Robotics/exercises/ex_8/question.md +++ b/markdown/25-Robotics/exercises/ex_8/question.md @@ -2,19 +2,19 @@ This exercise explores the relationship between workspace and configuration space using the examples shown in -Figure FigEx2. +Figure FigEx2. 1. Consider the robot configurations shown in - Figure FigEx2(a) through (c), ignoring the obstacle + Figure FigEx2(a) through (c), ignoring the obstacle shown in each of the diagrams. Draw the corresponding arm configurations in configuration space. (Hint: Each arm configuration maps to a single point in configuration space, as - illustrated in Figure FigArm1(b).)
+ illustrated in Figure FigArm1(b).)
2. Draw the configuration space for each of the workspace diagrams in - Figure FigEx2(a)–(c). (Hint: The + Figure FigEx2(a)–(c). (Hint: The configuration spaces share with the one shown in - Figure FigEx2(a) the region that corresponds to + Figure FigEx2(a) the region that corresponds to self-collision, but differences arise from the lack of enclosing obstacles and the different locations of the obstacles in these individual figures.)
@@ -24,13 +24,13 @@ Figure FigEx2. Please ignore the shaded regions in this exercise.
4. The configuration spaces shown in - Figure FigEx2(e)–(f) have all been generated by a + Figure FigEx2(e)–(f) have all been generated by a single workspace obstacle (dark shading), plus the constraints arising from the self-collision constraint (light shading). Draw, for each diagram, the workspace obstacle that corresponds to the darkly shaded area.
-5. Figure FigEx2(d) illustrates that a single planar +5. Figure FigEx2(d) illustrates that a single planar obstacle can decompose the workspace into two disconnected regions. What is the maximum number of disconnected regions that can be created by inserting a planar obstacle into an obstacle-free, diff --git a/markdown/26-Philosophical-Foundations/exercises/ex_7/question.md b/markdown/26-Philosophical-Foundations/exercises/ex_7/question.md index fa6f3225ff..77a08032bb 100644 --- a/markdown/26-Philosophical-Foundations/exercises/ex_7/question.md +++ b/markdown/26-Philosophical-Foundations/exercises/ex_7/question.md @@ -1,6 +1,6 @@ -Alan Perlis [@Perlis:1982] wrote, “A year spent in artificial +Alan Perlis [Perlis:1982] wrote, “A year spent in artificial intelligence is enough to make one believe in God”. He also wrote, in a letter to Philip Davis, that one of the central dreams of computer science is that “through the performance of computers and their programs diff --git a/markdown/3-Solving-Problems-By-Searching/exercises/ex_10/question.md b/markdown/3-Solving-Problems-By-Searching/exercises/ex_10/question.md index b84bf9e8cb..1a1f50acee 100644 --- a/markdown/3-Solving-Problems-By-Searching/exercises/ex_10/question.md +++ b/markdown/3-Solving-Problems-By-Searching/exercises/ex_10/question.md @@ -1,6 +1,6 @@ -On page non-negative-g, we said that we would not consider problems +On page non-negative-g, we said that we would not consider problems with negative path costs. In this exercise, we explore this decision in more depth.
diff --git a/markdown/3-Solving-Problems-By-Searching/exercises/ex_11/question.md b/markdown/3-Solving-Problems-By-Searching/exercises/ex_11/question.md index b5c794d4e5..60c2cd8a46 100644 --- a/markdown/3-Solving-Problems-By-Searching/exercises/ex_11/question.md +++ b/markdown/3-Solving-Problems-By-Searching/exercises/ex_11/question.md @@ -6,7 +6,7 @@ a boat that can hold one or two people. Find a way to get everyone to the other side without ever leaving a group of missionaries in one place outnumbered by the cannibals in that place. This problem is famous in AI because it was the subject of the first paper that approached problem -formulation from an analytical viewpoint @Amarel:1968.
+formulation from an analytical viewpoint Amarel:1968.
1. Formulate the problem precisely, making only those distinctions necessary to ensure a valid solution. Draw a diagram of the complete diff --git a/markdown/3-Solving-Problems-By-Searching/exercises/ex_21/question.md b/markdown/3-Solving-Problems-By-Searching/exercises/ex_21/question.md index 8f5250e317..62289c67ed 100644 --- a/markdown/3-Solving-Problems-By-Searching/exercises/ex_21/question.md +++ b/markdown/3-Solving-Problems-By-Searching/exercises/ex_21/question.md @@ -1,6 +1,6 @@ -On page iterative-lengthening-page, +On page iterative-lengthening-page, we mentioned iterative lengthening search, an iterative analog of uniform cost search. The idea is to use increasing limits on path cost. If a node is generated whose path cost exceeds the current diff --git a/markdown/3-Solving-Problems-By-Searching/exercises/ex_31/question.md b/markdown/3-Solving-Problems-By-Searching/exercises/ex_31/question.md index abb3a191b7..90809ae696 100644 --- a/markdown/3-Solving-Problems-By-Searching/exercises/ex_31/question.md +++ b/markdown/3-Solving-Problems-By-Searching/exercises/ex_31/question.md @@ -1,6 +1,6 @@ -The heuristic path algorithm @Pohl:1977 is a best-first search in which the evaluation function +The heuristic path algorithm Pohl:1977 is a best-first search in which the evaluation function is $f(n) = (2-w)g(n) + wh(n)$. For what values of $w$ is this complete? For what values is it optimal, assuming that $h$ is admissible? What kind of diff --git a/markdown/3-Solving-Problems-By-Searching/exercises/ex_35/question.md b/markdown/3-Solving-Problems-By-Searching/exercises/ex_35/question.md index 3fcce0b916..e190c89bbe 100644 --- a/markdown/3-Solving-Problems-By-Searching/exercises/ex_35/question.md +++ b/markdown/3-Solving-Problems-By-Searching/exercises/ex_35/question.md @@ -1,5 +1,5 @@ -We saw on page I-to-F that the straight-line distance heuristic leads greedy +We saw on page I-to-F that the straight-line distance heuristic leads greedy best-first search astray on the problem of going from Iasi to Fagaras. However, the heuristic is perfect on the opposite problem: going from Fagaras to Iasi. Are there problems for which the heuristic is diff --git a/markdown/3-Solving-Problems-By-Searching/exercises/ex_37/question.md b/markdown/3-Solving-Problems-By-Searching/exercises/ex_37/question.md index 65db2a6cc8..29493a653b 100644 --- a/markdown/3-Solving-Problems-By-Searching/exercises/ex_37/question.md +++ b/markdown/3-Solving-Problems-By-Searching/exercises/ex_37/question.md @@ -1,3 +1,3 @@ -consistent-heuristic-exercise Prove that if a heuristic is +Prove that if a heuristic is consistent, it must be admissible. Construct an admissible heuristic that is not consistent. diff --git a/markdown/3-Solving-Problems-By-Searching/exercises/ex_38/question.md b/markdown/3-Solving-Problems-By-Searching/exercises/ex_38/question.md index adc9ce7f9d..9aa246b2aa 100644 --- a/markdown/3-Solving-Problems-By-Searching/exercises/ex_38/question.md +++ b/markdown/3-Solving-Problems-By-Searching/exercises/ex_38/question.md @@ -1,6 +1,4 @@ - - -tsp-mst-exerciseThe traveling salesperson problem (TSP) can be +The traveling salesperson problem (TSP) can be solved with the minimum-spanning-tree (MST) heuristic, which estimates the cost of completing a tour, given that a partial tour has already been constructed. The MST cost of a set of cities is the smallest sum of diff --git a/markdown/3-Solving-Problems-By-Searching/exercises/ex_39/question.md b/markdown/3-Solving-Problems-By-Searching/exercises/ex_39/question.md index ff98ab52bd..2143b9d8ef 100644 --- a/markdown/3-Solving-Problems-By-Searching/exercises/ex_39/question.md +++ b/markdown/3-Solving-Problems-By-Searching/exercises/ex_39/question.md @@ -1,8 +1,8 @@ -On page Gaschnig-h-page , we defined the relaxation of the 8-puzzle in +On page Gaschnig-h-page , we defined the relaxation of the 8-puzzle in which a tile can move from square A to square B if B is blank. The exact -solution of this problem defines Gaschnig's heuristic @Gaschnig:1979. Explain why Gaschnig’s +solution of this problem defines Gaschnig's heuristic Gaschnig:1979. Explain why Gaschnig’s heuristic is at least as accurate as $h_1$ (misplaced tiles), and show cases where it is more accurate than both $h_1$ and $h_2$ (Manhattan distance). Explain how to calculate Gaschnig’s heuristic efficiently. diff --git a/markdown/3-Solving-Problems-By-Searching/exercises/ex_40/question.md b/markdown/3-Solving-Problems-By-Searching/exercises/ex_40/question.md index 272ded1b6c..b20a8d53f6 100644 --- a/markdown/3-Solving-Problems-By-Searching/exercises/ex_40/question.md +++ b/markdown/3-Solving-Problems-By-Searching/exercises/ex_40/question.md @@ -2,7 +2,7 @@ We gave two simple heuristics for the 8-puzzle: Manhattan distance and misplaced tiles. Several heuristics in the literature purport to improve -on this—see, for example, @Nilsson:1971, -@Mostow+Prieditis:1989, and @Hansson+al:1992. Test these claims by implementing +on this—see, for example, Nilsson:1971, +Mostow+Prieditis:1989, and Hansson+al:1992. Test these claims by implementing the heuristics and comparing the performance of the resulting algorithms. diff --git a/markdown/3-Solving-Problems-By-Searching/exercises/ex_6/question.md b/markdown/3-Solving-Problems-By-Searching/exercises/ex_6/question.md index 3f8b383645..b75defcb00 100644 --- a/markdown/3-Solving-Problems-By-Searching/exercises/ex_6/question.md +++ b/markdown/3-Solving-Problems-By-Searching/exercises/ex_6/question.md @@ -3,6 +3,6 @@ Show that the 8-puzzle states are divided into two disjoint sets, such that any state is reachable from any other state in the same set, while no state is reachable from any state in the -other set. (Hint: See @Berlekamp+al:1982.) Devise a procedure to decide +other set. (Hint: See Berlekamp+al:1982) Devise a procedure to decide which set a given state is in, and explain why this is useful for generating random states. diff --git a/markdown/3-Solving-Problems-By-Searching/exercises/ex_7/question.md b/markdown/3-Solving-Problems-By-Searching/exercises/ex_7/question.md index 4834f4b2d1..194df6d87a 100644 --- a/markdown/3-Solving-Problems-By-Searching/exercises/ex_7/question.md +++ b/markdown/3-Solving-Problems-By-Searching/exercises/ex_7/question.md @@ -1,7 +1,7 @@ Consider the $n$-queens problem using the -“efficient” incremental formulation given on page nqueens-page. Explain why the state +“efficient” incremental formulation given on page nqueens-page. Explain why the state space has at least $\sqrt[3]{n!}$ states and estimate the largest $n$ for which exhaustive exploration is feasible. (Hint: Derive a lower bound on the branching factor by considering the maximum diff --git a/markdown/3-Solving-Problems-By-Searching/index.md b/markdown/3-Solving-Problems-By-Searching/index.md index f16824d83d..c241529058 100644 --- a/markdown/3-Solving-Problems-By-Searching/index.md +++ b/markdown/3-Solving-Problems-By-Searching/index.md @@ -453,7 +453,7 @@ permalink: /search-exercises/
@@ -465,7 +465,7 @@ permalink: /search-exercises/
diff --git a/markdown/4-Beyond-Classical-Search/exercises/ex_12/question.md b/markdown/4-Beyond-Classical-Search/exercises/ex_12/question.md index 938fae121a..de6337898d 100644 --- a/markdown/4-Beyond-Classical-Search/exercises/ex_12/question.md +++ b/markdown/4-Beyond-Classical-Search/exercises/ex_12/question.md @@ -1,7 +1,7 @@ We can turn the navigation problem in -Exercise path-planning-exercis into an environment as +Exercise path-planning-exercise into an environment as follows:
- The percept will be a list of the positions, *relative to the diff --git a/markdown/4-Beyond-Classical-Search/exercises/ex_13/question.md b/markdown/4-Beyond-Classical-Search/exercises/ex_13/question.md index 958d8125fe..1cd55f8a00 100644 --- a/markdown/4-Beyond-Classical-Search/exercises/ex_13/question.md +++ b/markdown/4-Beyond-Classical-Search/exercises/ex_13/question.md @@ -2,7 +2,7 @@ Suppose that an agent is in a $3 \times 3$ maze environment like the one shown in -Figure maze-3x3-figure. The agent knows that its +Figure maze-3x3-figure. The agent knows that its initial location is (1,1), that the goal is at (3,3), and that the actions *Up*, *Down*, *Left*, *Right* have their usual effects unless blocked by a wall. The agent does *not* know diff --git a/markdown/4-Beyond-Classical-Search/exercises/ex_14/question.md b/markdown/4-Beyond-Classical-Search/exercises/ex_14/question.md index 96d946cea6..c20e9e423d 100644 --- a/markdown/4-Beyond-Classical-Search/exercises/ex_14/question.md +++ b/markdown/4-Beyond-Classical-Search/exercises/ex_14/question.md @@ -2,7 +2,7 @@ Suppose that an agent is in a $3 \times 3$ maze environment like the one shown in -Figure maze-3x3-figure. The agent knows that its +Figure maze-3x3-figure. The agent knows that its initial location is (3,3), that the goal is at (1,1), and that the four actions *Up*, *Down*, *Left*, *Right* have their usual effects unless blocked by a wall. The agent does *not* know diff --git a/markdown/4-Beyond-Classical-Search/exercises/ex_15/question.md b/markdown/4-Beyond-Classical-Search/exercises/ex_15/question.md index 335bad7e78..33e15af990 100644 --- a/markdown/4-Beyond-Classical-Search/exercises/ex_15/question.md +++ b/markdown/4-Beyond-Classical-Search/exercises/ex_15/question.md @@ -2,9 +2,9 @@ In this exercise, we examine hill climbing in the context of robot navigation, using the environment in -Figure geometric-scene-figure as an example.
+Figure geometric-scene-figure as an example.
-1. Repeat Exercise path-planning-agent-exercise using +1. Repeat Exercise path-planning-agent-exercise using hill climbing. Does your agent ever get stuck in a local minimum? Is it *possible* for it to get stuck with convex obstacles?
diff --git a/markdown/4-Beyond-Classical-Search/exercises/ex_2/question.md b/markdown/4-Beyond-Classical-Search/exercises/ex_2/question.md index 17086c0c44..fd8d919062 100644 --- a/markdown/4-Beyond-Classical-Search/exercises/ex_2/question.md +++ b/markdown/4-Beyond-Classical-Search/exercises/ex_2/question.md @@ -1,6 +1,6 @@ -Exercise brio-exercise considers the problem of +Exercise brio-exercise considers the problem of building railway tracks under the assumption that pieces fit exactly with no slack. Now consider the real problem, in which pieces don’t fit exactly but allow for up to 10 degrees of rotation to either side of the diff --git a/markdown/4-Beyond-Classical-Search/exercises/ex_3/question.md b/markdown/4-Beyond-Classical-Search/exercises/ex_3/question.md index 78bd76b93f..007ffbb0db 100644 --- a/markdown/4-Beyond-Classical-Search/exercises/ex_3/question.md +++ b/markdown/4-Beyond-Classical-Search/exercises/ex_3/question.md @@ -1,11 +1,11 @@ In this exercise, we explore the use of local search methods to solve -TSPs of the type defined in Exercise tsp-mst-exercise
+TSPs of the type defined in Exercise tsp-mst-exercise
1. Implement and test a hill-climbing method to solve TSPs. Compare the results with optimal solutions obtained from the A* algorithm with - the MST heuristic (Exercise tsp-mst-exercise)
+ the MST heuristic (Exercise tsp-mst-exercise)
2. Repeat part (a) using a genetic algorithm instead of hill climbing. You may want to consult @Larranaga+al:1999 for some suggestions for representations. diff --git a/markdown/4-Beyond-Classical-Search/exercises/ex_5/question.md b/markdown/4-Beyond-Classical-Search/exercises/ex_5/question.md index 6985a75440..7682a672a6 100644 --- a/markdown/4-Beyond-Classical-Search/exercises/ex_5/question.md +++ b/markdown/4-Beyond-Classical-Search/exercises/ex_5/question.md @@ -1,15 +1,15 @@ The **And-Or-Graph-Search** algorithm in -Figure and-or-graph-search-algorithm checks for +Figure and-or-graph-search-algorithm checks for repeated states only on the path from the root to the current state. Suppose that, in addition, the algorithm were to store *every* visited state and check against that list. (See in -Figure breadth-first-search-algorithm for an example.) +Figure breadth-first-search-algorithm for an example.) Determine the information that should be stored and how the algorithm should use that information when a repeated state is found. (*Hint*: You will need to distinguish at least between states for which a successful subplan was constructed previously and states for which no subplan could be found.) Explain how to use labels, -as defined in Section cyclic-plan-section, to avoid +as defined in Section cyclic-plan-section, to avoid having multiple copies of subplans. diff --git a/markdown/4-Beyond-Classical-Search/exercises/ex_7/question.md b/markdown/4-Beyond-Classical-Search/exercises/ex_7/question.md index 7a1462e243..467508b0e0 100644 --- a/markdown/4-Beyond-Classical-Search/exercises/ex_7/question.md +++ b/markdown/4-Beyond-Classical-Search/exercises/ex_7/question.md @@ -1,6 +1,4 @@ - - -In Section conformant-section we introduced belief +In Section conformant-section we introduced belief states to solve sensorless search problems. A sequence of actions solves a sensorless problem if it maps every physical state in the initial belief state $b$ to a goal state. Suppose the agent knows $h^\*(s)$, the @@ -9,4 +7,4 @@ observable problem, for every state $s$ in $b$. Find an admissible heuristic $h(b)$ for the sensorless problem in terms of these costs, and prove its admissibilty. Comment on the accuracy of this heuristic on the sensorless vacuum problem of -Figure vacuum2-sets-figure. How well does A* perform? +Figure vacuum2-sets-figure. How well does A* perform? diff --git a/markdown/4-Beyond-Classical-Search/exercises/ex_9/question.md b/markdown/4-Beyond-Classical-Search/exercises/ex_9/question.md index 83885f7db4..53af6ded44 100644 --- a/markdown/4-Beyond-Classical-Search/exercises/ex_9/question.md +++ b/markdown/4-Beyond-Classical-Search/exercises/ex_9/question.md @@ -1,5 +1,5 @@ -On page multivalued-sensorless-page it was assumed +On page multivalued-sensorless-page it was assumed that a given action would have the same cost when executed in any physical state within a given belief state. (This leads to a belief-state search problem with well-defined step costs.) Now consider diff --git a/markdown/4-Beyond-Classical-Search/index.md b/markdown/4-Beyond-Classical-Search/index.md index 7824af7058..7a6283b45c 100644 --- a/markdown/4-Beyond-Classical-Search/index.md +++ b/markdown/4-Beyond-Classical-Search/index.md @@ -153,7 +153,7 @@ permalink: /advanced-search-exercises/
@@ -166,7 +166,7 @@ permalink: /advanced-search-exercises/
diff --git a/markdown/5-Adversarial-Search/exercises/ex_11/question.md b/markdown/5-Adversarial-Search/exercises/ex_11/question.md index 9068fbf239..52358d9d9a 100644 --- a/markdown/5-Adversarial-Search/exercises/ex_11/question.md +++ b/markdown/5-Adversarial-Search/exercises/ex_11/question.md @@ -13,6 +13,6 @@ games.
effective branching factor come to the ideal case of perfect move ordering?
-4. Implement a selective search algorithm, such as B\* @Berliner:1979, +4. Implement a selective search algorithm, such as B\* Berliner:1979, conspiracy number search @McAllester:1988, or MGSS\* - @Russell+Wefald:1989 and compare its performance to A\*. + Russell+Wefald:1989 and compare its performance to A\*. diff --git a/markdown/5-Adversarial-Search/exercises/ex_14/question.md b/markdown/5-Adversarial-Search/exercises/ex_14/question.md index 9143befb7d..f11227a1e5 100644 --- a/markdown/5-Adversarial-Search/exercises/ex_14/question.md +++ b/markdown/5-Adversarial-Search/exercises/ex_14/question.md @@ -1,6 +1,6 @@ Develop a formal proof of correctness for alpha–beta pruning. To do this, consider the situation shown in -Figure alpha-beta-proof-figure. The question is whether +Figure alpha-beta-proof-figure. The question is whether to prune node $n_j$, which is a max-node and a descendant of node $n_1$. The basic idea is to prune it if and only if the minimax value of $n_1$ can be shown to be independent of the value of $n_j$.
diff --git a/markdown/5-Adversarial-Search/exercises/ex_18/question.md b/markdown/5-Adversarial-Search/exercises/ex_18/question.md index 58dc9bd973..97fc6ffe46 100644 --- a/markdown/5-Adversarial-Search/exercises/ex_18/question.md +++ b/markdown/5-Adversarial-Search/exercises/ex_18/question.md @@ -1,7 +1,7 @@ This question considers pruning in games with chance nodes. -Figure trivial-chance-game-figure shows the complete +Figure trivial-chance-game-figure shows the complete game tree for a trivial game. Assume that the leaf nodes are to be evaluated in left-to-right order, and that before a leaf node is evaluated, we know nothing about its value—the range of possible values diff --git a/markdown/5-Adversarial-Search/exercises/ex_19/question.md b/markdown/5-Adversarial-Search/exercises/ex_19/question.md index edb20aa537..98f44e7c7a 100644 --- a/markdown/5-Adversarial-Search/exercises/ex_19/question.md +++ b/markdown/5-Adversarial-Search/exercises/ex_19/question.md @@ -1,6 +1,6 @@ Implement the expectiminimax algorithm and the \*-alpha–beta algorithm, -which is described by @Ballard:1983, for pruning game trees with chance nodes. Try +which is described by Ballard:1983, for pruning game trees with chance nodes. Try them on a game such as backgammon and measure the pruning effectiveness of \*-alpha–beta. diff --git a/markdown/5-Adversarial-Search/exercises/ex_2/question.md b/markdown/5-Adversarial-Search/exercises/ex_2/question.md index edb9be65d0..1cf1faddad 100644 --- a/markdown/5-Adversarial-Search/exercises/ex_2/question.md +++ b/markdown/5-Adversarial-Search/exercises/ex_2/question.md @@ -3,7 +3,7 @@ Consider the problem of solving two 8-puzzles.
1. Give a complete problem formulation in the style of - Chapter search-chapter.
+ Chapter search-chapter.
2. How large is the reachable state space? Give an exact numerical expression.
diff --git a/markdown/5-Adversarial-Search/exercises/ex_25/question.md b/markdown/5-Adversarial-Search/exercises/ex_25/question.md index 966b0073d8..155c4cc109 100644 --- a/markdown/5-Adversarial-Search/exercises/ex_25/question.md +++ b/markdown/5-Adversarial-Search/exercises/ex_25/question.md @@ -2,7 +2,7 @@ Consider carefully the interplay of chance events and partial information in each of the games in -Exercise game-playing-chance-exercise.
+Exercise game-playing-chance-exercise.
1. For which is the standard expectiminimax model appropriate? Implement the algorithm and run it in your game-playing agent, with diff --git a/markdown/5-Adversarial-Search/exercises/ex_3/question.md b/markdown/5-Adversarial-Search/exercises/ex_3/question.md index 9b8677ac68..5567ab1fe1 100644 --- a/markdown/5-Adversarial-Search/exercises/ex_3/question.md +++ b/markdown/5-Adversarial-Search/exercises/ex_3/question.md @@ -1,6 +1,6 @@ -Imagine that, in Exercise \[two-friends-exercise\], one of +Imagine that, in Exercise two-friends-exercise, one of the friends wants to avoid the other. The problem then becomes a two-player game. We assume now that the players take turns moving. The game ends only when the players are on the same node; the terminal diff --git a/markdown/5-Adversarial-Search/exercises/ex_8/question.md b/markdown/5-Adversarial-Search/exercises/ex_8/question.md index 680437407f..aab26ef995 100644 --- a/markdown/5-Adversarial-Search/exercises/ex_8/question.md +++ b/markdown/5-Adversarial-Search/exercises/ex_8/question.md @@ -1,7 +1,7 @@ Consider the two-player game described in -Figure line-game4-figure
+Figure line-game4-figure
1. Draw the complete game tree, using the following conventions:
diff --git a/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_1/question.md b/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_1/question.md index 3ed34c6207..fe1053a88d 100644 --- a/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_1/question.md +++ b/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_1/question.md @@ -1,5 +1,5 @@ How many solutions are there for the map-coloring problem in -Figure australia-figure? How many solutions if four +Figure australia-figure? How many solutions if four colors are allowed? Two colors? diff --git a/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_11/question.md b/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_11/question.md index b7e2f45673..8f29f48b9e 100644 --- a/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_11/question.md +++ b/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_11/question.md @@ -3,4 +3,4 @@ Use the AC-3 algorithm to show that arc consistency can detect the inconsistency of the partial assignment ${{WA}}{green},V{red}$ for the problem -shown in Figure australia-figure. +shown in Figure australia-figure. diff --git a/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_12/question.md b/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_12/question.md index 16608001b9..2969c0798a 100644 --- a/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_12/question.md +++ b/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_12/question.md @@ -3,4 +3,4 @@ Use the AC-3 algorithm to show that arc consistency can detect the inconsistency of the partial assignment ${{WA}}{red},V{blue}$ for the problem -shown in Figure australia-figure. +shown in Figure australia-figure. diff --git a/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_15/question.md b/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_15/question.md index 732f05aa3b..170e2c168e 100644 --- a/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_15/question.md +++ b/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_15/question.md @@ -1,5 +1,5 @@ -The Tree-CSP-Solver (Figure tree-csp-figure) makes arcs consistent +The Tree-CSP-Solver (Figure tree-csp-figure) makes arcs consistent starting at the leaves and working backwards towards the root. Why does it do that? What would happen if it went in the opposite direction? diff --git a/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_20/question.md b/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_20/question.md index e3689d5ff4..ecd6cc49d8 100644 --- a/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_20/question.md +++ b/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_20/question.md @@ -22,5 +22,3 @@ squares missing, a $10\times 1$ row of squares, etc.).
4. Describe exactly the set of solvable instances that have a tree-structured constraint graph.
-
^1. @Ginsberg+al:1990 discuss several methods for constructing crossword puzzles. -@Littman+al:1999 tackle the harder problem of solving them.
diff --git a/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_5/question.md b/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_5/question.md index 73044537e9..02a9611155 100644 --- a/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_5/question.md +++ b/markdown/6-Constraint-Satisfaction-Problems/exercises/ex_5/question.md @@ -1,6 +1,6 @@ Solve the cryptarithmetic problem in -Figure cryptarithmetic-figure by hand, using the +Figure cryptarithmetic-figure by hand, using the strategy of backtracking with forward checking and the MRV and least-constraining-value heuristics. diff --git a/markdown/6-Constraint-Satisfaction-Problems/index.md b/markdown/6-Constraint-Satisfaction-Problems/index.md index 78c8acb1cb..dc5a8b2d0d 100644 --- a/markdown/6-Constraint-Satisfaction-Problems/index.md +++ b/markdown/6-Constraint-Satisfaction-Problems/index.md @@ -267,3 +267,6 @@ permalink: /csp-exercises/

+
^1. @Ginsberg+al:1990 discuss several methods for constructing crossword puzzles. +@Littman+al:1999 tackle the harder problem of solving them.
+ diff --git a/markdown/7-Logical-Agents/exercises/ex_1/question.md b/markdown/7-Logical-Agents/exercises/ex_1/question.md index fea0a61682..d11198e87a 100644 --- a/markdown/7-Logical-Agents/exercises/ex_1/question.md +++ b/markdown/7-Logical-Agents/exercises/ex_1/question.md @@ -1,12 +1,12 @@ Suppose the agent has progressed to the point shown in -Figure wumpus-seq35-figure(a), page wumpus-seq35-figure, +Figure wumpus-seq35-figure(a), page wumpus-seq35-figure, having perceived nothing in [1,1], a breeze in [2,1], and a stench in [1,2], and is now concerned with the contents of [1,3], [2,2], and [3,1]. Each of these can contain a pit, and at most one can contain a wumpus. Following the example of -Figure wumpus-entailment-figure, construct the set of +Figure wumpus-entailment-figure, construct the set of possible worlds. (You should find 32 of them.) Mark the worlds in which the KB is true and those in which each of the following sentences is true:
diff --git a/markdown/7-Logical-Agents/exercises/ex_11/question.md b/markdown/7-Logical-Agents/exercises/ex_11/question.md index 401fc40305..b27ce506f7 100644 --- a/markdown/7-Logical-Agents/exercises/ex_11/question.md +++ b/markdown/7-Logical-Agents/exercises/ex_11/question.md @@ -2,4 +2,4 @@ Using a method of your choice, verify each of the equivalences in -Table \[logical-equivalence-table\] (page ). +Table logical-equivalence-table (page logical-equivalence-table). diff --git a/markdown/7-Logical-Agents/exercises/ex_12/question.md b/markdown/7-Logical-Agents/exercises/ex_12/question.md index ec3ef53ba8..a7325dfcbb 100644 --- a/markdown/7-Logical-Agents/exercises/ex_12/question.md +++ b/markdown/7-Logical-Agents/exercises/ex_12/question.md @@ -3,7 +3,7 @@ Decide whether each of the following sentences is valid, unsatisfiable, or neither. Verify your decisions using truth tables or the equivalence rules of -Table \[logical-equivalence-table\] (page logical-equivalence-table). +Table logical-equivalence-table (page logical-equivalence-table). 1. ${Smoke} {\:\;{\Rightarrow}\:\;}{Smoke}$
diff --git a/markdown/7-Logical-Agents/exercises/ex_13/question.md b/markdown/7-Logical-Agents/exercises/ex_13/question.md index b627f621cc..66d190d981 100644 --- a/markdown/7-Logical-Agents/exercises/ex_13/question.md +++ b/markdown/7-Logical-Agents/exercises/ex_13/question.md @@ -3,7 +3,7 @@ Decide whether each of the following sentences is valid, unsatisfiable, or neither. Verify your decisions using truth tables or the equivalence rules of -Table \[logical-equivalence-table\] (page logical-equivalence-table).
+Table logical-equivalence-table (page logical-equivalence-table).
1. ${Smoke} {\:\;{\Rightarrow}\:\;}{Smoke}$
diff --git a/markdown/7-Logical-Agents/exercises/ex_15/question.md b/markdown/7-Logical-Agents/exercises/ex_15/question.md index 59e19f3952..2f5dda7ca5 100644 --- a/markdown/7-Logical-Agents/exercises/ex_15/question.md +++ b/markdown/7-Logical-Agents/exercises/ex_15/question.md @@ -1,4 +1,4 @@ Use resolution to prove the sentence $\lnot A \land \lnot B$ from the -clauses in Exercise convert-clausal-exercise. +clauses in Exercise convert-clausal-exercise. diff --git a/markdown/7-Logical-Agents/exercises/ex_16/question.md b/markdown/7-Logical-Agents/exercises/ex_16/question.md index 0a37c712a5..86ed4dce46 100644 --- a/markdown/7-Logical-Agents/exercises/ex_16/question.md +++ b/markdown/7-Logical-Agents/exercises/ex_16/question.md @@ -12,7 +12,7 @@ clauses and implication sentences.
$(P_1 \land \cdots \land P_m) {\;{\Rightarrow}\;}(Q_1 \lor \cdots \lor Q_n)$, where the $P$s and $Q$s are proposition symbols. A knowledge base consisting of such sentences is in implicative normal form or Kowalski - form @Kowalski:1979.
+ form
Kowalski:1979.
3. Write down the full resolution rule for sentences in implicative normal form.
diff --git a/markdown/7-Logical-Agents/exercises/ex_18/question.md b/markdown/7-Logical-Agents/exercises/ex_18/question.md index 6a68cbda4b..ff2e5e5737 100644 --- a/markdown/7-Logical-Agents/exercises/ex_18/question.md +++ b/markdown/7-Logical-Agents/exercises/ex_18/question.md @@ -10,7 +10,7 @@ CSPs.
2. How many solutions are there for this general SAT problem as a function of $n$?
-3. Suppose we apply {Backtracking-Search} (page backtracking-search-algorithm) to find all +3. Suppose we apply {Backtracking-Search} (page backtracking-search-algorithm) to find all solutions to a SAT CSP of the type given in (a). (To find all solutions to a CSP, we simply modify the basic algorithm so it continues searching after each solution is found.) @@ -22,5 +22,5 @@ CSPs.
by forward chaining (unit propagation). We also know that every tree-structured binary CSP with discrete, finite domains can be solved in time linear in the number of variables - (Section csp-structure-section). Are these two + (Section csp-structure-section). Are these two facts connected? Discuss.
diff --git a/markdown/7-Logical-Agents/exercises/ex_19/question.md b/markdown/7-Logical-Agents/exercises/ex_19/question.md index 6a0adb2c55..03f57c385a 100644 --- a/markdown/7-Logical-Agents/exercises/ex_19/question.md +++ b/markdown/7-Logical-Agents/exercises/ex_19/question.md @@ -10,7 +10,7 @@ CSPs.
2. How many solutions are there for this general SAT problem as a function of $n$?
-3. Suppose we apply {Backtracking-Search} (page backtracking-search-algorithm) to find all +3. Suppose we apply {Backtracking-Search} (page backtracking-search-algorithm) to find all solutions to a SAT CSP of the type given in (a). (To find all solutions to a CSP, we simply modify the basic algorithm so it continues searching after each solution is found.) @@ -22,5 +22,5 @@ CSPs.
by forward chaining (unit propagation). We also know that every tree-structured binary CSP with discrete, finite domains can be solved in time linear in the number of variables - (Section csp-structure-section). Are these two + (Section csp-structure-section). Are these two facts connected? Discuss. diff --git a/markdown/7-Logical-Agents/exercises/ex_2/question.md b/markdown/7-Logical-Agents/exercises/ex_2/question.md index f5d91c3a94..7f8264fbfc 100644 --- a/markdown/7-Logical-Agents/exercises/ex_2/question.md +++ b/markdown/7-Logical-Agents/exercises/ex_2/question.md @@ -1,6 +1,6 @@ -(Adapted from @Barwise+Etchemendy:1993 .) Given the following, can you prove that the unicorn is +(Adapted from Barwise+Etchemendy:1993 .) Given the following, can you prove that the unicorn is mythical? How about magical? Horned?
Note: If the unicorn is mythical, then it is immortal, but if it is not diff --git a/markdown/7-Logical-Agents/exercises/ex_24/question.md b/markdown/7-Logical-Agents/exercises/ex_24/question.md index 6b71d1860e..7e16b564e8 100644 --- a/markdown/7-Logical-Agents/exercises/ex_24/question.md +++ b/markdown/7-Logical-Agents/exercises/ex_24/question.md @@ -13,7 +13,7 @@ is in DNF.
2. Construct an algorithm that converts any sentence in propositional logic into DNF. (Hint: The algorithm is similar to the algorithm for conversion to CNF iven in - Sectio pl-resolution-section.)
+ Sectio pl-resolution-section.)
3. Construct a simple algorithm that takes as input a sentence in DNF and returns a satisfying assignment if one exists, or reports that diff --git a/markdown/7-Logical-Agents/exercises/ex_28/question.md b/markdown/7-Logical-Agents/exercises/ex_28/question.md index 13b9b0a888..15af8bf143 100644 --- a/markdown/7-Logical-Agents/exercises/ex_28/question.md +++ b/markdown/7-Logical-Agents/exercises/ex_28/question.md @@ -1,5 +1,3 @@ -[Exercise 7.28 \[minesweeper-exercise\]](ex_28/) - Minesweeper, the well-known computer game, is closely related to the wumpus world. A minesweeper world is a rectangular grid of $N$ squares with $M$ invisible mines scattered diff --git a/markdown/7-Logical-Agents/exercises/ex_30/question.md b/markdown/7-Logical-Agents/exercises/ex_30/question.md index e2c5a813c6..b19524f43e 100644 --- a/markdown/7-Logical-Agents/exercises/ex_30/question.md +++ b/markdown/7-Logical-Agents/exercises/ex_30/question.md @@ -1,5 +1,5 @@ Trace the behavior of {DPLL} on the knowledge base in -Figure pl-horn-example-figure when trying to prove $Q$, +Figure pl-horn-example-figure when trying to prove $Q$, and compare this behavior with that of the forward-chaining algorithm. diff --git a/markdown/7-Logical-Agents/exercises/ex_34/question.md b/markdown/7-Logical-Agents/exercises/ex_34/question.md index 114e5132d1..c6bd6df38f 100644 --- a/markdown/7-Logical-Agents/exercises/ex_34/question.md +++ b/markdown/7-Logical-Agents/exercises/ex_34/question.md @@ -1,5 +1,5 @@ -Section successor-state-section +Section successor-state-section provides some of the successor-state axioms required for the wumpus world. Write down axioms for all remaining fluent symbols. diff --git a/markdown/7-Logical-Agents/exercises/ex_35/question.md b/markdown/7-Logical-Agents/exercises/ex_35/question.md index 9b4eae8320..905c2cdd60 100644 --- a/markdown/7-Logical-Agents/exercises/ex_35/question.md +++ b/markdown/7-Logical-Agents/exercises/ex_35/question.md @@ -1,7 +1,7 @@ Modify the {Hybrid-Wumpus-Agent} to use the 1-CNF logical state -estimation method described on page 1cnf-belief-state-page. We noted on that page +estimation method described on page 1cnf-belief-state-page. We noted on that page that such an agent will not be able to acquire, maintain, and use more complex beliefs such as the disjunction $P_{3,1}\lor P_{2,2}$. Suggest a method for overcoming this problem by defining additional proposition diff --git a/markdown/7-Logical-Agents/index.md b/markdown/7-Logical-Agents/index.md index bb80866674..0514ed97cb 100644 --- a/markdown/7-Logical-Agents/index.md +++ b/markdown/7-Logical-Agents/index.md @@ -361,7 +361,7 @@ permalink: /knowledge-logic-exercises/
diff --git a/markdown/8-First-Order-Logic/exercises/ex_15/question.md b/markdown/8-First-Order-Logic/exercises/ex_15/question.md index 3c2431d79d..a504a4ffac 100644 --- a/markdown/8-First-Order-Logic/exercises/ex_15/question.md +++ b/markdown/8-First-Order-Logic/exercises/ex_15/question.md @@ -1,6 +1,6 @@ Rewrite the first two Peano axioms in -Section Peano-section as a single axiom that defines +Section Peano-section as a single axiom that defines ${NatNum}(x)$ so as to exclude the possibility of natural numbers except for those generated by the successor function. diff --git a/markdown/8-First-Order-Logic/exercises/ex_16/question.md b/markdown/8-First-Order-Logic/exercises/ex_16/question.md index 6e4d7113d7..b6b19d4ac9 100644 --- a/markdown/8-First-Order-Logic/exercises/ex_16/question.md +++ b/markdown/8-First-Order-Logic/exercises/ex_16/question.md @@ -1,7 +1,7 @@ -Equation (pit-biconditional-equation) on -page pit-biconditional-equation defines the conditions under which a square is +Equation (pit-biconditional-equation) on +page pit-biconditional-equation defines the conditions under which a square is breezy. Here we consider two other ways to describe this aspect of the wumpus world.
diff --git a/markdown/8-First-Order-Logic/exercises/ex_17/question.md b/markdown/8-First-Order-Logic/exercises/ex_17/question.md index b4f84885cb..e21bc54786 100644 --- a/markdown/8-First-Order-Logic/exercises/ex_17/question.md +++ b/markdown/8-First-Order-Logic/exercises/ex_17/question.md @@ -1,12 +1,10 @@ - - Write axioms describing the predicates ${Grandchild}$, ${Greatgrandparent}$, ${Ancestor}$, ${Brother}$, ${Sister}$, ${Daughter}$, ${Son}$, ${FirstCousin}$, ${BrotherInLaw}$, ${SisterInLaw}$, ${Aunt}$, and ${Uncle}$. Find out the proper definition of $m$th cousin $n$ times removed, and write the definition in first-order logic. Now write down the basic facts -depicted in the family tree in Figure family1-figure. +depicted in the family tree in Figure family1-figure. Using a suitable logical reasoning system, it all the sentences you have written down, and it who are Elizabeth’s grandchildren, Diana’s brothers-in-law, Zara’s great-grandparents, and Eugenie’s ancestors.
diff --git a/markdown/8-First-Order-Logic/exercises/ex_25/question.md b/markdown/8-First-Order-Logic/exercises/ex_25/question.md index 87cb276929..c06bd6c20d 100644 --- a/markdown/8-First-Order-Logic/exercises/ex_25/question.md +++ b/markdown/8-First-Order-Logic/exercises/ex_25/question.md @@ -1,6 +1,6 @@ -In Chapter csp-chapter, we used equality to indicate +In Chapter csp-chapter, we used equality to indicate the relation between a variable and its value. For instance, we wrote ${WA}{{\,=\,}}{red}$ to mean that Western Australia is colored red. Representing this in first-order logic, we must write more diff --git a/markdown/8-First-Order-Logic/exercises/ex_33/question.md b/markdown/8-First-Order-Logic/exercises/ex_33/question.md index c8bd6f2a0c..cf19cd2ce7 100644 --- a/markdown/8-First-Order-Logic/exercises/ex_33/question.md +++ b/markdown/8-First-Order-Logic/exercises/ex_33/question.md @@ -1,7 +1,7 @@ Extend the vocabulary from -Section circuits-section to define addition for $n$-bit +Section circuits-section to define addition for $n$-bit binary numbers. Then encode the description of the four-bit adder in Figure 4bit-adder-figure, and pose the queries needed to verify that it is in fact correct. @@ -9,5 +9,5 @@ to verify that it is in fact correct.
4bit-adder-figure -
A four-bit adder. Each ${Ad}_i$ is a one-bit adder, as in figure adder-figure on page adder-figure
+
A four-bit adder. Each ${Ad}_i$ is a one-bit adder, as in figure adder-figure on page adder-figure
diff --git a/markdown/8-First-Order-Logic/exercises/ex_34/question.md b/markdown/8-First-Order-Logic/exercises/ex_34/question.md index 64f7f48587..ed4094f847 100644 --- a/markdown/8-First-Order-Logic/exercises/ex_34/question.md +++ b/markdown/8-First-Order-Logic/exercises/ex_34/question.md @@ -12,9 +12,9 @@ indicate direct connections. For example, a NAND circuit can be composed from ${AND}$s and ${NOT}$s: $${\forall\,i_1,i_2,o_a,o\;\;} {AND}(i_1,i_2,o_a) \land {NOT}(o_a,o) {\:\;{\Rightarrow}\:\;}{NAND}(i_1,i_2,o)\ .$$ Using this representation, define the one-bit adder in -Figure adder-figure and the four-bit adder in -Figure adder-figure, and explain what queries you +Figure adder-figure and the four-bit adder in +Figure adder-figure, and explain what queries you would use to verify the designs. What kinds of queries are *not* supported by this representation that *are* supported by the representation in -Section circuits-section? +Section circuits-section? diff --git a/markdown/8-First-Order-Logic/exercises/ex_35/question.md b/markdown/8-First-Order-Logic/exercises/ex_35/question.md index 79bbd4d25f..d134d52e0b 100644 --- a/markdown/8-First-Order-Logic/exercises/ex_35/question.md +++ b/markdown/8-First-Order-Logic/exercises/ex_35/question.md @@ -3,4 +3,4 @@ Obtain a passport application for your country, identify the rules determining eligibility for a passport, and translate them into first-order logic, following the steps outlined in -Section circuits-section +Section circuits-section diff --git a/markdown/8-First-Order-Logic/exercises/ex_6/question.md b/markdown/8-First-Order-Logic/exercises/ex_6/question.md index 3d3abfa259..bd43f4f3a7 100644 --- a/markdown/8-First-Order-Logic/exercises/ex_6/question.md +++ b/markdown/8-First-Order-Logic/exercises/ex_6/question.md @@ -1,6 +1,4 @@ - - -fol-model-count-exercise Consider a symbol vocabulary that contains +Consider a symbol vocabulary that contains $c$ constant symbols, $p_k$ predicate symbols of each arity $k$, and $f_k$ function symbols of each arity $k$, where $1\leq k\leq A$. Let the domain size be fixed at $D$. For any given model, each predicate or diff --git a/markdown/8-First-Order-Logic/index.md b/markdown/8-First-Order-Logic/index.md index fdcf0e4475..a70abb0e8b 100644 --- a/markdown/8-First-Order-Logic/index.md +++ b/markdown/8-First-Order-Logic/index.md @@ -75,7 +75,7 @@ permalink: /fol-exercises/
diff --git a/markdown/9-Inference-In-First-Order-Logic/exercises/ex_13/question.md b/markdown/9-Inference-In-First-Order-Logic/exercises/ex_13/question.md index 8f2506cb51..adf9218eea 100644 --- a/markdown/9-Inference-In-First-Order-Logic/exercises/ex_13/question.md +++ b/markdown/9-Inference-In-First-Order-Logic/exercises/ex_13/question.md @@ -2,7 +2,7 @@ A popular children’s riddle is “Brothers and sisters have I none, but that man’s father is my father’s son.” Use the rules of the family -domain (Section kinship-domain-section on -page kinship-domain-section to show who that man is. You may apply any of the +domain (Section kinship-domain-section on +page kinship-domain-section to show who that man is. You may apply any of the inference methods described in this chapter. Why do you think that this riddle is difficult? diff --git a/markdown/9-Inference-In-First-Order-Logic/exercises/ex_16/question.md b/markdown/9-Inference-In-First-Order-Logic/exercises/ex_16/question.md index dd7ff4c64b..f54a46b627 100644 --- a/markdown/9-Inference-In-First-Order-Logic/exercises/ex_16/question.md +++ b/markdown/9-Inference-In-First-Order-Logic/exercises/ex_16/question.md @@ -1,7 +1,7 @@ In this exercise, use the sentences you wrote in -Exercise fol-horses-exercise to answer a question by using a backward-chaining algorithm.
1. Draw the proof tree generated by an exhaustive backward-chaining @@ -13,4 +13,4 @@ using a backward-chaining algorithm.
3. How many solutions for $h$ actually follow from your sentences?
4. Can you think of a way to find all of them? (Hint: - See @Smith+al:1986.)
+ See Smith+al:1986.)
diff --git a/markdown/9-Inference-In-First-Order-Logic/exercises/ex_17/question.md b/markdown/9-Inference-In-First-Order-Logic/exercises/ex_17/question.md index 93a82ff349..71c1006f5c 100644 --- a/markdown/9-Inference-In-First-Order-Logic/exercises/ex_17/question.md +++ b/markdown/9-Inference-In-First-Order-Logic/exercises/ex_17/question.md @@ -1,7 +1,7 @@ Trace the execution of the backward-chaining -algorithm in Figure backward-chaining-algorithm -(page backward-chaining-algorithm when it is applied to solve the crime problem +algorithm in Figure backward-chaining-algorithm +(page backward-chaining-algorithm when it is applied to solve the crime problem (page west-problem-page. Show the sequence of values taken on by the ${goals}$ variable, and arrange them into a tree. diff --git a/markdown/9-Inference-In-First-Order-Logic/exercises/ex_6/question.md b/markdown/9-Inference-In-First-Order-Logic/exercises/ex_6/question.md index 02ad7c0ced..db416c324e 100644 --- a/markdown/9-Inference-In-First-Order-Logic/exercises/ex_6/question.md +++ b/markdown/9-Inference-In-First-Order-Logic/exercises/ex_6/question.md @@ -1,8 +1,8 @@ Consider the subsumption lattices shown -in Figure subsumption-lattice-figure -(page subsumption-lattice-figure
. +in Figure subsumption-lattice-figure +(page subsumption-lattice-figure
. 1. Construct the lattice for the sentence ${Employs}({Mother}({John}),{Father}({Richard}))$.

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