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G([r,t,o]).pipe(l(([{height:i},{offset:s,size:a},{x:f,y:c}])=>({offset:{x:s.x-f,y:s.y-c+i},size:a})))}(()=>{function e(n,o){parent.postMessage(n,o||"*")}function t(...n){return n.reduce((o,i)=>o.then(()=>new Promise(s=>{let a=document.createElement("script");a.src=i,a.onload=s,document.body.appendChild(a)})),Promise.resolve())}var r=class extends EventTarget{constructor(n){super(),this.url=n,this.m=i=>{i.source===this.w&&(this.dispatchEvent(new MessageEvent("message",{data:i.data})),this.onmessage&&this.onmessage(i))},this.e=(i,s,a,f,c)=>{if(s===`${this.url}`){let u=new ErrorEvent("error",{message:i,filename:s,lineno:a,colno:f,error:c});this.dispatchEvent(u),this.onerror&&this.onerror(u)}};let o=document.createElement("iframe");o.hidden=!0,document.body.appendChild(this.iframe=o),this.w.document.open(),this.w.document.write(` + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +

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DYS-Net

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DYS-Net Overview

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License: MIT +Docs

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FPO-DYS

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Daniel McKenzie, Samy Wu Fung, and Howard Heaton

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+

Summary

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Operator splitting can be used to design easy-to-train models for predict-and-optimize tasks, which scale effortlessly to problems with thousands of variables.

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+

+Contact Us +

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+

Key Steps

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    +
  • Split polytope constraints into nonnegativity and affine constraints
  • +
  • Evaluate model using three-operator splitting (with projections onto two constraint sets) for forward prop
  • +
  • Backprop using JFB
  • +
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+

+Preprint +Code
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+
+

Abstract

+

In many practical settings, a combinatorial problem must be repeatedly solved with similar, but distinct parameters. Yet, the parameters \(w\) are not directly observed; only contextual data \(d\) that correlates with \(w\) is available. It is tempting to use a neural network to predict \(w\) given \(d\), but training such a model requires reconciling the discrete nature of combinatorial optimization with the gradient-based frameworks used to train neural networks. One approach to overcoming this issue is to consider a continuous relaxation of the combinatorial problem. +While existing such approaches have shown to be highly effective on small problems (10--100 variables) they do not scale well to large problems. In this work, we show how recent results in operator splitting can be used to design such a system which is easy to train and scales effortlessly to problems with thousands of variables.

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+

Citation

+
@article{mckenzie2023faster,
+         title={{Faster Predict-and-Optimize with Davis-Yin Splitting}},
+         author={McKenzie, Daniel and Wu Fung, Samy and Heaton, Howard},
+         journal={arXiv preprint arXiv:2301.13395},
+         year={2023}
+}
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+ + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/index.md b/index.md new file mode 100644 index 0000000..f57fc29 --- /dev/null +++ b/index.md @@ -0,0 +1,38 @@ +[![License: MIT](https://img.shields.io/badge/License-MIT-yellow.svg)](https://opensource.org/licenses/MIT) +![Docs](https://github.com/mines-opt-ml/fpo-dys/actions/workflows/ci.yml/badge.svg) + +# FPO-DYS + +:material-draw-pen: [Daniel McKenzie](https://danielmckenzie.github.io/), [Samy Wu Fung](https://swufung.github.io/), and [Howard Heaton](https://howardheaton.tech) + +!!! note "Summary" + Operator splitting can be used to design easy-to-train models for predict-and-optimize tasks, which scale effortlessly to problems with thousands of variables. + +
+[Contact Us](https://form.jotform.com/TypalAcademy/contact-form){ .md-button .md-button--primary } +
+ +!!! success "Key Steps" + - [x] Split polytope constraints into nonnegativity and affine constraints + - [x] Evaluate model using three-operator splitting (with projections onto two constraint sets) for forward prop + - [x] Backprop using JFB + +
+[Preprint :material-file-document-outline:](assets/fpo-dys-preprint.pdf){ .md-button .md-button--primary } +[Code :octicons-code-16:](https://github.com/mines-opt-ml/fpo-dys){ .md-button .md-button--primary } +
+ +!!! abstract "Abstract" + + In many practical settings, a combinatorial problem must be repeatedly solved with similar, but distinct parameters. Yet, the parameters $w$ are not directly observed; only contextual data $d$ that correlates with $w$ is available. It is tempting to use a neural network to predict $w$ given $d$, but training such a model requires reconciling the discrete nature of combinatorial optimization with the gradient-based frameworks used to train neural networks. One approach to overcoming this issue is to consider a continuous relaxation of the combinatorial problem. + While existing such approaches have shown to be highly effective on small problems (10--100 variables) they do not scale well to large problems. In this work, we show how recent results in operator splitting can be used to design such a system which is easy to train and scales effortlessly to problems with thousands of variables. + +!!! quote "Citation" + ``` + @article{mckenzie2023faster, + title={{Faster Predict-and-Optimize with Davis-Yin Splitting}}, + author={McKenzie, Daniel and Wu Fung, Samy and Heaton, Howard}, + journal={arXiv preprint arXiv:2301.13395}, + year={2023} + } + ``` diff --git a/javascripts/mathjax.js b/javascripts/mathjax.js new file mode 100644 index 0000000..1c35fc1 --- /dev/null +++ b/javascripts/mathjax.js @@ -0,0 +1,17 @@ +window.MathJax = { + tex: { + inlineMath: [["\\(", "\\)"]], + displayMath: [["\\[", "\\]"]], + processEscapes: true, + processEnvironments: true + }, + options: { + ignoreHtmlClass: ".*|", + processHtmlClass: "arithmatex" + } + }; + + document$.subscribe(() => { + MathJax.typesetPromise() + }) + \ No newline at end of file diff --git a/search/search_index.json b/search/search_index.json new file mode 100644 index 0000000..501d20f --- /dev/null +++ b/search/search_index.json @@ -0,0 +1 @@ +{"config":{"lang":["en"],"separator":"[\\s\\-]+","pipeline":["stopWordFilter"]},"docs":[{"location":"","title":"FPO-DYS","text":""},{"location":"#fpo-dys","title":"FPO-DYS","text":"

Daniel McKenzie, Samy Wu Fung, and Howard Heaton

Summary

Operator splitting can be used to design easy-to-train models for predict-and-optimize tasks, which scale effortlessly to problems with thousands of variables.

Contact Us

Key Steps

  • Split polytope constraints into nonnegativity and affine constraints
  • Evaluate model using three-operator splitting (with projections onto two constraint sets) for forward prop
  • Backprop using JFB

Preprint Code

Abstract

In many practical settings, a combinatorial problem must be repeatedly solved with similar, but distinct parameters. Yet, the parameters \\(w\\) are not directly observed; only contextual data \\(d\\) that correlates with \\(w\\) is available. It is tempting to use a neural network to predict \\(w\\) given \\(d\\), but training such a model requires reconciling the discrete nature of combinatorial optimization with the gradient-based frameworks used to train neural networks. One approach to overcoming this issue is to consider a continuous relaxation of the combinatorial problem. While existing such approaches have shown to be highly effective on small problems (10--100 variables) they do not scale well to large problems. In this work, we show how recent results in operator splitting can be used to design such a system which is easy to train and scales effortlessly to problems with thousands of variables.

Citation

@article{mckenzie2023faster,\n         title={{Faster Predict-and-Optimize with Davis-Yin Splitting}},\n         author={McKenzie, Daniel and Wu Fung, Samy and Heaton, Howard},\n         journal={arXiv preprint arXiv:2301.13395},\n         year={2023}\n}\n
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(to be complete)

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