Starting graph algebra

examples/graph_algebra/gla_ex0_0.ipynb

@@ -0,0 +1,199 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Graph Algebra with `kglab`\n",
+    "\n",
+    "## intro\n",
+    "`kglab` provides tools to access graph data from multiple source to build a `KnowledgeGraph` that can be easily used by data scientists. For a thorough explanation of how to use triples-stored data and how to load this data into `kglab` please see examples in the `examples/` directory. The examples in this directory (`examples/graph_algebra/`) will care to introduce graph algebra capabilities to be used on the graphs the user has loaded. \n",
+    "\n",
+    "## basic load and querying\n",
+    "In particular, once your data is loaded in a `KnowledgeGraph` with something like:\n",
+    "\n",
+    "1. Instantiate a graph from a dataset:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<kglab.kglab.KnowledgeGraph at 0x7f283f3d3940>"
+      ]
+     },
+     "execution_count": 1,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# for use in tutorial and development; do not include this `sys.path` change in production:\n",
+    "import sys ; sys.path.insert(0, \"../../\")\n",
+    "from os.path import dirname\n",
+    "import kglab\n",
+    "import os\n",
+    "\n",
+    "namespaces = {\n",
+    "    \"foaf\": \"http://xmlns.com/foaf/0.1/\",\n",
+    "    \"gorm\": \"http://example.org/sagas#\",\n",
+    "    \"rel\":  \"http://purl.org/vocab/relationship/\",\n",
+    "    }\n",
+    "\n",
+    "kg = kglab.KnowledgeGraph(\n",
+    "    name = \"Happy Vikings KG example for SKOS/OWL inference\",\n",
+    "    namespaces=namespaces,\n",
+    "    )\n",
+    "\n",
+    "kg.load_rdf(dirname(dirname(os.getcwd())) + \"/dat/gorm.ttl\")"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "\n",
+    "2. It is possible to create a subgraph by providing a SPARQL query, by defining a \"subject\" and \"object\":\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "query = \"\"\"SELECT ?subject ?object\n",
+    "WHERE {\n",
+    "    ?subject rdf:type gorm:Viking .\n",
+    "    ?subject gorm:childOf ?object .\n",
+    "}\n",
+    "\"\"\""
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "\n",
+    "## define a subgraph\n",
+    "In this case we are looking for the network of parent-child relations among members of Vikings family.\n",
+    "\n",
+    "With this query we can define a **subgraph** so to have access to **graph algebra** capabilities: "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from kglab.subg import SubgraphMatrix\n",
+    "\n",
+    "subgraph = SubgraphMatrix(kg=kg, sparql=query)\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## compute Adjacency matrices\n",
+    "Let's compute the first basic adjacency matrix (usually noted with `A`):"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([[0., 1., 1., 0., 0.],\n",
+       "       [0., 0., 0., 1., 0.],\n",
+       "       [0., 0., 0., 0., 0.],\n",
+       "       [0., 0., 0., 0., 1.],\n",
+       "       [0., 0., 0., 0., 0.]])"
+      ]
+     },
+     "execution_count": 4,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "adj_matrix = subgraph.to_adjacency()\n",
+    "adj_matrix"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "what happened here is that all the subjects and objects have been turned into integer indices from 0 to number of nodes. So we can see that the entity with index 0 is adjancent (is connected, has a directed edge) to the entity with index 1. This is a directed graph because the relationship `gorm:childOf` goes from child to parent, let's turn this into an undirected graph so to see the relation in a more symmetric way (both the child-parent and parent-child)."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([[0., 1., 1., 0., 0.],\n",
+       "       [1., 0., 0., 1., 0.],\n",
+       "       [1., 0., 0., 0., 0.],\n",
+       "       [0., 1., 0., 0., 1.],\n",
+       "       [0., 0., 0., 1., 0.]])"
+      ]
+     },
+     "execution_count": 6,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "undirected_adj_mtx = subgraph.to_undirected()\n",
+    "undirected_adj_mtx"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "We can see now the relationship is a generic symmetric \"parenthood\" relations, not just a child-parent directed relationship."
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3.8.10 64-bit ('.venv': venv)",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.8.10"
+  },
+  "orig_nbformat": 4,
+  "vscode": {
+   "interpreter": {
+    "hash": "de68f9b565e1e230f4433adb1a318d8f3a0dfad0917fa0c696727472c8ddadbf"
+   }
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}

kglab/algebra.py

@@ -0,0 +1,65 @@
+"""
+Working with `SubgraphMatrix` as vectorized representation.
+Additions to functionalities present in `subg.py`.
+Integrate `scipy` and `scikit-learn` functionalities.
+
+see license https://github.com/DerwenAI/kglab#license-and-copyright
+"""
+import typing
+
+import networkx as nx
+from networkx import DiGraph
+
+class AlgebraMixin:
+    """
+Provides methods to work with graph algebra using `SubgraphMatrix` data.
+
+NOTE: provide optional Oxigraph support for fast in-memory computation
+    """
+    nx_graph: typing.Optional[DiGraph] = None
+
+    def to_undirected(self):
+        return nx.to_numpy_array(self.nx_graph.to_undirected())
+
+    def to_adjacency(self):
+        """
+Return adjacency (dense) matrix for the KG.
+[Relevant NetworkX interface](https://networkx.org/documentation/stable/reference/convert.html#id2)
+
+        returns:
+`numpy.array`: the array representation in `numpy` standard
+        """
+        self.check_attributes()
+        return nx.to_numpy_array(self.nx_graph)
+
+    def to_incidence(self):
+        """
+Return incidence (dense) matrix for the KG.
+[Relevant scipy docs](https://docs.scipy.org/doc/scipy/reference/generated/scipy.sparse.csr_matrix.html)
+
+        returns:
+`numpy.array`: the array representation in `numpy` standard
+        """
+        self.check_attributes()
+        return nx.incidence_matrix(self.nx_graph).toarray()
+
+    def to_laplacian(self):
+        """
+Return Laplacian matrix for the KG. Graph is turned into undirected.
+[docs](https://networkx.org/documentation/stable/reference/generated/networkx.linalg.laplacianmatrix.laplacian_matrix.html)
+
+        returns:
+`numpy.array`: the array representation in `numpy` standard
+        """
+        self.check_attributes()
+        return nx.laplacian_matrix(self.nx_graph.to_undirected()).toarray()
+
+    def to_scipy_sparse(self):
+        """
+Return graph in CSR format (optimized for matrix-matrix operations).
+
+        returns:
+SciPy sparse matrix: Graph adjacency matrix.        
+        """
+        self.check_attributes()
+        return nx.to_scipy_sparse_array(self.nx_graph)

kglab/networks.py

@@ -0,0 +1,43 @@
+"""
+Working with `SubgraphMatrix` as vectorized representation.
+Additions to functionalities present in `subg.py`.
+Integrate `scikit-network` functionalities.
+
+see license https://github.com/DerwenAI/kglab#license-and-copyright
+"""
+
+import sknetwork as skn
+
+class NetAnalysisMixin:
+    """
+Provides methods for network analysis tools to work with `KnowledgeGraph`.
+    """
+    def get_distances(self, adj_mtx):
+        """
+Compute distances according to an adjacency matrix.
+        """
+        self.check_attributes()
+        return skn.path.get_distances(adj_mtx)
+
+    def get_shortest_path(self, adj_matx, src, dst):
+        """
+Return shortest path from sources to destinations according to an djacency matrix.
+
+        adj_mtx:
+numpy.array: adjacency matrix for the graph.
+        src:
+int or iterable: indices of source nodes
+        dst:
+int or iterable: indices of destination nodes
+
+        returns:
+list of int: a path of indices
+        """
+        self.check_attributes()
+        return skn.path.get_shortest_path(adj_matx, src, dst)
+
+
+# number of nodes, number of edges
+# density
+# triangles
+# reciprocity

kglab/query/mixin.py

@@ -81,7 +81,8 @@ def query_as_df (
         pythonify: bool = True,
         ) -> pd.DataFrame:
         """
-Wrapper for [`rdflib.Graph.query()`](https://rdflib.readthedocs.io/en/stable/apidocs/rdflib.html?highlight=query#rdflib.Graph.query) to perform a SPARQL query on the RDF graph.
+Wrapper for [`rdflib.Graph.query()`](https://rdflib.readthedocs.io/en/stable/apidocs/rdflib.html?highlight=query#rdflib.Graph.query)
+to perform a SPARQL query on the RDF graph.
 
     sparql:
 text for the SPARQL query
@@ -123,7 +124,8 @@ def visualize_query (
         notebook: bool = False,
         ) -> pyvis.network.Network:
         """
-Visualize the given SPARQL query as a [`pyvis.network.Network`](https://pyvis.readthedocs.io/en/latest/documentation.html#pyvis.network.Network)
+Visualize the given SPARQL query as a
+[`pyvis.network.Network`](https://pyvis.readthedocs.io/en/latest/documentation.html#pyvis.network.Network)
 
     sparql:
 input SPARQL query to be visualized
@@ -144,7 +146,9 @@ def n3fy (
         pythonify: bool = True,
         ) -> typing.Any:
         """
-Wrapper for RDFlib [`n3()`](https://rdflib.readthedocs.io/en/stable/utilities.html?highlight=n3#serializing-a-single-term-to-n3) and [`toPython()`](https://rdflib.readthedocs.io/en/stable/apidocs/rdflib.html?highlight=toPython#rdflib.Variable.toPython) to serialize a node into a human-readable representation using N3 format.
+Wrapper for RDFlib [`n3()`](https://rdflib.readthedocs.io/en/stable/utilities.html?highlight=n3#serializing-a-single-term-to-n3)
+and [`toPython()`](https://rdflib.readthedocs.io/en/stable/apidocs/rdflib.html?highlight=toPython#rdflib.Variable.toPython)
+to serialize a node into a human-readable representation using N3 format.
 
     node:
 must be a [`rdflib.term.Node`](https://rdflib.readthedocs.io/en/stable/apidocs/rdflib.html?highlight=Node#rdflib.term.Node)