{ "cells": [ { "cell_type": "markdown", "id": "95a492d4", "metadata": { "tags": [ "COP", "complex", "easy", "Intension", "Precedence", "symmetry-breaking", "objSum" ] }, "source": [ "# Problem *Community Detection*" ] }, { "cell_type": "markdown", "id": "ec926be8", "metadata": {}, "source": [ "The problem is to partition the set of nodes of a graph (the parts forming so-called communities) while seeking maximum modularity (as defined by a matrix).\n", "Among possible constraints related to some background knowledge, one can impose that some pairs of nodes must be assigned to the same or different communities.\n", "The problem of constrained community detection is described with many details in \"A declarative approach to constrained community detection\" by M. Ganji, J. Bailey, and P. Stuckey, in proceedings of CP’17." ] }, { "attachments": { "community.png": { "image/png": "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" } }, "cell_type": "markdown", "id": "d6e0a002", "metadata": {}, "source": [ "Forming Communities. \n", " Image by Thamindu Dilshan Jayawickramafrom \n", "\"Community\"" ] }, { "cell_type": "markdown", "id": "f898fcd6", "metadata": {}, "source": [ "To build a COP (Constraint Optimization Problem) model, we need first to import the library PyCSP$^3$:" ] }, { "cell_type": "code", "execution_count": 1, "id": "1500590b", "metadata": {}, "outputs": [], "source": [ "from pycsp3 import *" ] }, { "cell_type": "markdown", "id": "118b1507", "metadata": {}, "source": [ "Then, we need some data. \n", "The graph is given by its adjacency matrix, and nodes that must be put together or in separate communities are indicated by lists.\n", "The maximum number of communities is also indicated." ] }, { "cell_type": "code", "execution_count": 2, "id": "55ecd7d9", "metadata": {}, "outputs": [], "source": [ "graph = [\n", " [0,0,1,0,0,1],\n", " [0,1,0,0,0,0],\n", " [0,0,0,1,0,0],\n", " [0,0,1,0,0,0],\n", " [0,0,1,0,1,0],\n", " [1,0,1,0,1,1]]\n", "together = [[0,5], [2,3], [4,5]]\n", "separate = [[1,3], [3, 5]]\n", "m = 3 # max communities\n", "n = len(graph)" ] }, { "cell_type": "markdown", "id": "96dc0400", "metadata": {}, "source": [ "We compute the modularity matrix W:" ] }, { "cell_type": "code", "execution_count": 3, "id": "156d34d8", "metadata": {}, "outputs": [], "source": [ "def modularity_matrix():\n", " degrees = [sum(graph[i]) for i in range(n)] # node degrees\n", " sum_degrees = sum(degrees) # mu ltiplier used to avoid fractions\n", " return [[sum_degrees * graph[i][j] - degrees[i] * degrees[j] for j in range(n)]\n", " for i in range(n)]\n", "\n", "W = modularity_matrix()" ] }, { "cell_type": "markdown", "id": "ee27d222", "metadata": {}, "source": [ "We can display it:" ] }, { "cell_type": "code", "execution_count": 4, "id": "ea6b87cf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[-4, -2, 9, -2, -4, 3], [-2, 10, -1, -1, -2, -4], [-2, -1, -1, 10, -2, -4], [-2, -1, 10, -1, -2, -4], [-4, -2, 9, -2, 7, -8], [3, -4, 7, -4, 3, -5]]\n" ] } ], "source": [ "print(W)" ] }, { "cell_type": "markdown", "id": "b021c396", "metadata": {}, "source": [ "We start our COP model by introducing an array $x$ of variables." ] }, { "cell_type": "code", "execution_count": 5, "id": "55dbebcb", "metadata": {}, "outputs": [], "source": [ "# x[i] is the community of the ith node\n", "x = VarArray(size=n, dom=range(m))" ] }, { "cell_type": "markdown", "id": "fb942a15", "metadata": {}, "source": [ "We can display the structure of the array, as well as the domain of the first variable (note that all variables have the same domain)." ] }, { "cell_type": "code", "execution_count": 6, "id": "347b7e18", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Array x: [x[0], x[1], x[2], x[3], x[4], x[5]]\n", "Domain of any variable: 0..2\n" ] } ], "source": [ "print(\"Array x: \", x)\n", "print(\"Domain of any variable: \", x[0].dom)" ] }, { "cell_type": "raw", "id": "73223dc3", "metadata": {}, "source": [ "Concerning the constraints, we have to post two groups of constraints *Intension*: the first one to ensure that some nodes belong to the same community, and the second one tp ensure that some nodes belong to separate communities." ] }, { "cell_type": "code", "execution_count": 7, "id": "f7cd740d", "metadata": {}, "outputs": [], "source": [ "satisfy(\n", " # considering nodes that must belong to the same community\n", " [x[i] == x[j] for i, j in together],\n", "\n", " # considering nodes that must not belong to the same community\n", " [x[i] != x[j] for i, j in separate]\n", ");" ] }, { "cell_type": "markdown", "id": "9c60eb3b", "metadata": {}, "source": [ "We can display the internal representation of the two posted constraints; this way, although a little bit technical, we can see that the arguments of the two constraints are correct." ] }, { "cell_type": "code", "execution_count": 8, "id": "474b0cef", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "intension(function:eq(x[0],x[5]))\n", "intension(function:eq(x[2],x[3]))\n", "intension(function:eq(x[4],x[5]))\n", "intension(function:ne(x[1],x[3]))\n", "intension(function:ne(x[3],x[5]))\n" ] } ], "source": [ "print(posted())" ] }, { "cell_type": "markdown", "id": "d5b9a806", "metadata": {}, "source": [ "Interestingly, by calling the function *solve()*, we can check that the problem is satisfiable (SAT). We can also display the found solution. Here, we call the function *values()* that collects the values assigned to a specified list of variables." ] }, { "cell_type": "code", "execution_count": 9, "id": "91ad3a0e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0, 0, 1, 1, 0, 0]\n" ] } ], "source": [ "if solve() is SAT:\n", " print(values(x))" ] }, { "cell_type": "markdown", "id": "bd78aab4", "metadata": {}, "source": [ "We can display all solutions, as follows." ] }, { "cell_type": "code", "execution_count": 10, "id": "6640c605", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Solution 1: [0, 0, 1, 1, 0, 0]\n", "Solution 2: [0, 0, 2, 2, 0, 0]\n", "Solution 3: [0, 1, 2, 2, 0, 0]\n", "Solution 4: [0, 2, 1, 1, 0, 0]\n", "Solution 5: [2, 2, 1, 1, 2, 2]\n", "Solution 6: [2, 0, 1, 1, 2, 2]\n", "Solution 7: [2, 1, 0, 0, 2, 2]\n", "Solution 8: [2, 2, 0, 0, 2, 2]\n", "Solution 9: [1, 2, 0, 0, 1, 1]\n", "Solution 10: [1, 1, 0, 0, 1, 1]\n", "Solution 11: [1, 1, 2, 2, 1, 1]\n", "Solution 12: [1, 0, 2, 2, 1, 1]\n" ] } ], "source": [ "if solve(sols=ALL) is SAT:\n", " for i in range(n_solutions()):\n", " print(f\"Solution {i+1}: {values(x, sol=i)}\")" ] }, { "cell_type": "markdown", "id": "194c0323", "metadata": {}, "source": [ "One way of breaking symmetries is to post a constraint *Precedence*. " ] }, { "cell_type": "code", "execution_count": 11, "id": "93f7d876", "metadata": {}, "outputs": [], "source": [ "satisfy(\n", " # tag(symmetry-breaking)\n", " Precedence(x)\n", ");" ] }, { "cell_type": "markdown", "id": "b90649f9", "metadata": {}, "source": [ "This guarantees that if 2 is assigned, in the list $x$, it is preceeded by 1, and if 1 is assigned, it is preceeeded by 0. \n", "Actually, the code above is equivalent to:" ] }, { "cell_type": "raw", "id": "9aa44f5e", "metadata": {}, "source": [ "satisfy(\n", " # tag(symmetry-breaking)\n", " Precedence(x, values= [0,1,2])\n", ");" ] }, { "cell_type": "markdown", "id": "3df9aa7f", "metadata": {}, "source": [ "Now, we can check that only 2 solutions remains:" ] }, { "cell_type": "code", "execution_count": 12, "id": "f6236c2a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Solution 1: [0, 0, 1, 1, 0, 0]\n", "Solution 2: [0, 1, 2, 2, 0, 0]\n" ] } ], "source": [ "if solve(sols=ALL) is SAT:\n", " for i in range(n_solutions()):\n", " print(f\"Solution {i+1}: {values(x, sol=i)}\")" ] }, { "cell_type": "markdown", "id": "acea77c4", "metadata": {}, "source": [ "Finally, we can post the objective:" ] }, { "cell_type": "code", "execution_count": 13, "id": "c3c4e51c", "metadata": {}, "outputs": [], "source": [ "maximize(\n", " Sum((x[i] == x[j]) * W[i][j] for i, j in combinations(n, 2) if W[i][j] != 0)\n", ");" ] }, { "cell_type": "markdown", "id": "3f393df7", "metadata": {}, "source": [ "We can display the internal representation of the objective to check if everything looks good:" ] }, { "cell_type": "code", "execution_count": 14, "id": "2747fd17", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "maximize(sum(list:[eq(x[0],x[1]), eq(x[0],x[2]), eq(x[0],x[3]), eq(x[0],x[4]), eq(x[0],x[5]), eq(x[1],x[2]), eq(x[1],x[3]), eq(x[1],x[4]), eq(x[1],x[5]), eq(x[2],x[3]), eq(x[2],x[4]), eq(x[2],x[5]), eq(x[3],x[4]), eq(x[3],x[5]), eq(x[4],x[5])], coeffs:[-2, 9, -2, -4, 3, -1, -1, -2, -4, 10, -2, -4, -2, -4, -8]))\n" ] } ], "source": [ "print(objective())" ] }, { "cell_type": "markdown", "id": "3062aa26", "metadata": {}, "source": [ "We can run the solver, with this optimization task. Note that we need to check that the status returned by the solver is now OPTIMUM. " ] }, { "cell_type": "code", "execution_count": 15, "id": "c35d1953", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "assignment: [0, 1, 2, 2, 0, 0]\n", "objective value: 1\n" ] } ], "source": [ "if solve() is OPTIMUM:\n", " print(\"assignment: \", values(x))\n", " print(f\"objective value: {bound()}\")" ] }, { "cell_type": "markdown", "id": "b64ee584", "metadata": {}, "source": [ "Finally, we give below the model in one piece. Here the data is expected to be given by the user (in a command line)." ] }, { "cell_type": "raw", "id": "30dc8f40", "metadata": { "raw_mimetype": "text/x-python" }, "source": [ "from pycsp3 import *\n", "\n", "graph, together, separate, m = data # m is the maximum number of communities\n", "n = len(graph) # number of nodes\n", "\n", "def modularity_matrix():\n", " degrees = [sum(graph[i]) for i in range(n)] # node degrees\n", " sum_degrees = sum(degrees) # multiplier used to avoid fractions\n", " return [[sum_degrees * graph[i][j] - degrees[i] * degrees[j] for j in range(n)]\n", " for i in range(n)]\n", "\n", "W = modularity_matrix()\n", "\n", "# x[i] is the community of the ith node\n", "x = VarArray(size=n, dom=range(m))\n", "\n", "satisfy(\n", " # considering nodes that must belong to the same community\n", " [x[i] == x[j] for i, j in together],\n", "\n", " # considering nodes that must not belong to the same community\n", " [x[i] != x[j] for i, j in separate],\n", "\n", " # tag(symmetry-breaking)\n", " Precedence(x)\n", ")\n", "\n", "maximize(\n", " Sum((x[i] == x[j]) * W[i][j] for i, j in combinations(n, 2) if W[i][j] != 0)\n", ")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.7.12" } }, "nbformat": 4, "nbformat_minor": 5 }