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yogabonito/demo_AZP-SA.ipynb

Created July 31, 2017 12:13
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"Improved" Simulated Annealing variant of AZP
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demo_AZP-SA.ipynb
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# AZP-SA demo"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The stopping condition of the simulated annealing variant of the AZP as described on pp. 430-431 in Openshaw & Rao (1995) has an issue. If there are equally good clusterings and each AZP-step (step b in the description) jumps from one to another, then there are no nonmoving steps which are required for the algorithm to terminate. That's why the implementation in [commit ee3f08f44](https://github.com/yogabonito/region/commit/ee3f08f441f7367204fc2d1d391e7e3bedacdc80) doesn't terminate in [example 3](#Example-3:-A-tricky-toy-example) below.\n",
"\n",
"In [commit 9502645](https://github.com/yogabonito/region/commit/95026456a70b3cfb7e4454d808c087afde314685) we have added an additional termination condition which allows the `fit` method to return even in [example 3](#Example-3:-A-tricky-toy-example) below."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from region.azp import *"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"from matplotlib import pyplot as plt\n",
"import pandas as pd\n",
"import geopandas as gpd\n",
"from shapely.geometry import Polygon"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Example 1: 3x3 lattice"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Inputs"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x7ffab5eeaac8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"geometry = [\n",
" Polygon([(x, y),\n",
" (x, y+1),\n",
" (x+1, y+1),\n",
" (x+1, y)]) for y in range(3) for x in range(3)\n",
"]\n",
"\n",
"areas_gdf = gpd.GeoDataFrame(\n",
" {\"values\": [726.7, 623.6, 487.3,\n",
" 200.4, 245.0, 481.0,\n",
" 170.9, 225.9, 226.9]},\n",
" geometry=geometry)\n",
"areas_gdf.plot(column=\"values\")\n",
"plt.gca().invert_yaxis()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Clustering"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### &nbsp;&nbsp;&nbsp;&nbsp;without initial solution"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"############################################################\n",
"############################################################\n",
"############################################################\n",
"############################################################\n",
"############################################################\n",
"STEP A\n",
"############################################################\n",
"############################################################\n",
"STEP B\n",
"generate_initial_sol got a <class 'networkx.classes.graph.Graph'>\n",
"step 1\n",
"distribute_regions_among_components got a <class 'networkx.classes.graph.Graph'>\n",
"{<networkx.classes.graph.Graph object at 0x7ffab5f497b8>: 2}\n",
"Init with: [{0, 3}, {1, 2, 4, 5, 6, 7, 8}]\n",
"obj_val: inf --> 4796.3 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 4796.3\n",
"[{0, 3}, {1, 2, 4, 5, 6, 7, 8}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 6 from {1, 2, 4, 5, 6, 7, 8} to {0, 3}\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 1 from {1, 2, 4, 5, 7, 8} to {0, 3, 6}\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 5 loop\n",
"obj_val: 4796.3 --> 3644.4 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 3644.4\n",
"[{0, 1, 3, 6}, {2, 4, 5, 7, 8}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 5 loop\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 6 from {0, 1, 3, 6} to {2, 4, 5, 7, 8}\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 3 from {0, 1, 3} to {2, 4, 5, 6, 7, 8}\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"obj_val: 3644.4 --> 3162.1 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 3162.1\n",
"[{0, 1}, {2, 3, 4, 5, 6, 7, 8}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 2 from {2, 3, 4, 5, 6, 7, 8} to {0, 1}\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 5 from {3, 4, 5, 6, 7, 8} to {0, 1, 2}\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 5 loop\n",
"obj_val: 3162.1 --> 1222.8 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 1222.8\n",
"[{0, 1, 2, 5}, {3, 4, 6, 7, 8}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 5 loop\n",
"RETURN: [{0, 1, 2, 5}, {3, 4, 6, 7, 8}]\n",
"old_sol None\n",
"new_sol {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1}\n",
"{<networkx.classes.graph.Graph object at 0x7ffab5da06d8>: 2}\n",
"Init with: [{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"obj_val: inf --> 1222.8 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 1222.8\n",
"[{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 5 loop\n",
"RETURN: [{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"old_sol {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1}\n",
"new_sol {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1}\n",
"EQUAL\n",
"BREAK\n",
"visited []\n",
"{0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1}\n",
"############################################################\n",
"############################################################\n",
"STEP C\n",
"MOVE MADE\n",
"dict_values([0, 0, 0, 1, 1, 0, 1, 1, 1])\n",
"dict_values([0, 0, 0, 1, 1, 0, 1, 1, 1])\n",
"############################################################\n",
"############################################################\n",
"STEP B\n",
"{<networkx.classes.graph.Graph object at 0x7ffab5da0320>: 2}\n",
"Init with: [{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"obj_val: inf --> 1222.8 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 1222.8\n",
"[{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 5 loop\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"RETURN: [{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"old_sol {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1}\n",
"new_sol {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1}\n",
"EQUAL\n",
"BREAK\n",
"visited [{frozenset({8, 3, 4, 6, 7}), frozenset({0, 1, 2, 5})}]\n",
"{0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1}\n",
"############################################################\n",
"############################################################\n",
"STEP C\n",
"NO MOVE MADE\n",
"dict_values([0, 0, 0, 1, 1, 0, 1, 1, 1])\n",
"dict_values([0, 0, 0, 1, 1, 0, 1, 1, 1])\n",
"############################################################\n",
"############################################################\n",
"STEP B\n",
"{<networkx.classes.graph.Graph object at 0x7ffab5daf6d8>: 2}\n",
"Init with: [{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"obj_val: inf --> 1222.8 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 1222.8\n",
"[{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 5 loop\n",
"RETURN: [{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"old_sol {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1}\n",
"new_sol {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1}\n",
"EQUAL\n",
"BREAK\n",
"visited [{frozenset({8, 3, 4, 6, 7}), frozenset({0, 1, 2, 5})}, {frozenset({8, 3, 4, 6, 7}), frozenset({0, 1, 2, 5})}]\n",
"{0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1}\n",
"############################################################\n",
"############################################################\n",
"STEP C\n",
"NO MOVE MADE\n",
"dict_values([0, 0, 0, 1, 1, 0, 1, 1, 1])\n",
"dict_values([0, 0, 0, 1, 1, 0, 1, 1, 1])\n",
"############################################################\n",
"############################################################\n",
"STEP B\n",
"{<networkx.classes.graph.Graph object at 0x7ffab5daf898>: 2}\n",
"Init with: [{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"obj_val: inf --> 1222.8 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 1222.8\n",
"[{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 5 loop\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"RETURN: [{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"old_sol {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1}\n",
"new_sol {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1}\n",
"EQUAL\n",
"BREAK\n",
"visited [{frozenset({8, 3, 4, 6, 7}), frozenset({0, 1, 2, 5})}, {frozenset({8, 3, 4, 6, 7}), frozenset({0, 1, 2, 5})}, {frozenset({8, 3, 4, 6, 7}), frozenset({0, 1, 2, 5})}]\n",
"{0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1}\n",
"############################################################\n",
"############################################################\n",
"STEP C\n",
"NO MOVE MADE\n",
"dict_values([0, 0, 0, 1, 1, 0, 1, 1, 1])\n",
"dict_values([0, 0, 0, 1, 1, 0, 1, 1, 1])\n"
]
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x7ffab5dafb70>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"azpsa = AZPSimulatedAnnealing(n_regions=2, init_temperature=1, #max_iterations=2,\n",
" random_state=0)\n",
"regions_dict_sa_wo = azpsa.fit(areas=areas_gdf,\n",
" data=[\"values\"],\n",
" contiguity=\"rook\",\n",
" cooling_factor=0.85)\n",
"areas_gdf[\"region\"] = pd.Series(regions_dict_sa_wo)\n",
"areas_gdf.plot(column=\"region\", cmap='tab20c')\n",
"plt.gca().invert_yaxis()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Example 2: Islands"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"islands_geometry = [\n",
" Polygon([(x, y),\n",
" (x, y+1),\n",
" (x+1, y+1),\n",
" (x+1, y)]) for y in range(3) for x in range(3)\n",
"] + [\n",
" Polygon([(x, y),\n",
" (x, y+1),\n",
" (x+1, y+1),\n",
" (x+1, y)]) for y in range(4,6) for x in range(5,8)\n",
"]"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"islands_gdf = gpd.GeoDataFrame(\n",
" {\"values\": [726.7, 623.6, 487.3,\n",
" 200.4, 245.0, 481.0,\n",
" 170.9, 225.9, 226.9] +\n",
" [100, 120, 190,\n",
" 175, 185, 210]},\n",
" geometry=islands_geometry)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x7ffab5f18e10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"islands_gdf.plot(column=\"values\")\n",
"plt.gca().invert_yaxis()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Clustering: AZP-SA"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### &nbsp;&nbsp;&nbsp;&nbsp;without initial solution"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"############################################################\n",
"############################################################\n",
"############################################################\n",
"############################################################\n",
"############################################################\n",
"STEP A\n",
"############################################################\n",
"############################################################\n",
"STEP B\n",
"generate_initial_sol got a <class 'networkx.classes.graph.Graph'>\n",
"step 1\n",
"distribute_regions_among_components got a <class 'networkx.classes.graph.Graph'>\n",
"{<networkx.classes.graph.Graph object at 0x7ffaf05e3400>: 2, <networkx.classes.graph.Graph object at 0x7ffab5f46cf8>: 1}\n",
"Init with: [{0, 3}, {1, 2, 4, 5, 6, 7, 8}]\n",
"obj_val: inf --> 4796.3 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 4796.3\n",
"[{0, 3}, {1, 2, 4, 5, 6, 7, 8}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 6 from {1, 2, 4, 5, 6, 7, 8} to {0, 3}\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 1 from {1, 2, 4, 5, 7, 8} to {0, 3, 6}\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 5 loop\n",
"obj_val: 4796.3 --> 3644.4 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 3644.4\n",
"[{0, 1, 3, 6}, {2, 4, 5, 7, 8}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 5 loop\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 6 from {0, 1, 3, 6} to {2, 4, 5, 7, 8}\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 3 from {0, 1, 3} to {2, 4, 5, 6, 7, 8}\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"obj_val: 3644.4 --> 3162.1 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 3162.1\n",
"[{0, 1}, {2, 3, 4, 5, 6, 7, 8}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 2 from {2, 3, 4, 5, 6, 7, 8} to {0, 1}\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 5 from {3, 4, 5, 6, 7, 8} to {0, 1, 2}\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 5 loop\n",
"obj_val: 3162.1 --> 1222.8 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 1222.8\n",
"[{0, 1, 2, 5}, {3, 4, 6, 7, 8}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 5 loop\n",
"RETURN: [{0, 1, 2, 5}, {3, 4, 6, 7, 8}]\n",
"old_sol None\n",
"new_sol {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1, 9: 2, 10: 2, 11: 2, 12: 2, 13: 2, 14: 2}\n",
"{<networkx.classes.graph.Graph object at 0x7ffab5ddde80>: 2, <networkx.classes.graph.Graph object at 0x7ffab5dddeb8>: 1}\n",
"Init with: [{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"obj_val: inf --> 1222.8 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 1222.8\n",
"[{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 5 loop\n",
"RETURN: [{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"old_sol {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1, 9: 2, 10: 2, 11: 2, 12: 2, 13: 2, 14: 2}\n",
"new_sol {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1, 9: 2, 10: 2, 11: 2, 12: 2, 13: 2, 14: 2}\n",
"EQUAL\n",
"BREAK\n",
"visited []\n",
"{0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1, 9: 2, 10: 2, 11: 2, 12: 2, 13: 2, 14: 2}\n",
"############################################################\n",
"############################################################\n",
"STEP C\n",
"MOVE MADE\n",
"dict_values([0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2])\n",
"dict_values([0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2])\n",
"############################################################\n",
"############################################################\n",
"STEP B\n",
"{<networkx.classes.graph.Graph object at 0x7ffab5ddde80>: 2, <networkx.classes.graph.Graph object at 0x7ffab5dddf60>: 1}\n",
"Init with: [{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"obj_val: inf --> 1222.8 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 1222.8\n",
"[{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 5 loop\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"RETURN: [{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"old_sol {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1, 9: 2, 10: 2, 11: 2, 12: 2, 13: 2, 14: 2}\n",
"new_sol {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1, 9: 2, 10: 2, 11: 2, 12: 2, 13: 2, 14: 2}\n",
"EQUAL\n",
"BREAK\n",
"visited [{frozenset({8, 3, 4, 6, 7}), frozenset({9, 10, 11, 12, 13, 14}), frozenset({0, 1, 2, 5})}]\n",
"{0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1, 9: 2, 10: 2, 11: 2, 12: 2, 13: 2, 14: 2}\n",
"############################################################\n",
"############################################################\n",
"STEP C\n",
"NO MOVE MADE\n",
"dict_values([0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2])\n",
"dict_values([0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2])\n",
"############################################################\n",
"############################################################\n",
"STEP B\n",
"{<networkx.classes.graph.Graph object at 0x7ffab2503a20>: 2, <networkx.classes.graph.Graph object at 0x7ffab2503f60>: 1}\n",
"Init with: [{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"obj_val: inf --> 1222.8 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 1222.8\n",
"[{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 5 loop\n",
"RETURN: [{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"old_sol {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1, 9: 2, 10: 2, 11: 2, 12: 2, 13: 2, 14: 2}\n",
"new_sol {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1, 9: 2, 10: 2, 11: 2, 12: 2, 13: 2, 14: 2}\n",
"EQUAL\n",
"BREAK\n",
"visited [{frozenset({8, 3, 4, 6, 7}), frozenset({9, 10, 11, 12, 13, 14}), frozenset({0, 1, 2, 5})}, {frozenset({8, 3, 4, 6, 7}), frozenset({9, 10, 11, 12, 13, 14}), frozenset({0, 1, 2, 5})}]\n",
"{0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1, 9: 2, 10: 2, 11: 2, 12: 2, 13: 2, 14: 2}\n",
"############################################################\n",
"############################################################\n",
"STEP C\n",
"NO MOVE MADE\n",
"dict_values([0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2])\n",
"dict_values([0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2])\n",
"############################################################\n",
"############################################################\n",
"STEP B\n",
"{<networkx.classes.graph.Graph object at 0x7ffab5ed29b0>: 2, <networkx.classes.graph.Graph object at 0x7ffab5ed2eb8>: 1}\n",
"Init with: [{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"obj_val: inf --> 1222.8 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 1222.8\n",
"[{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"step 5 loop\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
"step 5 loop\n",
"RETURN: [{0, 1, 2, 5}, {8, 3, 4, 6, 7}]\n",
"old_sol {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1, 9: 2, 10: 2, 11: 2, 12: 2, 13: 2, 14: 2}\n",
"new_sol {0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1, 9: 2, 10: 2, 11: 2, 12: 2, 13: 2, 14: 2}\n",
"EQUAL\n",
"BREAK\n",
"visited [{frozenset({8, 3, 4, 6, 7}), frozenset({9, 10, 11, 12, 13, 14}), frozenset({0, 1, 2, 5})}, {frozenset({8, 3, 4, 6, 7}), frozenset({9, 10, 11, 12, 13, 14}), frozenset({0, 1, 2, 5})}, {frozenset({8, 3, 4, 6, 7}), frozenset({9, 10, 11, 12, 13, 14}), frozenset({0, 1, 2, 5})}]\n",
"{0: 0, 1: 0, 2: 0, 3: 1, 4: 1, 5: 0, 6: 1, 7: 1, 8: 1, 9: 2, 10: 2, 11: 2, 12: 2, 13: 2, 14: 2}\n",
"############################################################\n",
"############################################################\n",
"STEP C\n",
"NO MOVE MADE\n",
"dict_values([0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2])\n",
"dict_values([0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2])\n"
]
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x7ffab5ed29b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"azpsa = AZPSimulatedAnnealing(n_regions=3, init_temperature=1, max_iterations=2,\n",
" random_state=0)\n",
"islands_dict_sa_wo = azpsa.fit(areas=islands_gdf,\n",
" data=[\"values\"],\n",
" contiguity=\"rook\",\n",
" cooling_factor=0.85)\n",
"islands_gdf[\"region\"] = pd.Series(islands_dict_sa_wo)\n",
"islands_gdf.plot(column=\"region\", cmap='tab20c')\n",
"plt.gca().invert_yaxis()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Example 3: A tricky toy example"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Inputs"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7ffab5f27cc0>"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAACSCAYAAACpHBqyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nGKteEXakAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ffab5f49080>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"squares = [\n",
" Polygon([(x, 0),\n",
" (x, 1),\n",
" (x+1, 1),\n",
" (x+1, 0)]) for x in range(3)\n",
"]\n",
"values = [0, 1, 0]\n",
"squares_gdf = gpd.GeoDataFrame({\"values\": values},\n",
" geometry=squares)\n",
"squares_gdf.plot(column=\"values\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Clustering"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"############################################################\n",
"############################################################\n",
"############################################################\n",
"############################################################\n",
"############################################################\n",
"STEP A\n",
"############################################################\n",
"############################################################\n",
"STEP B\n",
"generate_initial_sol got a <class 'networkx.classes.graph.Graph'>\n",
"step 1\n",
"distribute_regions_among_components got a <class 'networkx.classes.graph.Graph'>\n",
"{<networkx.classes.graph.Graph object at 0x7ffab2509240>: 2}\n",
"Init with: [{0, 1}, {2}]\n",
"obj_val: inf --> 1.0 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 1.0\n",
"[{0, 1}, {2}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 1 from {0, 1} to {2}\n",
"step 4\n",
"step 5\n",
"RETURN: [{0}, {1, 2}]\n",
"old_sol None\n",
"new_sol {0: 0, 1: 1, 2: 1}\n",
"{<networkx.classes.graph.Graph object at 0x7ffab2570c18>: 2}\n",
"Init with: [{0}, {1, 2}]\n",
"obj_val: inf --> 1.0 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 1.0\n",
"[{0}, {1, 2}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 1 from {1, 2} to {0}\n",
"step 4\n",
"step 5\n",
"RETURN: [{0, 1}, {2}]\n",
"old_sol {0: 0, 1: 1, 2: 1}\n",
"new_sol {0: 0, 1: 0, 2: 1}\n",
"NOT EQUAL\n",
"{<networkx.classes.graph.Graph object at 0x7ffab2444a20>: 2}\n",
"Init with: [{0, 1}, {2}]\n",
"obj_val: inf --> 1.0 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 1.0\n",
"[{0, 1}, {2}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 1 from {0, 1} to {2}\n",
"step 4\n",
"step 5\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 1 from {1, 2} to {0}\n",
"step 4\n",
"step 5\n",
"RETURN: [{0, 1}, {2}]\n",
"old_sol {0: 0, 1: 0, 2: 1}\n",
"new_sol {0: 0, 1: 0, 2: 1}\n",
"EQUAL\n",
"BREAK\n",
"visited []\n",
"{0: 0, 1: 0, 2: 1}\n",
"############################################################\n",
"############################################################\n",
"STEP C\n",
"MOVE MADE\n",
"dict_values([0, 0, 1])\n",
"dict_values([0, 0, 1])\n",
"############################################################\n",
"############################################################\n",
"STEP B\n",
"{<networkx.classes.graph.Graph object at 0x7ffab2472080>: 2}\n",
"Init with: [{0, 1}, {2}]\n",
"obj_val: inf --> 1.0 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 1.0\n",
"[{0, 1}, {2}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 1 from {0, 1} to {2}\n",
"step 4\n",
"step 5\n",
"RETURN: [{0}, {1, 2}]\n",
"old_sol {0: 0, 1: 0, 2: 1}\n",
"new_sol {0: 0, 1: 1, 2: 1}\n",
"NOT EQUAL\n",
"{<networkx.classes.graph.Graph object at 0x7ffab2472320>: 2}\n",
"Init with: [{0}, {1, 2}]\n",
"obj_val: inf --> 1.0 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 1.0\n",
"[{0}, {1, 2}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 1 from {1, 2} to {0}\n",
"step 4\n",
"step 5\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 1 from {0, 1} to {2}\n",
"step 4\n",
"step 5\n",
"RETURN: [{0}, {1, 2}]\n",
"old_sol {0: 0, 1: 1, 2: 1}\n",
"new_sol {0: 0, 1: 1, 2: 1}\n",
"EQUAL\n",
"BREAK\n",
"visited [{frozenset({2}), frozenset({0, 1})}]\n",
"{0: 0, 1: 1, 2: 1}\n",
"############################################################\n",
"############################################################\n",
"STEP C\n",
"MOVE MADE\n",
"dict_values([0, 1, 1])\n",
"dict_values([0, 1, 1])\n",
"############################################################\n",
"############################################################\n",
"STEP B\n",
"{<networkx.classes.graph.Graph object at 0x7ffab24722b0>: 2}\n",
"Init with: [{0}, {1, 2}]\n",
"obj_val: inf --> 1.0 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 1.0\n",
"[{0}, {1, 2}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 1 from {1, 2} to {0}\n",
"step 4\n",
"step 5\n",
"RETURN: [{0, 1}, {2}]\n",
"old_sol {0: 0, 1: 1, 2: 1}\n",
"new_sol {0: 0, 1: 0, 2: 1}\n",
"NOT EQUAL\n",
"{<networkx.classes.graph.Graph object at 0x7ffab246d5c0>: 2}\n",
"Init with: [{0, 1}, {2}]\n",
"obj_val: inf --> 1.0 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 1.0\n",
"[{0, 1}, {2}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 1 from {0, 1} to {2}\n",
"step 4\n",
"step 5\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 1 from {1, 2} to {0}\n",
"step 4\n",
"step 5\n",
"RETURN: [{0, 1}, {2}]\n",
"old_sol {0: 0, 1: 0, 2: 1}\n",
"new_sol {0: 0, 1: 0, 2: 1}\n",
"EQUAL\n",
"BREAK\n",
"visited [{frozenset({2}), frozenset({0, 1})}, {frozenset({1, 2}), frozenset({0})}]\n",
"{0: 0, 1: 0, 2: 1}\n",
"############################################################\n",
"############################################################\n",
"STEP C\n",
"MOVE MADE\n",
"dict_values([0, 0, 1])\n",
"dict_values([0, 0, 1])\n",
"############################################################\n",
"############################################################\n",
"STEP B\n",
"{<networkx.classes.graph.Graph object at 0x7ffab243c080>: 2}\n",
"Init with: [{0, 1}, {2}]\n",
"obj_val: inf --> 1.0 ...continue...\n",
"=============================================\n",
"step 2\n",
"obj_value: 1.0\n",
"[{0, 1}, {2}]\n",
"-----------------------------------\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 1 from {0, 1} to {2}\n",
"step 4\n",
"step 5\n",
"step 3\n",
"step 4\n",
"step 5\n",
"step 5 loop\n",
" move 1 from {1, 2} to {0}\n",
"step 4\n",
"step 5\n",
"RETURN: [{0, 1}, {2}]\n",
"old_sol {0: 0, 1: 0, 2: 1}\n",
"new_sol {0: 0, 1: 0, 2: 1}\n",
"EQUAL\n",
"BREAK\n",
"visited [{frozenset({2}), frozenset({0, 1})}, {frozenset({1, 2}), frozenset({0})}, {frozenset({2}), frozenset({0, 1})}]\n",
"{0: 0, 1: 0, 2: 1}\n",
"VISITED {0: 0, 1: 0, 2: 1} FOR 2 TIMES --> TERMINATING.\n"
]
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x7ffab243cc18>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"azpsa = AZPSimulatedAnnealing(n_regions=2, init_temperature=1,\n",
" max_iterations=3, random_state=0,\n",
" repetitions_before_termination=2)\n",
"regions_dict_squares_sa = azpsa.fit(areas=squares_gdf,\n",
" data=[\"values\"],\n",
" contiguity=\"rook\",\n",
" cooling_factor=0.85)\n",
"squares_gdf[\"region\"] = pd.Series(regions_dict_squares_sa)\n",
"squares_gdf.plot(column=\"region\", cmap='tab20c')\n",
"plt.gca().invert_yaxis()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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