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@chancyk
Last active August 29, 2015 14:03
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Dedupe Clustering Behavior
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{
"metadata": {
"name": "",
"signature": "sha256:33f0703c93a1a8359c634f1b2682d705ef7e7705027c07ac76a7ffbca895ca5e"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"import dedupe\n",
"import numpy\n",
"\n",
"# Render the GraphViz PNG.\n",
"from IPython.display import Image\n",
"\n",
"# This captures GraphViz output as PNG file.\n",
"from hierarchymagic import run_dot\n",
"\n",
"cluster = dedupe.clustering.cluster"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def pairs_as_graph(pairs):\n",
" \"\"\" Build the GraphViz dot syntax from the Dedupe scored pair structure. \"\"\"\n",
" graph = ''\n",
" for pair, score in pairs:\n",
" graph += '%s -> %s [label=\"%s\"]; ' % (pair[0], pair[1], score)\n",
"\n",
" graph = 'digraph G {%s}' % graph\n",
"\n",
" return Image(run_dot(graph))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"dupes = numpy.array([((1,2), .99),\n",
" ((1,3), .99), \n",
" ((2,3), .99),\n",
" ((2,4), .99)],\n",
" dtype = [('pairs', 'i4', 2), \n",
" ('score', 'f4', 1)])\n",
" \n",
"dupes2 = numpy.array([((1,2), .99), \n",
" ((2,3), .99),\n",
" ((2,4), .99)],\n",
" dtype = [('pairs', 'i4', 2), \n",
" ('score', 'f4', 1)])\n",
"\n",
"dupes3 = numpy.array([((1,2), .80),\n",
" ((1,3), .80), \n",
" ((2,3), .80),\n",
" ((2,4), .99)],\n",
" dtype = [('pairs', 'i4', 2), \n",
" ('score', 'f4', 1)])\n",
"\n",
"dupes4 = numpy.array([((1,2), .99),\n",
" ((2,3), .99), \n",
" ((3,4), .99)],\n",
" dtype = [('pairs', 'i4', 2), \n",
" ('score', 'f4', 1)])\n",
"\n",
"dupes5 = numpy.array([((1,2), .99),\n",
" ((1,4), .99),\n",
" ((2,3), .99), \n",
" ((3,4), .99)],\n",
" dtype = [('pairs', 'i4', 2), \n",
" ('score', 'f4', 1)])\n",
"\n",
"dupes6 = numpy.array([((1,2), .99),\n",
" ((1,4), .99),\n",
" ((1,3), .99),\n",
" ((2,3), .99),\n",
" ((2,4), .99),\n",
" ((3,4), .99)],\n",
" dtype = [('pairs', 'i4', 2), \n",
" ('score', 'f4', 1)])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# The pairs (1,2), (1,3), and (2,3) are encountered first and are clustered. Since all the\n",
"# scores are the same, the (2,4) pair is insufficient to remove 2 from the cluster.\n",
"print cluster(dupes, 0.5)\n",
"pairs_as_graph(dupes)"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# The (1,2) pair is encountered first so it is the only cluster formed.\n",
"print cluster(dupes2, 0.5)\n",
"pairs_as_graph(dupes2)"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Pair (2,4) is its own cluster since it has a score sufficient to remove it from the potential (1,2,3) cluster.\n",
"print cluster(dupes3, 0.5)\n",
"pairs_as_graph(dupes3)"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Two separate clusters are formed since there are no completely connected graphs.\n",
"print cluster(dupes4, 0.5)\n",
"pairs_as_graph(dupes4)"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Two separate clusters are still formed since there are no compeletely connected graphs, despite the additional edge (1,4).\n",
"print cluster(dupes5, 0.5)\n",
"pairs_as_graph(dupes5)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[set([1, 2]), set([3, 4])]\n"
]
},
{
"metadata": {},
"output_type": "pyout",
"png": 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79+6xltEhegPxHHNzc94k+2oPvYF4jpmZGWpra1nL6BC9gXiOqampvgfS03PM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\nNdDp06fh6enJi5Od3377LV599VXWMtQ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"prompt_number": 8,
"text": [
"<IPython.core.display.Image at 0xcaaee80>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# All 4 nodes are included in the cluster since the graph is completely connected. Each node has an edge to every other node.\n",
"print cluster(dupes6, 0.5)\n",
"pairs_as_graph(dupes6)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[set([1, 2, 3, 4])]\n"
]
},
{
"metadata": {},
"output_type": "pyout",
"png": 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oBACkpqYCAIKCgmQuwyZvNbciIQzEuSlVJSh6VFQUvLy84ObmxrUUAEBhYSGa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\nNWvWYOTIkVzLaXRwYu5BgwahRYsWjPbeqmbuBw8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"prompt_number": 9,
"text": [
"<IPython.core.display.Image at 0xcaaec50>"
]
}
],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"dupes7 = numpy.array([((1,2), .80),\n",
" ((1,3), .80),\n",
" ((1,4), .80),\n",
" ((2,3), .80),\n",
" ((2,4), .80),\n",
" ((3,4), .80),\n",
" ((4,5), .80),\n",
" ((4,6), .80),\n",
" ((5,6), .81)],\n",
" dtype = [('pairs', 'i4', 2), \n",
" ('score', 'f4', 1)])\n",
"\n",
"print cluster(dupes7, 0.5)\n",
"pairs_as_graph(dupes7)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[set([4, 5, 6]), set([1, 2, 3])]\n"
]
},
{
"metadata": {},
"output_type": "pyout",
"png": 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qIBKJqn2dD7muBw4ciJiYGNYy6k1eXh4yMjIAVKTzlWJtbQ0AuHjxYq3XBwUF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\njnsMLwqOe8z/B4U90m/u9GNZAAAAAElFTkSuQmCC\n",
"prompt_number": 13,
"text": [
"<IPython.core.display.Image at 0xcc14908>"
]
}
],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"dupes8 = numpy.array([((1,2), .99),\n",
" ((1,3), .51),\n",
" ((1,4), .51),\n",
" ((2,3), .51),\n",
" ((2,4), .51),\n",
" ((3,4), .51),\n",
" ((4,5), .80),\n",
" ((4,6), .80),\n",
" ((5,6), .81)],\n",
" dtype = [('pairs', 'i4', 2), \n",
" ('score', 'f4', 1)])\n",
"\n",
"print cluster(dupes8, 0.5)\n",
"pairs_as_graph(dupes8)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[set([4, 5, 6]), set([1, 2, 3])]\n"
]
},
{
"metadata": {},
"output_type": "pyout",
"png": 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KhUq7HvWeoVJSUlBWVsapyQjpoqqrqytlJUC3bt1w584d2jKahFAolP1uamoK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"prompt_number": 28,
"text": [
"<IPython.core.display.Image at 0xcbf3390>"
]
}
],
"prompt_number": 28
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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