def testFindAllSimilarityFromNodeOnPathSimExampleThree(self):
        """
          Tests similarity for all other nodes given a signle node, using example 3 from PathSim paper
        """

        graph, authorMap, conferenceMap  = SampleGraphUtility.constructPathSimExampleThree()
        strategy = PageRankStrategy(graph)

        mike = authorMap['Mike']
        mostSimilarNodes = strategy.findMostSimilarNodes(mike, 1)

        self.assertEquals([authorMap['Ann']], mostSimilarNodes)
Esempio n. 2
0
    def testFindAllSimilarityFromNodeOnPathSimExampleThree(self):
        """
          Tests similarity for all other nodes given a signle node, using example 3 from PathSim paper
        """

        graph, authorMap, conferenceMap = SampleGraphUtility.constructPathSimExampleThree(
        )
        strategy = PageRankStrategy(graph)

        mike = authorMap['Mike']
        mostSimilarNodes = strategy.findMostSimilarNodes(mike, 1)

        self.assertEquals([authorMap['Ann']], mostSimilarNodes)
    def testFindAllSimilarityFromNodeOnPathSimExampleThree(self):
        """
          Tests similarity for all other nodes given a single node, using example 3 from PathSim paper
        """

        graph, authorMap, conferenceMap  = SampleGraphUtility.constructPathSimExampleThree()
        metaPath = [Author, Paper, Conference, Paper, Author]
        strategy = PathSimStrategy(graph, metaPath)

        mike = authorMap['Mike']
        mostSimilarNodes = strategy.findMostSimilarNodes(mike, 5)

        self.assertEquals([authorMap['Bob'], authorMap['Mary'], authorMap['Jim']], mostSimilarNodes)
    def testFindAllSimilarityFromNodeOnPathSimExampleThree(self):
        """
          Tests similarity for all other nodes given a single node, using example 3 from PathSim paper
        """

        graph, authorMap, conferenceMap = SampleGraphUtility.constructPathSimExampleThree(
        )
        metaPath = [Author, Paper, Conference, Paper, Author]
        strategy = PathSimStrategy(graph, metaPath)

        mike = authorMap['Mike']
        mostSimilarNodes = strategy.findMostSimilarNodes(mike, 5)

        self.assertEquals(
            [authorMap['Bob'], authorMap['Mary'], authorMap['Jim']],
            mostSimilarNodes)
    def testFindSingleSimilarityPathSimExampleThree(self):
        """
          Tests pairwise similarity for nodes, using example 3 from PathSim paper (compute similarity scores from Mike)
        """

        graph, authorMap, conferenceMap  = SampleGraphUtility.constructPathSimExampleThree()
        metaPath = [Author, Paper, Conference, Paper, Author]
        strategy = PathSimStrategy(graph, metaPath)

        mike = authorMap['Mike']
        jimScore, maryScore, bobScore, annScore = strategy.findSimilarityScores(
            mike, [authorMap['Jim'], authorMap['Mary'], authorMap['Bob'], authorMap['Ann']]
        )

        self.assertEquals(bobScore, max([jimScore, maryScore, bobScore, annScore]))
        self.assertEquals(annScore, 0)
    def testFindSingleSimilarityPathSimExampleThree(self):
        """
          Tests pairwise similarity for nodes, using example 3 from PathSim paper (compute similarity scores from Mike)
        """

        graph, authorMap, conferenceMap  = SampleGraphUtility.constructPathSimExampleThree()
        strategy = PageRankStrategy(graph)

        mike = authorMap['Mike']
        jimScore = strategy.findSimilarityScore(mike, authorMap['Jim'])
        maryScore = strategy.findSimilarityScore(mike, authorMap['Mary'])
        bobScore = strategy.findSimilarityScore(mike, authorMap['Bob'])
        annScore = strategy.findSimilarityScore(mike, authorMap['Ann'])

        self.assertTrue(annScore >= maryScore)
        self.assertTrue(annScore >= jimScore)
        self.assertTrue(annScore >= bobScore)
Esempio n. 7
0
    def testFindSingleSimilarityPathSimExampleThree(self):
        """
          Tests pairwise similarity for nodes, using example 3 from PathSim paper (compute similarity scores from Mike)
        """

        graph, authorMap, conferenceMap = SampleGraphUtility.constructPathSimExampleThree(
        )
        strategy = PageRankStrategy(graph)

        mike = authorMap['Mike']
        jimScore = strategy.findSimilarityScore(mike, authorMap['Jim'])
        maryScore = strategy.findSimilarityScore(mike, authorMap['Mary'])
        bobScore = strategy.findSimilarityScore(mike, authorMap['Bob'])
        annScore = strategy.findSimilarityScore(mike, authorMap['Ann'])

        self.assertTrue(annScore >= maryScore)
        self.assertTrue(annScore >= jimScore)
        self.assertTrue(annScore >= bobScore)
    def testFindSingleSimilarityPathSimExampleThree(self):
        """
          Tests pairwise similarity for nodes, using example 3 from PathSim paper (compute similarity scores from Mike)
        """

        graph, authorMap, conferenceMap = SampleGraphUtility.constructPathSimExampleThree(
        )
        metaPath = [Author, Paper, Conference, Paper, Author]
        strategy = PathSimStrategy(graph, metaPath)

        mike = authorMap['Mike']
        jimScore, maryScore, bobScore, annScore = strategy.findSimilarityScores(
            mike, [
                authorMap['Jim'], authorMap['Mary'], authorMap['Bob'],
                authorMap['Ann']
            ])

        self.assertEquals(bobScore,
                          max([jimScore, maryScore, bobScore, annScore]))
        self.assertEquals(annScore, 0)
    def testConstructPathSimExampleThree(self):
        """
          Tests the construction of "Example 3" from PathSim paper. Specifically, checks adjacency matrix shown in
          this example for Author-Paper-Conference meta paths.
        """

        graph, authorMap, conferenceMap = SampleGraphUtility.constructPathSimExampleThree()
        metaPath = [Author, Paper, Conference]

        metaPathUtility = EdgeBasedMetaPathUtility()

        # Mike's adjacency to conferences
        self.assertEquals(2, len(metaPathUtility.findMetaPaths(graph, authorMap['Mike'], conferenceMap['SIGMOD'], metaPath)))
        self.assertEquals(1, len(metaPathUtility.findMetaPaths(graph, authorMap['Mike'], conferenceMap['VLDB'], metaPath)))
        self.assertEquals(0, len(metaPathUtility.findMetaPaths(graph, authorMap['Mike'], conferenceMap['ICDE'], metaPath)))
        self.assertEquals(0, len(metaPathUtility.findMetaPaths(graph, authorMap['Mike'], conferenceMap['KDD'], metaPath)))

        # Jim's adjacency to conferences
        self.assertEquals(50, len(metaPathUtility.findMetaPaths(graph, authorMap['Jim'], conferenceMap['SIGMOD'], metaPath)))
        self.assertEquals(20, len(metaPathUtility.findMetaPaths(graph, authorMap['Jim'], conferenceMap['VLDB'], metaPath)))
        self.assertEquals(0, len(metaPathUtility.findMetaPaths(graph, authorMap['Jim'], conferenceMap['ICDE'], metaPath)))
        self.assertEquals(0, len(metaPathUtility.findMetaPaths(graph, authorMap['Jim'], conferenceMap['KDD'], metaPath)))

        # Mary's adjacency to conferences
        self.assertEquals(2, len(metaPathUtility.findMetaPaths(graph, authorMap['Mary'], conferenceMap['SIGMOD'], metaPath)))
        self.assertEquals(0, len(metaPathUtility.findMetaPaths(graph, authorMap['Mary'], conferenceMap['VLDB'], metaPath)))
        self.assertEquals(1, len(metaPathUtility.findMetaPaths(graph, authorMap['Mary'], conferenceMap['ICDE'], metaPath)))
        self.assertEquals(0, len(metaPathUtility.findMetaPaths(graph, authorMap['Mary'], conferenceMap['KDD'], metaPath)))

        # Bob's adjacency to conferences
        self.assertEquals(2, len(metaPathUtility.findMetaPaths(graph, authorMap['Bob'], conferenceMap['SIGMOD'], metaPath)))
        self.assertEquals(1, len(metaPathUtility.findMetaPaths(graph, authorMap['Bob'], conferenceMap['VLDB'], metaPath)))
        self.assertEquals(0, len(metaPathUtility.findMetaPaths(graph, authorMap['Bob'], conferenceMap['ICDE'], metaPath)))
        self.assertEquals(0, len(metaPathUtility.findMetaPaths(graph, authorMap['Bob'], conferenceMap['KDD'], metaPath)))

        # Ann's adjacency to conferences
        self.assertEquals(0, len(metaPathUtility.findMetaPaths(graph, authorMap['Ann'], conferenceMap['SIGMOD'], metaPath)))
        self.assertEquals(0, len(metaPathUtility.findMetaPaths(graph, authorMap['Ann'], conferenceMap['VLDB'], metaPath)))
        self.assertEquals(1, len(metaPathUtility.findMetaPaths(graph, authorMap['Ann'], conferenceMap['ICDE'], metaPath)))
        self.assertEquals(1, len(metaPathUtility.findMetaPaths(graph, authorMap['Ann'], conferenceMap['KDD'], metaPath)))
    def run(self):

        citationMap = {
            'Mike': {
                'Mike': 0,
                'Jim': 0,
                'Mary': 0,
                'Bob': 0,
                'Ann': 0,
                'Joe': 0,
                'Nancy': 0
            },
            'Jim': {
                'Mike': 20,
                'Jim': 0,
                'Mary': 20,
                'Bob': 20,
                'Ann': 0,
                'Joe': 20,
                'Nancy': 0
            },
            'Mary': {
                'Mike': 1,
                'Jim': 10,
                'Mary': 0,
                'Bob': 1,
                'Ann': 0,
                'Joe': 1,
                'Nancy': 0
            },
            'Bob': {
                'Mike': 1,
                'Jim': 10,
                'Mary': 1,
                'Bob': 0,
                'Ann': 0,
                'Joe': 1,
                'Nancy': 0
            },
            'Ann': {
                'Mike': 0,
                'Jim': 0,
                'Mary': 0,
                'Bob': 0,
                'Ann': 0,
                'Joe': 0,
                'Nancy': 0
            },
            'Joe': {
                'Mike': 0,
                'Jim': 0,
                'Mary': 0,
                'Bob': 0,
                'Ann': 0,
                'Joe': 0,
                'Nancy': 0
            },
            'Nancy': {
                'Mike': 1,
                'Jim': 10,
                'Mary': 1,
                'Bob': 1,
                'Ann': 0,
                'Joe': 1,
                'Nancy': 0
            }
        }

        self.graph, authorMap, conferenceMap =\
            SampleGraphUtility.constructPathSimExampleThree(extraAuthorsAndCitations=True, citationMap = citationMap)

        # Get the nodes we care about
        conferences = [
            conferenceMap['SIGMOD'], conferenceMap['VLDB'],
            conferenceMap['ICDE'], conferenceMap['KDD']
        ]
        authors = [
            authorMap['Mike'],
            authorMap['Jim'],
            authorMap['Mary'],
            authorMap['Bob'],
            authorMap['Ann'],
            authorMap['Joe'],
            authorMap['Nancy'],
        ]
        metaPathUtility = EdgeBasedMetaPathUtility()

        # Project a 2-typed heterogeneous graph over adapted PathSim example
        publicationProjectedGraph = metaPathUtility.createHeterogeneousProjection(
            self.graph, [Author, Paper, Conference], symmetric=True)
        self.output('\nAdjacency Matrix (Projected):')
        adjMatrixTable = texttable.Texttable()
        rows = [['Author'] + [conference.name for conference in conferences]]
        rows += [[author.name] + [
            publicationProjectedGraph.getNumberOfEdges(author, conference)
            for conference in conferences
        ] for author in authors]
        adjMatrixTable.add_rows(rows)
        self.output(adjMatrixTable.draw())

        # Project a homogeneous citation graph over adapted PathSim example
        citationProjectedGraph = metaPathUtility.createHomogeneousProjection(
            self.graph, [Author, Paper, Paper, Author])
        self.output('\nCitation Matrix:')
        adjMatrixTable = texttable.Texttable()
        rows = [['Author'] + [author.name for author in authors]]
        rows += [[author.name] + [
            citationProjectedGraph.getNumberOfEdges(author, otherAuthor)
            for otherAuthor in authors
        ] for author in authors]
        adjMatrixTable.add_rows(rows)
        self.output(adjMatrixTable.draw())

        # Output total out/in citations
        self.output('\nCitations Total:')
        totalCitationsTable = texttable.Texttable()
        rows = [['Author', 'In', 'Out']]
        for author in authors:
            inCount = sum(
                citationProjectedGraph.getNumberOfEdges(otherAuthor, author)
                for otherAuthor in authors)
            outCount = sum(
                citationProjectedGraph.getNumberOfEdges(author, otherAuthor)
                for otherAuthor in authors)
            rows += [[author.name, inCount, outCount]]
        totalCitationsTable.add_rows(rows)
        self.output(totalCitationsTable.draw())

        # Get PathSim similarity scores
        pathSimStrategy = PathSimStrategy(
            self.graph, [Author, Paper, Conference, Paper, Author], True)
        self.outputSimilarityScores(authorMap, authors, pathSimStrategy,
                                    'APCPA PathSim')

        # Output SimRank-related scores
        strategy = SimRankStrategy(self.graph, [Author, Paper, Paper, Author],
                                   symmetric=True)
        self.outputSimilarityScores(authorMap, authors, strategy, "SimRank")

        # Output the projected PageRank/HITS similarity scores
        for name, algorithm in zip(
            ['PageRank', 'HITS'],
            [PageRankDistanceStrategy, HITSDistanceStrategy]):
            strategy = algorithm(self.graph, [Author, Paper, Paper, Author],
                                 symmetric=True)
            self.outputSimilarityScores(authorMap, authors, strategy,
                                        "%s-Distance" % name)

        # Get NeighborSim similarity scores
        inNeighborSimStrategy = NeighborSimStrategy(
            self.graph, [Author, Paper, Paper, Author])
        self.outputSimilarityScores(authorMap, authors, inNeighborSimStrategy,
                                    'APPA NeighborSim-In')
        outNeighborSimStrategy = NeighborSimStrategy(
            self.graph, [Author, Paper, Paper, Author],
            reversed=True,
            smoothed=True)
        self.outputSimilarityScores(authorMap, authors, outNeighborSimStrategy,
                                    'APPA NeighborSim-Out')

        # Combined best PR-distance algorithm
        simRankStrategy = SimRankStrategy(self.graph,
                                          [Author, Paper, Paper, Author],
                                          symmetric=True)
        simRank = AggregateSimilarityStrategy(
            self.graph, [pathSimStrategy, simRankStrategy], [0.5, 0.5])
        self.outputSimilarityScores(authorMap, authors, simRank,
                                    'APCPA Pathsim, APPA SimRank')

        # Combined best neighborsim score
        combinedNeighborSim = AggregateSimilarityStrategy(
            self.graph,
            [pathSimStrategy, inNeighborSimStrategy, outNeighborSimStrategy],
            [0.6, 0.2, 0.2])
        self.outputSimilarityScores(
            authorMap, authors, combinedNeighborSim,
            'APCPA Pathsim, APPA NeighborSim-Combined')
    def run(self):

        citationMap = {
            'Mike':  {'Mike': 0,  'Jim': 0,  'Mary': 0,  'Bob': 0,  'Ann': 0, 'Joe': 0,  'Nancy': 0},
            'Jim':   {'Mike': 20, 'Jim': 0,  'Mary': 20, 'Bob': 20, 'Ann': 0, 'Joe': 20, 'Nancy': 0},
            'Mary':  {'Mike': 1,  'Jim': 10, 'Mary': 0,  'Bob': 1,  'Ann': 0, 'Joe': 1,  'Nancy': 0},
            'Bob':   {'Mike': 1,  'Jim': 10, 'Mary': 1,  'Bob': 0,  'Ann': 0, 'Joe': 1,  'Nancy': 0},
            'Ann':   {'Mike': 0,  'Jim': 0,  'Mary': 0,  'Bob': 0,  'Ann': 0, 'Joe': 0,  'Nancy': 0},
            'Joe':   {'Mike': 0,  'Jim': 0,  'Mary': 0,  'Bob': 0,  'Ann': 0, 'Joe': 0,  'Nancy': 0},
            'Nancy': {'Mike': 1,  'Jim': 10, 'Mary': 1,  'Bob': 1,  'Ann': 0, 'Joe': 1,  'Nancy': 0}
        }

        self.graph, authorMap, conferenceMap =\
            SampleGraphUtility.constructPathSimExampleThree(extraAuthorsAndCitations=True, citationMap = citationMap)

        # Get the nodes we care about
        conferences = [
            conferenceMap['SIGMOD'],
            conferenceMap['VLDB'],
            conferenceMap['ICDE'],
            conferenceMap['KDD']
        ]
        authors = [
            authorMap['Mike'],
            authorMap['Jim'],
            authorMap['Mary'],
            authorMap['Bob'],
            authorMap['Ann'],
            authorMap['Joe'],
            authorMap['Nancy'],
        ]
        metaPathUtility = EdgeBasedMetaPathUtility()

        # Project a 2-typed heterogeneous graph over adapted PathSim example
        publicationProjectedGraph = metaPathUtility.createHeterogeneousProjection(self.graph, [Author, Paper, Conference], symmetric = True)
        self.output('\nAdjacency Matrix (Projected):')
        adjMatrixTable = texttable.Texttable()
        rows = [['Author'] + [conference.name for conference in conferences]]
        rows += [[author.name] + [publicationProjectedGraph.getNumberOfEdges(author, conference) for conference in conferences] for author in authors]
        adjMatrixTable.add_rows(rows)
        self.output(adjMatrixTable.draw())

        # Project a homogeneous citation graph over adapted PathSim example
        citationProjectedGraph = metaPathUtility.createHomogeneousProjection(self.graph, [Author, Paper, Paper, Author])
        self.output('\nCitation Matrix:')
        adjMatrixTable = texttable.Texttable()
        rows = [['Author'] + [author.name for author in authors]]
        rows += [[author.name] + [citationProjectedGraph.getNumberOfEdges(author, otherAuthor) for otherAuthor in authors] for author in authors]
        adjMatrixTable.add_rows(rows)
        self.output(adjMatrixTable.draw())

        # Output total out/in citations
        self.output('\nCitations Total:')
        totalCitationsTable = texttable.Texttable()
        rows = [['Author', 'In', 'Out']]
        for author in authors:
            inCount = sum(citationProjectedGraph.getNumberOfEdges(otherAuthor, author) for otherAuthor in authors)
            outCount = sum(citationProjectedGraph.getNumberOfEdges(author, otherAuthor) for otherAuthor in authors)
            rows += [[author.name, inCount, outCount]]
        totalCitationsTable.add_rows(rows)
        self.output(totalCitationsTable.draw())

        # Get PathSim similarity scores
        pathSimStrategy = PathSimStrategy(self.graph, [Author, Paper, Conference, Paper, Author], True)
        self.outputSimilarityScores(authorMap, authors, pathSimStrategy, 'APCPA PathSim')

        # Output SimRank-related scores
        strategy = SimRankStrategy(self.graph, [Author, Paper, Paper, Author], symmetric=True)
        self.outputSimilarityScores(authorMap, authors, strategy, "SimRank")

        # Output the projected PageRank/HITS similarity scores
        for name, algorithm in zip(['PageRank', 'HITS'], [PageRankDistanceStrategy, HITSDistanceStrategy]):
            strategy = algorithm(self.graph, [Author, Paper, Paper, Author], symmetric=True)
            self.outputSimilarityScores(authorMap, authors, strategy, "%s-Distance" % name)

        # Get NeighborSim similarity scores
        inNeighborSimStrategy = NeighborSimStrategy(self.graph, [Author, Paper, Paper, Author])
        self.outputSimilarityScores(authorMap, authors, inNeighborSimStrategy, 'APPA NeighborSim-In')
        outNeighborSimStrategy = NeighborSimStrategy(self.graph, [Author, Paper, Paper, Author], reversed=True, smoothed=True)
        self.outputSimilarityScores(authorMap, authors, outNeighborSimStrategy, 'APPA NeighborSim-Out')

        # Combined best PR-distance algorithm
        simRankStrategy = SimRankStrategy(self.graph, [Author, Paper, Paper, Author], symmetric=True)
        simRank = AggregateSimilarityStrategy(self.graph, [pathSimStrategy, simRankStrategy], [0.5, 0.5])
        self.outputSimilarityScores(authorMap, authors, simRank, 'APCPA Pathsim, APPA SimRank')

        # Combined best neighborsim score
        combinedNeighborSim = AggregateSimilarityStrategy(self.graph, [pathSimStrategy, inNeighborSimStrategy, outNeighborSimStrategy], [0.6, 0.2, 0.2])
        self.outputSimilarityScores(authorMap, authors, combinedNeighborSim, 'APCPA Pathsim, APPA NeighborSim-Combined')
    def run(self):

        self.graph, authorMap, conferenceMap = SampleGraphUtility.constructPathSimExampleThree()

        # Get the nodes we care about
        conferences = [
            conferenceMap['SIGMOD'],
            conferenceMap['VLDB'],
            conferenceMap['ICDE'],
            conferenceMap['KDD']
        ]
        authors = [
            authorMap['Mike'],
            authorMap['Jim'],
            authorMap['Mary'],
            authorMap['Bob'],
            authorMap['Ann'],
        ]
        metaPathUtility = EdgeBasedMetaPathUtility()

        self.output('\nAPC Adjacency Matrix:')
        apcadjMatrix, nodesIndex = metaPathUtility.getAdjacencyMatrixFromGraph(self.graph, [Author, Paper, Conference], project=True)
        adjMatrixTable = texttable.Texttable()
        rows = [['Author'] + [conference.name for conference in conferences]]
        rows += [[author.name] + [apcadjMatrix[nodesIndex[author]][nodesIndex[conference]] for conference in conferences] for author in authors]
        adjMatrixTable.add_rows(rows)
        self.output(adjMatrixTable.draw())

        self.output('\nCPA Adjacency Matrix:')
        cpaadjMatrix, dsad = metaPathUtility.getAdjacencyMatrixFromGraph(self.graph, [Conference, Paper, Author], project=True)
        adjMatrixTable = texttable.Texttable()
        rows = [['Conference'] + [author.name for author in authors]]
        rows += [[conference.name] + [cpaadjMatrix[nodesIndex[conference]][nodesIndex[author]] for author in authors] for conference in conferences]
        adjMatrixTable.add_rows(rows)
        self.output(adjMatrixTable.draw())

        self.output('\nAPCPA Adjacency Matrix (Computed):')
        adjMatrix = numpy.dot(apcadjMatrix, cpaadjMatrix)
        adjMatrixTable = texttable.Texttable()
        rows = [['Author'] + [author.name for author in authors]]
        rows += [[author.name] + [adjMatrix[nodesIndex[author]][nodesIndex[otherAuthor]] for otherAuthor in authors] for author in authors]
        adjMatrixTable.add_rows(rows)
        self.output(adjMatrixTable.draw())

        # Output homogeneous simrank comparison
        homogeneousSimRankStrategy = SimRankStrategy(self.graph)
        self.outputSimilarityScores(authorMap, authors, homogeneousSimRankStrategy, 'Homogeneous SimRank')

        projectedGraph = metaPathUtility.createHeterogeneousProjection(self.graph, [Author, Paper, Conference], symmetric = True)

        # Output heterogeneous simrank comparison
        heterogeneousSimRankStrategy = SimRankStrategy(projectedGraph)
        self.outputSimilarityScores(authorMap, authors, heterogeneousSimRankStrategy, 'APC Heterogeneous SimRank')

        # Output heterogeneous simrank w/ squared neighbors comparison
        def sqNeighborsNorm(graph, a, b, sim):
            aNeighbors, bNeighbors = graph.getPredecessors(a), graph.getPredecessors(b)
            return float(len(aNeighbors)**2 * len(bNeighbors)**2)
        heterogeneousSquaredSimRankStrategy = SimRankStrategy(projectedGraph, normalization=sqNeighborsNorm)
        self.outputSimilarityScores(authorMap, authors, heterogeneousSquaredSimRankStrategy, 'Squared Heterogeneous SimRank')

        # Output NeighborSim similarity scores
        neighborSimStrategy = NeighborSimStrategy(self.graph, [Author, Paper, Conference], symmetric=True)
        self.outputSimilarityScores(authorMap, authors, neighborSimStrategy, 'APC NeighborSim')

        # Output the PathSim similarity scores
        pathsimStrategy = PathSimStrategy(self.graph, [Author, Paper, Conference, Paper, Author], symmetric=True)
        self.outputSimilarityScores(authorMap, authors, pathsimStrategy, 'APCPA PathSim')
    def run(self):

        self.graph, authorMap, conferenceMap = SampleGraphUtility.constructPathSimExampleThree(
        )

        # Get the nodes we care about
        conferences = [
            conferenceMap['SIGMOD'], conferenceMap['VLDB'],
            conferenceMap['ICDE'], conferenceMap['KDD']
        ]
        authors = [
            authorMap['Mike'],
            authorMap['Jim'],
            authorMap['Mary'],
            authorMap['Bob'],
            authorMap['Ann'],
        ]
        metaPathUtility = EdgeBasedMetaPathUtility()

        self.output('\nAPC Adjacency Matrix:')
        apcadjMatrix, nodesIndex = metaPathUtility.getAdjacencyMatrixFromGraph(
            self.graph, [Author, Paper, Conference], project=True)
        adjMatrixTable = texttable.Texttable()
        rows = [['Author'] + [conference.name for conference in conferences]]
        rows += [[author.name] + [
            apcadjMatrix[nodesIndex[author]][nodesIndex[conference]]
            for conference in conferences
        ] for author in authors]
        adjMatrixTable.add_rows(rows)
        self.output(adjMatrixTable.draw())

        self.output('\nCPA Adjacency Matrix:')
        cpaadjMatrix, dsad = metaPathUtility.getAdjacencyMatrixFromGraph(
            self.graph, [Conference, Paper, Author], project=True)
        adjMatrixTable = texttable.Texttable()
        rows = [['Conference'] + [author.name for author in authors]]
        rows += [[conference.name] + [
            cpaadjMatrix[nodesIndex[conference]][nodesIndex[author]]
            for author in authors
        ] for conference in conferences]
        adjMatrixTable.add_rows(rows)
        self.output(adjMatrixTable.draw())

        self.output('\nAPCPA Adjacency Matrix (Computed):')
        adjMatrix = numpy.dot(apcadjMatrix, cpaadjMatrix)
        adjMatrixTable = texttable.Texttable()
        rows = [['Author'] + [author.name for author in authors]]
        rows += [[author.name] + [
            adjMatrix[nodesIndex[author]][nodesIndex[otherAuthor]]
            for otherAuthor in authors
        ] for author in authors]
        adjMatrixTable.add_rows(rows)
        self.output(adjMatrixTable.draw())

        # Output homogeneous simrank comparison
        homogeneousSimRankStrategy = SimRankStrategy(self.graph)
        self.outputSimilarityScores(authorMap, authors,
                                    homogeneousSimRankStrategy,
                                    'Homogeneous SimRank')

        projectedGraph = metaPathUtility.createHeterogeneousProjection(
            self.graph, [Author, Paper, Conference], symmetric=True)

        # Output heterogeneous simrank comparison
        heterogeneousSimRankStrategy = SimRankStrategy(projectedGraph)
        self.outputSimilarityScores(authorMap, authors,
                                    heterogeneousSimRankStrategy,
                                    'APC Heterogeneous SimRank')

        # Output heterogeneous simrank w/ squared neighbors comparison
        def sqNeighborsNorm(graph, a, b, sim):
            aNeighbors, bNeighbors = graph.getPredecessors(
                a), graph.getPredecessors(b)
            return float(len(aNeighbors)**2 * len(bNeighbors)**2)

        heterogeneousSquaredSimRankStrategy = SimRankStrategy(
            projectedGraph, normalization=sqNeighborsNorm)
        self.outputSimilarityScores(authorMap, authors,
                                    heterogeneousSquaredSimRankStrategy,
                                    'Squared Heterogeneous SimRank')

        # Output NeighborSim similarity scores
        neighborSimStrategy = NeighborSimStrategy(self.graph,
                                                  [Author, Paper, Conference],
                                                  symmetric=True)
        self.outputSimilarityScores(authorMap, authors, neighborSimStrategy,
                                    'APC NeighborSim')

        # Output the PathSim similarity scores
        pathsimStrategy = PathSimStrategy(
            self.graph, [Author, Paper, Conference, Paper, Author],
            symmetric=True)
        self.outputSimilarityScores(authorMap, authors, pathsimStrategy,
                                    'APCPA PathSim')