Tensor Decompositions for Analyzing Multi-link Graphs

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SIAM Data: Document SimilarityLink Analysis: Hubs and Authorities on the World Wide Web,C.H.Q. Ding, H. Zha, X. He, P. Husbands, and H.D. Simon, SIREV, 2004.• CP decomposition, R = 30:• Similarity scores:<strong>Graphs</strong> (Related)
SIAM Data: Author Disambiguation• CP decomposition, R = 20:• Computed centroids of top 20 authors’ papers ( )• Disambiguation scores:• Scored all authors with same last name, first initialT Chan (2), TM Chan (4)T Manteufel (3)S McCormick (3)G Golub (1)
Page 1 and 2: Tensor Decompositionsfor AnalyzingM
Page 3 and 4: Multi-Link GraphsTermsDocuments•
Page 5 and 6: TensorsAn I × J × K tensorKColumn
Page 7 and 8: Tensor n-Mode MultiplicationTensor
Page 9 and 10: Specially Structured TensorsTucker
Page 11 and 12: Tucker DecompositionThree-mode fact
Page 13 and 14: CP Alternating Least Squares (CP-AL
Page 15 and 16: Analyzing SIAM Publication Data1999
Page 17 and 18: SIAM Data: Tensor Construction• w
Page 19: SIAM Data: Document SimilarityLink
Page 23 and 24: SIAM Data: Author DisambiguationDis
Page 25 and 26: SIAM Data: Journal Prediction• CP
Page 27 and 28: Tensors and HPC• Sparse tensors-
Page 29 and 30: Thank YouTensor Decompositionsfor A
Page 31 and 32: High-Order Analogue of the Matrix S

Tensor Decompositions for Analyzing Multi-link Graphs

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