Understanding Complex Datasets: Data Mining with Matrix Decompositions
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摘要: DATA MINING What Is Data Like? Mining Techniques Why Use Matrix Decompositions? MATRIX DECOMPOSITIONS Definition Interpreting Decompositions Applying Algorithm Issues SINGULAR VALUE DECOMPOSITION (SVD) an SVD Applications of Extensions GRAPH ANALYSIS Graphs versus Datasets Adjacency Eigenvalues and Eigenvectors Connections to Google's PageRank Overview the Embedding Process Eigendecompositions Clustering Edge Prediction Graph Substructures The ATHENS System for Novel Knowledge Discovery Bipartite SEMIDISCRETE (SDD) SDD USING AND TOGETHER Then Together INDEPENDENT COMPONENT (ICA) ICA NON-NEGATIVE FACTORIZATION (NNMF) NNMF TENSORS Tucker3 Tensor Decomposition CP Algorithmic CONCLUSION APPENDIX: MATLAB SCRIPTS BIBLIOGRAPHY INDEX
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