Convolutional Poisson Gamma Belief Network Chaojie Wang ♖ Bo Chen ♖ Sucheng Xiao ♖ Mingyuan Zhou ♘ ♖ National Laboratory of Radar Signal Processing, Xidian University, Xi'an, Shaanxi, China ♘ McCombs School of Business, The University of Texas at Austin, Austin, TX, USA National Lab of Radar Signal Processing Xidian University & UT-Austin 1 2019-6-11
Motivation Document Representation q Basic Lossless Representation q Simplified Lossy Representation Ø A sequence of one-hot vectors Ø Bag-of-words Simplified ü Preserve all textual information ü Term-document frequency count matrix ※ Extremely large and sparse matrices ※ Lose word order ※ Burdens of calculation and storage Ø Word embeddings ※ Difficult to model directly ü Project words to low-dimensional vectors Document One-hot Sequence ※ Require additional large corpora I love it don't 0 0 0 Challenge hate 0 0 0 “I love it” Most basic representation I 1 0 0 0 0 1 it 0 1 0 love National Lab of Radar Signal Processing Xidian University & UT-Austin 2 2019-6-11
Our Contribution Convolutional Poisson Factor Analysis q Generative model of CPFA ü Preserve word order information ü Directly model sparse matrices ü Take advantages of the sparsity ü Support parallel computation ü Capture pharse-level topics Probabilistic Convolutional Layer National Lab of Radar Signal Processing Xidian University & UT-Austin 3 2019-6-11
Our Contribution Convolutional Poisson Gamma Belief Network q Probabilistic Pooling Layer Equivalent q Generative model of CPGBN ü Transfer the messages from deeper layers ü Jointly Train all the other layers ü Deep extention can boost performance ü Hierachical pharse-level topic National Lab of Radar Signal Processing Xidian University & UT-Austin 4 2019-6-11
Our Contribution Hybrid MCMC/Variational Inference q Convolutional inference network q Weibull Reparameterization Approximate ü Fast in out-of-sample prediction ü Parallel scalable inference ü Easy extension (e.g., modeling document labels) National Lab of Radar Signal Processing Xidian University & UT-Austin 5 2019-6-11
Experiment Phrase-level Topics Visualization National Lab of Radar Signal Processing Xidian University & UT-Austin 6 2019-6-11
Thank you ! Chaojie Wang ♖ Bo Chen ♖ Sucheng Xiao ♖ Mingyuan Zhou ♘ ♖ National Laboratory of Radar Signal Processing, Xidian University, Xi'an, Shaanxi, China ♘ McCombs School of Business, The University of Texas at Austin, Austin, TX, USA National Lab of Radar Signal Processing Xidian University & UT-Austin 7 2019-6-11
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