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Article

Модификации EM-алгоритма для вероятностного тематического моделирования

Воронцов К. В., Потапенко А. А.

Probabilistic topic models discover a low-dimensional interpretable representation of text corpora by estimating a multinomial distribution over topics for each document and a multinomial distribution over terms for each topic. A uni ed family of expectation-maximization (EM) like algorithms with smoothing, sampling, sparsing, and robustness heuristics that can be used in any combinations is considered. The known models PLSA (probabilistic latent semantic analysis), LDA (latent Dirichlet allocation), SWB (special words with background), as well as new ones can be considered as special cases of the presented broad family of models. A new simple robust algorithm suitable for sparse models that do not require to estimate and store a big matrix of noise parameters is proposed. The present authors nd experimentally optimal combinations of heuristics with sparsing strategies and discover that sparse robust model without Dirichlet smoothing performs very well and gives more than 99% of zeros in multinomial distributions without loss of perplexity.