A Way to Boost Semi-NMF for Document Clustering

Aghiles Salah, Melissa Ailem, Mohamed Nadif · 2017

Semi-Non Negative Matrix Factorization (Semi-NMF) is one of the most popular extensions of NMF, it extends the applicable range of NMF models, to data having mixed signs, as well as strengthens their relation to clustering. However, Semi-NMF has been found to perform somewhat less than NMF, in terms of clustering, when applied to positive data such as text, which we focus on. Inspired by the recent success of neural word embedding models, e.g., word2vec, in learning high quality real valued vector representations of words, we propose to integrate a word embedding model into Semi-NMF. This allows Semi-NMF to capture more semantic relationships among words and, thereby, to infer document factors that are even better for clustering. The combination of Semi-NMF and word embedding noticeably improves the performance of NMF models, in terms of both clustering and embedding, as illustrated in our experiments.

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