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Non-negative matrix factorization Mathieu Blondel NTT Communication Science Laboratories 2014/10/28 1 / 44 Outline • Non-negative matrix factorization (NMF) • Optimization algorithms • Passive-aggressive algorithms for NMF 2 / 44 Non-negative matrix factorization 3 / 44 Non-negative matrix factorization (NMF) Given observed matrix R ∈ Rn×d + , find matrices P ∈ Rn×m + and Q ∈ Rm×d + such that R ≈
Affiliation Research scientist, Google DeepMind, Paris. Contact mblondel AT google DOT com (work) or mathieu AT thisdomain DOT org (personal) Short bio I obtained my PhD in machine learning from Kobe University, Japan, in 2013. From 2013 to 2019, I was a research scientist at NTT, in the Communication Science Laboratories, in Kyoto, Japan. Since 2019, I am a research scientist at Google DeepMind,
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