Nonnegative Matrix Factorization for Clustering

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Exploratory Multi-way Data Analysis and Blind Source Separation,. Wiley, 09 ..... Proc. of the 8th IEEE Int. Conf. on Data Mining (ICDM), pp. 353-362, 2008.
Nonnegative Matrix Factorization for Clustering Haesun Park [email protected] School of Computational Science and Engineering Georgia Institute of Technology Atlanta, GA, USA MMDS July 2012

This work was supported in part by the National Science Foundation.

Haesun Park [email protected]

Nonnegative Matrix Factorization for Clustering

Co-authors

Jingu Kim

Nokia

Da Kuang

CSE, Georgia Tech

Yunlong He

Math, Georgia Tech

Haesun Park [email protected]

Nonnegative Matrix Factorization for Clustering

Outline Overview of NMF Fast algorithms for NMF with Frobenius norm Block Coordinate Descent (BCD) framework On convergence Some other algorithms

Variations of NMF Nonnegative Tensor factorization NMF with Bregman divergences, ...

NMF for Clustering Sparse NMF via regularization Symmetric NMF for graph clustering

Experimental Results Summary

Haesun Park [email protected]

Nonnegative Matrix Factorization for Clustering

Nonnegative Matrix Factorization (NMF) (Lee&Seung 99, Paatero&Tapper 94)

Given A ∈ R+ m×n and a desired rank k