A cross-collection mixture model for comparative text mining
Proceedings of the tenth ACM SIGKDD international conference on Knowledge discovery and data mining
Algebraic Statistics for Computational Biology
Algebraic Statistics for Computational Biology
Mathematical Biology: An Introduction with Maple and Matlab
Mathematical Biology: An Introduction with Maple and Matlab
On the Complexity of Nonnegative Matrix Factorization
SIAM Journal on Optimization
Sparse and unique nonnegative matrix factorization through data preprocessing
The Journal of Machine Learning Research
Nonnegative rank factorization--a heuristic approach via rank reduction
Numerical Algorithms
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In this paper we study how perturbing a matrix changes its nonnegative rank. We prove that the nonnegative rank can only increase in a neighborhood of a matrix with no zero columns. Also, we describe some special families of perturbations. We show how our results relate to statistics in terms of the study of maximum likelihood estimation for mixture models.