Nonnegative matrix factorization and I-divergence alternating minimization

DOI10.1016/j.laa.2005.11.012zbMath1109.15007arXivmath/0412070OpenAlexW2012642013MaRDI QIDQ2494663

Peter Spreij, Lorenzo Finesso

Publication date: 20 July 2006

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0412070

zbMATH Keywords

convergenceliftingapproximate factorizationauxiliary functionnon-negative matrix factorization1-divergence

Mathematics Subject Classification ID

Factorization of matrices (15A23) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (14)

Factor analysis models via I-divergence optimization ⋮ A primal-dual algorithm for nonnegative \(N\)-th order CP tensor decomposition: application to fluorescence spectroscopy data analysis ⋮ Nonnegative tensor factorization as an alternative Csiszar-Tusnady procedure: algorithms, convergence, probabilistic interpretations and novel probabilistic tensor latent variable analysis algorithms ⋮ Unilateral Orthogonal Nonnegative Matrix Factorization ⋮ Global convergence of modified multiplicative updates for nonnegative matrix factorization ⋮ Approximation of stationary processes by hidden Markov models ⋮ Non-negative matrix factorization with fixed row and column sums ⋮ Structured nonnegative matrix factorization with applications to hidden Markov realization and clustering ⋮ Probability matrices, non-negative rank, and parameterization of mixture models ⋮ Nonnegative matrix factorization and I-divergence alternating minimization ⋮ Projected gradient method for kernel discriminant nonnegative matrix factorization and the applications ⋮ Approximation of nonnegative systems by moving averages of fixed order ⋮ Algorithms for nonnegative matrix factorization with the Kullback-Leibler divergence ⋮ A unified global convergence analysis of multiplicative update rules for nonnegative matrix factorization

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On reduced rank nonnegative matrix factorization for symmetric nonnegative matrices
• On the convergence properties of the EM algorithm
• I-divergence geometry of probability distributions and minimization problems
• Primes in several classes of the positive matrices
• Nonnegative matrix factorization and I-divergence alternating minimization
• Archetypal Analysis
• Learning the parts of objects by non-negative matrix factorization
• Convergence Conditions for Nonlinear Programming Algorithms

This page was built for publication: Nonnegative matrix factorization and I-divergence alternating minimization