Generalized Alpha-Beta Divergences and Their Application to Robust Nonnegative Matrix Factorization

Divergence-Based Vector Quantization

(2011) Thomas Villmann et al.   NEURAL COMPUTATION

Information geometry of divergence functions

(2010) S. Amari et al.   Bulletin of the Polish Academy of Sciences-Technical Sciences

Bregman Voronoi Diagrams

(2010) Jean-Daniel Boissonnat et al.   DISCRETE & COMPUTATIONAL GEOMETRY

Families of Alpha- Beta- and Gamma- Divergences: Flexible and Robust Measures of Similarities

(2010) Andrzej Cichocki et al.   Entropy

Stability Analysis of Multiplicative Update Algorithms and Application to Nonnegative Matrix Factorization

(2010) R Badeau et al.   IEEE TRANSACTIONS ON NEURAL NETWORKS

Performance analysis of maximum likelihood methods for regularization problems with nonnegativity constraints

(2010) P Favati et al.   INVERSE PROBLEMS

Sided and Symmetrized Bregman Centroids

(2009) Frank Nielsen et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

$\alpha$-Divergence Is Unique, Belonging to Both $f$-Divergence and Bregman Divergence Classes

(2009) Shun-Ichi Amari   IEEE TRANSACTIONS ON INFORMATION THEORY

Nonnegative least-squares image deblurring: improved gradient projection approaches

(2009) F Benvenuto et al.   INVERSE PROBLEMS

A generalization of the Kullback–Leibler divergence and its properties

(2009) Takuya Yamano   JOURNAL OF MATHEMATICAL PHYSICS

Axiomatic Characterizations of Information Measures

(2008) Imre Csiszár   Entropy

Nonnegative Matrix Factorization with the Itakura-Saito Divergence: With Application to Music Analysis

(2008) Cédric Févotte et al.   NEURAL COMPUTATION

Non-negative matrix factorization with α-divergence

(2008) Andrzej Cichocki et al.   PATTERN RECOGNITION LETTERS