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Zellner, A. (1986) On Assessing Prior Distributions and Bayesian Regression Analysis with g-Prior Distributions. In: Goel, P. and Zellner, A., Eds., Bayesian Inference and Decision Techniques: Essays in Honor of Bruno de Finetti, Elsevier Science Publishers, Inc., New York, 233-243.

has been cited by the following article:

• TITLE: Nonnegative Matrix Factorization with Zellner Penalty

  AUTHORS: Matthew A. Corsetti, Ernest Fokoué

  KEYWORDS: Nonnegative Matrix Factorization, Zellner g-Prior, Auxiliary Constraints, Regularization, Penalty, Classification, Image Processing, Feature Extraction

  JOURNAL NAME: Open Journal of Statistics, Vol.5 No.7, December 24, 2015

  ABSTRACT: Nonnegative matrix factorization (NMF) is a relatively new unsupervised learning algorithm that decomposes a nonnegative data matrix into a parts-based, lower dimensional, linear representation of the data. NMF has applications in image processing, text mining, recommendation systems and a variety of other fields. Since its inception, the NMF algorithm has been modified and explored by numerous authors. One such modification involves the addition of auxiliary constraints to the objective function of the factorization. The purpose of these auxiliary constraints is to impose task-specific penalties or restrictions on the objective function. Though many auxiliary constraints have been studied, none have made use of data-dependent penalties. In this paper, we propose Zellner nonnegative matrix factorization (ZNMF), which uses data-dependent auxiliary constraints. We assess the facial recognition performance of the ZNMF algorithm and several other well-known constrained NMF algorithms using the Cambridge ORL database.