Majorization-Minimization Algorithm for Discriminative Non-Negative Matrix Factorization

Discriminative Non-negative Matrix Factorization for Multiple Pitch Estimation

In this paper, we present a supervised method to improve the multiple pitch estimation accuracy of the non-negative matrix factorization (NMF) algorithm. The idea is to extend the sparse NMF framework by incorporating pitch information present in time-aligned musical scores in order to extract features that enforce the separability between pitch labels. We introduce two discriminative criteria ...

Iterative Weighted Non-smooth Non-negative Matrix Factorization for Face Recognition

Non-negative Matrix Factorization (NMF) is a part-based image representation method. It comes from the intuitive idea that entire face image can be constructed by combining several parts. In this paper, we propose a framework for face recognition by finding localized, part-based representations, denoted “Iterative weighted non-smooth non-negative matrix factorization” (IWNS-NMF). A new cost fun...

Non-negative matrix factorization

An Alternating Minimization Algorithm for Non-negative Matrix Approximation

Matrix approximation problems with non-negativity constraints arise during the analysis of high-dimensional non-negative data. Applications include dimensionality reduction, feature extraction and statistical factor analysis. This paper discusses a general algorithm for solving these problems with respect to a large class of error measures. The primary goal of this article is to develop a rigor...

A new approach for building recommender system using non negative matrix factorization method

Nonnegative Matrix Factorization is a new approach to reduce data dimensions. In this method, by applying the nonnegativity of the matrix data, the matrix is ​​decomposed into components that are more interrelated and divide the data into sections where the data in these sections have a specific relationship. In this paper, we use the nonnegative matrix factorization to decompose the user ratin...