In this paper, we extend the original non-negative matrix factorization (NMF) to kernel NMF (KNMF). The advantages of KNMF over NMF are: 1) it could extract more useful features hidden in the original data through some kernel-induced nonlinear mappings; 2) it can deal with data where only relationships (similarities or dissimilarities) between objects are known; 3) it can process data with nega...

An online nonnegative matrix factorization (NMF) algorithm based on recursive least squares (RLS) is described in a matrix form, and a simplified algorithm for a low-complexity calculation is developed for frame-by-frame online audio source separation system. First, the online NMF algorithm based on the RLS method is described as solving the NMF problem recursively. Next, a simplified algorithm...

Objectives: This work focuses on creating targeted content-specific topicbased clusters. They can help users to discover the topics in a set of documents information more efficiently. Methods/Statistical analysis: The Non-negative Matrix Factorization (NMF) based models learn by directly decomposing term-document matrix, which is bag-of-word matrix representation text corpus, into two low-rank ...

This paper presents a novel data-hiding scheme for multimedia data using non-negative matrix factorization (NMF). Nonnegative feature space (basis matrix) is estimated using the NMF-framework from the sample set of multimedia objects. Subsequently, using a secret key a subspace (basis vector) of the estimated basis matrix is used to decompose the host data for information embedding and detectio...

Non-negative Matrix Factorization (NMF) and Probabilistic Latent Semantic Indexing (PLSI) have been successfully applied to document clustering recently. In this paper, we show that PLSI and NMF (with the I-divergence objective function) optimize the same objective function, although PLSI and NMF are different algorithms as verified by experiments. This provides a theoretical basis for a new hy...

The objective of single-channel source separation is to accurately recover source signals from mixtures. Non-negative matrix factorization (NMF) is a popular approach for this task, yet previous NMF approaches have not optimized directly this objective, despite some efforts in this direction. Our paper introduces discriminative training of the NMF basis functions such that, given the coefficien...

This paper proposes a novel method of speech enhancement using tensor factorization, which is extended from complex non-negative matrix factorization (CMF), in the modulation frequency domain. Non-negative matrix factorization (NMF) has attracted a great deal of attention as a recent approach to speech enhancement for its ease of feature detection in the acoustic frequency domain. However, prev...

In this paper, automatic musical instrument identification using a variety of classifiers is addressed. Experiments are performed on a large set of recordings that stem from 20 instrument classes. Several features from general audio data classification applications as well as MPEG-7 descriptors are measured for 1000 recordings. Branch-and-bound feature selection is applied in order to select th...

This paper proposes a novel scheme that enhance the modulation spectrum of speech features in noise speech recognition via non-negative matrix factorization (NMF). In the presented approach, we apply NMF to obtain a set of non-negative basis spectra vectors which derived from the clean speech to represent the important components for speech recognition. The difference compared to the convention...

Matrix factorization (MF) is a powerful approach used in recommender systems. One main drawback of MF is the difficulty to interpret the automatically formed features. Following the intuition that the relation between users and items can be expressed through a reduced set of users, referred to as representative users, we propose a simple modification of a traditional MF algorithm, that forms a ...