T here has been a recent surge of interest in matrix and tensor factorization (decomposition), which provides meaningful latent (hidden) components or features with physical or physiological meaning and interpretation. Nonnegative matrix factorization (NMF) and its extension to three-dimensional (3-D) nonnegative tensor factorization (NTF) attempt to recover hidden nonnegative common structures...

In the past decades, advances in high-throughput technologies have led to the generation of huge amounts of biological data that require analysis and interpretation. Recently, nonnegative matrix factorization (NMF) has been introduced as an efficient way to reduce the complexity of data as well as to interpret them, and has been applied to various fields of biological research. In this paper, w...

In this paper, we investigate the performance of classifierbased non-negative matrix factorization (NMF) methods for detecting overlapping acoustic events. We provide evidence that the performance of classifier-based NMF systems deteriorates significantly in overlapped scenarios in case mixed observations are unavailable during training. To this end, we propose a K-means based method for artifi...

This extended abstract presents a submission to the Music Information Retrieval Evaluation eXchange (MIREX) in the Multiple Fundamental Frequency Estimation & Tracking task. This submission is mainly based on our previous work on Nonnegative Matrix factorization (NMF) applied to music transcription. It relies on the harmonicity model we used in our previous participation in MIREX [1] and more r...

19 To simplify redundant motor control, the central nervous system (CNS) may 20 modularly organize and recruit groups of muscles as “muscle synergies”. However, 21 smooth and efficient movements are expected to require not only low-dimensional 22 organization but also flexibility in the recruitment or combination of synergies 23 depending on force-generating capability of individual muscles. In...

Identifying functional groups of genes is a challenging problem for biological applications. Text mining approaches can be used to build hierarchical clusters or trees from the information in the biological literature. In particular, the nonnegative matrix factorization (NMF) is examined as one approach to label hierarchical trees. A generic labeling algorithm as well as an evaluation technique...

Polyphonic pitch transcription consists of estimating the onset time, duration and pitch of each note within a music signal. Adaptive signal models such as Nonnegative Matrix Factorization (NMF) appear well suited to this task, since they can provide a meaningful representation whatever instruments are playing. In this paper, we propose a simple transcription method using minimum residual loudn...

To create appealing realistic visual effects, complete geometric models, lightings, and material properties of a scene are often required in film production or augmented reality. This compact representation also enables various applications in many image synthesis and editing tasks. In this paper, we introduce an iterative photometric stereo approach via non-negative matrix factorization (NMF) ...

We investigate the conditions for which nonnegative matrix factorization (NMF) is unique and introduce several theorems which can determine whether the decomposition is in fact unique or not. The theorems are illustrated by several examples showing the use of the theorems and their limitations. We have shown that corruption of a unique NMF matrix by additive noise leads to a noisy estimation of...

J wave is getting more and more important in the clinical diagnosis as a new index of the electrocardiogram (ECG) of ventricular bipolar, but its signal often mixed in normal ST segment, using the traditional electrocardiograph, and diagnosed by experience cannot meet the practical requirements. Therefore, a new method of multilayer nonnegative matrix factorization (NMF) in this paper is put fo...