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Non-negative matrix factorization (NMF) is a recently developed technique for finding parts-based, linear representations of non-negative data. Although it has successfully been applied in several applications, it does not always result in…

Machine Learning · Computer Science 2007-05-23 Patrik O. Hoyer

Nonnegative Matrix Factorization (NMF) models are widely used to recover linearly mixed nonnegative data. When the data is made of samplings of continuous signals, the factors in NMF can be constrained to be samples of nonnegative rational…

Signal Processing · Electrical Eng. & Systems 2023-05-31 Cécile Hautecoeur , Lieven De Lathauwer , Nicolas Gillis , François Glineur

The aim of this study is to implement a method to remove ambient noise in biomedical sounds captured in auscultation. We propose an incremental approach based on multichannel non-negative matrix partial co-factorization (NMPCF) for ambient…

We study the single-channel source separation problem involving orthogonal frequency-division multiplexing (OFDM) signals, which are ubiquitous in many modern-day digital communication systems. Related efforts have been pursued in monaural…

Signal Processing · Electrical Eng. & Systems 2023-06-28 Gary C. F. Lee , Amir Weiss , Alejandro Lancho , Yury Polyanskiy , Gregory W. Wornell

The Nonnegative Matrix Factorization (NMF) of the rating matrix has shown to be an effective method to tackle the recommendation problem. In this paper we propose new methods based on the NMF of the rating matrix and we compare them with…

Machine Learning · Computer Science 2019-08-30 Gianna M. Del Corso , Francesco Romani

Nonnegative Matrix Factorization (NMF) is a widely-used data analysis technique, and has yielded impressive results in many real-world tasks. Generally, existing NMF methods represent each sample with several centroids, and find the optimal…

Image and Video Processing · Electrical Eng. & Systems 2021-03-26 Mulin Chen , Xuelong Li

The independent low-rank matrix analysis (ILRMA) method stands out as a prominent technique for multichannel blind audio source separation. It leverages nonnegative matrix factorization (NMF) and nonnegative canonical polyadic decomposition…

Sound · Computer Science 2024-05-07 Jianyu Wang , Shanzheng Guan

While diffusion models are best known for their performance in generative tasks, they have also been successfully applied to many other tasks, including audio source separation. However, current generative approaches to music source…

Audio and Speech Processing · Electrical Eng. & Systems 2026-04-24 Yun-Ning , Hung , Richard Vogl , Filip Korzeniowski , Igor Pereira

We propose Neural-FST Class Language Model (NFCLM) for end-to-end speech recognition, a novel method that combines neural network language models (NNLMs) and finite state transducers (FSTs) in a mathematically consistent framework. Our…

Computation and Language · Computer Science 2022-02-01 Antoine Bruguier , Duc Le , Rohit Prabhavalkar , Dangna Li , Zhe Liu , Bo Wang , Eun Chang , Fuchun Peng , Ozlem Kalinli , Michael L. Seltzer

Many datasets are obtained as a resolution trade-off between two adversarial dimensions; for example between the frequency and the temporal resolutions for the spectrogram of an audio signal, and between the number of wavelengths and the…

Signal Processing · Electrical Eng. & Systems 2021-12-20 Valentin Leplat , Nicolas Gillis , Cédric Févotte

We present here an original application of the non-negative matrix factorization (NMF) method, for the case of extra-financial data. These data are subject to high correlations between co-variables, as well as between observations. NMF…

Computational Finance · Quantitative Finance 2022-06-10 P Fogel , C Geissler , P Cotte , G Luta

We show how to incorporate information from labeled examples into nonnegative matrix factorization (NMF), a popular unsupervised learning algorithm for dimensionality reduction. In addition to mapping the data into a space of lower…

Machine Learning · Computer Science 2011-12-19 Youngmin Cho , Lawrence K. Saul

Nonnegative matrix factorization (NMF) has become a very popular technique in machine learning because it automatically extracts meaningful features through a sparse and part-based representation. However, NMF has the drawback of being…

Machine Learning · Statistics 2012-12-07 Nicolas Gillis

In this work, we consider nonnegative matrix factorization (NMF) with a regularization that promotes small volume of the convex hull spanned by the basis matrix. We present highly efficient algorithms for three different volume…

Numerical Analysis · Computer Science 2020-01-14 M. S. Ang , Nicolas Gillis

In this paper, we address a statistical model extension of multichannel nonnegative matrix factorization (MNMF) for blind source separation, and we propose a new parameter update algorithm used in the sub-Gaussian model. MNMF employs…

This paper tackles two major problem settings for interpretability of audio processing networks, post-hoc and by-design interpretation. For post-hoc interpretation, we aim to interpret decisions of a network in terms of high-level audio…

The audio source separation tasks, such as speech enhancement, speech separation, and music source separation, have achieved impressive performance in recent studies. The powerful modeling capabilities of deep neural networks give us hope…

Audio and Speech Processing · Electrical Eng. & Systems 2021-07-15 Lu Zhang , Chenxing Li , Feng Deng , Xiaorui Wang

The goal of this work is to investigate what singing voice separation approaches based on neural networks learn from the data. We examine the mapping functions of neural networks based on the denoising autoencoder (DAE) model that are…

Audio and Speech Processing · Electrical Eng. & Systems 2019-10-22 Stylianos Ioannis Mimilakis , Konstantinos Drossos , Estefanía Cano , Gerald Schuller

Consider a time series of measurements of the state of an evolving system, x(t), where x has two or more components. This paper shows how to perform nonlinear blind source separation; i.e., how to determine if these signals are equal to…

Methodology · Statistics 2017-03-07 David N. Levin

While there has been much recent progress using deep learning techniques to separate speech and music audio signals, these systems typically require large collections of isolated sources during the training process. When extending audio…

Sound · Computer Science 2020-09-01 Fatemeh Pishdadian , Gordon Wichern , Jonathan Le Roux