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We revisit the source image estimation problem from blind source separation (BSS). We generalize the traditional minimum distortion principle to maximum likelihood estimation with a model for the residual spectrograms. Because residual…

Audio and Speech Processing · Electrical Eng. & Systems 2020-09-14 Robin Scheibler

Learning multi-view data is an emerging problem in machine learning research, and nonnegative matrix factorization (NMF) is a popular dimensionality-reduction method for integrating information from multiple views. These views often provide…

Machine Learning · Statistics 2023-04-26 Shuo Shuo Liu , Lin Lin

Among numerous blind source separation (BSS) methods, convolutive transfer function-based multichannel non-negative matrix factorization (CTF-MNMF) has demonstrated strong performance in highly reverberant environments by modeling…

Sound · Computer Science 2025-10-06 Xuemai Xie , Xianrui Wang , Liyuan Zhang , Yichen Yang , Shoji Makino

Hyperspectral unmixing has been an important technique that estimates a set of endmembers and their corresponding abundances from a hyperspectral image (HSI). Nonnegative matrix factorization (NMF) plays an increasingly significant role in…

Computer Vision and Pattern Recognition · Computer Science 2022-05-23 Xin-Ru Feng , Heng-Chao Li , Rui Wang , Qian Du , Xiuping Jia , Antonio Plaza

Multichannel convolutive blind speech source separation refers to the problem of separating different speech sources from the observed multichannel mixtures without much a priori information about the mixing system. Multichannel nonnegative…

Sound · Computer Science 2024-01-04 Jianyu Wang , Shanzheng Guan

Non-negative Matrix Factorization (NMF) methods offer an appealing unsupervised learning method for real-time analysis of streaming spectral data in time-sensitive data collection, such as $\textit{in situ}$ characterization of materials.…

Applied Physics · Physics 2024-06-12 Phillip M. Maffettone , Aidan C. Daly , Daniel Olds

Traditional nonnegative matrix factorization (NMF) learns a new feature representation on the whole data space, which means treating all features equally. However, a subspace is often sufficient for accurate representation in practical…

Computer Vision and Pattern Recognition · Computer Science 2022-04-19 Junhang Li , Jiao Wei , Can Tong , Tingting Shen , Yuchen Liu , Chen Li , Shouliang Qi , Yudong Yao , Yueyang Teng

Hyperspectral images contain mixed pixels due to low spatial resolution of hyperspectral sensors. Mixed pixels are pixels containing more than one distinct material called endmembers. The presence percentages of endmembers in mixed pixels…

Computer Vision and Pattern Recognition · Computer Science 2014-11-04 Roozbeh Rajabi , Hassan Ghassemian

Source separation, which consists in decomposing data into meaningful structured components, is an active research topic in many areas, such as music and image signal processing, applied physics and text mining. In this paper, we introduce…

Sound · Computer Science 2016-11-09 Paul Magron , Roland Badeau , Antoine Liutkus

Nonnegative matrix factorization (NMF) is a linear dimensionality reduction technique for analyzing nonnegative data. A key aspect of NMF is the choice of the objective function that depends on the noise model (or statistics of the noise)…

Machine Learning · Computer Science 2021-02-10 Nicolas Gillis , Le Thi Khanh Hien , Valentin Leplat , Vincent Y. F. Tan

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

Many applications of single channel source separation (SCSS) including automatic speech recognition (ASR), hearing aids etc. require an estimation of only one source from a mixture of many sources. Treating this special case as a regular…

Audio and Speech Processing · Electrical Eng. & Systems 2018-06-22 Arpita Gang , Pravesh Biyani , Akshay Soni

We study the problem of separating audio sources from a single linear mixture. The goal is to find a decomposition of the single channel spectrogram into a sum of individual contributions associated to a certain number of sources. In this…

Sound · Computer Science 2012-12-14 Augustin Lefèvre , François Glineur , P. -A. Absil

In this paper, we propose a provably correct algorithm for convolutive nonnegative matrix factorization (CNMF) under separability assumptions. CNMF is a convolutive variant of nonnegative matrix factorization (NMF), which functions as an…

Machine Learning · Computer Science 2019-11-15 Anthony Degleris , Nicolas Gillis

Non-negative matrix factorization (NMF) is a natural model of admixture and is widely used in science and engineering. A plethora of algorithms have been developed to tackle NMF, but due to the non-convex nature of the problem, there is…

Machine Learning · Computer Science 2015-07-09 Rong Ge , James Zou

We present a neural network that can act as an equivalent to a Non-Negative Matrix Factorization (NMF), and further show how it can be used to perform supervised source separation. Due to the extensibility of this approach we show how we…

Sound · Computer Science 2016-09-13 Paris Smaragdis , Shrikant Venkataramani

The symmetric Nonnegative Matrix Factorization (NMF), a special but important class of the general NMF, has found numerous applications in data analysis such as various clustering tasks. Unfortunately, designing fast algorithms for the…

Machine Learning · Computer Science 2023-01-26 Xiao Li , Zhihui Zhu , Qiuwei Li , Kai Liu

Non-negative matrix factorization (NMF) is a key technique for feature extraction and widely used in source separation. However, existing algorithms may converge to poor local minima, or to one of several minima with similar objective value…

Machine Learning · Computer Science 2024-10-30 Youdong Guo , Timothy E. Holy

Nonnegative Matrix Factorization (NMF) has been a popular representation method for pattern classification problem. It tries to decompose a nonnegative matrix of data samples as the product of a nonnegative basic matrix and a nonnegative…

Machine Learning · Statistics 2013-12-06 Jim Jing-Yan Wang

In this paper, we present RT-GCC-NMF: a real-time (RT), two-channel blind speech enhancement algorithm that combines the non-negative matrix factorization (NMF) dictionary learning algorithm with the generalized cross-correlation (GCC)…

Audio and Speech Processing · Electrical Eng. & Systems 2019-04-08 Sean U. N. Wood , Jean Rouat