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Blind source separation (BSS) is a very popular technique to analyze multichannel data. In this context, the data are modeled as the linear combination of sources to be retrieved. For that purpose, standard BSS methods all rely on some…

应用统计 · 统计学 2015-06-23 Jerome Bobin , Jeremy Rapin , Anthony Larue , Jean-Luc Starck

Unsupervised blind source separation methods do not require a training phase and thus cannot suffer from a train-test mismatch, which is a common concern in neural network based source separation. The unsupervised techniques can be…

声音 · 计算机科学 2021-06-11 Christoph Boeddeker , Frederik Rautenberg , Reinhold Haeb-Umbach

In this article, nonstationary mixing and source models are combined for developing new fast and accurate algorithms for Independent Component or Vector Extraction (ICE/IVE), one of which stands for a new extension of the well-known…

信号处理 · 电气工程与系统科学 2022-11-23 Zbyněk Koldovský , Václav Kautský , Petr Tichavský

The recently proposed semi-blind source separation (SBSS) method for nonlinear acoustic echo cancellation (NAEC) outperforms adaptive NAEC in attenuating the nonlinear acoustic echo. However, the multiplicative transfer function (MTF)…

音频与语音处理 · 电气工程与系统科学 2023-01-18 Guoliang Cheng , Lele Liao , Kai Chen , Yuxiang Hu , Changbao Zhu , Jing Lu

This article proposes new multiplicative updates for nonnegative matrix factorization (NMF) with the $\beta$-divergence objective function. Our new updates are derived from a joint majorization-minimization (MM) scheme, in which an…

机器学习 · 计算机科学 2023-04-18 Arthur Marmin , José Henrique de Morais Goulart , Cédric Févotte

We study majorization-minimization methods for nonnegative tensor decompositions under the $\beta$-divergence family, focusing on nonnegative CP and Tucker models. Our aim is to avoid explicit mode unfoldings and large auxiliary matrices by…

最优化与控制 · 数学 2026-03-10 Valentin Leplat

This paper proposes harmonic vector analysis (HVA) based on a general algorithmic framework of audio blind source separation (BSS) that is also presented in this paper. BSS for a convolutive audio mixture is usually performed by…

音频与语音处理 · 电气工程与系统科学 2021-04-15 Kohei Yatabe , Daichi Kitamura

In Gaussian model-based multichannel audio source separation, the likelihood of observed mixtures of source signals is parametrized by source spectral variances and by associated spatial covariance matrices. These parameters are estimated…

声音 · 计算机科学 2026-04-15 Mahmoud Fakhry , Piergiorgio Svaizer , Maurizio Omologo

Multichannel blind audio source separation aims to recover the latent sources from their multichannel mixtures without supervised information. One state-of-the-art blind audio source separation method, named independent low-rank matrix…

声音 · 计算机科学 2021-03-31 Jianyu Wang , Shanzheng Guan , Shupei Liu , Xiao-Lei Zhang

This paper presents a computationally efficient approach to blind source separation (BSS) of audio signals, applicable even when there are more sources than microphones (i.e., the underdetermined case). When there are as many sources as…

声音 · 计算机科学 2021-01-22 Nobutaka Ito , Rintaro Ikeshita , Hiroshi Sawada , Tomohiro Nakatani

Majorization-minimization (MM) is a standard iterative optimization technique which consists in minimizing a sequence of convex surrogate functionals. MM approaches have been particularly successful to tackle inverse problems and…

应用统计 · 统计学 2018-08-01 Yousra Bekhti , Felix Lucka , Joseph Salmon , Alexandre Gramfort

Subsampling is a widely used and effective approach for addressing the computational challenges posed by massive datasets. Substantial progress has been made in developing non-uniform, probability-based subsampling schemes that prioritize…

统计方法学 · 统计学 2026-05-07 Dingyi Wang , Haiying Wang , Qingpei Hu

Independent Component Analysis (ICA) was introduced in the 1980's as a model for Blind Source Separation (BSS), which refers to the process of recovering the sources underlying a mixture of signals, with little knowledge about the source…

统计理论 · 数学 2026-02-09 Syamantak Kumar , Purnamrita Sarkar , Peter Bickel , Derek Bean

We study an efficient dynamic blind source separation algorithm of convolutive sound mixtures based on updating statistical information in the frequency domain, andminimizing the support of time domain demixing filters by a weighted least…

统计理论 · 数学 2007-05-23 Jie Liu , Jack Xin , Yingyong Qi

This paper concerns underdetermined linear instantaneous and convolutive blind source separation (BSS), i.e., the case when the number of observed mixed signals is lower than the number of sources.We propose partial BSS methods, which…

数据分析、统计与概率 · 物理学 2008-12-18 J. Thomas , Y. Deville , Shahram Hosseini

Independent component analysis (ICA) is the most popular method for blind source separation (BSS) with a diverse set of applications, such as biomedical signal processing, video and image analysis, and communications. Maximum likelihood…

机器学习 · 统计学 2016-10-25 Zois Boukouvalas , Rami Mowakeaa , Geng-Shen Fu , Tulay Adali

We propose a new class of divergence measures for Independent Component Analysis (ICA) for the demixing of multiple source mixtures. We call it the Convex Cauchy-Schwarz Divergence (CCS-DIV), and it is formed by integrating convex functions…

信息论 · 计算机科学 2016-04-19 Zaid Albataineh , Fathi M. Salem

We propose a Block Majorization Minimization method with Extrapolation (BMMe) for solving a class of multi-convex optimization problems. The extrapolation parameters of BMMe are updated using a novel adaptive update rule. By showing that…

机器学习 · 计算机科学 2025-09-03 Le Thi Khanh Hien , Valentin Leplat , Nicolas Gillis

Majorization-minimization algorithms consist of iteratively minimizing a majorizing surrogate of an objective function. Because of its simplicity and its wide applicability, this principle has been very popular in statistics and in signal…

机器学习 · 统计学 2013-09-11 Julien Mairal

Scalable decentralized optimization in large-scale systems hinges on efficient communication. A common way to reduce communication overhead is to perform multiple local updates between two communication rounds, as in federated learning.…

最优化与控制 · 数学 2025-11-10 Jie Liu , Zuang Wang , Yongqiang Wang