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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…

Statistics Theory · Mathematics 2026-02-09 Syamantak Kumar , Purnamrita Sarkar , Peter Bickel , Derek Bean

This letter proposes a new blind source separation (BSS) framework termed minimum variance independent component analysis (MVICA), which can potentially achieve the maximum output signal-to-interference ratio (SIR) while also allowing more…

Sound · Computer Science 2022-03-09 Jianju Gu , Longbiao Cheng , Dingding Yao , Junfeng Li , Yonghong Yan

This work studies the problem of simultaneously separating and reconstructing signals from compressively sensed linear mixtures. We assume that all source signals share a common sparse representation basis. The approach combines classical…

Information Theory · Computer Science 2015-05-30 Martin Kleinsteuber , Hao Shen

Audio source separation is the task of isolating sound sources that are active simultaneously in a room captured by a set of microphones. Convolutive audio source separation of equal number of sources and microphones has a number of…

Sound · Computer Science 2018-11-27 Dimitrios Mallis , Thomas Sgouros , Nikolaos Mitianoudis

This paper proposes a determined blind source separation method using Bayesian non-parametric modelling of sources. Conventionally source signals are separated from a given set of mixture signals by modelling them using non-negative matrix…

Sound · Computer Science 2019-04-09 Chaitanya Narisetty , Tatsuya Komatsu , Reishi Kondo

Blind Source Separation is a widely used technique to analyze multichannel data. In many real-world applications, its results can be significantly hampered by the presence of unknown outliers. In this paper, a novel algorithm coined rGMCA…

Applications · Statistics 2016-04-26 Cecile Chenot , Jerome Bobin , Jeremy Rapin

We introduce a new approach to apply the boosted difference of convex functions algorithm (BDCA) for solving non-convex and non-differentiable problems involving difference of two convex functions (DC functions). Supposing the first DC…

Optimization and Control · Mathematics 2022-06-22 Orizon P. Ferreira , Elianderson M. Santos , João Carlos O. Souza

Two primary families of methods exist for underdetermined blind identification (UBI) based on the sparsity of the source matrix: sparse component analysis (SCA) and $k$-SCA. SCA assumes one active source at each time instant, while $k$-SCA…

Signal Processing · Electrical Eng. & Systems 2023-07-12 Ehsan Eqlimi , Bahador Makkiabadi , Mayadeh Kouti , Ardeshir Fotouhi , Saeid Sanei

Background and Objective: Processing electrophysiological signals often requires blind source separation (BSS) due to the nature of mixing source signals. However, its complex computational demands make real-time BSS challenging. The…

Human-Computer Interaction · Computer Science 2024-11-28 Yao Li , Haowen Zhao , Yunfei Liu , Xu Zhang

An important problem encountered by both natural and engineered signal processing systems is blind source separation. In many instances of the problem, the sources are bounded by their nature and known to be so, even though the particular…

Signal Processing · Electrical Eng. & Systems 2020-04-14 Alper T. Erdogan , Cengiz Pehlevan

Ambisonics is a scene-based spatial audio format that has several useful features compared to object-based formats, such as efficient whole scene rotation and versatility. However, it does not provide direct access to the individual source…

Sound · Computer Science 2023-06-21 Francesc Lluís , Nils Meyer-Kahlen , Vasileios Chatziioannou , Alex Hofmann

Identifiability is a central issue in blind source separation (BSS), determining whether latent sources can be uniquely recovered from observed mixtures. Classical approaches address identifiability either by exploiting source…

Signal Processing · Electrical Eng. & Systems 2026-03-18 Tomomi Ogawa , Hiroki Matsumoto

The mismatch between the numerical and actual nonlinear models is a challenge to nonlinear acoustic echo cancellation (NAEC) when the nonlinear adaptive filter is utilized. To alleviate this problem, we combine a basis-generic expansion of…

Signal Processing · Electrical Eng. & Systems 2021-04-07 Guoliang Cheng , Lele Liao , Hongsheng Chen , Jing Lu

Given a set of mixtures, blind source separation attempts to retrieve the source signals without or with very little information of the the mixing process. We present a geometric approach for blind separation of nonnegative linear mixtures…

Numerical Analysis · Mathematics 2013-01-04 P. Yin , Y. Sun , J. Xin

Here we propose FastFCA-AS, an accelerated algorithm for Full-rank spatial Covariance Analysis (FCA), which is a robust audio source separation method proposed by Duong et al. ["Under-determined reverberant audio source separation using a…

Sound · Computer Science 2018-05-25 Nobutaka Ito , Tomohiro Nakatani

For many years, a combination of principal component analysis (PCA) and independent component analysis (ICA) has been used for blind source separation (BSS). However, it remains unclear why these linear methods work well with real-world…

Machine Learning · Statistics 2020-12-15 Takuya Isomura , Taro Toyoizumi

We revisit the widely used bss eval metrics for source separation with an eye out for performance. We propose a fast algorithm fixing shortcomings of publicly available implementations. First, we show that the metrics are fully specified by…

Audio and Speech Processing · Electrical Eng. & Systems 2021-10-14 Robin Scheibler

In order to prevent velocity, pressure, and temperature spikes at material discontinuities occurring when the interface-capturing schemes inconsistently simulate compressible multi-material flows(when the specific heats ratio is…

Computational Physics · Physics 2020-12-29 Zhiwei He , Yousheng Zhang , Li Li , Baolin Tian

Independent Component Analysis (ICA) is intended to recover the mutually independent sources from their linear mixtures, and F astICA is one of the most successful ICA algorithms. Although it seems reasonable to improve the performance of F…

Machine Learning · Statistics 2022-02-09 YunPeng Li

In this paper, we address the multichannel blind source extraction (BSE) of a single source in diffuse noise environments. To solve this problem even faster than by fast multichannel nonnegative matrix factorization (FastMNMF) and its…