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Blind source separation (BSS) is a signal processing tool, which is widely used in various fields. Examples include biomedical signal separation, brain imaging and economic time series applications. In BSS, one assumes that the observed $p$…

Statistics Theory · Mathematics 2017-09-04 Jari Miettinen , Katrin Illner , Klaus Nordhausen , Hannu Oja , Sara Taskinen , Fabian J. Theis

Blind source separation (BSS) aims at recovering signals from mixtures. This problem has been extensively studied in cases where the mixtures are contaminated with additive Gaussian noise. However, it is not well suited to describe data…

Machine Learning · Statistics 2018-12-12 I. El Hamzaoui , J. Bobin

Blind Speech Separation (BSS) aims to separate multiple speech sources from audio mixtures recorded by a microphone array. The problem is challenging because it is a blind inverse problem, i.e., the microphone array geometry, the room…

Audio and Speech Processing · Electrical Eng. & Systems 2025-06-18 Zhongweiyang Xu , Xulin Fan , Zhong-Qiu Wang , Xilin Jiang , Romit Roy Choudhury

Signal separation and extraction are important tasks for devices recording audio signals in real environments which, aside from the desired sources, often contain several interfering sources such as background noise or concurrent speakers.…

Signal Processing · Electrical Eng. & Systems 2020-07-15 Andreas Brendel , Thomas Haubner , Walter Kellermann

The expansion of telecommunications incurs increasingly severe crosstalk and interference, and a physical layer cognitive method, called blind source separation (BSS), can effectively address these issues. BSS requires minimal prior…

Signal Processing · Electrical Eng. & Systems 2023-03-22 Weipeng Zhang , Alexander Tait , Chaoran Huang , Thomas Ferreira de Lima , Simon Bilodeau , Eric Blow , Aashu Jha , Bhavin J. Shastri , Paul Prucnal

Non-stationary source separation is a well-established branch of blind source separation with many different methods. However, for none of these methods large-sample results are available. To bridge this gap, we develop large-sample theory…

Statistics Theory · Mathematics 2024-09-10 François Bachoc , Christoph Muehlmann , Klaus Nordhausen , Joni Virta

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

Modelling multivariate spatio-temporal data with complex dependency structures is a challenging task but can be simplified by assuming that the original variables are generated from independent latent components. If these components are…

Methodology · Statistics 2024-11-04 Mika Sipilä , Claudia Cappello , Sandra De Iaco , Klaus Nordhausen , Sara Taskinen

Analysis of spatial multivariate data, i.e., measurements at irregularly-spaced locations, is a challenging topic in visualization and statistics alike. Such data are integral to many domains, e.g., indicators of valuable minerals are…

Human-Computer Interaction · Computer Science 2023-08-15 Nikolaus Piccolotto , Markus Bögl , Christoph Muehlmann , Klaus Nordhausen , Peter Filzmoser , Silvia Miksch

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…

Statistics Theory · Mathematics 2007-05-23 Jie Liu , Jack Xin , Yingyong Qi

In this paper, a Blind Source Separation (BSS) algorithm for multichannel audio contents is proposed. Unlike common BSS algorithms targeting stereo audio contents or microphone array signals, our technique is targeted at multichannel audio…

Sound · Computer Science 2015-12-29 Taejin Park , Taejin Lee

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

We propose a multi-tone decomposition algorithm that can find the frequencies, amplitudes and phases of the fundamental sinusoids in a noisy observation sequence. Under independent identically distributed Gaussian noise, our method utilizes…

Signal Processing · Electrical Eng. & Systems 2022-03-29 Kaan Gokcesu , Hakan Gokcesu

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…

Data Analysis, Statistics and Probability · Physics 2008-12-18 J. Thomas , Y. Deville , Shahram Hosseini

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…

Audio and Speech Processing · Electrical Eng. & Systems 2021-04-15 Kohei Yatabe , Daichi Kitamura

In this paper, we propose a novel separation system for extracting two speech signals from two microphone recordings. Our system combines the blind source separation technique with cepstral smoothing of binary time-frequency masks. The last…

Sound · Computer Science 2026-03-17 Ibrahim Missaoui , Zied Lachiri

Singular spectrum analysis (SSA) as a nonparametric tool for decomposition of an observed time series into sum of interpretable components such as trend, oscillations and noise is considered. The separability of these series components by…

Methodology · Statistics 2016-01-25 Nina Golyandina , Alex Shlemov

This paper presents a neural method for distant speech recognition (DSR) that jointly separates and diarizes speech mixtures without supervision by isolated signals. A standard separation method for multi-talker DSR is a statistical…

Audio and Speech Processing · Electrical Eng. & Systems 2024-06-13 Yoshiaki Bando , Tomohiko Nakamura , Shinji Watanabe

We present a novel blind source separation (BSS) method, called information geometric blind source separation (IGBSS). Our formulation is based on the log-linear model equipped with a hierarchically structured sample space, which has…

Machine Learning · Statistics 2021-06-14 Simon Luo , Lamiae Azizi , Mahito Sugiyama

In this work, we consider the problem of blind source separation (BSS) by departing from the usual linear model and focusing on the linear-quadratic (LQ) model. We propose two provably robust and computationally tractable algorithms to…

Signal Processing · Electrical Eng. & Systems 2021-12-20 Christophe Kervazo , Nicolas Gillis , Nicolas Dobigeon