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Maximum Likelihood (ML) estimation requires precise knowledge of the underlying statistical model. In Quasi ML (QML), a presumed model is used as a substitute to the (unknown) true model. In the context of Independent Vector Analysis (IVA),…

Signal Processing · Electrical Eng. & Systems 2020-09-01 Amir Weiss , Sher Ali Cheema , Martin Haardt , Arie Yeredor

Independent vector analysis (IVA) is an attractive solution to address the problem of joint blind source separation (JBSS), that is, the simultaneous extraction of latent sources from several datasets implicitly sharing some information.…

Optimization and Control · Mathematics 2024-11-20 Clément Cosserat , Ben Gabrielson , Emilie Chouzenoux , Jean-Christophe Pesquet , Tülay Adali

We address the convolutive blind source separation problem for the (over-)determined case where (i) the number of nonstationary target-sources $K$ is less than that of microphones $M$, and (ii) there are up to $M - K$ stationary Gaussian…

Audio and Speech Processing · Electrical Eng. & Systems 2022-06-20 Rintaro Ikeshita , Tomohiro Nakatani , Shoko Araki

Independent component analysis (ICA) is a widely used BSS method that can uniquely achieve source recovery, subject to only scaling and permutation ambiguities, through the assumption of statistical independence on the part of the latent…

Machine Learning · Statistics 2018-01-29 Zois Boukouvalas

Independent component analysis (ICA) is now a widely used solution for the analysis of multi-subject functional magnetic resonance imaging (fMRI) data. Independent vector analysis (IVA) generalizes ICA to multiple datasets, i.e., to…

Signal Processing · Electrical Eng. & Systems 2023-11-10 Trung Vu , Francisco Laport , Hanlu Yang , Vince D. Calhoun , Tulay Adali

Independent Vector Analysis (IVA) is an effective approach for Blind Source Separation (BSS) of convolutive mixtures of audio signals. As a practical realization of an IVA-based BSS algorithm, the so-called AuxIVA update rules based on the…

Audio and Speech Processing · Electrical Eng. & Systems 2020-09-22 Andreas Brendel , Walter Kellermann

Recently, an extension of independent component analysis (ICA) from one to multiple datasets, termed independent vector analysis (IVA), has been the subject of significant research interest. IVA has also been shown to be a generalization of…

Machine Learning · Computer Science 2016-08-11 Matthew Anderson , Geng-Shen Fu , Ronald Phlypo , Tülay Adalı

Independent Vector Analysis (IVA) is a popular extension of Independent Component Analysis (ICA) for joint separation of a set of instantaneous linear mixtures, with a direct application in frequency-domain speaker separation or extraction.…

Audio and Speech Processing · Electrical Eng. & Systems 2023-04-05 Zbyněk Koldovský , Jaroslav Čmejla , Tülay Adalı , Stephen O'Regan

In this work, we propose efficient algorithms for joint independent subspace analysis (JISA), an extension of independent component analysis that deals with parallel mixtures, where not all the components are independent. We derive an…

Signal Processing · Electrical Eng. & Systems 2020-04-09 Robin Scheibler , Nobutaka Ono

This paper presents Cram\'er-Rao Lower Bound (CRLB) for the complex-valued Blind Source Extraction (BSE) problem based on the assumption that the target signal is independent of the other signals. Two instantaneous mixing models are…

Statistics Theory · Mathematics 2020-10-28 Václav Kautský , Zbyněk Koldovský , Petr Tichavský , Vicente Zarzoso

We propose a new algorithm for blind source separation (BSS) using independent vector analysis (IVA). This is an improvement over the popular auxiliary function based IVA (AuxIVA) with iterative projection (IP) or iterative source steering…

Signal Processing · Electrical Eng. & Systems 2021-05-20 Robin Scheibler

Independent component analysis (ICA) is a statistical method for transforming an observable multi-dimensional random vector into components that are as statistically independent as possible from each other. Usually the ICA framework assumes…

Machine Learning · Statistics 2018-11-21 Amichai Painsky

Independent low-rank matrix analysis (ILRMA) is a fast and stable method for blind audio source separation. Conventional ILRMAs assume time-variant (super-)Gaussian source models, which can only represent signals that follow a…

Audio and Speech Processing · Electrical Eng. & Systems 2018-08-27 Shinichi Mogami , Norihiro Takamune , Daichi Kitamura , Hiroshi Saruwatari , Yu Takahashi , Kazunobu Kondo , Hiroaki Nakajima , Nobutaka Ono

We present a Maximum A Posteriori (MAP) derivation of the Independent Vector Analysis (IVA) algorithm, a blind source separation algorithm, by incorporating a prior over the demixing matrices, relying on a free-field model. In this way, the…

Signal Processing · Electrical Eng. & Systems 2020-01-17 Andreas Brendel , Thomas Haubner , Walter Kellermann

Blind source separation (BSS), particularly independent component analysis (ICA), has been widely used in various fields of science such as biomedical signal processing to recover latent source signals from the observed mixture. While ICA…

Methodology · Statistics 2026-01-14 Miro Arvila , Klaus Nordhausen , Mika Sipilä , Sara Taskinen

Independent component analysis (ICA) is a blind source separation method for linear disentanglement of independent latent sources from observed data. We investigate the special setting of noisy linear ICA where the observations are split…

Machine Learning · Computer Science 2023-03-06 Teodora Pandeva , Patrick Forré

We consider the framework of Independent Component Analysis (ICA) for the case where the independent sources and their linear mixtures all reside in a Galois field of prime order P. Similarities and differences from the classical ICA…

Information Theory · Computer Science 2010-07-14 Arie Yeredor

We extend frequency-domain blind source separation based on independent vector analysis to the case where there are more microphones than sources. The signal is modelled as non-Gaussian sources in a Gaussian background. The proposed…

Sound · Computer Science 2019-08-08 Robin Scheibler , Nobutaka Ono

Multichannel blind source separation (MBSS), which focuses on separating signals of interest from mixed observations, has been extensively studied in acoustic and speech processing. Existing MBSS algorithms, such as independent low-rank…

Sound · Computer Science 2025-04-08 Jianyu Wang , Shanzheng Guan , Zhengqiao Zhao , Nicolas Dobigeon , Jingdong Chen

The problem of distributed representation learning is one in which multiple sources of information $X_1,\ldots,X_K$ are processed separately so as to learn as much information as possible about some ground truth $Y$. We investigate this…

Machine Learning · Statistics 2019-04-02 Inaki Estella Aguerri , Abdellatif Zaidi
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