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In this paper, we propose a new algorithm that efficiently separates a directional source and diffuse background noise based on independent low-rank matrix analysis (ILRMA). ILRMA is one of the state-of-the-art techniques of blind source…

Sound · Computer Science 2019-06-19 Yuki Kubo , Norihiro Takamune , Daichi Kitamura , Hiroshi Saruwatari

An important preprocessing step in most data analysis pipelines aims to extract a small set of sources that explain most of the data. Currently used algorithms for blind source separation (BSS), however, often fail to extract the desired…

Machine Learning · Statistics 2018-03-26 Alexander Böttcher , Wieland Brendel , Bernhard Englitz , Matthias Bethge

In the context of Independent Component Analysis (ICA), noisy mixtures pose a dilemma regarding the desired objective. On one hand, a "maximally separating" solution, providing the minimal attainable Interference-to-Source-Ratio (ISR),…

Applications · Statistics 2019-10-02 Amir Weiss , Arie Yeredor

Single channel blind source separation (SCBSS) refers to separate multiple sources from a mixed signal collected by a single sensor. The existing methods for SCBSS mainly focus on separating two sources and have weak generalization…

Machine Learning · Computer Science 2021-11-23 Ting Liu , Wenwu Wang , Xiaofei Zhang , Zhenyin Gong , Yina Guo

The quantitative composition of metal alloy nanowires on InSb(001) semiconductor surface and gold nanostructures on germanium surface is determined by blind source separation (BSS) machine learning (ML) method using non negative matrix…

Mesoscale and Nanoscale Physics · Physics 2017-10-17 Benedykt R. Jany , Arkadiusz Janas , Franciszek Krok

We study inference and learning based on a sparse coding model with `spike-and-slab' prior. As in standard sparse coding, the model used assumes independent latent sources that linearly combine to generate data points. However, instead of…

Machine Learning · Statistics 2014-10-08 Abdul-Saboor Sheikh , Jacquelyn A. Shelton , Jörg Lücke

Sparsity and rank functions are important ways of regularizing under-determined linear systems. Optimization of the resulting formulations is made difficult since both these penalties are non-convex and discontinuous. The most common remedy…

Optimization and Control · Mathematics 2019-01-01 Carl Olsson , Marcus Carlsson , Daniele Gerosa

Multivariate measurements taken at different spatial locations occur frequently in practice. Proper analysis of such data needs to consider not only dependencies on-sight but also dependencies in and in-between variables as a function of…

Methodology · Statistics 2024-04-12 Christoph Muehlmann , Peter Filzmoser , Klaus Nordhausen

We develop a new formalism for the component separation method Spectral Matching Independent Component Analysis (SMICA) in order to include the information contained in the foregrounds beyond second-order statistics. We also develop a…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-19 M. Citran , H. V. Tran , G. Patanchon , B. van Tent

We investigate which loss functions provide better separations via benchmarking an extensive set of those for music source separation. To that end, we first survey the most representative audio source separation losses we identified, to…

Sound · Computer Science 2022-02-17 Enric Gusó , Jordi Pons , Santiago Pascual , Joan Serrà

We introduce a noise-aware extension to the parametric maximum-likelihood framework for component separation by modeling correlated $1/f^\alpha$ noise as a harmonic-space power law. This approach addresses a key limitation of existing…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-07 Goureesankar Sathyanathan , Josquin Errard , Soumen Basak

Blind source separation (BSS) plays a pivotal role in modern astrophysics by enabling the extraction of scientifically meaningful signals from multi-frequency observations. Traditional BSS methods, such as those relying on fixed wavelet…

Instrumentation and Methods for Astrophysics · Physics 2026-01-28 V. Bonjean , A. Gkogkou , J. L. Starck , P. Tsakalides

The boundary element method (BEM) enables the efficient electromagnetic modelling of lossy conductors with a surface-based discretization. Existing BEM techniques for conductor modelling require either expensive dual basis functions or the…

Computational Physics · Physics 2020-12-29 Shashwat Sharma , Piero Triverio

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

Algorithms for Blind Source Separation (BSS) of acoustic signals require efficient and fast converging optimization strategies to adapt to nonstationary signal statistics and time-varying acoustic scenarios. In this paper, we derive fast…

Signal Processing · Electrical Eng. & Systems 2021-07-23 Andreas Brendel , Walter Kellermann

This work introduces a new method for selecting the number of components in finite mixture models (FMMs) using variational Bayes, inspired by the large-sample properties of the Evidence Lower Bound (ELBO) derived from mean-field (MF)…

Methodology · Statistics 2026-04-23 Chenyang Wang , Yun Yang

In this paper, we consider the problem of blind estimation of states and topology (BEST) in power systems. We use the linearized DC model of real power measurements with unknown voltage phases (i.e. states) and an unknown admittance matrix…

Information Theory · Computer Science 2019-03-27 Sivan Grotas , Yair Yakoby , Idan Gera , Tirza Routtenberg

Supervised deep learning approaches to underdetermined audio source separation achieve state-of-the-art performance but require a dataset of mixtures along with their corresponding isolated source signals. Such datasets can be extremely…

The extraction of nonstationary signals from blind and semi-blind multivariate observations is a recurrent problem. Numerous algorithms have been developed for this problem, which are based on the exact or approximate joint diagonalization…

Signal Processing · Electrical Eng. & Systems 2021-08-27 Reza Sameni , Christian Jutten

The observation of the polarised emission from the Cosmic Microwave Background (CMB) from future ground-based and satellite-borne experiments holds the promise of indirectly detecting the elusive signal from primordial tensor fluctuations…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-22 Susanna Azzoni , David Alonso , Maximilian H. Abitbol , Josquin Errard , Nicoletta Krachmalnicoff
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