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This paper proposes a novel joint channel-estimation and source-detection algorithm using successive interference cancellation (SIC)-aided generative score-based diffusion models. Prior work in this area focuses on massive MIMO scenarios,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Sagnik Bhattacharya , Muhammad Ahmed Mohsin , Kamyar Rajabalifardi , John M. Cioffi

Non-Gaussianity-based Independent Vector Extraction leads to the famous one-unit FastICA/FastIVA algorithm when the likelihood function is optimized using an approximate Newton-Raphson algorithm under the orthogonality constraint. In this…

Signal Processing · Electrical Eng. & Systems 2024-07-15 Zbyněk Koldovský , Jiří Málek , Jaroslav Čmejla , Stephen O'Regan

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

Blind Source Separation (BSS) is a challenging matrix factorization problem that plays a central role in multichannel imaging science. In a large number of applications, such as astrophysics, current unmixing methods are limited since…

Applications · Statistics 2017-11-22 Ming Jiang , Jérôme Bobin , Jean-Luc Starck

We propose a spatial loss for unsupervised multi-channel source separation. The proposed loss exploits the duality of direction of arrival (DOA) and beamforming: the steering and beamforming vectors should be aligned for the target source,…

Audio and Speech Processing · Electrical Eng. & Systems 2022-04-04 Kohei Saijo , Robin Scheibler

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

In this work, we propose an alternating low-rank decomposition (ALRD) approach and novel subspace algorithms for direction-of-arrival (DOA) estimation. In the ALRD scheme, the decomposition matrix for rank reduction is composed of a set of…

Information Theory · Computer Science 2016-04-18 Yunlong Cai , Linzheng Qiu , Rodrigo C. de Lamare , Minjian Zhao

Multivariate Singular Spectrum Analysis (MSSA) is a powerful and widely used nonparametric method for multivariate time series, which allows the analysis of complex temporal data from diverse fields such as finance, healthcare, ecology, and…

Methodology · Statistics 2024-07-08 Fabio Centofanti , Mia Hubert , Biagio Palumbo , Peter J. Rousseeuw

This paper investigates a downlink multiple-input single-output intelligent reflecting surface (IRS) aided non-orthogonal multiple access (NOMA) system, where a base station (BS) serves multiple users with the aid of IRSs. Our goal is to…

Signal Processing · Electrical Eng. & Systems 2020-11-12 Xidong Mu , Yuanwei Liu , Li Guo , Jiaru Lin , Naofal Al-Dhahir

We make use of a large set of fast simulations of an intensity mapping experiment with characteristics similar to those expected of the Square Kilometre Array (SKA) in order to study the viability and limits of blind foreground subtraction…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 David Alonso , Philip Bull , Pedro G. Ferreira , Mario G. Santos

Blind source separation, particularly through independent component analysis (ICA), is widely utilized across various signal processing domains for disentangling underlying components from observed mixed signals, owing to its fully…

Methodology · Statistics 2026-01-06 Qiang Li , Shujian Yu , Liang Ma , Chen Ma , Jingyu Liu , Tulay Adali , Vince D. Calhoun

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 propose a joint estimation method for the Direction-of-Arrival (DoA) and the Noise Covariance Matrix (NCM) tailored for beamforming applications. Building upon an existing NCM framework, our approach simplifies the estimation procedure…

Audio and Speech Processing · Electrical Eng. & Systems 2026-01-21 Vitor Gelsleichter Probst Curtarelli , Stephan Paul , Anderson Wedderhoff Spengler

Representational Similarity Analysis (RSA) aims to explore similarities between neural activities of different stimuli. Classical RSA techniques employ the inverse of the covariance matrix to explore a linear model between the neural…

Neurons and Cognition · Quantitative Biology 2018-09-13 Xiaoliang Sheng , Muhammad Yousefnezhad , Tonglin Xu , Ning Yuan , Daoqiang Zhang

The planned Laser Interferometer Space Antenna (LISA) will detect gravitational wave signals from a wide range of sources. However, disentangling individual signals from the source-dominated data stream is a challenging problem and the…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Jonathan R Gair , Gareth Jones

Low-rank matrix approximation (LRMA) is a powerful technique for signal processing and pattern analysis. However, its potential for data compression has not yet been fully investigated in the literature. In this paper, we propose sparse…

Multimedia · Computer Science 2016-02-22 Junhui Hou , Lap-Pui Chau , Nadia Magnenat-Thalmann , Ying He

Large spatiotemporal datasets are a challenge for conventional Bayesian models because of the cubic computational complexity of the algorithms for obtaining the Cholesky decomposition of the covariance matrix in the multivariate normal…

Computation · Statistics 2021-04-19 Luc Villandré , Jean-François Plante , Thierry Duchesne , Patrick Brown

Intelligent reflecting surface (IRS) as a promising technology rendering high throughput in future communication systems is compatible with various communication techniques such as non-orthogonal multiple-access (NOMA). In this paper, the…

Information Theory · Computer Science 2022-03-17 Yasaman Omid , S. M. Mahdi Shahabi , Cunhua Pan , Yansha Deng , Arumugam Nallanathan

The Laser Interferometer Space Antenna (LISA) will observe gravitational waves in the millihertz frequency band, detecting signals from a vast number of astrophysical sources embedded in instrumental noise. Extracting individual signals…

Instrumentation and Methods for Astrophysics · Physics 2025-06-30 Niklas Houba

In this letter, we propose a novel low-rank quaternion approximation (LRQA) model by directly constraining the quaternion rank prior for effectively removing the noise in color images. The LRQA model treats the color image holistically…

Image and Video Processing · Electrical Eng. & Systems 2020-06-02 Jifei Miao , Kit Ian Kou
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