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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

The task of clustering a set of objects based on multiple sources of data arises in several modern applications. We propose an integrative statistical model that permits a separate clustering of the objects for each data source. These…

Machine Learning · Statistics 2015-12-01 Eric F. Lock , David B. Dunson

This work studies distributed compression for the uplink of a cloud radio access network where multiple multi-antenna base stations (BSs) are connected to a central unit, also referred to as cloud decoder, via capacity-constrained backhaul…

Information Theory · Computer Science 2012-06-19 Seok-Hwan Park , Osvaldo Simeone , Onur Sahin , Shlomo Shamai

We present a new methodology for decomposing flows with multiple transports that further extends the shifted proper orthogonal decomposition (sPOD). The sPOD tries to approximate transport-dominated flows by a sum of co-moving data fields.…

Numerical Analysis · Mathematics 2025-03-07 Philipp Krah , Arthur Marmin , Beata Zorawski , Julius Reiss , Kai Schneider

Sparse Blind Source Separation (sparse BSS) is a key method to analyze multichannel data in fields ranging from medical imaging to astrophysics. However, since it relies on seeking the solution of a non-convex penalized matrix factorization…

Machine Learning · Computer Science 2018-12-18 Christophe Kervazo , Jerome Bobin , Cecile Chenot

Recent studies have highlighted the benefits of generating multiple synthetic datasets for supervised learning, from increased accuracy to more effective model selection and uncertainty estimation. These benefits have clear empirical…

Machine Learning · Computer Science 2025-04-28 Ossi Räisä , Antti Honkela

We consider two areas of research that have been developing in parallel over the last decade: blind source separation (BSS) and electromagnetic source estimation (ESE). BSS deals with the recovery of source signals when only mixtures of…

Data Analysis, Statistics and Probability · Physics 2015-01-22 Kevin H. Knuth , Herbert G. Vaughan

Source separation is one of the signal processing's main emerging domain. Many techniques such as maximum likelihood (ML), Infomax, cumulant matching, estimating function, etc. have been used to address this difficult problem.…

Mathematical Physics · Physics 2009-10-31 Ali Mohammad-Djafari

This paper introduces a framework for speeding up Bayesian inference conducted in presence of large datasets. We design a Markov chain whose transition kernel uses an (unknown) fraction of (fixed size) of the available data that is randomly…

Methodology · Statistics 2018-06-01 Florian Maire , Nial Friel , Pierre Alquier

Sparse principal component analysis (sPCA) enhances the interpretability of principal components (PCs) by imposing sparsity constraints on loading vectors (LVs). However, when used as a precursor to independent component analysis (ICA) for…

Computer Vision and Pattern Recognition · Computer Science 2024-11-20 Muhammad Usman Khalid

Submodular functions are at the core of many machine learning and data mining tasks. The underlying submodular functions for many of these tasks are decomposable, i.e., they are sum of several simple submodular functions. In many data…

Data Structures and Algorithms · Computer Science 2022-01-20 Akbar Rafiey , Yuichi Yoshida

Bayesian Positive Source Separation (BPSS) is a useful unsupervised approach for hyperspectral data unmixing, where numerical non-negativity of spectra and abundances has to be ensured, such in remote sensing. Moreover, it is sensible to…

Earth and Planetary Astrophysics · Physics 2010-12-17 Frederic Schmidt , Albrecht Schmidt , Erwan Treguier , Mael Guiheneuf , Said Moussaoui , Nicolas Dobigeon

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

Blind source separation (BSS) techniques aims at joint estimation of source signals and a mixing matrix from observations of mixtures. This paper addresses a doubly nonstationary BSS problem, where the mixing matrix is time dependent and…

Signal Processing · Electrical Eng. & Systems 2019-06-25 Adrien Meynard

We present an implementation of a blind source separation algorithm to remove foregrounds off millimeter surveys made by single-channel instruments. In order to make possible such a decomposition over single-wavelength data: we generate…

In this paper, we demonstrate some applications of compressive sensing over networks. We make a connection between compressive sensing and traditional information theoretic techniques in source coding and channel coding. Our results provide…

Information Theory · Computer Science 2010-12-07 Soheil Feizi , Muriel Medard , Michelle Effros

In structural health monitoring (SHM) systems, massive amounts of data are often generated that need data compression techniques to reduce the cost of signal transfer and storage. Compressive sensing (CS) is a novel data acquisition method…

Applications · Statistics 2014-12-16 Yong Huang , James L. Beck , Stephen Wu , Hui Li

In many inverse problems, model parameters cannot be precisely determined from observational data. Bayesian inference provides a mechanism for capturing the resulting parameter uncertainty, but typically at a high computational cost. This…

Computation · Statistics 2019-03-28 Matthew Parno , Tarek Moselhy , Youssef Marzouk

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

Unsourced random access is a novel communication paradigm designed for handling a large number of uncoordinated users that sporadically transmit very short messages. Under this model, coded compressed sensing (CCS) has emerged as a…

Information Theory · Computer Science 2021-07-22 Jamison R. Ebert , Vamsi K. Amalladinne , Stefano Rini , Jean-Francois Chamberland , Krishna R. Narayanan