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We present a new probabilistic method for detecting, deblending, and cataloging astronomical sources called the Bayesian Light Source Separator (BLISS). BLISS is based on deep generative models, which embed neural networks within a Bayesian…

Instrumentation and Methods for Astrophysics · Physics 2022-07-13 Derek Hansen , Ismael Mendoza , Runjing Liu , Ziteng Pang , Zhe Zhao , Camille Avestruz , Jeffrey Regier

Motivation: Modelling methods that find structure in data are necessary with the current large volumes of genomic data, and there have been various efforts to find subsets of genes exhibiting consistent patterns over subsets of treatments.…

Machine Learning · Computer Science 2016-09-15 Kerstin Bunte , Eemeli Leppäaho , Inka Saarinen , Samuel Kaski

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

Extraction of latent sources of complex stimuli is critical for making sense of the world. While the brain solves this blind source separation (BSS) problem continuously, its algorithms remain unknown. Previous work on…

Signal Processing · Electrical Eng. & Systems 2022-11-28 Bariscan Bozkurt , Cengiz Pehlevan , Alper T. Erdogan

Blind signal separation (BSS) is an important and challenging signal processing task. Given an observed signal which is a superposition of a collection of unknown (hidden/latent) signals, BSS aims at recovering the separate, underlying…

Numerical Analysis · Mathematics 2024-06-25 Truman Hickok , Sriram Nagaraj

Any CNF formula can be decomposed two blocked subsets such that both can be solved by BCE (Blocked Clause Elimination). To make the decomposition more useful, one hopes to have the decomposition as unbalanced as possible. It is often time…

Logic in Computer Science · Computer Science 2015-12-22 Jingchao Chen

Two blind source separation methods (Independent Component Analysis and Non-negative Matrix Factorization), developed initially for signal processing in engineering, found recently a number of applications in analysis of large-scale data in…

Quantitative Methods · Quantitative Biology 2015-02-03 Andrei Zinovyev , Ulykbek Kairov , Tatiana Karpenyuk , Erlan Ramanculov

Tackling unsupervised source separation jointly with an additional inverse problem such as deconvolution is central for the analysis of multi-wavelength data. This becomes highly challenging when applied to large data sampled on the sphere…

Signal Processing · Electrical Eng. & Systems 2020-12-24 Rémi Carloni Gertosio , Jérôme Bobin

Blind single-channel source separation is a long standing signal processing challenge. Many methods were proposed to solve this task utilizing multiple signal priors such as low rank, sparsity, temporal continuity etc. The recent advance of…

Signal Processing · Electrical Eng. & Systems 2019-05-17 Yedid Hoshen

Blind Source Separation is a widely used technique to analyze multichannel data. In many real-world applications, its results can be significantly hampered by the presence of unknown outliers. In this paper, a novel algorithm coined rGMCA…

Applications · Statistics 2016-04-26 Cecile Chenot , Jerome Bobin , Jeremy Rapin

For better learning, large datasets are often split into small batches and fed sequentially to the predictive model. In this paper, we study such batch decompositions from a probabilistic perspective. We assume that data points (possibly…

Machine Learning · Computer Science 2025-04-10 Ghurumuruhan Ganesan

Stakeholders' expectations and technology constantly evolve during the lengthy development cycles of a large-scale computer based system. Consequently, the traditional approach of baselining requirements results in an unsatisfactory system…

Software Engineering · Computer Science 2016-11-18 Ramya Ravichandar , James D. Arthur , Robert P. Broadwater

In order to overcome the limitations imposed by DNA barcoding when multiplexing a large number of samples in the current generation of high-throughput sequencing instruments, we have recently proposed a new protocol that leverages advances…

Quantitative Methods · Quantitative Biology 2013-08-02 Denisa Duma , Mary Wootters , Anna C. Gilbert , Hung Q. Ngo , Atri Rudra , Matthew Alpert , Timothy J. Close , Gianfranco Ciardo , Stefano Lonardi

This paper investigates universal polar coding schemes. In particular, a notion of ordering (called convolutional path) is introduced between probability distributions to determine when a polar compression (or communication) scheme designed…

Information Theory · Computer Science 2010-12-03 Emmanuel Abbe

Spuriousness arises when there is an association between two or more variables in a dataset that are not causally related. In this work, we propose an explainability framework to preemptively disentangle the nature of such spurious…

Machine Learning · Computer Science 2025-11-17 Barproda Halder , Faisal Hamman , Pasan Dissanayake , Qiuyi Zhang , Ilia Sucholutsky , Sanghamitra Dutta

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

Uncertainty decomposition refers to the task of decomposing the total uncertainty of a predictive model into aleatoric (data) uncertainty, resulting from inherent randomness in the data-generating process, and epistemic (model) uncertainty,…

Computation and Language · Computer Science 2024-06-12 Bairu Hou , Yujian Liu , Kaizhi Qian , Jacob Andreas , Shiyu Chang , Yang Zhang

Ex-post harmonisation is one of many data preprocessing processes used to combine the increasingly vast and diverse sources of data available for research and analysis. Documenting provenance and ensuring the quality of multi-source…

Databases · Computer Science 2024-06-21 Cynthia A. Huang

This paper proposes an efficient bitwise solution to the single-channel source separation task. Most dictionary-based source separation algorithms rely on iterative update rules during the run time, which becomes computationally costly…

Sound · Computer Science 2017-12-04 Lijiang Guo , Minje Kim

Multivariate information decompositions hold promise to yield insight into complex systems, and stand out for their ability to identify synergistic phenomena. However, the adoption of these approaches has been hindered by there being…

Information Theory · Computer Science 2020-12-02 Fernando Rosas , Pedro Mediano , Borzoo Rassouli , Adam Barrett