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We propose a new method to enforce priors on the solution of the nonnegative matrix factorization (NMF). The proposed algorithm can be used for denoising or single-channel source separation (SCSS) applications. The NMF solution is guided to…

Machine Learning · Computer Science 2013-03-01 Emad M. Grais , Hakan Erdogan

Multiplicative noise widely exists in radar images, medical images and other important fields' images. Compared to normal noises, multiplicative noise has a generally stronger effect on the visual expression of images. Aiming at the…

Image and Video Processing · Electrical Eng. & Systems 2026-04-14 Xiao Siyao , Huang Libing , Zhang Shunsheng

In this paper, a Blind Source Separation (BSS) algorithm for multichannel audio contents is proposed. Unlike common BSS algorithms targeting stereo audio contents or microphone array signals, our technique is targeted at multichannel audio…

Sound · Computer Science 2015-12-29 Taejin Park , Taejin Lee

Speckle noise is a fundamental challenge in coherent imaging systems, significantly degrading image quality. Over the past decades, numerous despeckling algorithms have been developed for applications such as Synthetic Aperture Radar (SAR)…

Information Theory · Computer Science 2025-01-31 Ali Zafari , Shirin Jalali

We assume a spatial blind source separation model in which the observed multivariate spatial data is a linear mixture of latent spatially uncorrelated Gaussian random fields containing a number of pure white noise components. We propose a…

Statistics Theory · Mathematics 2024-04-12 Christoph Muehlmann , François Bachoc , Klaus Nordhausen , Mengxi Yi

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 introduce the sequential neural posterior and likelihood approximation (SNPLA) algorithm. SNPLA is a normalizing flows-based algorithm for inference in implicit models, and therefore is a simulation-based inference method that only…

Machine Learning · Statistics 2021-06-08 Samuel Wiqvist , Jes Frellsen , Umberto Picchini

The problem of source separation is by its very nature an inductive inference problem. There is not enough information to deduce the solution, so one must use any available information to infer the most probable solution. We demonstrate…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Kevin H. Knuth

We revisit the Blind Deconvolution problem with a focus on understanding its robustness and convergence properties. Provable robustness to noise and other perturbations is receiving recent interest in vision, from obtaining immunity to…

Computer Vision and Pattern Recognition · Computer Science 2018-03-23 Sathya N. Ravi , Ronak Mehta , Vikas Singh

Many datasets are obtained as a resolution trade-off between two adversarial dimensions; for example between the frequency and the temporal resolutions for the spectrogram of an audio signal, and between the number of wavelengths and the…

Signal Processing · Electrical Eng. & Systems 2021-12-20 Valentin Leplat , Nicolas Gillis , Cédric Févotte

Control of linear dynamics with multiplicative noise naturally introduces robustness against dynamical uncertainty. Moreover, many physical systems are subject to multiplicative disturbances. In this work we show how these dynamics can be…

Optimization and Control · Mathematics 2023-12-27 Peter Coppens , Panagiotis Patrinos

Background foreground separation (BFS) is a popular computer vision problem where dynamic foreground objects are separated from the static background of a scene. Typically, this is performed using consumer cameras because of their low cost,…

Image and Video Processing · Electrical Eng. & Systems 2021-08-16 Spencer Markowitz , Corey Snyder , Yonina C. Eldar , Minh N. Do

The separability assumption (Donoho & Stodden, 2003; Arora et al., 2012) turns non-negative matrix factorization (NMF) into a tractable problem. Recently, a new class of provably-correct NMF algorithms have emerged under this assumption. In…

Machine Learning · Statistics 2012-10-04 Abhishek Kumar , Vikas Sindhwani , Prabhanjan Kambadur

This paper proposes StrEBM, a structured latent energy-based model for source-wise structured representation learning. The framework is motivated by a broader goal of promoting identifiable and decoupled latent organization by assigning…

Machine Learning · Statistics 2026-04-21 Yuan-Hao Wei

State of the art audio source separation models rely on supervised data-driven approaches, which can be expensive in terms of labeling resources. On the other hand, approaches for training these models without any direct supervision are…

Machine Learning · Computer Science 2022-04-04 Michele Mancusi , Emilian Postolache , Giorgio Mariani , Marco Fumero , Andrea Santilli , Luca Cosmo , Emanuele Rodolà

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

We address the problem of super-resolution of point sources from binary measurements, where random projections of the blurred measurement of the actual signal are encoded using only the sign information. The threshold used for binary…

Information Theory · Computer Science 2016-06-14 Subhadip Mukherjee , Anjany Kumar Sekuboyina , Chandra Sekhar Seelamantula

We propose a novel unsupervised singing voice detection method which use single-channel Blind Audio Source Separation (BASS) algorithm as a preliminary step. To reach this goal, we investigate three promising BASS approaches which operate…

Sound · Computer Science 2018-05-04 Dominique Fourer , Geoffroy Peeters

Separating an audio scene into isolated sources is a fundamental problem in computer audition, analogous to image segmentation in visual scene analysis. Source separation systems based on deep learning are currently the most successful…

Sound · Computer Science 2018-11-07 Prem Seetharaman , Gordon Wichern , Jonathan Le Roux , Bryan Pardo

We revisit the Bayesian online inference problems for the linear dynamic systems (LDS) under non- Gaussian environment. The noises can naturally be non-Gaussian (skewed and/or heavy tailed) or to accommodate spurious observations, noises…

Computation · Statistics 2015-04-23 Saikat Saha