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Multichannel blind source separation (MBSS), which focuses on separating signals of interest from mixed observations, has been extensively studied in acoustic and speech processing. Existing MBSS algorithms, such as independent low-rank…

Sound · Computer Science 2025-04-08 Jianyu Wang , Shanzheng Guan , Zhengqiao Zhao , Nicolas Dobigeon , Jingdong Chen

We study a high-dimensional regression setting under the assumption of known covariate distribution. We aim at estimating the amount of explained variation in the response by the best linear function of the covariates (the signal level). In…

Statistics Theory · Mathematics 2022-05-12 Ilan Livne , David Azriel , Yair Goldberg

In medical SPECT imaging, we seek to simultaneously obtain the internal radioactive sources and the attenuation map using not only ballistic measurements but also first order scattering measurements. The problem is modeled using the…

Analysis of PDEs · Mathematics 2015-09-02 Matias Courdurier , Francois Monard , Axel Osses , Francisco Romero

We study the asymptotic behavior of piecewise constant least squares regression estimates, when the number of partitions of the estimate is penalized. We show that the estimator is consistent in the relevant metric if the signal is in…

Statistics Theory · Mathematics 2009-09-29 Leif Boysen , Volkmar Liebscher , Axel Munk , Olaf Wittich

This study introduces a novel unsupervised approach for separating overlapping heart and lung sounds using variational autoencoders (VAEs). In clinical settings, these sounds often interfere with each other, making manual separation…

Audio and Speech Processing · Electrical Eng. & Systems 2025-06-24 Yasaman Torabi , Shahram Shirani , James P. Reilly

Pooled imaging data from multiple sources is subject to bias from each source. Studies that do not correct for these scanner/site biases at best lose statistical power, and at worst leave spurious correlations in their data. Estimation of…

Quantitative Methods · Quantitative Biology 2020-06-02 Daniel Moyer , Greg Ver Steeg , Paul M. Thompson

Recently, end-to-end speaker extraction has attracted increasing attention and shown promising results. However, its performance is often inferior to that of a blind source separation (BSS) counterpart with a similar network architecture,…

Audio and Speech Processing · Electrical Eng. & Systems 2022-04-05 Zifeng Zhao , Dongchao Yang , Rongzhi Gu , Haoran Zhang , Yuexian Zou

The problem of detecting new signals in the presence of an unknown background is ubiquitous in scientific discoveries and is especially prominent in the physical sciences. Most solutions proposed thus far to address the problem focus on…

Methodology · Statistics 2026-05-21 Aritra Banerjee , Sara Algeri

Blind source separation (BSS) aims to recover an unobserved signal $S$ from its mixture $X=f(S)$ under the condition that the effecting transformation $f$ is invertible but unknown. As this is a basic problem with many practical…

Statistics Theory · Mathematics 2023-03-20 Alexander Schell

We experimentally demonstrate the simultaneous estimation of the three parameters characterizing a pair of incoherent optical sources in the sub-Rayleigh regime, enabling super-resolved scene characterization. Using spatial-mode…

We address a nonstationary blind source separation (BSS) problem. The model includes both nonstationary sources and mixing. Therefore, we introduce an algorithm for joint BSS and estimation of stationarity-breaking deformations and spectra.…

Signal Processing · Electrical Eng. & Systems 2018-12-05 Adrien Meynard

We present a method to determine the static aberrations in a nearly diffraction-limited spectrograph introduced, for example, by alignment or manufacturing errors. We consider an instrument with two stages separated by a slit or image…

Instrumentation and Methods for Astrophysics · Physics 2022-06-01 B. Sánchez , A. M. Watson , S. Cuevas

A common problem in the sciences is that a signal of interest is observed only indirectly, through smooth functionals of the signal whose values are then obscured by noise. In such inverse problems, the functionals dampen or entirely…

Methodology · Statistics 2012-07-04 Darren Homrighausen , Christopher R. Genovese

In this paper, a fresh procedure to handle image mixtures by means of blind signal separation relying on a combination of second order and higher order statistics techniques are introduced. The problem of blind signal separation is…

Computer Vision and Pattern Recognition · Computer Science 2016-03-29 Felipe P. do Carmo , Joaquim T. de Assis , Vania V. Estrela , Alessandra M. Coelho

Dark wavefront sensing takes shape following quantum mechanics concepts in which one is able to "see" an object in one path of a two-arm interferometer using an as low as desired amount of light actually "hitting" the occulting object. A…

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 propose a method for MIMO decoding when channel state information (CSI) is unknown to both the transmitter and receiver. The proposed method requires some structure in the transmitted signal for the decoding to be effective, in…

Signal Processing · Electrical Eng. & Systems 2018-02-06 Thomas R. Dean , Mary Wootters , Andrea J. Goldsmith

Sparse coding refers to the pursuit of the sparsest representation of a signal in a typically overcomplete dictionary. From a Bayesian perspective, sparse coding provides a Maximum a Posteriori (MAP) estimate of the unknown vector under a…

Signal Processing · Electrical Eng. & Systems 2019-09-04 Dror Simon , Jeremias Sulam , Yaniv Romano , Yue M. Lu , Michael Elad

Visual-to-auditory sensory substitution devices can assist the blind in sensing the visual environment by translating the visual information into a sound pattern. To improve the translation quality, the task performances of the blind are…

Computer Vision and Pattern Recognition · Computer Science 2019-04-22 Di Hu , Dong Wang , Xuelong Li , Feiping Nie , Qi Wang

Most linear dimension reduction methods proposed in the literature can be formulated using an appropriate pair of scatter matrices, see e.g. Ye and Weiss (2003), Tyler et al. (2009), Bura and Yang (2011), Liski et al. (2014) and Luo and Li…

Methodology · Statistics 2024-04-12 Klaus Nordhausen , Hannu Oja , David E. Tyler