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In this paper, a methodology is investigated for signal recovery in the presence of non-Gaussian noise. In contrast with regularized minimization approaches often adopted in the literature, in our algorithm the regularization parameter is…

Optimization and Control · Mathematics 2017-01-23 Yosra Marnissi , Yuling Zheng , Emilie Chouzenoux , Jean-Christophe Pesquet

This work examines a semi-blind single-channel source separation problem. Our specific aim is to separate one source whose local structure is approximately known, from another a priori unspecified background source, given only a single…

Sound · Computer Science 2015-01-27 Sirisha Rambhatla , Jarvis D. Haupt

Recent breakthroughs in language-queried audio source separation (LASS) have shown that generative models can achieve higher separation audio quality than traditional masking-based approaches. However, two key limitations restrict their…

Typical methods for binaural source separation consider only the direct sound as the target signal in a mixture. However, in most scenarios, this assumption limits the source separation performance. It is well known that the early…

Sound · Computer Science 2019-10-10 Luca Remaggi , Philip J. B. Jackson , Wenwu Wang

This paper provides examples of various synchronous and asynchronous signal processing systems for performing optimization, utilizing the framework and elements developed in a preceding paper. The general strategy in that paper was to…

Optimization and Control · Mathematics 2015-09-16 Thomas A. Baran , Tarek A. Lahlou

Estimating parameters of a diffusion process given continuous-time observations of the process via maximum likelihood approaches or, online, via stochastic gradient descent or Kalman filter formulations constitutes a well-established…

Methodology · Statistics 2025-03-17 Jan Albrecht , Sebastian Reich

Universal source separation targets at separating the audio sources of an arbitrary mix, removing the constraint to operate on a specific domain like speech or music. Yet, the potential of universal source separation is limited because most…

Sound · Computer Science 2023-10-03 Jordi Pons , Xiaoyu Liu , Santiago Pascual , Joan Serrà

Multiplicative noise (also known as speckle noise) models are central to the study of coherent imaging systems, such as synthetic aperture radar and sonar, and ultrasound and laser imaging. These models introduce two additional layers of…

Optimization and Control · Mathematics 2015-05-14 José M. Bioucas-Dias , Mário A. T. Figueiredo

We discuss how recently discovered techniques and tools from compressed sensing can be used in tensor decompositions, with a view towards modeling signals from multiple arrays of multiple sensors. We show that with appropriate bounds on a…

Numerical Analysis · Mathematics 2015-05-18 Lek-Heng Lim , Pierre Comon

Sound source proximity and distance estimation are of great interest in many practical applications, since they provide significant information for acoustic scene analysis. As both tasks share complementary qualities, ensuring efficient…

Sound · Computer Science 2021-07-27 Daniel Aleksander Krause , Archontis Politis , Annamaria Mesaros

We study the hardness of classically simulating Gaussian boson sampling at nonzero photon distinguishability. We find that similar to regular boson sampling, distinguishability causes exponential attenuation of the many-photon interference…

Quantum Physics · Physics 2020-07-08 Jelmer J. Renema

The lasso has become an important practical tool for high dimensional regression as well as the object of intense theoretical investigation. But despite the availability of efficient algorithms, the lasso remains computationally demanding…

Statistics Theory · Mathematics 2009-11-23 Christopher Genovese , Jiashun Jin , Larry Wasserman

We propose a new semi-parametric approach to the joint segmentation of multiple series corrupted by a functional part. This problem appears in particular in geodesy where GPS permanent station coordinate series are affected by undocumented…

Methodology · Statistics 2014-06-26 Karine Bertin , Xavier Collilieux , Emilie Lebarbier , Cristian Meza

A laser ablation ion source (LAS) is a powerful tool by which diverse species of ions can be produced for mass spectrometer calibration, or surface study applications. It is necessary to frequently shift the laser position on the target to…

Single-channel audio separation aims to separate individual sources from a single-channel mixture. Most existing methods rely on supervised learning with synthetically generated paired data. However, obtaining high-quality paired data in…

Audio and Speech Processing · Electrical Eng. & Systems 2025-12-24 Runwu Shi , Chang Li , Jiang Wang , Rui Zhang , Nabeela Khan , Benjamin Yen , Takeshi Ashizawa , Kazuhiro Nakadai

The SPS-LASSO has recently been introduced as a solution to the problem of regularization parameter selection in the complex-valued LASSO problem. Still, the dependence on the grid size and the polynomial time of performing convex…

Information Theory · Computer Science 2012-07-31 Ashkan Panahi , Mats Viberg

In this contribution, we present new algorithms to source separation for the case of noisy instantaneous linear mixture, within the Bayesian statistical framework. The source distribution prior is modeled by a mixture of Gaussians…

Data Analysis, Statistics and Probability · Physics 2009-11-07 Hichem Snoussi , Ali Mohammad-Djafari

This work is concerned with the problem of blind source separation and its applications to imaging. We first establish a theoretical result that we stated in our previous article on imaging in diffusive environments. This result is a…

Numerical Analysis · Mathematics 2026-02-12 Randy Bartels , Olivier Pinaud

Supervised multi-channel audio source separation requires extracting useful spectral, temporal, and spatial features from the mixed signals. The success of many existing systems is therefore largely dependent on the choice of features used…

Sound · Computer Science 2018-03-05 Emad M. Grais , Dominic Ward , Mark D. Plumbley

The Lasso is one of the most important approaches for parameter estimation and variable selection in high dimensional linear regression. At the heart of its success is the attractive rate of convergence result even when $p$, the dimension…

Statistics Theory · Mathematics 2019-08-09 Junlong Zhao , Chenlei Leng