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Here we consider the problem of denoising features associated to complex data, modeled as signals on a graph, via a smoothness prior. This is motivated in part by settings such as single-cell RNA where the data is very high-dimensional, but…

Machine Learning · Computer Science 2023-12-12 Sam Leone , Xingzhi Sun , Michael Perlmutter , Smita Krishnaswamy

Gaussian processes are a flexible Bayesian nonparametric modelling approach that has been widely applied but poses computational challenges. To address the poor scaling of exact inference methods, approximation methods based on sparse…

Machine Learning · Statistics 2021-06-01 Rui Meng , Herbert Lee , Soper Braden , Priyadip Ray

We present results from searches of recent LIGO and Virgo data for continuous gravitational wave signals (CW) from spinning neutron stars and for a stochastic gravitational wave background (SGWB). The first part of the talk is devoted to CW…

Instrumentation and Methods for Astrophysics · Physics 2019-08-13 C. Palomba

The stochastic gravitational wave background (SGWB) is conventionally treated as a passive relic of its astrophysical and cosmological sources, with negligible back-reaction on the matter content of the Universe. Here we show that this…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-10 Manjia Liang , Peng Xu , Ruijun Shi , Zhoujian Cao , Ziren Luo , Minghui Du , Qiong Deng , Bo Liang , Jiaxiang Liang

Superposition of unresolved sources of gravitational waves (GW) is expected to create a persistent background of stochastic gravitational wave background (SGWB). Different types of astrophysical and cosmological sources are however likely…

General Relativity and Quantum Cosmology · Physics 2019-04-11 Abhishek Parida , Jishnu Suresh , Sanjit Mitra , Sanjay Jhingan

We study the reknown deconvolution problem of recovering a distribution function from independent replicates (signal) additively contaminated with random errors (noise), whose distribution is known. We investigate whether a Bayesian…

Statistics Theory · Mathematics 2021-11-15 Judith Rousseau , Catia Scricciolo

Although much research has been devoted to the problem of restoring Poissonian images, namely in the fields of medical and astronomical imaging, applying the state of the art regularizers (such as those based on wavelets or total variation)…

Optimization and Control · Mathematics 2009-05-01 Mario A. T. Figueiredo , Jose M. Bioucas-Dias

The stochastic gravitational wave background is a broadband target from diverse astrophysical and cosmological sources. The background falls within the mHz frequency band could become a potential observable for future space-based…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-21 Yang Jiang , Qing-Guo Huang

We propose a deconvolution algorithm for images blurred and degraded by a Poisson noise. The algorithm uses a fast proximal backward-forward splitting iteration. This iteration minimizes an energy which combines a \textit{non-linear} data…

Applications · Statistics 2008-12-18 François-Xavier Dupé , Jalal Fadili , Jean Luc Starck

A successful class of image denoising methods is based on Bayesian approaches working in wavelet representations. However, analytical estimates can be obtained only for particular combinations of analytical models of signal and noise, thus…

Computer Vision and Pattern Recognition · Computer Science 2016-02-02 Valero Laparra , Juan Gutiérrez , Gustavo Camps-Valls , Jesús Malo

We consider the Bayesian detection statistic for a targeted search for continuous gravitational waves, known as the $\mathcal{B}$-statistic. This is a Bayes factor between signal and noise hypotheses, produced by marginalizing over the four…

General Relativity and Quantum Cosmology · Physics 2018-12-19 John J. Bero , John T. Whelan

Diffusion MRI is a well established imaging modality providing a powerful way to probe the structure of the white matter non-invasively. Despite its potential, the intrinsic long scan times of these sequences have hampered their use in…

Quantitative Methods · Quantitative Biology 2013-12-31 Alessandro Daducci , Dimitri Van De Ville , Jean-Philippe Thiran , Yves Wiaux

Gravitational wave astronomy is a rapidly growing field of modern astrophysics, with observations being made frequently by the LIGO detectors. Gravitational wave signals are often extremely weak and the data from the detectors, such as…

General Relativity and Quantum Cosmology · Physics 2020-01-31 Hongyu Shen , Daniel George , E. A. Huerta , Zhizhen Zhao

A future detection of the Stochastic Gravitational Wave Background (SGWB) with GW experiments is expected to open a new window on early universe cosmology and on the astrophysics of compact objects. In this paper we study SGWB anisotropies,…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-22 N. Bartolo , D. Bertacca , S. Matarrese , M. Peloso , A. Ricciardone , A. Riotto , G. Tasinato

In this this paper the stochastic background of gravitational waves (SBGWs) is analyzed with the auxilium of the WMAP data. We emphasize that, in general, in previous works in the literature about the SBGWs, old COBE data were used. After…

Astrophysics · Physics 2008-11-26 Christian Corda , Salvatore Capozziello , Mariafelicia De Laurentis

Image denoising is of vital importance in many imaging or computer vision related areas. With the convolutional neural networks showing strong capability in computer vision tasks, the performance of image denoising has also been brought up…

Computer Vision and Pattern Recognition · Computer Science 2021-12-23 Zhuang Jia

Convincing evidence of a stochastic gravitational wave (GW) background has been found by the NANOGrav Collaboration in the 15-year data set. From this signal, we can evaluate the possibility of its source being from the early Universe…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-30 Chris Choi , Jacob Magallanes , Murman Gurgenidze , Tina Kahniashvili

Convolutional Neural Networks (CNNs) have emerged as highly successful tools for image generation, recovery, and restoration. A major contributing factor to this success is that convolutional networks impose strong prior assumptions about…

Machine Learning · Computer Science 2020-02-25 Reinhard Heckel , Mahdi Soltanolkotabi

We present a maximum-likelihood analysis for estimating the angular distribution of power in an anisotropic stochastic gravitational-wave background using ground-based laser interferometers. The standard isotropic and gravitational-wave…

Instrumentation and Methods for Astrophysics · Physics 2013-09-05 Eric Thrane , Stefan Ballmer , Joseph D. Romano , Sanjit Mitra , Dipongkar Talukder , Sukanta Bose , Vuk Mandic

Burst denoising methods are crucial for enhancing images captured on handheld devices, but they often struggle with large motion or suffer from prohibitive computational costs. In this paper, we propose DenoiseGS, the first framework to…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Yongsen Cheng , Yuanhao Cai , Yulun Zhang
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