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This paper is concerned with the fundamental problem of estimating chirp parameters from a mixture of linear chirp signals. Unlike most previous methods, which solve the problem by discretizing the parameter space and then estimating the…

Signal Processing · Electrical Eng. & Systems 2025-03-20 Dehui Yang , Feng Xi

The resurgence of deep neural networks has created an alternative pathway for low-dose computed tomography denoising by learning a nonlinear transformation function between low-dose CT (LDCT) and normal-dose CT (NDCT) image pairs. However,…

Image and Video Processing · Electrical Eng. & Systems 2022-11-04 Sutanu Bera , Prabir Kumar Biswas

In this paper, we mainly study one class of convex mixed-integer nonlinear programming problems (MINLPs) with non-differentiable data. By dropping the differentiability assumption, we substitute gradients with subgradients obtained from KKT…

Optimization and Control · Mathematics 2015-09-22 Zhou Wei , M. Montaz Ali

Sparse optimization refers to an optimization problem involving the zero-norm in objective or constraints. In this paper, nonconvex approximation approaches for sparse optimization have been studied with a unifying point of view in DC…

Numerical Analysis · Computer Science 2014-07-23 Hoai An Le Thi , Tao Pham Dinh , Hoai Minh Le , Xuan Thanh Vo

Self-supervised real-world image denoising remains a fundamental challenge, arising from the antagonistic trade-off between decorrelating spatially structured noise and preserving high-frequency details. Existing blind-spot network (BSN)…

Computer Vision and Pattern Recognition · Computer Science 2026-04-02 Yiwen Shan , Haiyu Zhao , Peng Hu , Xi Peng , Yuanbiao Gou

We present a new procedure rooted in deep learning to construct science images from data cubes collected by astronomical instruments using HxRG detectors in low-flux regimes. It improves on the drawbacks of the conventional algorithms to…

Instrumentation and Methods for Astrophysics · Physics 2022-05-30 Guillaume Payeur , Étienne Artigau , Laurence Perreault-Levasseur , René Doyon

In this paper, a filtering approach for the 3D magnetic resonance imaging (MRI) assuming a Rician model for noise is addressed. Our denoising method is based on the Conventional Approach (CA) proposed to deal with the noise issue in the…

Computer Vision and Pattern Recognition · Computer Science 2016-08-24 Sona Morajab , Mehregan Mahdavi

In a recent article series, the authors have promoted convex optimization algorithms for radio-interferometric imaging in the framework of compressed sensing, which leverages sparsity regularization priors for the associated inverse problem…

Instrumentation and Methods for Astrophysics · Physics 2014-04-01 Rafael E. Carrillo , Jason D. McEwen , Yves Wiaux

In a regression setting we propose algorithms that reduce the dimensionality of the features while simultaneously maximizing a statistical measure of dependence known as distance correlation between the low-dimensional features and a…

Machine Learning · Computer Science 2017-02-20 Praneeth Vepakomma , Ahmed Elgammal

The mirror descent algorithm is known to be effective in situations where it is beneficial to adapt the mirror map to the underlying geometry of the optimization model. However, the effect of mirror maps on the geometry of distributed…

Optimization and Control · Mathematics 2024-03-13 Anastasia Borovykh , Nikolas Kantas , Panos Parpas , Grigorios A. Pavliotis

Contrast enhancement and noise removal are coupled problems for low-light image enhancement. The existing Retinex based methods do not take the coupling relation into consideration, resulting in under or over-smoothing of the enhanced…

Image and Video Processing · Electrical Eng. & Systems 2019-11-27 Yang Wang , Yang Cao , Zheng-Jun Zha , Jing Zhang , Zhiwei Xiong , Wei Zhang , Feng Wu

Hyperspectral images play a crucial role in precision agriculture, environmental monitoring or ecological analysis. However, due to sensor equipment and the imaging environment, the observed hyperspectral images are often inevitably…

Computer Vision and Pattern Recognition · Computer Science 2023-11-27 Jiang He , Yajie Li , Jie L , Qiangqiang Yuan

Massive multiple-input multiple-output (mMIMO) technology is considered a key enabler for the 5G and future wireless networks. In most wireless communication systems, mMIMO is employed together with orthogonal frequency-division…

Networking and Internet Architecture · Computer Science 2023-07-03 Marcin Wachowiak , Pawel Kryszkiewicz

This paper considers nonconvex distributed constrained optimization over networks, modeled as directed (possibly time-varying) graphs. We introduce the first algorithmic framework for the minimization of the sum of a smooth nonconvex…

Optimization and Control · Mathematics 2018-09-05 Gesualdo Scutari , Ying Sun

Real-world image noise removal is a long-standing yet very challenging task in computer vision. The success of deep neural network in denoising stimulates the research of noise generation, aiming at synthesizing more clean-noisy image pairs…

Computer Vision and Pattern Recognition · Computer Science 2020-07-14 Zongsheng Yue , Qian Zhao , Lei Zhang , Deyu Meng

We study binary optimization problems of the form \( \min_{x\in\{-1,1\}^n} f(Ax-b) \) with possibly nonsmooth loss \(f\). Following the lifted rank-one semidefinite programming (SDP) approach\cite{qian2023matrix}, we develop a…

Optimization and Control · Mathematics 2026-01-07 Lianghai Xiao , Yitian Qian , Shaohua Pan

Spatial mode demultiplexing was proved to be a successful tool for estimation of the separation between incoherent sources, allowing for sensitivity much below the Rayleigh limit. However, with the presence of measurement's noise,…

Quantum Physics · Physics 2024-07-23 Fattah Sakuldee , Łukasz Rudnicki

The signal demixing problem seeks to separate a superposition of multiple signals into its constituent components. This paper studies a two-stage approach that first decompresses and subsequently deconvolves the noisy and undersampled…

Information Retrieval · Computer Science 2022-05-25 Zhenan Fan , Halyun Jeong , Babhru Joshi , Michael P. Friedlander

We consider a class of nonconvex nonsmooth optimization problems whose objective is the sum of a smooth function and a finite number of nonnegative proper closed possibly nonsmooth functions (whose proximal mappings are easy to compute),…

Optimization and Control · Mathematics 2018-05-29 Tianxiang Liu , Ting Kei Pong , Akiko Takeda

We consider the problem of imaging sparse scenes from a few noisy data using an $l_1$-minimization approach. This problem can be cast as a linear system of the form $A \, \rho =b$, where $A$ is an $N\times K$ measurement matrix. We assume…

Image and Video Processing · Electrical Eng. & Systems 2020-04-22 Miguel Moscoso , Alexei Novikov , George Papanicolaou , Chrysoula Tsogka