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Related papers: Phase Retrieval Based on DC and DnCNN

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We develop procedures, based on minimization of the composition $f(x) = h(c(x))$ of a convex function $h$ and smooth function $c$, for solving random collections of quadratic equalities, applying our methodology to phase retrieval problems.…

Statistics Theory · Mathematics 2018-04-24 John C. Duchi , Feng Ruan

Consider the task of recovering an unknown $n$-vector from phaseless linear measurements. This task is the phase retrieval problem. Through the technique of lifting, this nonconvex problem may be convexified into a semidefinite rank-one…

Optimization and Control · Mathematics 2015-02-17 Paul Hand

The phase retrieval problem in the presence of noise aims to recover the signal vector of interest from a set of quadratic measurements with infrequent but arbitrary corruptions, and it plays an important role in many scientific…

Machine Learning · Statistics 2024-09-04 Zhong Zheng , Lingzhou Xue

Classical reconstruction methods for phase-contrast tomography consist of two stages: phase retrieval and tomographic reconstruction. A novel algebraic method combining the two was suggested by Kostenko et al. (Opt. Express, 21, 12185,…

Numerical Analysis · Computer Science 2015-09-08 Rasmus Dalgas Kongskov , Jakob Sauer Jørgensen , Henning Friis Poulsen , Per Christian Hansen

Phase retrieval with pre-defined optical masks can provide extra constraint and thus achieve improved performance. The recent progress in optimization theory demonstrates the superiority of random masks in phase retrieval algorithms.…

Image and Video Processing · Electrical Eng. & Systems 2022-07-27 Qiuliang Ye , Yuk-Hee Chan , Michael G. Somekh , Daniel P. K. Lun

We reconstruct a closed denoised curve from an unstructured and highly noisy 2D point cloud. Our proposed method uses a two- pass approach: Previously recovered manifold connectivity is used for ordering noisy samples along this manifold…

Graphics · Computer Science 2018-08-24 Stefan Ohrhallinger , Michael Wimmer

We study the low-rank phase retrieval problem, where we try to recover a $d_1\times d_2$ low-rank matrix from a series of phaseless linear measurements. This is a fourth-order inverse problem, as we are trying to recover factors of matrix…

Information Theory · Computer Science 2020-07-07 Kiryung Lee , Sohail Bahmani , Yonina Eldar , Justin Romberg

We study the sparse phase retrieval problem, which seeks to recover a sparse signal from a limited set of magnitude-only measurements. In contrast to prevalent sparse phase retrieval algorithms that primarily use first-order methods, we…

Information Theory · Computer Science 2024-03-20 Jian-Feng Cai , Yu Long , Ruixue Wen , Jiaxi Ying

Violence and abnormal behavior detection research have known an increase of interest in recent years, due mainly to a rise in crimes in large cities worldwide. In this work, we propose a deep learning architecture for violence detection…

Computer Vision and Pattern Recognition · Computer Science 2024-09-13 Abdarahmane Traoré , Moulay A. Akhloufi

Solving inverse problems requires appropriate regularization techniques to ensure well-posedness and stability. In recent years, denoiser-driven methods have emerged as effective regularization strategies, achieving state-of-the-art…

Numerical Analysis · Mathematics 2026-04-23 Harshit Bajpai , Ankik Kumar Giri , Tim Jahn , Abhinav Jha

We address the problem of signal reconstruction from intensity measurements with respect to a measurement frame. This non-convex inverse problem is known as phase retrieval. The case considered in this paper concerns phaseless measurements…

Functional Analysis · Mathematics 2019-02-13 Goetz E. Pfander , Palina Salanevich

In the undersampled phase retrieval problem, the goal is to recover an $N$-dimensional complex signal $\mathbf{x}$ from only $M<N$ noisy intensity measurements without phase information. This problem has drawn a lot of attention to reduce…

Information Theory · Computer Science 2017-10-11 Tianyu Qiu , Daniel P. Palomar

We propose a method for estimating the magnitude distribution of an acoustic field from spatially sparse magnitude measurements. Such a method is useful when phase measurements are unreliable or inaccessible. Physics-informed neural…

Sound · Computer Science 2026-01-28 Karl Schrader , Shoichi Koyama , Tomohiko Nakamura , Mirco Pezzoli

This work tackles the issue of noise removal from images, focusing on the well-known DCT image denoising algorithm. The latter, stemming from signal processing, has been well studied over the years. Though very simple, it is still used in…

Image and Video Processing · Electrical Eng. & Systems 2022-07-13 Sébastien Herbreteau , Charles Kervrann

In image denoising, deep convolutional neural networks (CNNs) can obtain favorable performance on removing spatially invariant noise. However, many of these networks cannot perform well on removing the real noise (i.e. spatially variant…

Image and Video Processing · Electrical Eng. & Systems 2023-05-09 Wencong Wu , Shijie Liu , Yi Zhou , Yungang Zhang , Yu Xiang

We derive a set of ptychography phase-retrieval iterative engines based on proximal algorithms originally developed in convex optimization theory, and discuss their connections with existing ones. The use of proximal operator creates a…

Image and Video Processing · Electrical Eng. & Systems 2020-04-22 Hanfei Yan

Integrating deep learning techniques into the video coding framework gains significant improvement compared to the standard compression techniques, especially applying super-resolution (up-sampling) to down-sampling based video coding as…

Image and Video Processing · Electrical Eng. & Systems 2021-01-19 Man M. Ho , Jinjia Zhou , Gang He

This paper presents a Depthwise Disout Convolutional Neural Network (DD-CNN) for the detection and classification of urban acoustic scenes. Specifically, we use log-mel as feature representations of acoustic signals for the inputs of our…

Sound · Computer Science 2020-07-28 Jingqiao Zhao , Zhen-Hua Feng , Qiuqiang Kong , Xiaoning Song , Xiao-Jun Wu

The R2D2 Deep Neural Network (DNN) series was recently introduced for image formation in radio interferometry. It can be understood as a learned version of CLEAN, whose minor cycles are substituted with DNNs. We revisit R2D2 on the grounds…

Instrumentation and Methods for Astrophysics · Physics 2025-10-02 Amir Aghabiglou , Chung San Chu , Chao Tang , Arwa Dabbech , Yves Wiaux

We investigate robustness of probabilistic storage and retrieval device optimized for phase gates to noise. We use noisy input composed of convex combination of unitary channel with either depolarizing or dephasing channel. We find out that…

Quantum Physics · Physics 2022-11-30 Jaroslav Pavličko , Mário Ziman
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