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相关论文: Phase Retrieval with Background Information: Decre…

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Feasibility problem aims to find a common point of two or more closed (convex) sets whose intersection is nonempty. In the literature, projection based algorithms are widely adopted to solve the problem, such as the method of alternating…

最优化与控制 · 数学 2025-04-16 Yuting Shen , Jingwei Liang

Coherent transition radiation (CTR) spectroscopy is a critical diagnostic for characterizing the longitudinal structure of relativistic electron bunches in laser-plasma and conventional accelerators. In practice, recovering the bunch…

We propose a general framework to recover underlying images from noisy phaseless diffraction measurements based on the alternating directional method of multipliers and the plug-and-play technique. The algorithm consists of three-step…

最优化与控制 · 数学 2016-11-07 Huibin Chang , Stefano Marchesini

The \textit{de facto} paradigm for applying dense retrieval (DR) to new tasks involves fine-tuning a pre-trained model for a specific task. However, this paradigm has two significant limitations: (1) It is difficult adapt the DR to a new…

信息检索 · 计算机科学 2026-02-27 Zhan Su , Fengran Mo , Jinghan Zhang , Yuchen Hui , Jia Ao Sun , Bingbing Wen , Jian-Yun Nie

Fraunhofer diffraction is a well-known phenomenon achieved with most wavelength even without lens. A single-shot intensity measurement of diffraction is generally considered inadequate to reconstruct the original light field, because the…

图像与视频处理 · 电气工程与系统科学 2019-12-04 An-Dong Xiong , Xiao-Peng Jin , Wen-Kai Yu , Qing Zhao

Coherent diffraction imaging (CDI) for visualizing objects at atomic resolution has been realized as a promising tool for imaging single molecules. Drawbacks of CDI are associated with the difficulty of the numerical phase retrieval from…

Fourier phase retrieval is a classical problem that deals with the recovery of an image from the amplitude measurements of its Fourier coefficients. Conventional methods solve this problem via iterative (alternating) minimization by…

图像与视频处理 · 电气工程与系统科学 2020-07-30 Rakib Hyder , Zikui Cai , M. Salman Asif

Reconstruction of a stable and reliable solution from noisy incomplete Fourier intensity data recorded in a coherent X-ray imaging (CXI) experiment is a challenging problem. The Relaxed Averaged Alternating Reflections (RAAR) algorithm that…

图像与视频处理 · 电气工程与系统科学 2024-04-18 Mansi Butola , Sunaina Rajora , Kedar Khare

Accurately recovering images from phaseless measurements is a challenging and long-standing problem. In this work, we present "deepECpr," which combines expectation-consistent (EC) approximation with deep denoising networks to surpass…

计算机视觉与模式识别 · 计算机科学 2024-11-27 Saurav K. Shastri , Philip Schniter

In this paper we study a realistic setup for phase retrieval, where the signal of interest is modulated or masked and then for each modulation or mask a diffraction pattern is collected, producing a coded diffraction pattern (CDP) [CLM13].…

信息论 · 计算机科学 2014-03-25 Youssef Mroueh

In this paper, we consider the problem of phase retrieval, which consists of recovering an $n$-dimensional real vector from the magnitude of its $m$ linear measurements. We propose a mirror descent (or Bregman gradient descent) algorithm…

最优化与控制 · 数学 2024-06-21 Jean-Jacques Godeme , Jalal Fadili , Xavier Buet , Myriam Zerrad , Michel Lequime , Claude Amra

We propose a novel approach and algorithm based on two preliminary tests of the optical system elements to enhance the super-resolved complex-valued imaging. The approach is developed for inverse phase imaging in a single-shot lensless…

The problem of phase retrieval (PR) involves recovering an unknown image from limited amplitude measurement data and is a challenge nonlinear inverse problem in computational imaging and image processing. However, many of the PR methods are…

计算机视觉与模式识别 · 计算机科学 2023-09-11 Aoxu Liu , Xiaohong Fan , Yin Yang , Jianping Zhang

Phase retrieval (PR) reconstructs phase information from magnitude measurements, known as coded diffraction patterns (CDPs), whose quality depends on the number of snapshots captured using coded phase masks. High-quality phase estimation…

图像与视频处理 · 电气工程与系统科学 2025-08-25 Karen Fonseca , Leon Suarez-Rodriguez , Andres Jerez , Felipe Gutierrez-Barragan , Henry Arguello

In this paper, we propose a new algorithm combining the Douglas-Rachford (DR) algorithm and the Frank-Wolfe algorithm, also known as the conditional gradient (CondG) method, for solving the classic convex feasibility problem. Within the…

最优化与控制 · 数学 2021-06-09 R. Díaz Millán , O. P. Ferreira , J. Ugon

X-ray phase contrast tomography (XPCT) is widely used for 3D imaging of objects with weak contrast in X-ray absorption index but strong contrast in refractive index decrement. To reconstruct an object imaged using XPCT, phase retrieval…

图像与视频处理 · 电气工程与系统科学 2020-09-23 K. Aditya Mohan , Dilworth Y. Parkinson , Jefferson A. Cuadra

The False Discovery Rate (FDR) method has recently been described by Miller et al (2001), along with several examples of astrophysical applications. FDR is a new statistical procedure due to Benjamini and Hochberg (1995) for controlling the…

天体物理学 · 物理学 2009-11-07 A. M. Hopkins , C. J. Miller , A. J. Connolly , C. Genovese , R. C. Nichol , L. Wasserman

We propose bigradient phase referencing (BPR), a new radio-observation technique, and report its performance using the Japanese very-long-baseline-interferometry network (JVN). In this method, a weak source is detected by phase-referencing…

Differentially Private Stochastic Gradients Descent (DP-SGD) is a prominent paradigm for preserving privacy in deep learning. It ensures privacy by perturbing gradients with random noise calibrated to their entire norm at each training…

密码学与安全 · 计算机科学 2024-06-06 Yixuan Liu , Li Xiong , Yuhan Liu , Yujie Gu , Ruixuan Liu , Hong Chen

Several strategies in phase retrieval are unified by an iterative "difference map" constructed from a pair of elementary projections and a single real parameter $\beta$. For the standard application in optics, where the two projections…

数值分析 · 数学 2025-10-20 Veit Elser