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Recovering an unknown signal from quadratic measurements has gained popularity due to its wide range of applications, including phase retrieval, fusion frame phase retrieval, and positive operator-valued measures. In this paper, we employ a…

Optimization and Control · Mathematics 2024-09-02 Jun Fan , Jie Sun , Ailing Yan , Shenglong Zhou

In this investigation, we propose several algorithms to recover the location and intensity of a radiation source located in a simulated 250 m x 180 m block in an urban center based on synthetic measurements. Radioactive decay and detection…

Applications · Statistics 2016-07-05 Razvan Stefanescu , Kathleen Schmidt , Jason Hite , Ralph Smith , John Mattingly

In this paper, an efficient fragile blind quad watermarking scheme for image tamper detection and recovery based on lifting wavelet transform and genetic algorithm is proposed. TRLG generates four compact digests with super quality based on…

Cryptography and Security · Computer Science 2018-03-09 Behrouz Bolourian Haghighi , Amir Hossein Taherinia , Amir Hossein Mohajerzadeh

To solve the problem of detecting subspace signals in nonzero-mean clutter, we propose adaptive detectors, based on the strategies of generalized likelihood ratio test (GLRT), Rao test, Wald test, gradient test, and Durbin test. The results…

Other Statistics · Statistics 2026-05-11 Weijian Liu , Zhenyu Xu , Jun Liu , Hui Chen , Yongxiang Liu

Generative neural networks (GNNs) have gained renown for efficaciously capturing intrinsic low-dimensional structure in natural images. Here, we investigate the subgaussian demixing problem for two Lipschitz signals, with GNN demixing as a…

Information Theory · Computer Science 2020-10-15 Aaron Berk

The ground-to-satellite image matching/retrieval was initially proposed for city-scale ground camera localization. This work addresses the problem of improving camera pose accuracy by ground-to-satellite image matching after a coarse…

Computer Vision and Pattern Recognition · Computer Science 2024-09-11 Yujiao Shi , Hongdong Li , Akhil Perincherry , Ankit Vora

Time-delay interferometry is put forward to improve the signal-to-noise ratio of space-borne gravitational wave detectors by canceling the large laser phase noise with different combinations of measured data. Based on the Michelson data…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Xiao-Yu Lu , Yu-Jie Tan , Cheng-Gang Shao

This paper presents a new approach to the recovery of a spectrally sparse signal (SSS) from partially observed entries, focusing on challenges posed by large-scale data and heavy noise environments. The SSS reconstruction can be formulated…

Signal Processing · Electrical Eng. & Systems 2024-05-14 Xi Yao , Wei Dai

Graph signal recovery (GSR) is a fundamental problem in graph signal processing, where the goal is to reconstruct a complete signal defined over a graph from a subset of noisy or missing observations. A central challenge in GSR is that the…

Signal Processing · Electrical Eng. & Systems 2025-09-24 Razieh Torkamani , Arash Amini , Hadi Zayyani , Mehdi Korki

We present a novel approach for recovering a sparse signal from cross-correlated data. Cross-correlations naturally arise in many fields of imaging, such as optics, holography and seismic interferometry. Compared to the sparse signal…

Signal Processing · Electrical Eng. & Systems 2021-04-28 Miguel Moscoso , Alexei Novikov , George Papanicolaou , Chrysoula Tsogka

This paper discusses the noisy phase retrieval problem: recovering a complex image signal with independent noise from quadratic measurements. Inspired by the dark fringes shown in the measured images of the array detector, a novel phase…

Computer Vision and Pattern Recognition · Computer Science 2022-04-14 Wen-Kai Yu , An-Dong Xiong , Xu-Ri Yao , Guang-Jie Zhai , Qing Zhao

This work presents a new approach for detection and exclusion (or de-weighting) of pseudo-range measurements from the Global Navigation Satellite System (GNSS) in order to improve the accuracy of single-epoch positioning, which is an…

Signal Processing · Electrical Eng. & Systems 2023-06-12 Ibrahim Sbeity , Christophe Villien , Christophe Combettes , Benoît Denis , E Veronica Belmega , Marwa Chafii

Global Navigation Satellite Systems (GNSS)-based positioning plays a crucial role in various applications, including navigation, transportation, logistics, mapping, and emergency services. Traditional GNSS positioning methods are…

Signal Processing · Electrical Eng. & Systems 2024-06-26 Adyasha Mohanty , Grace Gao

In this manuscript, we analyze the sparse signal recovery (compressive sensing) problem from the perspective of convex optimization by stochastic proximal gradient descent. This view allows us to significantly simplify the recovery analysis…

Data Structures and Algorithms · Computer Science 2013-04-19 Rong Jin , Tianbao Yang , Shenghuo Zhu

We present a method for coherently combining short data segments from gravitational-wave detectors to improve the sensitivity of semi-coherent searches for continuous gravitational waves. All-sky searches for continuous gravitational waves…

General Relativity and Quantum Cosmology · Physics 2016-04-13 Evan Goetz , Keith Riles

Grasp pose detection in cluttered, real-world environments remains a significant challenge due to noisy and incomplete sensory data combined with complex object geometries. This paper introduces Grasp the Graph 2.0 (GtG 2.0) method, a…

In this letter, we consider the detection of sparse stochastic signals with sensor networks (SNs), where the fusion center (FC) collects 1-bit data from the local sensors and then performs global detection. For this problem, a newly…

Signal Processing · Electrical Eng. & Systems 2019-11-06 Chengxi Li , You He , Xueqian Wang , Gang Li , Pramod K. Varshney

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

In order to analyze data produced by the kilometer-scale gravitational wave detectors that will begin operation early next century, one needs to develop robust statistical tools capable of extracting weak signals from the detector noise.…

General Relativity and Quantum Cosmology · Physics 2010-01-06 Jolien D. E. Creighton

In this paper, we study the sample complexity and develop efficient optimal algorithms for 1-bit phase retrieval: recovering a signal $\mathbf{x}\in\mathbb{R}^n$ from $m$ phaseless bits…

Information Theory · Computer Science 2025-12-18 Junren Chen , Ming Yuan
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