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This paper addresses the problem of sparse phase retrieval, a fundamental inverse problem in applied mathematics, physics, and engineering, where a signal need to be reconstructed using only the magnitude of its transformation while phase…

Machine Learning · Statistics 2025-04-15 The Tien Mai

We consider a group synchronization problem with multiple frequencies which involves observing pairwise relative measurements of group elements on multiple frequency channels, corrupted by Gaussian noise. We study the computational phase…

Statistics Theory · Mathematics 2024-06-06 Anastasia Kireeva , Afonso S. Bandeira , Dmitriy Kunisky

Mixed packing and covering problems are problems that can be formulated as linear programs using only non-negative coefficients. Examples include multicommodity network flow, the Held-Karp lower bound on TSP, fractional relaxations of set…

Data Structures and Algorithms · Computer Science 2016-01-19 Neal E. Young

We study the theoretical performance of a combined approach to demodulation and decoding of binary continuous-phase modulated signals under repetition-like codes. This technique is motivated by a need to transmit packetized or framed data…

Information Theory · Computer Science 2014-04-28 Gaurav Thakur

Linear Programming (LP) relaxations have become powerful tools for finding the most probable (MAP) configuration in graphical models. These relaxations can be solved efficiently using message-passing algorithms such as belief propagation…

Data Structures and Algorithms · Computer Science 2012-06-18 David Sontag , Talya Meltzer , Amir Globerson , Tommi S. Jaakkola , Yair Weiss

This paper proposes novel spectrum sensing algorithms for cognitive radio networks. By assuming known transmitter pulse shaping filter, synchronous and asynchronous receiver scenarios have been considered. For each of these scenarios, the…

Optimization and Control · Mathematics 2013-12-31 Tadilo Endeshaw Bogale , Luc Vandendorpe

Natural systems often exhibit chaotic behavior in their space-time evolution. Systems transiting between chaos and order manifest a potential to compute, as shown with cellular automata and artificial neural networks. We demonstrate that…

Computational Physics · Physics 2025-04-08 Tomáš Vantuch , Ivan Zelinka , Andrew Adamatzky , Norbert Marwan

The paper studies optimal coding of hidden Markov sources (HMS), which represent a broad class of practical sources obtained through noisy acquisition processes, beside their explicit modeling use in speech processing and recognition, image…

Signal Processing · Electrical Eng. & Systems 2018-02-09 Mehdi Salehifar , Tejaswi Nanjundaswamy , Kenneth Rose

Representing signals with sparse vectors has a wide range of applications that range from image and video coding to shape representation and health monitoring. In many applications with real-time requirements, or that deal with…

Quantum Physics · Physics 2022-08-09 Armando Bellante , Stefano Zanero

This paper develops a channel estimation technique for millimeter wave (mmWave) communication systems. Our method exploits the sparse structure in mmWave channels for low training overhead and accounts for the phase errors in the channel…

Signal Processing · Electrical Eng. & Systems 2023-10-12 Weijia Yi , Nitin Jonathan Myers , Geethu Joseph

This paper studies noisy index coding problems over single-input single-output broadcast channels. The codewords from a chosen index code of length $N$ are transmitted after $2^N$-PSK modulation over an AWGN channel. In "Index Coded PSK…

Information Theory · Computer Science 2023-05-23 Navya Saxena , Anjana A. Mahesh , B. Sundar Rajan

A unified view of sparse signal processing is presented in tutorial form by bringing together various fields. For each of these fields, various algorithms and techniques, which have been developed to leverage sparsity, are described…

Information Theory · Computer Science 2009-02-12 F. Marvasti , A. Amini , F. Haddadi , M. Soltanolkotabi , B. H. Khalaj , A. Aldroubi , S. Holm , S. Sanei , J. Chambers

This paper proposes a low complexity precoding algorithm based on the recently proposed Generalized Least Square Error (GLSE) scheme with generic penalty and support. The algorithm iteratively constructs the transmit vector via Approximate…

Information Theory · Computer Science 2018-01-09 Ali Bereyhi , Mohammad Ali Sedaghat , Ralf R. Müller

Phase retrieval (PR) is a popular research topic in signal processing and machine learning. However, its performance degrades significantly when the measurements are corrupted by noise or outliers. To address this limitation, we propose a…

Optimization and Control · Mathematics 2025-05-30 Jun Fan , Ailing Yan , Xianchao Xiu , Wanquan Liu

We study the problem of learning a distribution from samples, when the underlying distribution is a mixture of product distributions over discrete domains. This problem is motivated by several practical applications such as crowd-sourcing,…

Machine Learning · Statistics 2014-05-20 Prateek Jain , Sewoong Oh

Multi-user spatial modulation (SM) assisted by sparse code multiple access (SCMA) has been recently proposed to provide uplink high spectral efficiency transmission. The message passing algorithm (MPA) is employed to detect the transmitted…

Signal Processing · Electrical Eng. & Systems 2020-08-19 Ibrahim Al-Nahhal , Octavia A. Dobre , Salama Ikki

We consider a real-time communication system with noisy feedback consisting of a Markov source, a forward and a backward discrete memoryless channels, and a receiver with finite memory. The objective is to design an optimal communication…

Information Theory · Computer Science 2007-09-25 Aditya Mahajan , Demosthenis Teneketzis

Detecting Earth twins remains challenging because their shallow, long-period transits are difficult to distinguish from background noise. Motivated by the challenge, we developed Segmented-Polynomial-fitting Least Squares (SPLS), a new…

Earth and Planetary Astrophysics · Physics 2025-12-03 Shuyue Zheng , Fabo Feng , Yicheng Rui

Nano-scale molecular communication is a viable way of exchanging information between nano-machines. In this letter, a low-complexity and non-coherent signal detection technique is proposed to mitigate the inter-symbol-interference (ISI) and…

Emerging Technologies · Computer Science 2015-08-31 Bin Li , Mengwei Sun , Siyi Wang , Weisi Guo , Chenglin Zhao

We consider the estimation of a signal from the knowledge of its noisy linear random Gaussian projections. A few examples where this problem is relevant are compressed sensing, sparse superposition codes, and code division multiple access.…

Information Theory · Computer Science 2020-08-31 Jean Barbier , Nicolas Macris , Mohamad Dia , Florent Krzakala
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