English
Related papers

Related papers: RSB Decoupling Property of MAP Estimators

200 papers

There have been two separate lines of work on estimating Ising models: (1) estimating them from multiple independent samples under minimal assumptions about the model's interaction matrix; and (2) estimating them from one sample in…

Statistics Theory · Mathematics 2020-12-11 Yuval Dagan , Constantinos Daskalakis , Nishanth Dikkala , Anthimos Vardis Kandiros

Low-rank approximation is a task of critical importance in modern science, engineering, and statistics. Many low-rank approximation algorithms, such as the randomized singular value decomposition (RSVD), project their input matrix into a…

Numerical Analysis · Mathematics 2023-10-17 Robin Armstrong , Alex Buzali , Anil Damle

The problem of super-resolution compressive sensing (SR-CS) is crucial for various wireless sensing and communication applications. Existing methods often suffer from limited resolution capabilities and sensitivity to hyper-parameters,…

Signal Processing · Electrical Eng. & Systems 2025-08-12 Yufan Zhou , Jingyi Li , Wenkang Xu , An Liu

We make use of recent results from random matrix theory to identify a derived threshold, for isolating noise from image features. The procedure assumes the existence of a set of noisy images, where denoising can be carried out on individual…

Data Analysis, Statistics and Probability · Physics 2010-04-09 Gaurab Basu , Kaushik Ray , Prasanta K. Panigrahi

This paper studies a new decentralized resource allocation strategy, named iterative spectrum shaping (ISS), for the multi-carrier-based multiuser communication system, where two coexisting users independently and sequentially update…

Information Theory · Computer Science 2009-01-16 Rui Zhang , John Cioffi

A Gaussian noise (GN) model is presented that properly accounts for an arbitrary frequency dependent signal power profile along the link. This enables the evaluation of the impact of inter-channel stimulated Raman scattering (ISRS) on the…

Signal Processing · Electrical Eng. & Systems 2018-07-04 Daniel Semrau , Polina Bayvel

The scalar additive Gaussian noise channel has the "single crossing point" property between the minimum-mean square error (MMSE) in the estimation of the input given the channel output, assuming a Gaussian input to the channel, and the MMSE…

Information Theory · Computer Science 2016-11-17 Ronit Bustin , Miquel Payaro , Daniel Palomar , Shlomo Shamai

In this paper, we consider the problem of distributed parameter estimation in sensor networks. Each sensor makes successive observations of an unknown $d$-dimensional parameter, which might be subject to Gaussian random noises. The sensors…

Signal Processing · Electrical Eng. & Systems 2025-01-20 Jiaqi Yan , Hideaki Ishii

A general non-Gaussian semiparametric model is adopted to characterize the measurement vectors, i.e.\ the \textit{snapshots}, collected by a linear array. Moreover, the recently derived \textit{robust semiparametric efficient} $R$-estimator…

Signal Processing · Electrical Eng. & Systems 2020-04-29 Stefano Fortunati , Alexandre Renaux , Frédéric Pascal

Algorithms for mutual interference mitigation and object parameter estimation are a key enabler for automotive applications of frequency-modulated continuous wave (FMCW) radar. In this paper, we introduce a signal separation method to…

Signal Processing · Electrical Eng. & Systems 2024-10-03 Mate Toth , Erik Leitinger , Klaus Witrisal

We study one-shot detection under isotropic multivariate Cauchy noise using finite constellations, with emphasis on the geometric mechanisms governing symbol-level reliability. Under isotropic Cauchy noise, the maximum-likelihood rule…

Information Theory · Computer Science 2026-04-28 Yen-Chi Lee

Integrated sensing and communications (ISAC) is recognized as a key enabling technology for future wireless networks. To shed light on the fundamental performance limits of ISAC systems, this paper studies the deterministic-random tradeoff…

Information Theory · Computer Science 2023-01-05 Fan Liu , Yifeng Xiong , Kai Wan , Tony Xiao Han , Giuseppe Caire

Recently a blind source separation model was suggested for spatial data together with an estimator based on the simultaneous diagonalisation of two scatter matrices. The asymptotic properties of this estimator are derived here and a new…

Statistics Theory · Mathematics 2020-09-01 François Bachoc , Marc G. Genton , Klaus Nordhausen , Anne Ruiz-Gazen , Joni Virta

This paper studies the interference broadcast channel comprising multiple multi-antenna Base Stations (BSs), each controlling a beyond diagonal Reconfigurable Intelligent Surface (RIS) and serving multiple single-antenna users. Wideband…

Information Theory · Computer Science 2024-09-09 Konstantinos D. Katsanos , Paolo Di Lorenzo , George C. Alexandropoulos

Noise characterization methods such as randomized benchmarking (RB) are critical for the development of scalable quantum computers. Modern RB protocols for multiqubit systems extract physically relevant error rates by exploiting the…

Quantum Physics · Physics 2026-04-15 Yale Fan , Riley Murray , Thaddeus D. Ladd , Kevin Young , Robin Blume-Kohout

This paper considers maximum-a-posteriori (MAP) and linear discriminant based MAP detectors to detect changes in the mean and covariance of a stochastic input, driving specific network nodes, using noisy measurements from sensors…

Optimization and Control · Mathematics 2020-11-10 Rajasekhar Anguluri , Vaibhav Katewa , Sandip Roy , Fabio Pasqualetti

In this manuscript we consider denoising of large rectangular matrices: given a noisy observation of a signal matrix, what is the best way of recovering the signal matrix itself? For Gaussian noise and rotationally-invariant signal priors,…

Disordered Systems and Neural Networks · Physics 2022-10-03 Emanuele Troiani , Vittorio Erba , Florent Krzakala , Antoine Maillard , Lenka Zdeborová

This paper investigates the cell-free multi-user integrated sensing and communication (ISAC) system, where multiple base stations collaboratively track the users and detect their signals. Moreover, reconfigurable intelligent surfaces (RISs)…

Signal Processing · Electrical Eng. & Systems 2026-02-23 Weifeng Zhu , Junyuan Gao , Shuowen Zhang , Meixia Tao , Liang Liu

Compressed sensing (CS) is a sampling paradigm that allows to simultaneously measure and compress signals that are sparse or compressible in some domain. The choice of a sensing matrix that carries out the measurement has a defining impact…

Information Theory · Computer Science 2017-08-02 Anastasia Lavrenko , Florian Roemer , Giovanni Del Galdo , Reiner Thomae

A distributed detection scheme where the sensors transmit with constant modulus signals over a Gaussian multiple access channel is considered. The deflection coefficient of the proposed scheme is shown to depend on the characteristic…

Information Theory · Computer Science 2017-04-05 Cihan Tepedelenlioglu , Sivaraman Dasarathan