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We study imaging with an array of sensors that probes a medium with single frequency electromagnetic waves and records the scattered electric field. The medium is known and homogenous except for some small and penetrable inclusions. The…

Analysis of PDEs · Mathematics 2016-09-21 Liliana Borcea , Josselin Garnier

For information transmission a discrete time channel with independent additive Gaussian noise is used. There is also another channel with independent additive Gaussian noise (the feedback channel), and the transmitter observes without delay…

Information Theory · Computer Science 2015-01-21 Marat V. Burnashev , Hirosuke Yamamoto

Learned image reconstruction techniques using deep neural networks have recently gained popularity, and have delivered promising empirical results. However, most approaches focus on one single recovery for each observation, and thus neglect…

Computer Vision and Pattern Recognition · Computer Science 2021-10-26 Chen Zhang , Riccardo Barbano , Bangti Jin

Compressive sensing is the newly emerging method in information technology that could impact array beamforming and the associated engineering applications. However, practical measurements are inevitably polluted by noise from external…

Information Theory · Computer Science 2013-07-12 Siyang Zhong , Xun Huang

We consider the problem of subspace estimation in situations where the number of available snapshots and the observation dimension are comparable in magnitude. In this context, traditional subspace methods tend to fail because the…

Information Theory · Computer Science 2016-11-15 Pascal Vallet , Philippe Loubaton , Xavier Mestre

Broadband beamforming is a technique to obtain the signal with a wide range of frequencies. It maintains the signal integrity and spatial selectivity over frequencies. This is important in several applications such as microphone array,…

Signal Processing · Electrical Eng. & Systems 2020-03-03 Phan Le Son

A new technique is introduced to reconstruct a nonlinear stochastic model of the cardiorespiratory interaction. Its inferential framework uses a set of polynomial basis functions representing the nonlinear force governing the system…

Data Analysis, Statistics and Probability · Physics 2009-11-11 V. N. Smelyanskiy , D. G. Luchinsky , A. Stefanovska , P. V. E. McClintock

We present a deep neural network approach for encoding microphone array signals into Ambisonics that generalizes to arbitrary microphone array configurations with fixed microphone count but varying locations and frequency-dependent…

Audio and Speech Processing · Electrical Eng. & Systems 2026-02-02 Mikko Heikkinen , Archontis Politis , Konstantinos Drossos , Tuomas Virtanen

The analysis of diffusion processes in real-world propagation scenarios often involves estimating variables that are not directly observed. These hidden variables include parental relationships, the strengths of connections between nodes,…

Social and Information Networks · Computer Science 2016-05-12 Shohreh Shaghaghian , Mark Coates

Spectrum analysis systems in online water quality testing are designed to detect types and concentrations of pollutants and enable regulatory agencies to respond promptly to pollution incidents. However, spectral data-based testing devices…

Machine Learning · Computer Science 2023-08-15 Haiwen Du , Zheng Ju , Yu An , Honghui Du , Dongjie Zhu , Zhaoshuo Tian , Aonghus Lawlor , Ruihai Dong

In this paper, we study the problem of direction of arrival estimation and model order selection for systems employing subarray sampling. Thereby, we focus on scenarios, where the number of active sources is not smaller than the number of…

Signal Processing · Electrical Eng. & Systems 2021-06-15 Andreas Barthelme , Wolfgang Utschick

This paper considers a sequential estimation and sensor scheduling problem with one sensor and one estimator. The sensor makes sequential observations about the state of an underlying memoryless stochastic process, and makes a decision as…

Systems and Control · Computer Science 2016-11-17 Xiaobin Gao , Emrah Akyol , Tamer Basar

In this paper, we expand the theory of depth-unbiased source localization to unbiased parameter estimation and signal reconstruction of an arbitrary number of non-zero parameters to be recovered. The topic touches on the concept of exact…

Information Theory · Computer Science 2026-05-08 Joonas Lahtinen

A complete first and second order statistical characterization of noise in SENSE reconstructed data is proposed. SENSE acquisitions have usually been modeled as Rician distributed, since the data reconstruction takes place into the spatial…

Computer Vision and Pattern Recognition · Computer Science 2014-02-18 Santiago Aja-Fernandez , Gonzalo Vegas-Sanchez-Ferrero , Antonio Trsitan-Vega

We theoretically describe how weak signals may be efficiently transmitted throughout more than one frequency range in noisy excitable media by kind of stochastic multiresonance. This serves us here to reinterpret recent experiments in…

Data Analysis, Statistics and Probability · Physics 2015-05-27 J. J. Torres , J. Marro , J. F. Mejias

Linear regression on network-linked observations has been an essential tool in modeling the relationship between response and covariates with additional network structures. Previous methods either lack inference tools or rely on restrictive…

Methodology · Statistics 2022-08-22 Can M. Le , Tianxi Li

Generally, anomaly detection has a great importance particularly in applied statistical signal processing. Here we provide a general framework in order to detect anomaly through the statistical modeling. In this paper, it is assumed that a…

Signal Processing · Electrical Eng. & Systems 2019-06-28 Salman Mohamadi , Farhang Yeganegi , Nasser M Nasrabadi

High-dimensional vector autoregression with measurement error is frequently encountered in a large variety of scientific and business applications. In this article, we study statistical inference of the transition matrix under this model.…

Methodology · Statistics 2020-09-18 Xiang Lyu , Jian Kang , Lexin Li

We propose and implement an approach to inference in linear instrumental variables models which is simultaneously robust and computationally tractable. Inference is based on self-normalization of sample moment conditions, and allows for…

Econometrics · Economics 2022-11-29 Eric Gautier , Christiern Rose

In this work, we introduce a novel framework which combines physics and machine learning methods to analyse acoustic signals. Three methods are developed for this task: a Bayesian inference approach for inferring the spectral acoustics…

Sound · Computer Science 2023-05-30 Yongchao Huang , Yuhang He , Hong Ge