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We propose a rectangular rotational invariant estimator to recover a real matrix from noisy matrix observations coming from an arbitrary additive rotational invariant perturbation, in the large dimension limit. Using the Bayes-optimality of…

Information Theory · Computer Science 2023-04-25 Farzad Pourkamali , Nicolas Macris

We present a method for estimating conditionally Gaussian random vectors with random covariance matrices, which uses techniques from the field of machine learning. Such models are typical in communication systems, where the covariance…

Information Theory · Computer Science 2018-02-07 David Neumann , Thomas Wiese , Wolfgang Utschick

Direction of arrival estimation (DoAE) aims at tracking a sound in azimuth and elevation. Recent advancements include data-driven models with inputs derived from ambisonics intensity vectors or correlations between channels in a microphone…

Sound · Computer Science 2024-01-18 Adrian S. Roman , Iran R. Roman , Juan P. Bello

Gaussian process regression is a powerful Bayesian nonlinear regression method. Recent research has enabled the capture of many types of observations using non-Gaussian likelihoods. To deal with various tasks in spatial modeling, we benefit…

Machine Learning · Statistics 2025-08-26 Yuta Shikuri

Existing identification and estimation methods for semiparametric sample selection models rely heavily on exclusion restrictions. However, it is difficult in practice to find a credible excluded variable that has a correlation with…

Econometrics · Economics 2024-12-03 Zhewen Pan , Yifan Zhang

This work addresses the problem of direction-of-arrival (DOA) estimation in the presence of non-Gaussian, heavy-tailed, and spatially-colored interference. Conventionally, the interference is considered to be Gaussian-distributed and…

Signal Processing · Electrical Eng. & Systems 2023-07-06 Stefan Feintuch , Joseph Tabrikian , Igal Bilik , Haim H. Permuter

As with the advancement of geographical information systems, non-Gaussian spatial data sets are getting larger and more diverse. This study develops a general framework for fast and flexible non-Gaussian regression, especially for…

Methodology · Statistics 2021-06-23 Daisuke Murakami , Mami Kajita , Seiji Kajita , Tomoko Matsui

In this paper, to jointly estimate the frequency and the direction-of-arrival(DOA) of the narrowband far-field signals, a novel array receiver architecture is presented by the concept of the sub-Nyquist sampling techniques. In particular,…

Information Theory · Computer Science 2017-02-07 Liang Liu , Ping Wei

In this paper, the problem of determining the number of signal sources impinging on an array of sensors and estimating their directions-of-arrival (DOAs) in the presence of spatially white nonuniform noise is considered. It is known that,…

Signal Processing · Electrical Eng. & Systems 2021-09-10 Mahmood Karimi

We develop a multidimensional version of Gradient-MUSIC for estimating the frequencies of a nonharmonic signal from noisy samples. The guiding principle is that frequency recovery should be based only on the signal subspace determined by…

Optimization and Control · Mathematics 2026-03-31 Albert Fannjiang , Weilin Li

We investigate the power of geometrical estimators on detecting non-Gaussianity in the cosmic microwave background. In particular the number, eccentricity and Gaussian curvature of excursion sets above (and below) a threshold are studied.…

Astrophysics · Physics 2011-05-10 R. B. Barreiro , E. Martinez-Gonzalez , J. L. Sanz

The article studies non-Gaussian extensions of a recently discovered link between certain Gaussian random fields, expressed as solutions to stochastic partial differential equations (SPDEs), and Gaussian Markov random fields. The focus is…

Methodology · Statistics 2012-06-15 David Bolin

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

In independent component analysis it is assumed that the observed random variables are linear combinations of latent, mutually independent random variables called the independent components. Our model further assumes that only the…

Statistics Theory · Mathematics 2016-12-19 Joni Virta , Klaus Nordhausen , Hannu Oja

We consider a class of semi-parametric dynamic models with strong white noise errors. This class of processes includes the standard Vector Autoregressive (VAR) model, the nonfundamental structural VAR, the mixed causal-noncausal models, as…

Econometrics · Economics 2021-07-16 Christian Gourieroux , Joann Jasiak

The noise of a device under test (DUT) is measured simultaneously with two instruments, each of which contributes its own background. The average cross power spectral density converges to the DUT power spectral density. This method enables…

Instrumentation and Detectors · Physics 2010-03-02 Enrico Rubiola , Francois Vernotte

We describe a novel approach to the detection and parameter estimation of a non\textendash Gaussian stochastic background of gravitational waves. The method is based on the determination of relevant statistical parameters using importance…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Riccardo Buscicchio , Anirban Ain , Matteo Ballelli , Giancarlo Cella , Barbara Patricelli

A new, very general, robust procedure for combining estimators in metric spaces is introduced GROS. The method is reminiscent of the well-known median of means, as described in \cite{devroye2016sub}. Initially, the sample is divided into…

Statistics Theory · Mathematics 2024-02-26 Alejandro Cholaquidis , Emilien Joly , Leonardo Moreno

Covariance matrices play a major role in statistics, signal processing and machine learning applications. This paper focuses on the \textit{semiparametric} covariance/scatter matrix estimation problem in elliptical distributions. The class…

Signal Processing · Electrical Eng. & Systems 2020-10-28 Stefano Fortunati , Alexandre Renaux , Frédéric Pascal

Horizontal line arrays are often employed in underwater environments to estimate the direction of arrival (DOA) of a weak signal. Conventional beamforming (CB) is robust but has wide beamwidths and high-level sidelobes. High-resolution…

Signal Processing · Electrical Eng. & Systems 2020-12-09 Qi Zhang , Jiang Zhu , Yuantao Gu , Zhiwei Xu
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