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We study the problem of signal estimation from non-linear observations when the signal belongs to a low-dimensional set buried in a high-dimensional space. A rough heuristic often used in practice postulates that non-linear observations may…

信息论 · 计算机科学 2015-11-17 Yaniv Plan , Roman Vershynin

This paper aims to propose and theoretically analyze a new distributed scheme for sparse linear regression and feature selection. The primary goal is to learn the few causal features of a high-dimensional dataset based on noisy observations…

机器学习 · 统计学 2021-11-05 Hanie Barghi , Amir Najafi , Seyed Abolfazl Motahari

Large-scale Gaussian process models are becoming increasingly important and widely used in many areas, such as, computer experiments, stochastic optimization via simulation, and machine learning using Gaussian processes. The standard…

统计方法学 · 统计学 2018-08-02 Yongxiang Li , Qiang Zhou , Kwok Leung Tsui , Javier Cabrera

We consider a distributed learning setup where a network of agents sequentially access realizations of a set of random variables with unknown distributions. The network objective is to find a parametrized distribution that best describes…

最优化与控制 · 数学 2016-05-10 Angelia Nedić , Alex Olshevsky , César Uribe

Causal mediation analysis, pleiotropy analysis, and replication analysis are three highly popular genetic study designs. Although these analyses address different scientific questions, the underlying inference problems all involve…

统计方法学 · 统计学 2023-09-25 Ryan Sun , Zachary McCaw , Xihong Lin

We consider the problem of sequentially testing a simple null hypothesis versus a composite alternative hypothesis that consists of a finite set of densities. We study sequential tests that are based on thresholding of mixture-based…

统计理论 · 数学 2013-01-23 Georgios Fellouris , Alexander G. Tartakovsky

Existing coherent network analysis techniques for detecting gravitational-wave bursts simultaneously test data from multiple observatories for consistency with the expected properties of the signals. These techniques assume the output of…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Shourov Chatterji , Albert Lazzarini , Leo Stein , Patrick Sutton , Antony Searle , Massimo Tinto

This paper studies the estimation of network weights for a class of systems with binary-valued observations. In these systems only quantized observations are available for the network estimation. Furthermore, system states are coupled with…

系统与控制 · 计算机科学 2019-03-19 Yu Xing , Xingkang He , Haitao Fang , Karl Henrik Johansson

We describe a general approach to detection of transient gravitational-wave signals in the presence of non-Gaussian background noise. We prove that under quite general conditions, the ratio of the likelihood of observed data to contain a…

We consider nonparametric or universal sequential hypothesis testing problem when the distribution under the null hypothesis is fully known but the alternate hypothesis corresponds to some other unknown distribution. These algorithms are…

信息论 · 计算机科学 2013-08-30 Jithin K. Sreedharan , Vinod Sharma

Consider the problem where a statistician in a two-node system receives rate-limited information from a transmitter about marginal observations of a memoryless process generated from two possible distributions. Using its own observations,…

信息论 · 计算机科学 2017-03-02 Gil Katz , Pablo Piantanida , Mérouane Debbah

This paper addresses the problem of distributed detection in fixed and switching networks. A network of agents observe partially informative signals about the unknown state of the world. Hence, they collaborate with each other to identify…

系统与控制 · 计算机科学 2016-01-01 Shahin Shahrampour , Alexander Rakhlin , Ali Jadbabaie

In this article, we consider the problem of distributed detection of a localized radio source emitting a signal. We consider that geographically distributed sensor nodes obtain energy measurements and compute cooperatively a statistic to…

信号处理 · 电气工程与系统科学 2023-12-20 Juan Augusto Maya , Leonardo Rey Vega , Andrea M. Tonello

This paper describes recursive algorithms for state estimation of linear dynamical systems when measurements are noisy with unknown bias and/or outliers. For situations with noisy and biased measurements, algorithms are proposed that…

系统与控制 · 电气工程与系统科学 2025-03-11 Krishan Mohan Nagpal

We describe the extension to multiple datasets of a coherent method for the search of continuous gravitational wave signals, based on the computation of 5-vectors. In particular, we show how to coherently combine different datasets…

天体物理仪器与方法 · 物理学 2015-06-04 Pia Astone , Alberto Colla , Sabrina D'Antonio , Sergio Frasca , Cristiano Palomba

This paper takes a different approach for the distributed linear parameter estimation over a multi-agent network. The parameter vector is considered to be stochastic with a Gaussian distribution. The sensor measurements at each agent are…

系统与控制 · 电气工程与系统科学 2022-04-19 Subhro Das

This paper considers a distributed detection setup where agents in a network want to detect a time-varying signal embedded in temporally correlated noise. The signal of interest is the impulse response of an ARMA (auto-regressive moving…

信号处理 · 电气工程与系统科学 2023-04-17 João Domingos , João Xavier

This paper investigates a recursive formulation of auto-regressive multi-fidelity Gaussian process regression in the challenging setting of noisy and non-nested high- and low-fidelity data. We propose a decoupled optimization strategy based…

应用统计 · 统计学 2026-05-21 Nils Baillie , Baptiste Kerleguer , Cyril Feau , Josselin Garnier

In this paper, we aim to take one step forward to the scenario where an adaptive subspace detection framework is required to detect subspace signals in non-stationary environments. Despite the fact that this scenario is more realistic, the…

信号处理 · 电气工程与系统科学 2024-01-24 Aref Miri Rekavandi

This work addresses the distributed estimation problem in a set membership framework. The agents of a network collect measurements which are affected by bounded errors, thus implying that the unknown parameters to be estimated belong to a…

最优化与控制 · 数学 2018-12-11 Francesco Farina , Andrea Garulli , Antonio Giannitrapani