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This paper studies the linear system identification problem in the general case where the disturbance is sub-Gaussian, correlated, and possibly adversarial. First, we consider the case with noncentral (nonzero-mean) disturbances for which…

最优化与控制 · 数学 2025-09-22 Jihun Kim , Javad Lavaei

We introduce a Channel Distribution Information (CDI)-aware Generative Adversarial Network (GAN), designed to address the unique challenges of adversarial attacks in wireless communication systems. The generator in this CDI-aware GAN maps…

信息论 · 计算机科学 2023-12-01 Sujata Sinha , Alkan Soysal

Gaussian graphical models (GGMs) are probabilistic tools of choice for analyzing conditional dependencies between variables in complex systems. Finding changepoints in the structural evolution of a GGM is therefore essential to detecting…

机器学习 · 统计学 2016-05-03 Abhinav Maurya , Mark Cheung

Accurately estimating the statistical properties of noise is important in data analysis for space-based gravitational wave detectors. Noise in different time-delay interferometry channels correlates with each other. Many studies often…

天体物理仪器与方法 · 物理学 2025-06-18 Ya-Nan Li , Yi-Ming Hu , En-Kun Li

Quantum target detection aims to utilise quantum technologies to achieve performances in target detection not possible through purely classical means. Quantum illumination is an example of this, based on signal-idler entanglement, promising…

量子物理 · 物理学 2022-09-09 Athena Karsa , Masoud Ghalaii , Stefano Pirandola

We consider the problem of linear fitting of noisy data in the case of broad (say $\alpha$-stable) distributions of random impacts ("noise"), which can lack even the first moment. This situation, common in statistical physics of small…

数据分析、统计与概率 · 物理学 2015-05-27 Eugene B. Postnikov , Igor M. Sokolov

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. They aim to…

系统与控制 · 电气工程与系统科学 2023-03-22 Jiaqi Yan , Hideaki Ishii

We introduce a signal processing model for signals in non-white noise, where the exact noise spectrum is a priori unknown. The model is based on a Student's t distribution and constitutes a natural generalization of the widely used normal…

统计方法学 · 统计学 2015-03-13 Christian Röver , Renate Meyer , Nelson Christensen

This paper focuses on the consensus averaging problem on graphs under general noisy channels. We study a particular class of distributed consensus algorithms based on damped updates, and using the ordinary differential equation method, we…

信息论 · 计算机科学 2008-05-06 Ram Rajagopal , Martin J. Wainwright

Any measurement in condition monitoring applications is associated with disturbing noise. Till now, most of the diagnostic procedures have assumed the Gaussian distribution for the noise. This paper shares a novel perspective to the problem…

Quantum advantage requires overcoming noise-induced degradation of quantum systems. Conventional methods for reducing noise such as error mitigation face scalability issues in deep circuits. Specifically, noise hampers the extraction of…

量子物理 · 物理学 2023-12-05 Yonglong Ding , Ruyu Yang

Semi- and non-parametric mixture of regressions are a very useful flexible class of mixture of regressions in which some or all of the parameters are non-parametric functions of the covariates. These models are, however, based on the…

统计方法学 · 统计学 2026-01-13 Sphiwe B. Skhosana , Weixin Yao

We propose an outlier robust multivariate time series model which can be used for detecting previously unseen anomalous sounds based on noisy training data. The presented approach doesn't assume the presence of labeled anomalies in the…

声音 · 计算机科学 2022-02-07 Wo Jae Lee , Karim Helwani , Arvindh Krishnaswamy , Srikanth Tenneti

Gravitational wave detectors now under construction are sensitive to the phase of the incident gravitational waves. Correspondingly, the signals from the different detectors can be combined, in the analysis, to simulate a single detector of…

广义相对论与量子宇宙学 · 物理学 2009-12-31 Lee Samuel Finn

We consider signal source localization from range-difference measurements. First, we give some readily-checked conditions on measurement noises and sensor deployment to guarantee the asymptotic identifiability of the model and show the…

信号处理 · 电气工程与系统科学 2023-09-26 Guangyang Zeng , Biqiang Mu , Ling Shi , Jiming Chen , Junfeng Wu

The effect of time-correlated zero-mean Gaussian noise on chaotic synchronization is analyzed experimentally in small-size arrays of Chua's circuits. Depending on the correlation time, an improvement of the synchronization is found for…

chao-dyn · 物理学 2015-06-24 V. Perez-Munuzuri , M. N. Lorenzo

Providing non-conservative uncertainty quantification for function estimates derived from noisy observations remains a fundamental challenge in statistical machine learning, particularly for applications in safety-critical domains. In this…

机器学习 · 计算机科学 2026-05-12 Johannes Teutsch , Oleksii Molodchyk , Marion Leibold , Timm Faulwasser , Armin Lederer

Classical target detection schemes are usually obtained deriving the likelihood ratio under Gaussian hypothesis and replacing the unknown background parameters by their estimates. In most applications, interference signals are assumed to be…

应用统计 · 统计学 2014-04-14 Joana Frontera-Pons , Frederic Pascal , Jean-Philippe Ovarlez

I present here a generalization of the maximum likelihood method and the $\chi^2$ method to the cases in which the data are {\it not} assumed to be Gaussian distributed. The method, based on the multivariate Edgeworth expansion, can find…

天体物理学 · 物理学 2007-05-23 Luca Amendola

Gaussian mixtures are a powerful and widely used tool to model non-Gaussian estimation problems. They are able to describe measurement errors that follow arbitrary distributions and can represent ambiguity in assignment tasks like point set…

机器人学 · 计算机科学 2021-04-02 Tim Pfeifer , Sven Lange , Peter Protzel