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Choice models, which capture popular preferences over objects of interest, play a key role in making decisions whose eventual outcome is impacted by human choice behavior. In most scenarios, the choice model, which can effectively be viewed…

统计方法学 · 统计学 2011-09-22 Vivek F. Farias , Srikanth Jagabathula , Devavrat Shah

This paper presents DRE-CUSUM, an unsupervised density-ratio estimation (DRE) based approach to determine statistical changes in time-series data when no knowledge of the pre-and post-change distributions are available. The core idea behind…

机器学习 · 计算机科学 2022-01-28 Sudarshan Adiga , Ravi Tandon

In this paper, we consider the mixture of sparse linear regressions model. Let ${\beta}^{(1)},\ldots,{\beta}^{(L)}\in\mathbb{C}^n$ be $ L $ unknown sparse parameter vectors with a total of $ K $ non-zero coefficients. Noisy linear…

信息论 · 计算机科学 2018-08-03 Dong Yin , Ramtin Pedarsani , Yudong Chen , Kannan Ramchandran

This paper considers the problems of detecting a change point and estimating the location in the correlation matrices of a sequence of high-dimensional vectors, where the dimension is large enough to be comparable to the sample size or even…

统计方法学 · 统计学 2023-11-07 Zhaoyuan Li , Jie Gao

Simultaneously monitoring changes in both the mean and variance is a fundamental problem in Statistical Process Control, and numerous methods have been developed to address it. However, many existing approaches face notable limitations:…

统计方法学 · 统计学 2025-09-03 Gokul Parakulum , Jun Li

We investigate sequential change point estimation and detection in univariate nonparametric settings, where a stream of independent observations from sub-Gaussian distributions with a common variance factor and piecewise-constant but…

统计理论 · 数学 2020-11-16 Yi Yu , Oscar Hernan Madrid Padilla , Daren Wang , Alessandro Rinaldo

Detection of a signal under noise is a classical signal processing problem. When monitoring spatial phenomena under a fixed budget, i.e., either physical, economical or computational constraints, the selection of a subset of available…

信号处理 · 电气工程与系统科学 2018-08-01 Mario Coutino , Sundeep Prabhakar Chepuri , Geert Leus

Focusing on identification, this paper develops techniques to reconstruct zero and nonzero elements of a sparse parameter vector of a stochastic dynamic system under feedback control, for which the current input may depend on the past…

系统与控制 · 电气工程与系统科学 2019-09-04 Wenxiao Zhao , George G. Yin , Er-Wei Bai

In tracking of time-varying low-rank models of time-varying matrices, we present a method robust to both uniformly-distributed measurement noise and arbitrarily-distributed ``sparse'' noise. In theory, we bound the tracking error. In…

最优化与控制 · 数学 2020-02-05 Albert Akhriev , Jakub Marecek , Andrea Simonetto

This manuscript makes two contributions to the field of change-point detection. In a generalchange-point setting, we provide a generic algorithm for aggregating local homogeneity testsinto an estimator of change-points in a time series.…

统计理论 · 数学 2022-12-09 Emmanuel Pilliat , Alexandra Carpentier , Nicolas Verzelen

A generalized multisensor sequential change detection problem is considered, in which a number of (possibly correlated) sensors monitor an environment in real time, the joint distribution of their observations is determined by a global…

应用统计 · 统计学 2016-01-12 Georgios Fellouris , Grigory Sokolov

The problem of quickest detection of a change in distribution is considered under the assumption that the pre-change distribution is known, and the post-change distribution is only known to belong to a family of distributions…

应用统计 · 统计学 2019-01-30 Tze Siong Lau , Wee Peng Tay , Venugopal V. Veeravalli

Sparse coding refers to the pursuit of the sparsest representation of a signal in a typically overcomplete dictionary. From a Bayesian perspective, sparse coding provides a Maximum a Posteriori (MAP) estimate of the unknown vector under a…

信号处理 · 电气工程与系统科学 2019-09-04 Dror Simon , Jeremias Sulam , Yaniv Romano , Yue M. Lu , Michael Elad

This paper considers the design of tunable decision schemes capable of rejecting with high probability mismatched signals embedded in Gaussian interference with unknown covariance matrix. To this end, a sparse recovery technique is…

信号处理 · 电气工程与系统科学 2020-04-29 Sudan Han , Luca Pallotta , Xiaotao Huang , Gaetano Giunta , Danilo Orlando

This paper considers the distributed sparse identification problem over wireless sensor networks such that all sensors cooperatively estimate the unknown sparse parameter vector of stochastic dynamic systems by using the local information…

系统与控制 · 电气工程与系统科学 2022-03-08 Die Gan , Zhixin Liu

The problem of detecting change points in the parameters of a linear regression model with errors and covariates exhibiting heteroscedasticity is considered. Asymptotic results for weighted functionals of the cumulative sum (CUSUM)…

计量经济学 · 经济学 2025-10-28 Lajos Horvath , Gregory Rice , Yuqian Zhao

Detecting if and when objects change is difficult in passive sub-diffraction imaging of dynamic scenes. We consider the best possible tradeoff between responsivity and accuracy for detecting a change from one arbitrary object model to…

量子物理 · 物理学 2023-08-17 Michael R Grace , Saikat Guha , Zachary Dutton

In the first part of the series papers, we set out to answer the following question: given specific restrictions on a set of samplers, what kind of signal can be uniquely represented by the corresponding samples attained, as the foundation…

信息论 · 计算机科学 2021-08-25 Hanshen Xiao , Yaowen Zhang , Guoqiang Xiao

The problem of quickest change detection with communication rate constraints is studied. A network of wireless sensors with limited computation capability monitors the environment and sends observations to a fusion center via wireless…

系统与控制 · 计算机科学 2016-09-06 Xiaoqiang Ren , Karl H. Johansson , Dawei Shi , Ling Shi

The problem of quickest detection of a change in the distribution of a sequence of independent observations is considered. The pre-change observations are assumed to be stationary with a known distribution, while the post-change…

信号处理 · 电气工程与系统科学 2022-10-19 Yuchen Liang , Alexander G. Tartakovsky , Venugopal V. Veeravalli