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Sequential Bayesian experimental design typically assumes that the number of experiments is fixed before data collection begins. In practical campaigns, however, experimentation may need to terminate early because additional measurements…

统计方法学 · 统计学 2026-05-29 Chen Cheng , Xun Huan

We investigate the problem of covert quickest change detection in a Bayesian and infinite-horizon setting. A legitimate entity seeks to detect a change in the state of a discrete memoryless channel as quickly as possible by actively probing…

信息论 · 计算机科学 2026-05-18 Yun-Feng Lo , Matthieu R. Bloch

We examine the problem of almost-uniform sampling proper $q$-colorings of a graph whose maximum degree is $\Delta$. A famous result, discovered independently by Jerrum(1995) and Salas and Sokal(1997), is that, assuming $q > (2+\delta)…

数据结构与算法 · 计算机科学 2018-06-22 Weiming Feng , Thomas P. Hayes , Yitong Yin

The problem of quickest growing dynamic anomaly detection in sensor networks is studied. Initially, the observations at the sensors, which are sampled sequentially by the decision maker, are generated according to a pre-change distribution.…

统计理论 · 数学 2020-02-04 Georgios Rovatsos , Venugopal V. Veeravalli , Don Towsley , Ananthram Swami

We consider the \mnk{classical} problem of a controller activating (or sampling) sequentially from a finite number of $N \geq 2$ populations, specified by unknown distributions. Over some time horizon, at each time $n = 1, 2, \ldots$, the…

机器学习 · 统计学 2015-12-18 Wesley Cowan , Michael N. Katehakis

Power system outages expose market participants to significant financial risk unless promptly detected and hedged. We develop an outage identification method from public market signals grounded in the parametric quickest change detection…

系统与控制 · 电气工程与系统科学 2026-01-21 Milad Hoseinpour , Shubhanshu Shekhar , Vladimir Dvorkin

We consider the change detection problem where the pre-change observation vectors are purely noise and the post-change observation vectors are noise-corrupted compressive measurements of sparse signals with a common support, measured using…

信号处理 · 电气工程与系统科学 2019-01-25 Aditi Jain , Pradeep Sarvepalli , Srikrishna Bhashyam , Arun Pachai Kannu

In this paper easily applicable techniques are devised for detecting changepoints in autocorrelated Gaussian sequences. Our method proceeds by sequential evaluation of a CUSUM-type test statistic, which is compared to a predefined…

概率论 · 数学 2016-02-09 W. Ellens , J. Kuhn , M. Mandjes , P. Żuraniewski

We propose a stochastic optimization method for minimizing loss functions, expressed as an expected value, that adaptively controls the batch size used in the computation of gradient approximations and the step size used to move along such…

机器学习 · 计算机科学 2020-03-04 Achraf Bahamou , Donald Goldfarb

We consider a discrete-time linear quadratic Gaussian networked control setting where the (full information) observer and controller are separated by a fixed-rate noiseless channel. The minimal rate required to stabilize such a system has…

系统与控制 · 计算机科学 2018-09-14 Anatoly Khina , Yorie Nakahira , Yu Su , Hikmet Yıldız , Babak Hassibi

Adaptive experiments, including efficient average treatment effect estimation and multi-armed bandit algorithms, have garnered attention in various applications, such as social experiments, clinical trials, and online advertisement…

统计方法学 · 统计学 2021-03-24 Masahiro Kato

We give a Markov chain based algorithm for sampling almost uniform solutions of constraint satisfaction problems (CSPs). Assuming a canonical setting for the Lov\'asz local lemma, where each constraint is violated by a small number of…

数据结构与算法 · 计算机科学 2021-04-13 Weiming Feng , Kun He , Yitong Yin

The problem of identifying change points in high-dimensional Gaussian graphical models (GGMs) in an online fashion is of interest, due to new applications in biology, economics and social sciences. The offline version of the problem, where…

统计理论 · 数学 2020-03-18 Hossein Keshavarz , George Michailidis

Detecting abrupt changes in data streams is crucial because they are often triggered by events that have important consequences if left unattended. Quickest change point detection has become a vital sequential analysis primitive that aims…

量子物理 · 物理学 2023-10-23 Marco Fanizza , Christoph Hirche , John Calsamiglia

Distributed consensus has been widely studied for sensor network applications. Whereas the asymptotic convergence rate has been extensively explored in prior work, other important and practical issues, including energy efficiency and link…

网络与互联网体系结构 · 计算机科学 2013-04-10 Lei Chen , Jeff Frolik

We use martingale and stochastic analysis techniques to study a continuous-time optimal stopping problem, in which the decision maker uses a dynamic convex risk measure to evaluate future rewards. We also find a saddle point for an…

概率论 · 数学 2009-11-23 Erhan Bayraktar , Ioannis Karatzas , Song Yao

Quickest change point detection is concerned with the detection of statistical change(s) in sequences while minimizing the detection delay subject to false alarm constraints. In this paper, the problem of change point detection is studied…

信息论 · 计算机科学 2015-06-19 George Atia

We propose a novel graphical model selection (GMS) scheme for high-dimensional stationary time series or discrete time process. The method is based on a natural generalization of the graphical LASSO (gLASSO), introduced originally for GMS…

机器学习 · 统计学 2023-07-19 Alexander Jung , Gabor Hannak , Norbert Görtz

We study the sample complexity of learning an $\epsilon$-optimal policy in the Stochastic Shortest Path (SSP) problem. We first derive sample complexity bounds when the learner has access to a generative model. We show that there exists a…

机器学习 · 计算机科学 2022-10-12 Liyu Chen , Andrea Tirinzoni , Matteo Pirotta , Alessandro Lazaric

This paper considers a half-duplex scenario where an interferer behaves according to a parametric model but the values of the model parameters are unknown. We explore the necessary number of sensing steps to gather sufficient knowledge…

信息论 · 计算机科学 2024-10-11 Vincent Corlay , Jean-Christophe Sibel , Nicolas Gresset
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