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When a sensor has continuous measurements but sends limited messages over a data network to a supervisor which estimates the state, the available packet rate fixes the achievable quality of state estimation. When such rate limits turn…

最优化与控制 · 数学 2011-07-21 Maben Rabi , George V. Moustakides , John S. Baras

This work considers the problem of quickest detection of signals in a coupled system of N sensors, which receive continuous sequential observations from the environment. It is assumed that the signals, which are modeled a general Ito…

信息论 · 计算机科学 2016-11-15 Olympia Hadjiliadis , Tobias Schaefer , H. Vincent Poor

This work develops novel strategies for optimal planning with semantic observations using continuous state partially observable markov decision processes (CPOMDPs). Two major innovations are presented in relation to Gaussian mixture (GM)…

人工智能 · 计算机科学 2019-08-09 Luke Burks , Ian Loefgren , Nisar Ahmed

In this paper, we propose and analyze an attack detection scheme for securing the physical layer of a networked control system against attacks where the adversary replaces the true observations with stationary false data. An independent and…

最优化与控制 · 数学 2021-01-06 Arunava Naha , Andre Teixeira , Anders Ahlen , Subhrakanti Dey

We show optimality, in a well-defined sense, using cumulative sum (CUSUM) charts for detecting changes in distributions. We consider a setting with multiple changes between two known distributions. This result advocates the use of…

统计方法学 · 统计学 2012-05-10 F. Din-Houn Lau , Axel Gandy

Many discrete-time optimal stopping problems are known to have more tractable limit forms based on a planar Poisson process. Using this tool we find a solution to the optimal stopping problem for i.i.d. sequence of $n$ discrete uniform…

概率论 · 数学 2026-01-09 Alexander Gnedin

This work examines the problem of sequential detection of a change in the drift of a Brownian motion in the case of two-sided alternatives. Applications to real life situations in which two-sided changes can occur are discussed.…

信息论 · 计算机科学 2007-07-13 Olympia Hadjiliadis , H. Vincent Poor

We study the numerical solution of nonlinear partially observed optimal stopping problems. The system state is taken to be a multi-dimensional diffusion and drives the drift of the observation process, which is another multi-dimensional…

最优化与控制 · 数学 2010-01-20 Mike Ludkovski

The Random early detection (RED) active queue management (AQM) scheme uses the average queue size to calculate the dropping probability in terms of minimum and maximum thresholds. The effect of heavy load enhances the frequency of crossing…

网络与互联网体系结构 · 计算机科学 2016-02-09 Karmeshu , Sanjeev Patel , Shalabh Bhatnagar

We give a fast algorithm for sampling uniform solutions of general constraint satisfaction problems (CSPs) in a local lemma regime. Suppose that the CSP has $n$ variables with domain size at most q, each constraint contains at most k…

数据结构与算法 · 计算机科学 2023-03-10 Kun He , Chunyang Wang , Yitong Yin

We consider the problem of quickest changepoint detection under the Average Run Length (ARL) constraint where the pre-change and post-change laws lie in composite families $\mathscr{P}$ and $\mathscr{Q}$ respectively. In such a problem, a…

统计理论 · 数学 2026-02-06 Ashwin Ram , Aaditya Ramdas

Supervised learning deals with the inference of a distribution over an output or label space $\CY$ conditioned on points in an observation space $\CX$, given a training dataset $D$ of pairs in $\CX \times \CY$. However, in a lot of…

机器学习 · 计算机科学 2007-11-15 Christos Dimitrakakis , Christian Savu-Krohn

Sparse Gaussian graphical models characterize sparse dependence relationships between random variables in a network. To estimate multiple related Gaussian graphical models on the same set of variables, we formulate a hierarchical model,…

统计方法学 · 统计学 2014-06-10 Yuancheng Zhu , Rina Foygel Barber

A multi-class single-server queueing model with finite buffers, in which scheduling and admission of customers are subject to control, is studied in the moderate deviation heavy traffic regime. A risk-sensitive cost set over a finite time…

概率论 · 数学 2018-05-02 Rami Atar , Asaf Cohen

Opportunistic detection rules (ODRs) are variants of fixed-sample-size detection rules in which the statistician is allowed to make an early decision on the alternative hypothesis opportunistically based on the sequentially observed…

信息论 · 计算机科学 2016-02-15 Wenyi Zhang , George V. Moustakides , H. Vincent Poor

We study a Wiener disorder problem of detecting the minimum of $N$ change-points in $N$ observation channels coupled by correlated noises. It is assumed that the observations in each dimension can have different strengths and that the…

统计理论 · 数学 2015-10-29 Hongzhong Zhang , Neofytos Rodosthenous , Olympia Hadjiliadis

In this paper, we consider the adaptive linear quadratic Gaussian control problem, where both the linear transformation matrix of the state $A$ and the control gain matrix $B$ are unknown. The proposed adaptive optimal control only assumes…

最优化与控制 · 数学 2024-09-17 Nian Liu , Cheng Zhao , Shaolin Tan , Jinhu Lü

We consider a continuous-time linear-quadratic Gaussian control problem with partial observations and costly information acquisition. More precisely, we assume the drift of the state process to be governed by an unobservable…

最优化与控制 · 数学 2024-08-20 Christoph Knochenhauer , Alexander Merkel , Yufei Zhang

We consider the offline change point detection and localization problem in the context of piecewise stationary networks, where the observable is a finite sequence of networks. We develop algorithms involving some suitably modified CUSUM…

统计方法学 · 统计学 2020-09-07 Sharmodeep Bhattacharyya , Shirshendu Chatterjee , Soumendu Sundar Mukherjee

We investigate an optimal stopping problem for the expected value of a discounted payoff on a regime-switching geometric Brownian motion under two constraints on the possible stopping times: only at exogenous random times and only during a…

概率论 · 数学 2024-11-20 Takuji Arai , Masahiko Takenaka