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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…

Data Structures and Algorithms · Computer Science 2021-04-13 Weiming Feng , Kun He , Yitong Yin

This article develops a method to construct the optimal sequential test for monitoring the changes in the distribution of finite observation sequences with a general dependence structure. This method allows us to prove that different…

Statistics Theory · Mathematics 2019-08-01 Dong Han , Fugee Tsung , Jinguo Xian

Sampling-based motion planners (SBMPs) are widely used to compute dynamically feasible robot paths. However, their reliance on uniform sampling often leads to poor efficiency and slow planning in complex environments. We introduce a novel…

Robotics · Computer Science 2025-11-10 Shubham Natraj , Bruno Sinopoli , Yiannis Kantaros

Time series anomaly detection is instrumental in maintaining system availability in various domains. Current work in this research line mainly focuses on learning data normality deeply and comprehensively by devising advanced neural network…

Machine Learning · Computer Science 2024-04-25 Hongzuo Xu , Yijie Wang , Songlei Jian , Qing Liao , Yongjun Wang , Guansong Pang

In this paper, we study the optimal multiple stopping problem under the filtration consistent nonlinear expectations. The reward is given by a set of random variables satisfying some appropriate assumptions rather than an RCLL process. We…

Probability · Mathematics 2019-08-21 Hanwu Li

Subsampling is commonly used to overcome computational and economical bottlenecks in the analysis of finite populations and massive datasets. Existing methods are often limited in scope and use optimality criteria (e.g., A-optimality) with…

Statistics Theory · Mathematics 2023-04-07 Henrik Imberg , Marina Axelson-Fisk , Johan Jonasson

In this paper, we study a class of stochastic and finite-sum convex optimization problems with deterministic constraints. Existing methods typically aim to find an $\epsilon$-$expectedly\ feasible\ stochastic\ optimal$ solution, in which…

Optimization and Control · Mathematics 2025-06-26 Zhaosong Lu , Yifeng Xiao

We introduce a novel approach based on stochastic optimization to find the optimal sampling distribution for the data-driven stability analysis of switched linear systems. Our goal is to address limitations of existing approaches, in…

Optimization and Control · Mathematics 2025-09-01 Alexis Vuille , Guillaume O. Berger , Raphaël M. Jungers

A decision maker records measurements of a finite-state Markov chain corrupted by noise. The goal is to decide when the Markov chain hits a specific target state. The decision maker can choose from a finite set of sampling intervals to pick…

Optimization and Control · Mathematics 2012-08-17 Vikram Krishnamurthy

The problem of quickest detection of a change in the distribution of a sequence of random variables is studied. The objective is to detect the change with the minimum possible delay, subject to constraints on the rate of false alarms and…

Methodology · Statistics 2024-12-31 Yingze Hou , Hoda Bidkhori , Taposh Banerjee

In this paper we consider the problem of estimating quantiles when data are received sequentially (data stream). For real life data streams, the distribution of the data typically varies with time making estimation of quantiles challenging.…

Methodology · Statistics 2017-02-02 Hugo Lewi Hammer , Anis Yazidi , Håvard Rue

The problem of quickest anomaly detection in networks with unlabeled samples is studied. At some unknown time, an anomaly emerges in the network and changes the data-generating distribution of some unknown sensor. The data vector received…

Signal Processing · Electrical Eng. & Systems 2023-04-19 Zhongchang Sun , Shaofeng Zou

We derive asymptotically optimal statistical decision rules for discrete choice problems when payoffs depend on a partially-identified parameter $\theta$ and the decision maker can use a point-identified parameter $\mu$ to deduce…

Econometrics · Economics 2025-12-19 Timothy Christensen , Hyungsik Roger Moon , Frank Schorfheide

Anomaly detection methods can be very useful in identifying unusual or interesting patterns in data. A recently proposed conditional anomaly detection framework extends anomaly detection to the problem of identifying anomalous patterns on a…

Machine Learning · Computer Science 2026-05-12 Michal Valko , Gregory Cooper , Amy Seybert , Shyam Visweswaran , Melissa Saul , Miloš Hauskrecht

Time series anomaly detection is crucial for industrial monitoring services that handle a large volume of data, aiming to ensure reliability and optimize system performance. Existing methods often require extensive labeled resources and…

Machine Learning · Computer Science 2023-07-21 Manqing Dong , Zhanxiang Zhao , Yitong Geng , Wentao Li , Wei Wang , Huai Jiang

This paper addresses the problem of sequential submodular maximization: selecting and ranking items in a sequence to optimize some composite submodular function. In contrast to most of the previous works, which assume access to the utility…

Machine Learning · Computer Science 2024-09-10 Jing Yuan , Shaojie Tang

Anomaly detection is the process of identifying abnormal instances or events in data sets which deviate from the norm significantly. In this study, we propose a signatures based machine learning algorithm to detect rare or unexpected items…

Computational Finance · Quantitative Finance 2022-02-09 Erdinc Akyildirim , Matteo Gambara , Josef Teichmann , Syang Zhou

This paper addresses a fundamental problem in random variate generation: given access to a random source that emits a stream of independent fair bits, what is the most accurate and entropy-efficient algorithm for sampling from a discrete…

Data Structures and Algorithms · Computer Science 2020-03-10 Feras A. Saad , Cameron E. Freer , Martin C. Rinard , Vikash K. Mansinghka

We propose an optimal sequential methodology for obtaining confidence intervals for a binomial proportion $\theta$. Assuming that an i.i.d. random sequence of Benoulli($\theta$) trials is observed sequentially, we are interested in…

Methodology · Statistics 2017-11-21 Tony Yaacoub , George V. Moustakides , Yajun Mei

Uncertain data streams have been widely generated in many Web applications. The uncertainty in data streams makes anomaly detection from sensor data streams far more challenging. In this paper, we present a novel framework that supports…

Artificial Intelligence · Computer Science 2016-07-21 Jiangang Ma , Le Sun , Hua Wang , Yanchun Zhang , Uwe Aickelin
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