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Anomaly detection, where data instances are discovered containing feature patterns different from the majority, plays a fundamental role in various applications. However, it is challenging for existing methods to handle the scenarios where…

Machine Learning · Computer Science 2023-04-24 Guanchu Wang , Ninghao Liu , Daochen Zha , Xia Hu

Continuous-time Markov decision processes are an important class of models in a wide range of applications, ranging from cyber-physical systems to synthetic biology. A central problem is how to devise a policy to control the system in order…

Systems and Control · Computer Science 2016-06-01 Ezio Bartocci , Luca Bortolussi , Tomǎš Brázdil , Dimitrios Milios , Guido Sanguinetti

Detecting anomalies in large sets of observations is crucial in various applications, such as epidemiological studies, gene expression studies, and systems monitoring. We consider settings where the units of interest result in multiple…

Methodology · Statistics 2025-12-22 Ivo V. Stoepker , Rui M. Castro , Ery Arias-Castro

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.…

Statistics Theory · Mathematics 2020-02-04 Georgios Rovatsos , Venugopal V. Veeravalli , Don Towsley , Ananthram Swami

This paper studies the problem of recursively estimating the weighted adjacency matrix of a network out of a temporal sequence of binary-valued observations. The observation sequence is generated from nonlinear networked dynamics in which…

Systems and Control · Electrical Eng. & Systems 2019-12-06 Yu Xing , Xingkang He , Haitao Fang , Karl Henrik Johansson

Bandit algorithms are widely used in sequential decision problems to maximize the cumulative reward. One potential application is mobile health, where the goal is to promote the user's health through personalized interventions based on user…

Machine Learning · Statistics 2022-08-23 Gi-Soo Kim , Hyun-Joon Yang , Jane P. Kim

This paper describes a methodology for detecting anomalies from sequentially observed and potentially noisy data. The proposed approach consists of two main elements: (1) {\em filtering}, or assigning a belief or likelihood to each…

Machine Learning · Computer Science 2016-11-17 Maxim Raginsky , Rebecca Willett , Corinne Horn , Jorge Silva , Roummel Marcia

We consider an evolving system for which a sequence of observations is being made, with each observation revealing additional information about current and past states of the system. We suppose each observation is made without error, but…

Computation · Statistics 2021-03-10 Valentina Di Marco , Jonathan Keith

The anomaly detection problem for univariate or multivariate time series is a critical question in many practical applications as industrial processes control, biological measures, engine monitoring, supervision of all kinds of behavior. In…

Statistics Theory · Mathematics 2020-10-16 Marie Cottrell , Cynthia Faure , Jérôme Lacaille , Madalina Olteanu

In this paper, we study a continuous-time discounted jump Markov decision process with both controlled actions and observations. The observation is only available for a discrete set of time instances. At each time of observation, one has to…

Optimization and Control · Mathematics 2019-07-16 Yunhan Huang , Veeraruna Kavitha , Quanyan Zhu

The problem of sequential anomaly detection and identification is considered, where multiple data sources are simultaneously monitored and the goal is to identify in real time those, if any, that exhibit ``anomalous" statistical behavior.…

Statistics Theory · Mathematics 2024-12-09 Aristomenis Tsopelakos , Georgios Fellouris

Optimization of decision problems in stochastic environments is usually concerned with maximizing the probability of achieving the goal and minimizing the expected episode length. For interacting agents in time-critical applications,…

Artificial Intelligence · Computer Science 2007-05-23 Balint Takacs , Istvan Szita , Andras Lorincz

We consider the inverse reinforcement learning problem, that is, the problem of learning from, and then predicting or mimicking a controller based on state/action data. We propose a statistical model for such data, derived from the…

Machine Learning · Statistics 2012-11-27 Sumeetpal S. Singh , Nicolas Chopin , Nick Whiteley

A random sequence having two segments being the homogeneous Markov processes is registered. Each segment has his own transition probability law and the length of the segment is unknown and random. The transition probabilities of each…

Statistics Theory · Mathematics 2020-11-17 A. Ochman-Gozdek , W. Sarnowski , K. J. Szajowski

The design of reliable indicators to anticipate critical transitions in complex systems is an im portant task in order to detect a coming sudden regime shift and to take action in order to either prevent it or mitigate its consequences. We…

Data Analysis, Statistics and Probability · Physics 2022-12-14 Martin Heßler , Oliver Kamps

Fault detection is a key challenge in the management of complex systems. In the context of SparkCognition's efforts towards predictive maintenance in large scale industrial systems, this problem is often framed in terms of anomaly detection…

Machine Learning · Computer Science 2024-05-29 Elad Liebman

In high-stakes systems such as healthcare, it is critical to understand the causal reasons behind unusual events, such as sudden changes in patient's health. Unveiling the causal reasons helps with quick diagnoses and precise treatment…

Machine Learning · Computer Science 2024-03-20 Yiling Kuang , Chao Yang , Yang Yang , Shuang Li

The identification of anomalies is a critical component of operating complex, and possibly large-scale and geo-graphically distributed cyber-physical systems. While designing anomaly detectors, it is common to assume Gaussian noise models…

Systems and Control · Electrical Eng. & Systems 2021-11-15 Venkatraman Renganathan , Navid Hashemi , Justin Ruths , Tyler H. Summers

We consider the problem of sequential evaluation, in which an evaluator observes candidates in a sequence and assigns scores to these candidates in an online, irrevocable fashion. Motivated by the psychology literature that has studied…

Machine Learning · Statistics 2023-11-20 Jingyan Wang , Ashwin Pananjady

We present a solution to the problem of understanding a system that produces a sequence of temporally ordered observations. Our solution is based on generating and interpreting a set of temporal decision rules. A temporal decision rule is a…

Machine Learning · Computer Science 2010-04-21 Kamran Karimi , Howard J. Hamilton