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Two active hypothesis testing problems are formulated. In these problems, the agent can perform a fixed number of experiments and then decide on one of the hypotheses. The agent is also allowed to declare its experiments inconclusive if…

Systems and Control · Electrical Eng. & Systems 2019-11-19 Dhruva Kartik , Ashutosh Nayyar , Urbashi Mitra

Consider a decision maker who is responsible to dynamically collect observations so as to enhance his information about an underlying phenomena of interest in a speedy manner while accounting for the penalty of wrong declaration. Due to the…

Information Theory · Computer Science 2013-12-19 Mohammad Naghshvar , Tara Javidi

Detection of anomalies among a large number of processes is a fundamental task that has been studied in multiple research areas, with diverse applications spanning from spectrum access to cyber-security. Anomalous events are characterized…

Information Theory · Computer Science 2022-08-12 Benjamin Wolff , Tomer Gafni , Guy Revach , Nir Shlezinger , Kobi Cohen

A combination of deep reinforcement learning and supervised learning is proposed for the problem of active sequential hypothesis testing in completely unknown environments. We make no assumptions about the prior probability, the action and…

Artificial Intelligence · Computer Science 2023-06-07 George Stamatelis , Nicholas Kalouptsidis

The problem of sequential anomaly detection is considered, where multiple data sources are monitored in real time and the goal is to identify the "anomalous" ones among them, when it is not possible to sample all sources at all times. A…

Statistics Theory · Mathematics 2022-05-23 Aristomenis Tsopelakos , Georgios Fellouris

We address the problem of searching for a change point in an anomalous process among a finite set of M processes. Specifically, we address a composite hypothesis model in which each process generates measurements following a common…

Machine Learning · Statistics 2024-12-30 Liad Lea Didi , Tomer Gafni , Kobi Cohen

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

In critical applications of anomaly detection including computer security and fraud prevention, the anomaly detector must be configurable by the analyst to minimize the effort on false positives. One important way to configure the anomaly…

Machine Learning · Computer Science 2018-09-19 Shubhomoy Das , Md Rakibul Islam , Nitthilan Kannappan Jayakodi , Janardhan Rao Doppa

Businesses are naturally interested in detecting anomalies in their internal processes, because these can be indicators for fraud and inefficiencies. Within the domain of business intelligence, classic anomaly detection is not very…

Artificial Intelligence · Computer Science 2018-05-01 Timo Nolle , Stefan Luettgen , Alexander Seeliger , Max Mühlhäuser

We study the problem of identifying an anomalous subset of streams under correlated noise, motivated by monitoring and security in cyber-physical systems. This problem can be viewed as a form of combinatorial pure exploration, where each…

Machine Learning · Computer Science 2026-01-27 Zichuan Yang , Yiming Xing

The problem of searching for $L$ anomalous processes among $M$ processes is considered. At each time, the decision maker can observe a subset of $K$ processes (i.e., multiple plays). The measurement drawn when observing a process follows…

Information Theory · Computer Science 2022-01-19 Tidhar Lambez , Kobi Cohen

Consider $n$ random variables forming a Markov random field (MRF). The true model of the MRF is unknown, and it is assumed to belong to a binary set. The objective is to sequentially sample the random variables (one-at-a-time) such that the…

Methodology · Statistics 2020-08-04 Javad Heydari , Ali Tajer , H. Vincent Poor

The problem of sequentially detecting a moving anomaly which affects different parts of a sensor network with time is studied. Each network sensor is characterized by a non-anomalous and anomalous distribution, governing the generation of…

Statistics Theory · Mathematics 2020-07-30 Georgios Rovatsos , George V. Moustakides , Venugopal V. Veeravalli

Information theory has been very successful in obtaining performance limits for various problems such as communication, compression and hypothesis testing. Likewise, stochastic control theory provides a characterization of optimal policies…

Information Theory · Computer Science 2018-10-15 Dhruva Kartik , Ekraam Sabir , Urbashi Mitra , Prem Natarajan

Many organisations manage service quality and monitor a large set devices and servers where each entity is associated with telemetry or physical sensor data series. Recently, various methods have been proposed to detect behavioural…

Social and Information Networks · Computer Science 2023-05-10 Len Feremans , Boris Cule , Bart Goethals

We address the problem of monitoring a set of binary stochastic processes and generating an alert when the number of anomalies among them exceeds a threshold. For this, the decision-maker selects and probes a subset of the processes to…

Machine Learning · Computer Science 2023-06-19 Geethu Joseph , M. Cenk Gursoy , Pramod K. Varshney

The asymptotic efficiency of a generalized likelihood ratio test proposed by Cox is studied under the large deviations framework for error probabilities developed by Chernoff. In particular, two separate parametric families of hypotheses…

Statistics Theory · Mathematics 2016-06-28 Xiaoou Li , Jingchen Liu , Zhiliang Ying

We investigate the application of active inference in developing energy-efficient control agents for manufacturing systems. Active inference, rooted in neuroscience, provides a unified probabilistic framework integrating perception,…

Machine Learning · Computer Science 2025-05-28 Yavar Taheri Yeganeh , Mohsen Jafari , Andrea Matta

Anomalies represent deviations from the intended system operation and can lead to decreased efficiency as well as partial or complete system failure. As the causes of anomalies are often unknown due to complex system dynamics, efficient…

Machine Learning · Computer Science 2021-08-31 Benjamin Lindemann , Benjamin Maschler , Nada Sahlab , Michael Weyrich

In many applications one is interested to detect certain (known) patterns in the mean of a process with smallest delay. Using an asymptotic framework which allows to capture that feature, we study a class of appropriate sequential…

Statistics Theory · Mathematics 2018-05-01 Ansgar Steland