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An active inference problem of detecting anomalies among heterogeneous processes is considered. At each time, a subset of processes can be probed. The objective is to design a sequential probing strategy that dynamically determines which…

Information Theory · Computer Science 2018-08-29 Boshuang Huang , Kobi Cohen , Qing Zhao

An active hypothesis testing problem is formulated. In this problem, 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 needed.…

Information Theory · Computer Science 2019-01-23 Dhruva Kartik , Ashutosh Nayyar , Urbashi Mitra

Sequential detection of independent anomalous processes among K processes is considered. At each time, only M processes can be observed, and the observations from each chosen process follow two different distributions, depending on whether…

Information Theory · Computer Science 2023-07-19 Kobi Cohen , Qing Zhao

Active learning can reduce the number of samples needed to perform a hypothesis test and to estimate the parameters of a model. In this paper, we revisit the work of Chernoff that described an asymptotically optimal algorithm for performing…

Machine Learning · Statistics 2022-03-14 Subhojyoti Mukherjee , Ardhendu Tripathy , Robert Nowak

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

Reliability of sequential hypothesis testing can be greatly improved when the decision maker is given the freedom to adaptively take an action that determines the distribution of the current collected sample. Such advantage of sampling…

Information Theory · Computer Science 2025-07-11 Chia-Yu Hsu , I-Hsiang Wang

The problem of detecting anomalies in multiple processes is considered. We consider a composite hypothesis case, in which the measurements drawn when observing a process follow a common distribution with an unknown parameter (vector), whose…

Information Theory · Computer Science 2020-04-22 Bar Hemo , Tomer Gafni , Kobi Cohen , Qing Zhao

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

The problem of multiple hypothesis testing with observation control is considered in both fixed sample size and sequential settings. In the fixed sample size setting, for binary hypothesis testing, the optimal exponent for the maximal error…

Information Theory · Computer Science 2013-09-05 Sirin Nitinawarat , George Atia , Venugopal V. Veeravalli

Active Sequential Hypothesis Testing (ASHT) is an extension of the classical sequential hypothesis testing problem with controls. Chernoff (Ann. Math. Statist., 1959) proposed a policy called Procedure A and showed its asymptotic optimality…

Information Theory · Computer Science 2015-05-12 Nidhin Koshy Vaidhiyan , Rajesh Sundaresan

We address the problem of detecting an anomalous process among a large number of processes. At each time t, normal processes are in state zero (normal state), while the abnormal process may be in either state zero (normal state) or state…

Signal Processing · Electrical Eng. & Systems 2025-06-23 Levli Citron , Kobi Cohen , Qing Zhao

The problem of detecting a single anomalous process among multiple independent processes is considered. Under a constraint on the number of processes that can be probed simultaneously, the decision maker should decide which processes to…

Signal Processing · Electrical Eng. & Systems 2021-01-15 Fengfan Qin , Da Chen , Hui Feng , Qing Zhao , Tao Yang , Bo Hu

In this paper, we address the anomaly detection problem where the objective is to find the anomalous processes among a given set of processes. To this end, the decision-making agent probes a subset of processes at every time instant and…

Machine Learning · Computer Science 2021-05-14 Geethu Joseph , Chen Zhong , M. Cenk Gursoy , Senem Velipasalar , Pramod K. Varshney

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

Anomaly detection is widely applied in a variety of domains, involving for instance, smart home systems, network traffic monitoring, IoT applications and sensor networks. In this paper, we study deep reinforcement learning based active…

Machine Learning · Computer Science 2019-08-29 Chen Zhong , M. Cenk Gursoy , Senem Velipasalar

In this paper, we study the problem of determining $k$ anomalous random variables that have different probability distributions from the rest $(n-k)$ random variables. Instead of sampling each individual random variable separately as in the…

Information Theory · Computer Science 2024-09-09 Myung Cho , Weiyu Xu , Lifeng Lai

We consider the problem of detecting the true quantum state among $r$ possible ones, based of measurements performed on $n$ copies of a finite-dimensional quantum system. A special case is the problem of discriminating between $r$…

Quantum Physics · Physics 2012-05-14 Michael Nussbaum , Arleta Szkoła

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

We study "active" decision making over sensor networks where the sensors' sequential probing actions are actively chosen by continuously learning from past observations. We consider two network settings: with and without central…

Methodology · Statistics 2020-11-30 Anshuka Rangi , Massimo Franceschetti , Stefano Marano

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
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