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We solve a sequential decision-making problem under uncertainty that takes into account the failure probability of a task. This problem cannot be handled by the stochastic shortest path problem, which is the standard model for sequential…

Optimization and Control · Mathematics 2024-09-26 Ritsusamuel Otsubo

The problem of synthesizing an optimal sensor selection policy is pertinent to a variety of engineering applications ranging from event detection to autonomous navigation. We consider such a synthesis problem over an infinite time horizon…

Systems and Control · Electrical Eng. & Systems 2020-12-24 Michael Hibbard , Kirsten Tuggle , Takashi Tanaka

In this paper we present an information theoretic approach to stochastic optimal control problems for systems with compound Poisson noise. We generalize previous work on information theoretic path integral control to discontinuous dynamics…

Optimization and Control · Mathematics 2019-07-03 Ziyi Wang , Grady Williams , Evangelos A. Theodorou

We consider a change-point detection problem for a simple class of Piecewise Deterministic Markov Processes (PDMPs). A continuous-time PDMP is observed in discrete time and through noise, and the aim is to propose a numerical method to…

Optimization and Control · Mathematics 2017-09-28 Alice Cleynen , Benoîte de Saporta

A novel sequential change detection problem is proposed, in which the goal is to not only detect but also accelerate the change. Specifically, it is assumed that the sequentially collected observations are responses to treatments selected…

Statistics Theory · Mathematics 2024-06-24 Yanglei Song , Georgios Fellouris

The classical sparse parameter identification methods are usually based on the iterative basis selection such as greedy algorithms, or the numerical optimization of regularized cost functions such as LASSO and Bayesian posterior probability…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Yanxin Fu , Wenxiao Zhao

We introduce a novel metric for stochastic geometry based analysis of automotive radar networks called target {\it tracking probability}. Unlike the well-investigated detection probability (often termed as the success or coverage…

Information Theory · Computer Science 2025-11-07 Gourab Ghatak

This paper considers a sequential estimation and sensor scheduling problem with one sensor and one estimator. The sensor makes sequential observations about the state of an underlying memoryless stochastic process, and makes a decision as…

Systems and Control · Computer Science 2016-11-17 Xiaobin Gao , Emrah Akyol , Tamer Basar

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

Applications in machine learning, optimization, and control require the sequential selection of a few system elements, such as sensors, data, or actuators, to optimize the system performance across multiple time steps. However, in…

Machine Learning · Statistics 2020-12-17 Vasileios Tzoumas , Ali Jadbabaie , George J. Pappas

The matched filter (MF) is widely used to detect signals hidden within the noise. If the noise is Gaussian, its performances are well-known and describable in an elegant analytical form. The treatment of non-Gaussian noises is often…

Instrumentation and Methods for Astrophysics · Physics 2018-08-08 Roberto Vio , Paola Andreani

We study the sequential testing problem of two alternative hypotheses regarding an unknown parameter in an exponential family when observations are costly. In a Bayesian setting, the problem can be embedded in a Markovian framework. Using…

Statistics Theory · Mathematics 2022-06-22 Erik Ekström , Yuqiong Wang

This paper considers cooperative spectrum sensing algorithms for Cognitive Radios which focus on reducing the number of samples to make a reliable detection. We develop an energy efficient detector with low detection delay using…

Information Theory · Computer Science 2013-08-29 Jithin K. Sreedharan , Vinod Sharma

The problem of detecting a sinusoidal signal with randomly varying frequency has a long history. It is one of the core problems in signal processing, arising in many applications including, for example, underwater acoustic frequency line…

Signal Processing · Electrical Eng. & Systems 2022-11-16 Changrong Liu , S. Suvorova , R. J. Evans , B. Moran , A. Melatos

A group of cooperative aerial robots can be deployed to efficiently patrol a terrain, in which each robot flies around an assigned area and shares information with the neighbors periodically in order to protect or supervise it. To ensure…

In this paper, we address the problem of detecting anomalies among a given set of binary processes via learning-based controlled sensing. Each process is parameterized by a binary random variable indicating whether the process is anomalous.…

Machine Learning · Computer Science 2023-12-04 Geethu Joseph , Chen Zhong , M. Cenk Gursoy , Senem Velipasalar , Pramod K. Varshney

Decision making in modern stochastic systems, including e-commerce platforms, financial markets and healthcare systems, has evolved into a multifaceted process that combines information acquisition and adaptive information sources. This…

Optimization and Control · Mathematics 2026-01-07 Renyuan Xu , Thaleia Zariphopoulou , Luhao Zhang

In settings like vaccination registries, individuals act after observing others, and the resulting public records can expose private information. We study privacy-preserving sequential learning, where agents add endogenous noise to their…

Theoretical Economics · Economics 2025-10-03 Yuxin Liu , M. Amin Rahimian

We consider the problem of sequentially making decisions that are rewarded by "successes" and "failures" which can be predicted through an unknown relationship that depends on a partially controllable vector of attributes for each instance.…

Machine Learning · Statistics 2017-09-18 Yingfei Wang , Chu Wang , Warren Powell

A random search is a stochastic process representing the random motion of a particle (denoted as the searcher) that is terminated when it reaches (detects) a target particle or area the first time. In intermittent search the random motion…

Soft Condensed Matter · Physics 2016-11-23 Karsten Schwarz , Yannick Schröder , Heiko Rieger