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Given a sequence of random variables $X^n=X_1,\ldots, X_n$, discriminating between two hypotheses on the underlying probability distribution is a key task in statistics and information theory. Of interest here is the Stein exponent, i.e.…

Information Theory · Computer Science 2025-10-09 Ludovico Lami

A nonparametric anomalous hypothesis testing problem is investigated, in which there are totally n sequences with s anomalous sequences to be detected. Each typical sequence contains m independent and identically distributed (i.i.d.)…

Machine Learning · Computer Science 2016-12-15 Shaofeng Zou , Yingbin Liang , H. Vincent Poor , Xinghua Shi

In this paper we consider a network of processors aiming at cooperatively solving linear programming problems subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2019-08-27 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Roland Bouffanais

Distribution-preserving integrated sensing and communication with secure reconstruction is investigated in this paper. In addition to the distortion constraint, we impose another constraint on the distance between the reconstructed sequence…

Information Theory · Computer Science 2024-07-11 Yiqi Chen , Tobias Oechtering , Holger Boche , Mikael Skoglund , Yuan Luo

We propose a novel distributed inference algorithm for continuous graphical models, by extending Stein variational gradient descent (SVGD) to leverage the Markov dependency structure of the distribution of interest. Our approach combines…

Machine Learning · Statistics 2018-06-11 Dilin Wang , Zhe Zeng , Qiang Liu

This work considers the problem of mitigating information leakage between communication and sensing in systems jointly performing both operations. Specifically, a discrete memoryless state-dependent broadcast channel model is studied in…

Information Theory · Computer Science 2023-03-22 Onur Günlü , Matthieu R. Bloch , Rafael F. Schaefer , Aylin Yener

This paper considers a problem of distributed hypothesis testing and social learning. Individual nodes in a network receive noisy local (private) observations whose distribution is parameterized by a discrete parameter (hypotheses). The…

Statistics Theory · Mathematics 2016-05-17 Anusha Lalitha , Tara Javidi , Anand Sarwate

Distributed systems have become increasingly prevalent in the software industry. Due to their intrinsic complexity, much research has focused on the verification of their behaviour. An active research line is around behaviour models that…

Programming Languages · Computer Science 2026-04-09 Francisco Parrinha , João Mota , António Ravara

This paper studies the problem of sequential Gaussian shift-in-mean hypothesis testing in a distributed multi-agent network. A sequential probability ratio test (SPRT) type algorithm in a distributed framework of the…

Optimization and Control · Mathematics 2015-09-02 Anit Kumar Sahu , Soummya Kar

We study the maximum information gain that an adversary may obtain through hacking without being detected. Consider a dynamical process observed by a sensor that transmits a local estimate of the system state to a remote estimator according…

Systems and Control · Electrical Eng. & Systems 2020-11-10 Jingyi Lu , Daniel Quevedo , Vijay Gupta , Subhrakanti Dey

In typical high dimensional statistical inference problems, confidence intervals and hypothesis tests are performed for a low dimensional subset of model parameters under the assumption that the parameters of interest are unconstrained.…

Methodology · Statistics 2019-11-19 Ming Yu , Varun Gupta , Mladen Kolar

We consider the problem of quickly detecting a signal in a sensor network when the subset of sensors in which signal may be present is completely unknown. We formulate this problem as a sequential hypothesis testing problem with a simple…

Statistics Theory · Mathematics 2013-11-12 Georgios Fellouris , Alexander Tartakovsky

We present a test for the problem of decentralized sequential hypothesis testing, which is asymptotically optimum. By selecting a suitable sampling mechanism at each sensor, communication between sensors and fusion center is asynchronous…

Methodology · Statistics 2009-08-31 Georgios Fellouris , George V. Moustakides

We consider the problem of decentralized hypothesis testing in a network of energy harvesting sensors, where sensors make noisy observations of a phenomenon and send quantized information about the phenomenon towards a fusion center. The…

Information Theory · Computer Science 2017-08-02 Alla Tarighati , James Gross , Joakim Jalden

This paper studies the consensus problem of general linear discrete-time multi-agent systems (MAS) with input constraints and bounded time-varying communication delays. We propose a robust distributed model predictive control (DMPC)…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Henglai Wei , Changxin Liu , Yang Shi

We consider the problem of distributed Kalman filtering for sensor networks in the case there is a limit in data transmission and there is model uncertainty. More precisely, we propose a distributed filtering strategy with event-triggered…

Optimization and Control · Mathematics 2022-05-18 Davide Ghion , Mattia Zorzi

Covert wireless communication or low probability of detection (LPD) communication that employs the noise or jamming signals as the cover to hide user's information can prevent a warden Willie from discovering user's transmission attempts.…

Cryptography and Security · Computer Science 2019-01-11 Zhihong Liu , Jiajia Liu , Yong Zeng , Zhuo Ma , Jianfeng Ma , Qiping Huang

The study of the fundamental limits of covert communications, where a transmitter Alice wants to send information to a desired recipient Bob without detection of that transmission by an attentive and capable warden Willie, has emerged…

Signal Processing · Electrical Eng. & Systems 2019-01-16 Moslem Forouzesh , Paeiz Azmi , Nader Mokari , Dennis Goeckel

State estimation for a class of linear time-invariant systems with distributed output measurements (distributed sensors) and unknown inputs is addressed in this paper. The objective is to design a network of observers such that the state…

Systems and Control · Electrical Eng. & Systems 2021-10-12 Guitao Yang , Angelo Barboni , Hamed Rezaee , Thomas Parisini

We study distribution testing with communication and memory constraints in the following computational models: (1) The {\em one-pass streaming model} where the goal is to minimize the sample complexity of the protocol subject to a memory…

Machine Learning · Computer Science 2019-06-12 Ilias Diakonikolas , Themis Gouleakis , Daniel M. Kane , Sankeerth Rao