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We present a learning model predictive control (MPC) scheme for chance-constrained Markov jump systems with unknown switching probabilities. Using samples of the underlying Markov chain, ambiguity sets of transition probabilities are…

最优化与控制 · 数学 2023-01-06 Mathijs Schuurmans , Panagiotis Patrinos

We study a class of $K$-encoder hypothesis testing against conditional independence problems. Under the criterion that stipulates minimization of the Type II error subject to a (constant) upper bound $\epsilon$ on the Type I error, we…

信息论 · 计算机科学 2022-07-05 Abdellatif Zaidi

This paper studies consensus of discrete-time multi-agent systems under time-varying directed communication, state and input constraints using a distributed multi-step model predictive control (MPC) framework. Consensus is recast as…

最优化与控制 · 数学 2026-02-18 Navid Noroozi

We consider the problem of distributed binary hypothesis testing of two sequences that are generated by an i.i.d. doubly-binary symmetric source. Each sequence is observed by a different terminal. The two hypotheses correspond to different…

信息论 · 计算机科学 2018-01-03 Eli Haim , Yuval Kochman

Consider the problem where a statistician in a two-node system receives rate-limited information from a transmitter about marginal observations of a memoryless process generated from two possible distributions. Using its own observations,…

信息论 · 计算机科学 2017-03-02 Gil Katz , Pablo Piantanida , Mérouane Debbah

In this paper, we study a distributed learning problem constrained by constant communication bits. Specifically, we consider the distributed hypothesis testing (DHT) problem where two distributed nodes are constrained to transmit a constant…

信息论 · 计算机科学 2022-01-25 Xiangxiang Xu , Shao-Lun Huang

Consider a distributed detection problem in which the underlying distributions of the observations are unknown; instead of these distributions, noisy versions of empirically observed statistics are available to the fusion center. These…

信息论 · 计算机科学 2020-02-13 Haiyun He , Lin Zhou , Vincent Y. F. Tan

The achievable error-exponent pairs for the type I and type II errors are characterized in a hypothesis testing setup where the observation consists of independent and identically distributed samples from either a known joint probability…

信息论 · 计算机科学 2018-09-19 Amos Lapidoth , Christoph Pfister

We study a distributed hypothesis testing setup where peripheral nodes send quantized data to the fusion center in a memoryless fashion. The \emph{expected} number of bits sent by each node under the null hypothesis is kept limited. We…

信息论 · 计算机科学 2022-06-27 Yunus Inan , Mert Kayaalp , Ali H. Sayed , Emre Telatar

We revisit $M$-ary classification of Gutman (TIT 1989), where one is tasked to determine whether a testing sequence is generated with the same distribution as one of the $M$ training sequences or not. Our main result is a two-phase test,…

信息论 · 计算机科学 2023-05-29 Lin Zhou , Jun Diao , Lin Bai

This paper investigates Distributed Hypothesis testing (DHT), in which a source $\mathbf{X}$ is encoded given that side information $\mathbf{Y}$ is available at the decoder only. Based on the received coded data, the receiver aims to decide…

信息论 · 计算机科学 2023-05-12 Ismaila Salihou Adamou , Elsa Dupraz , Tad Matsumoto

In this paper we consider the identification (ID) via multiple access channels (MACs). In the general MAC the ID capacity region includes the ordinary transmission (TR) capacity region. In this paper we discuss the converse coding theorem.…

信息论 · 计算机科学 2013-02-12 Yasutada Oohama

The paper presents exponentially-strong converses for source-coding, channel coding, and hypothesis testing problems. More specifically, it presents alternative proofs for the well-known exponentially-strong converse bounds for almost…

信息论 · 计算机科学 2023-01-18 Mustapha Hamad , Michele Wigger , Mireille Sarkiss

We study the error exponents in quantum hypothesis testing between two sets of quantum states, extending the analysis beyond the independent and identically distributed case to encompass composite correlated hypotheses. In particular, we…

量子物理 · 物理学 2025-11-11 Kun Fang , Masahito Hayashi

We elaborate on the idea that loop corrections to belief propagation could be dealt with in a systematic way on pairwise Markov random fields, by using the elements of a cycle basis to define region in a generalized belief propagation…

无序系统与神经网络 · 物理学 2016-07-20 Cyril Furtlehner , Aurélien Decelle

Markov decision process (MDP) is a decision making framework where a decision maker is interested in maximizing the expected discounted value of a stream of rewards received at future stages at various states which are visited according to…

最优化与控制 · 数学 2022-12-19 Hoang Nam Nguyen , Abdel Lisser , Vikas Vikram Singh

We study the problem of mismatched binary hypothesis testing between i.i.d. distributions. We analyze the tradeoff between the pairwise error probability exponents when the actual distributions generating the observation are different from…

信息论 · 计算机科学 2022-04-28 Parham Boroumand , Albert Guillén i Fàbregas

The double hypothesis test (DHT) is a test that allows controlling Type I (producer) and Type II (consumer) errors. It is possible to say whether the batch has a defect rate, p, between 1.5 and 2%, or between 2 and 5%, or between 5 and 10%,…

We study error exponents for the problem of relaying a message over a tandem of two channels sharing the same transition law, in particular moving beyond the 1-bit setting studied in recent related works. Our main results show that the…

信息论 · 计算机科学 2023-02-28 Yan Hao Ling , Jonathan Scarlett

We study the problem of multiple hypothesis testing (HT) in view of a rejection option. That model of HT has many different applications. Errors in testing of M hypotheses regarding the source distribution with an option of rejecting all…

信息论 · 计算机科学 2016-11-17 Naira Grigoryan , Ashot Harutyunyan , Svyatoslav Voloshynovskiy , Oleksiy Koval