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We examine a constrained Markov decision process under uncertain transition probabilities, with the uncertainty modeled as deviations from observed transition probabilities. We construct the uncertainty set associated with the deviations…

最优化与控制 · 数学 2025-04-15 V Varagapriya

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…

信息论 · 计算机科学 2013-09-05 Sirin Nitinawarat , George Atia , Venugopal V. Veeravalli

This paper introduces a new converse machinery for a challenging class of distributed source-type problems (e.g.\ distributed source coding, common randomness generation, or hypothesis testing with communication constraints), through the…

信息论 · 计算机科学 2018-09-14 Jingbo Liu

In this paper we revisit the binary hypothesis testing problem with one-sided compression. Specifically we assume that the distribution in the null hypothesis is a mixture distribution of iid components. The distribution under the…

信息论 · 计算机科学 2022-07-07 Minh Thanh Vu

This article explores the estimation of unknown parameters and reliability characteristics under the assumption that the lifetimes of the testing units follow an Inverted Exponentiated Pareto (IEP) distribution. Here, both point and…

统计理论 · 数学 2025-01-22 Rajendranath Mondal , Aditi Kar Gangopadhyay , Raju Bhakta , Kousik Maiti

This work studies the learning ability of consensus and diffusion distributed learners from continuous streams of data arising from different but related statistical distributions. Four distinctive features for diffusion learners are…

最优化与控制 · 数学 2016-07-19 Zaid J. Towfic , Jianshu Chen , Ali H. Sayed

One of the most widely used samplers in practice is the component-wise Metropolis-Hastings (CMH) sampler that updates in turn the components of a vector valued Markov chain using accept-reject moves generated from a proposal distribution.…

统计计算 · 统计学 2017-03-22 Jinyoung Yang , Evgeny Levi , Radu V. Craiu , Jeffrey S. Rosenthal

As predictive algorithms grow in popularity, using the same dataset to both train and test a new model has become routine across research, policy, and industry. Sample-splitting attains valid inference on model properties by using separate…

计量经济学 · 经济学 2025-11-27 Bruno Fava

In the binary hypothesis testing problem, it is well known that sequentiality in taking samples eradicates the trade-off between two error exponents, yet implementing the optimal test requires the knowledge of the underlying distributions,…

信息论 · 计算机科学 2025-01-07 Ching-Fang Li , I-Hsiang Wang

The formal verification of large probabilistic models is important and challenging. Exploiting the concurrency that is often present is one way to address this problem. Here we study a restricted class of asynchronous distributed…

分布式、并行与集群计算 · 计算机科学 2014-08-06 Sumit Kumar Jha , Madhavan Mukund , Ratul Saha , P S Thiagarajan

In this paper, we show the convergence rates of posterior distributions of the model dynamics in a MDP for both episodic and continuous tasks. The theoretical results hold for general state and action space and the parameter space of the…

统计理论 · 数学 2019-07-23 Zhen Li , Eric Laber

We develop a neural-network framework for multi-period risk--reward stochastic control problems with constrained two-step feedback policies that may be discontinuous in the state. We allow a broad class of objectives built on a…

计算金融 · 定量金融 2026-03-09 Chang Chen , Duy-Minh Dang

This work analyzes the asymptotic performances of fully distributed sequential hypothesis testing procedures as the type-I and type-II error rates approach zero, in the context of a sensor network without a fusion center. In particular, the…

应用统计 · 统计学 2018-04-17 Shang Li , Xiaodong Wang

We study asymptotic performance of distributed detection in large scale connected sensor networks. Contrasting to the canonical parallel network where a single node has access to local decisions from all other nodes, each node can only…

信息论 · 计算机科学 2018-10-16 Shengyu Zhu , Biao Chen

The paper studies an improved estimate for the rate of convergence for nonlinear homogeneous discrete-time Markov chains. These processes are nonlinear in terms of the distribution law. Hence, the transition kernels are dependent on the…

概率论 · 数学 2021-05-21 Aleksandr Shchegolev

Consider the problem of distributed binary hypothesis testing with two terminals, where the decision is made at one of them (the "receiver"). We study the exponent of the error probability of the second type. Previously, an achievable…

信息论 · 计算机科学 2025-08-26 Yuval Kochman , Ligong Wang

We consider Bayesian multiple hypothesis problem with independent and identically distributed observations. The classical, Sanov's theorem-based, analysis of the error probability allows one to characterize the best achievable error…

信息论 · 计算机科学 2021-11-01 Hüseyin Afşer

This paper considers a risk-constrained infinite-horizon optimal control problem and proposes to solve it in an iterative manner. Each iteration of the algorithm generates a trajectory from the starting point to the target equilibrium state…

最优化与控制 · 数学 2021-11-29 Alireza Zolanvari , Ashish Cherukuri

This paper considers the permissive supervisor synthesis for probabilistic systems modeled as Markov Decision Processes (MDP). Such systems are prevalent in power grids, transportation networks, communication networks and robotics. Unlike…

计算机科学中的逻辑 · 计算机科学 2017-03-23 Bo Wu , Xiaobin Zhang , Hai Lin

A distributed implementation of a Robust Integral of the Sign of the Error (RISE) controller is developed for multi-agent target tracking problems with exponential convergence guarantees. Previous RISE-based approaches for multi-agent…

系统与控制 · 电气工程与系统科学 2025-06-02 Cristian F. Nino , Omkar Sudhir Patil , Sage C. Edwards , Warren E. Dixon