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We study selective monitors for labelled Markov chains. Monitors observe the outputs that are generated by a Markov chain during its run, with the goal of identifying runs as correct or faulty. A monitor is selective if it skips…

形式语言与自动机理论 · 计算机科学 2018-07-03 Radu Grigore , Stefan Kiefer

Using a mild variant of polar codes we design linear compression schemes compressing Hidden Markov sources (where the source is a Markov chain, but whose state is not necessarily observable from its output), and to decode from Hidden Markov…

信息论 · 计算机科学 2018-10-05 Venkatesan Guruswami , Preetum Nakkiran , Madhu Sudan

The problem of computing a linear combination of sources over a multiple access channel is studied. Inner and outer bounds on the optimal tradeoff between the communication rates are established when encoding is restricted to random…

信息论 · 计算机科学 2018-10-30 Pinar Sen , Sung Hoon Lim , Young-Han Kim

This paper introduces an objective function that seeks to minimise the average total number of bits required to encode the joint state of all of the layers of a Markov source. This type of encoder may be applied to the problem of optimising…

神经与进化计算 · 计算机科学 2007-05-23 Stephen Luttrell

The process of dynamic state estimation (filtering) based on point process observations is in general intractable. Numerical sampling techniques are often practically useful, but lead to limited conceptual insight about optimal…

机器学习 · 统计学 2015-08-04 Yuval Harel , Ron Meir , Manfred Opper

We present an alternative view for the study of optimal control of partially observed Markov Decision Processes (POMDPs). We first revisit the traditional (and by now standard) separated-design method of reducing the problem to fully…

最优化与控制 · 数学 2024-12-20 Serdar Yüksel

This paper characterizes the second-order coding rates for lossy source coding with side information available at both the encoder and the decoder. We first provide non-asymptotic bounds for this problem and then specialize the…

信息论 · 计算机科学 2014-10-13 Sy-Quoc Le , Vincent Y. F. Tan , Mehul Motani

We consider zero-delay single-user and multi-user source coding with average distortion constraint and decoder side information. The zero-delay constraint translates into causal (sequential) encoder and decoder pairs as well as the use of…

信息论 · 计算机科学 2013-01-03 Yonatan Kaspi , Neri Merhav

The notion of a successful coupling of Markov processes, based on the idea that both components of the coupled system ``intersect'' in finite time with probability one, is extended to cover situations when the coupling is unnecessarily…

概率论 · 数学 2007-05-23 Michael Blank , Sergey Pirogov

In this monograph, we review recent advances in second-order asymptotics for lossy source coding, which provides approximations to the finite blocklength performance of optimal codes. The monograph is divided into three parts. In part I, we…

信息论 · 计算机科学 2024-10-25 Lin Zhou , Mehul Motani

Computational level explanations based on optimal feedback control with signal-dependent noise have been able to account for a vast array of phenomena in human sensorimotor behavior. However, commonly a cost function needs to be assumed for…

机器学习 · 计算机科学 2021-10-22 Matthias Schultheis , Dominik Straub , Constantin A. Rothkopf

Motivated by the Internet-of-things and sensor networks for cyberphysical systems, the problem of dynamic sensor activation for the tracking of a time-varying process is examined. The tradeoff is between energy efficiency, which decreases…

系统与控制 · 计算机科学 2017-11-30 Arpan Chattopadhyay , Urbashi Mitra

We investigate the optimal performance of dense sensor networks by studying the joint source-channel coding problem. The overall goal of the sensor network is to take measurements from an underlying random process, code and transmit those…

信息论 · 计算机科学 2007-07-13 Nan Liu , Sennur Ulukus

We study the zero-error source coding problem in which an encoder with Side Information (SI) $g(Y)$ transmits source symbols $X$ to a decoder. The decoder has SI $Y$ and wants to recover $f(X,Y)$ where $f,g$ are deterministic. We exhibit a…

信息论 · 计算机科学 2022-12-19 Nicolas Charpenay , Maël le Treust , Aline Roumy

We study the problem of deinterleaving a set of finite-memory (Markov) processes over disjoint finite alphabets, which have been randomly interleaved by a finite-memory switch. The deinterleaver has access to a sample of the resulting…

信息论 · 计算机科学 2011-08-29 Gadiel Seroussi , Wojciech Szpankowski , Marcelo J. Weinberger

Transmission of a Gaussian source over a time-varying Gaussian channel is studied in the presence of time-varying correlated side information at the receiver. A block fading model is considered for both the channel and the side information,…

信息论 · 计算机科学 2015-05-27 Iñaki Estella Aguerri , Deniz Gündüz

This paper establishes the rate region for a class of source coding function computation setups where sources of information are available at the nodes of a tree and where a function of these sources must be computed at the root. The rate…

信息论 · 计算机科学 2015-04-08 Milad Sefidgaran , Aslan Tchamkerten

We study the classical problem of recovering a multidimensional source signal from observations of nonlinear mixtures of this signal. We show that this recovery is possible (up to a permutation and monotone scaling of the source's original…

机器学习 · 统计学 2023-01-18 Alexander Schell , Harald Oberhauser

This paper proposes a practical successive decoding scheme with finite levels for the finite-state Markov channels where there is no a priori state information at the transmitter or the receiver. The design employs either a random…

信息论 · 计算机科学 2009-05-06 Teng Li , Oliver M. Collins

We derive novel upper and lower finite-length bounds of the error probability in joint source-channel coding when the source obeys an ergodic Markov process and the channel is a Markovian additive channel or a Markovian conditional additive…

信息论 · 计算机科学 2017-05-03 Ryo Yaguchi , Masahito Hayashi