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Let $P = \{p(i)\}$ be a measure of strictly positive probabilities on the set of nonnegative integers. Although the countable number of inputs prevents usage of the Huffman algorithm, there are nontrivial $P$ for which known methods find a…

Information Theory · Computer Science 2007-07-13 Michael B. Baer

We introduce an expurgation method for source coding with side information that enables direct dual-domain derivations of expurgated error exponents. Dual-domain methods yield optimization problems over few parameters, with any sub-optimal…

Information Theory · Computer Science 2026-02-25 Mehdi Dabirnia , Hamdi Joudeh , Albert Guillén i Fàbregas

An intuitive outer bound for the multiterminal source coding problem is given. The proposed bound explicitly couples the rate distortion functions for each source and correlation measures which derive from a "strong" data processing…

Information Theory · Computer Science 2013-07-17 Thomas A. Courtade

An analytical framework for performance analysis and optimization of coded V-BLAST is developed. Average power and/or rate allocations to minimize the outage probability as well as their robustness and dual problems are investigated.…

Information Theory · Computer Science 2016-11-17 Victoria Kostina , Sergey Loyka

The paper presents an improved upper bound (achievability result) on the optimal tradeoff between Normalized Delivery Time (NDT) and computation load for distributed computing MapReduce systems in certain ranges of the parameters. The upper…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Yue Bi , Michèle Wigger

In the last few years, there has been a great interest in extending the information-theoretic scenario for the non-asymptotic or one-shot case, i.e., where the channel is used only once. We provide the one-shot rate region for the…

Information Theory · Computer Science 2013-02-26 Naresh Sharma , Naqueeb Ahmad Warsi

In this work, we derive the random coding error exponent for the uplink phase of a two-way relay system where physical layer network coding (PNC) is employed. The error exponent is derived for the practical (yet sub-optimum) XOR channel…

Information Theory · Computer Science 2017-02-07 Shakeel Salamat Ullah , Gianluigi Liva , Soung Chang Liew

Stochastic convex optimization over an $\ell_1$-bounded domain is ubiquitous in machine learning applications such as LASSO but remains poorly understood when learning with differential privacy. We show that, up to logarithmic factors the…

Machine Learning · Computer Science 2021-03-03 Hilal Asi , Vitaly Feldman , Tomer Koren , Kunal Talwar

This work addresses the problem of deriving fundamental trade-off bounds for a 1-relay and a 2-relay wireless network when multiple performance criteria are of interest. It proposes a simple MultiObjective (MO) performance evaluation…

Networking and Internet Architecture · Computer Science 2012-11-15 Qi Wang , Katia Jaffrès-Runser , Claire Goursaud , Jean-Marie Gorce

Low latency and high data rate performance are essential in wireless communication systems. This paper explores trade-offs between latency and data rates for optical wireless communication. We introduce a latency-optimized model utilizing…

Quantum Physics · Physics 2024-11-18 Zuhra Amiri , Florian Seitz , Janis Nötzel

The design of block codes for short information blocks (e.g., a thousand or less information bits) is an open research problem that is gaining relevance thanks to emerging applications in wireless communication networks. In this paper, we…

Information Theory · Computer Science 2019-03-12 Mustafa Cemil Coşkun , Giuseppe Durisi , Thomas Jerkovits , Gianluigi Liva , William Ryan , Brian Stein , Fabian Steiner

In this work we study zero vs. epsilon-error capacity in network coding instances. For multicast network coding it is well known that all rates that can be delivered with arbitrarily small error probability can also be delivered with zero…

Information Theory · Computer Science 2015-03-19 Michael Langberg , Michelle Effros

We present nonasymptotic bounds on the maximum coding rate achievable over a Rician block-fading channel for a fixed packet size and a fixed packet error probability. Our bounds, which apply to the scenario where no a priori channel state…

Information Theory · Computer Science 2017-05-24 Johan Östman , Giuseppe Durisi , Erik G. Ström

We exhibit supercritical trade-off for monotone circuits, showing that there are functions computable by small circuits for which any circuit must have depth super-linear or even super-polynomial in the number of variables, far exceeding…

Computational Complexity · Computer Science 2024-11-22 Susanna F. de Rezende , Noah Fleming , Duri Andrea Janett , Jakob Nordström , Shuo Pang

We introduce the concept of an \ff-maximal error-detecting block code, for some parameter \ff{} between 0 and 1, in order to formalize the situation where a block code is close to maximal with respect to being error-detecting. Our…

Information Theory · Computer Science 2016-08-01 Stavros Konstantinidis , Nelma Moreira , Rogerio Reis

Maximum likelihood estimators are often of limited practical use due to the intensive computation they require. We propose a family of alternative estimators that maximize a stochastic variation of the composite likelihood function. Each of…

Machine Learning · Computer Science 2010-03-04 Joshua V Dillon , Guy Lebanon

We present new lower and upper bounds for the compression rate of binary prefix codes optimized over memoryless sources according to two related exponential codeword length objectives. The objectives explored here are exponential-average…

Information Theory · Computer Science 2011-05-03 Michael B. Baer

This paper studies multiuser random coding techniques for channel coding with a given (possibly suboptimal) decoding rule. For the mismatched discrete memoryless multiple-access channel, an error exponent is obtained that is tight with…

Information Theory · Computer Science 2016-11-18 Jonathan Scarlett , Alfonso Martinez , Albert Guillén i Fàbregas

The weight spectrum plays a crucial role in the performance of error-correcting codes. Despite substantial theoretical exploration of polar codes with mother code length, a framework for the weight spectrum of rate-compatible polar codes…

Information Theory · Computer Science 2025-10-14 Zicheng Ye , Yuan Li , Zhichao Liu , Huazi Zhang , Jun Wang , Guiying Yan , Zhiming Ma

In this paper we establish an improved outer bound on the storage-repair-bandwidth tradeoff of regenerating codes under exact repair. The result shows that in particular, it is not possible to construct exact-repair regenerating codes that…

Information Theory · Computer Science 2013-12-23 Birenjith Sasidharan , Kaushik Senthoor , P. Vijay Kumar