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We prove a one-shot "minimax" converse bound for quantum channel coding assisted by positive partial transpose channels between sender and receiver. The bound is similar in spirit to the converse by Polyanskiy, Poor, and Verdu [IEEE Trans.…

Quantum Physics · Physics 2015-06-01 Joseph M. Renes

Non-conservative uncertainty bounds are key for both assessing an estimation algorithm's accuracy and in view of downstream tasks, such as its deployment in safety-critical contexts. In this paper, we derive a tight, non-asymptotic…

Machine Learning · Computer Science 2026-01-16 Amon Lahr , Johannes Köhler , Anna Scampicchio , Melanie N. Zeilinger

In this paper, we consider the group testing problem with adaptive test designs and noisy outcomes. We propose a computationally efficient four-stage procedure with components including random binning, identification of bins containing…

Computation · Statistics 2019-11-11 Jonathan Scarlett

We consider the discrete-time intersymbol interference (ISI) channel model, with additive Gaussian noise and fixed i.i.d. inputs. In this setting, we investigate the expression put forth by Shamai and Laroia as a conjectured lower bound for…

Information Theory · Computer Science 2014-01-08 Yair Carmon , Shlomo Shamai

This paper studies the capacity of single-source single-sink noiseless networks under adversarial or arbitrary errors on no more than z edges. Unlike prior papers, which assume equal capacities on all links, arbitrary link capacities are…

Information Theory · Computer Science 2010-11-18 Sukwon Kim , Tracey Ho , Michelle Effros , Amir Salman Avestimehr

This paper considers a binary channel with deletions and insertions, where each input bit is transformed in one of the following ways: it is deleted with probability d, or an extra bit is added after it with probability i, or it is…

Information Theory · Computer Science 2014-02-10 Ramji Venkataramanan , Sekhar Tatikonda , Kannan Ramchandran

Numerous studies have shown that label noise can lead to poor generalization performance, negatively affecting classification accuracy. Therefore, understanding the effectiveness of classifiers trained using deep neural networks in the…

Machine Learning · Computer Science 2026-03-10 Haixia Liu , Boxiao Li , Can Yang , Yang Wang

Departing from traditional communication theory where decoding algorithms are assumed to perform without error, a system where noise perturbs both computational devices and communication channels is considered here. This paper studies…

Information Theory · Computer Science 2010-05-31 Lav R. Varshney

We study noisy broadcast networks with local cache memories at the receivers, where the transmitter can pre-store information even before learning the receivers' requests. We mostly focus on packet-erasure broadcast networks with two…

Information Theory · Computer Science 2016-05-10 Shirin Saeedi Bidokhti , Michèle Wigger , Roy Timo

Interactive verification protocols for quantum computations allow to build trust between a client and a service provider, ensuring the former that the instructed computation was carried out faithfully. They come in two variants, one without…

Quantum Physics · Physics 2026-04-01 Amit Saha , Harold Ollivier

We propose an iterative method for approximately computing the capacity of discrete memoryless channels, possibly under additional constraints on the input distribution. Based on duality of convex programming, we derive explicit upper and…

Information Theory · Computer Science 2015-04-06 Tobias Sutter , David Sutter , Peyman Mohajerin Esfahani , John Lygeros

This work studies the capacity region of a two-user ergodic interference channel with fading, where only one of the users is subject to interference from the other user, and the channel state information (CSI) is only available at the…

Information Theory · Computer Science 2009-11-06 Yan Zhu , Dongning Guo

We study the nascent setting of online computation with imperfect advice, in which the online algorithm is enhanced by some prediction encoded in the form of a possibly erroneous binary string. The algorithm is oblivious to the advice…

Data Structures and Algorithms · Computer Science 2023-01-05 Spyros Angelopoulos , Shahin Kamali

This paper investigates decoding of binary linear block codes over the binary erasure channel (BEC). Of the current iterative decoding algorithms on this channel, we review the Recovery Algorithm and the Guess Algorithm. We then present a…

Information Theory · Computer Science 2007-07-13 J. Cai , C. Tjhai , M. Tomlinson , M. Ambroze , M. Ahmed

We consider transmission over a binary-input additive white Gaussian noise channel using low-density parity-check codes. One of the most popular techniques for decoding low-density parity-check codes is the linear programming decoder. In…

Information Theory · Computer Science 2015-03-19 Shrinivas Kudekar , Jason K. Johnson , Misha Chertkov

We consider the discrete memoryless symmetric primitive relay channel, where, a source $X$ wants to send information to a destination $Y$ with the help of a relay $Z$ and the relay can communicate to the destination via an error-free…

Information Theory · Computer Science 2016-03-31 Xiugang Wu , Ayfer Ozgur , Liang-Liang Xie

Channel simulation is an alternative to quantization and entropy coding for performing lossy source coding. Recently, channel simulation has gained significant traction in both the machine learning and information theory communities, as it…

Information Theory · Computer Science 2026-02-10 Gergely Flamich , Sharang M. Sriramu , Aaron B. Wagner

We study the best exponential decay in the blocklength of the probability of error that can be achieved in the transmission of a single bit over the Gaussian channel with an active noisy Gaussian feedback link. We impose an \emph{expected}…

Information Theory · Computer Science 2009-09-24 Young-Han Kim , Amos Lapidoth , Tsachy Weissman

We present two sequences of ensembles of non-systematic irregular repeat-accumulate codes which asymptotically (as their block length tends to infinity) achieve capacity on the binary erasure channel (BEC) with bounded complexity per…

Information Theory · Computer Science 2009-07-29 H. Pfister , I. Sason , R. Urbanke

We consider the problem of decentralized power allocation for competitive rate-maximization in a frequency-selective Gaussian interference channel under bounded channel uncertainty. We formulate a distribution-free robust framework for the…

Information Theory · Computer Science 2015-03-17 Amod J. G. Anandkumar , Animashree Anandkumar , Sangarapillai Lambotharan , Jonathon A. Chambers