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Let $W$ be a binary-input memoryless symmetric (BMS) channel with Shannon capacity $I(W)$ and fix any $\alpha > 0$. We construct, for any sufficiently small $\delta > 0$, binary linear codes of block length $O(1/\delta^{2+\alpha})$ and rate…

Information Theory · Computer Science 2022-01-25 Venkatesan Guruswami , Andrii Riazanov , Min Ye

Highly connected recurrent neural networks often produce chaotic dynamics, meaning their precise activity is sensitive to small perturbations. What are the consequences for how such networks encode streams of temporal stimuli? On the one…

Neurons and Cognition · Quantitative Biology 2016-12-16 Guillaume Lajoie , Kevin K Lin , Jean-Philippe Thivierge , Eric Shea-Brown

We consider the fundamental protocol of dense coding of classical information assuming that noise affects both the forward and backward communication lines between Alice and Bob. Assuming that this noise is described by the same quantum…

Quantum Physics · Physics 2020-04-13 Riccardo Laurenza , Cosmo Lupo , Seth Lloyd , Stefano Pirandola

Product codes are widespread in optical communications, thanks to their high throughput and good error-correction performance. Systematic polar codes have been recently considered as component codes for product codes. In this paper, we…

Information Theory · Computer Science 2019-01-23 Valerio Bioglio , Carlo Condo , Ingmar Land

We consider communication over a noisy network under randomized linear network coding. Possible error mechanism include node- or link- failures, Byzantine behavior of nodes, or an over-estimate of the network min-cut. Building on the work…

Information Theory · Computer Science 2007-11-27 Andrea Montanari , Ruediger Urbanke

We consider network coding for a noiseless broadcast channel where each receiver demands a subset of messages available at the transmitter and is equipped with noisy side information in the form an erroneous version of the message symbols…

Information Theory · Computer Science 2018-01-10 Suman Ghosh , Lakshmi Natarajan

Biological neural networks face a formidable task: performing reliable computations in the face of intrinsic stochasticity in individual neurons, imprecisely specified synaptic connectivity, and nonnegligible delays in synaptic…

Neurons and Cognition · Quantitative Biology 2020-06-26 Jonathan Kadmon , Jonathan Timcheck , Surya Ganguli

A broadcast channel (BC) where the decoders cooperate via a one-sided link is considered. One common and two private messages are transmitted and the private message to the cooperative user should be kept secret from the cooperation-aided…

Information Theory · Computer Science 2019-05-29 Ziv Goldfeld , Gerhard Kramer , Haim H. Permuter , Paul Cuff

This paper investigates the fundamental performance limits of the two-user interference channel in the presence of an external eavesdropper. In this setting, we construct an inner bound, to the secrecy capacity region, based on the idea of…

Information Theory · Computer Science 2015-03-13 O. Ozan Koyluoglu , Hesham El Gamal

In this article we focus on the problem of channel decoding in presence of a-priori information. In particular, assuming that the a-priori information reliability is not perfectly estimated at the receiver, we derive a novel analytical…

Information Theory · Computer Science 2007-11-14 Andrea Abrardo

A noisy network coding scheme for sending multiple sources over a general noisy network is presented. For multi-source multicast networks, the scheme naturally extends both network coding over noiseless networks by Ahlswede, Cai, Li, and…

Information Theory · Computer Science 2015-03-13 Sung Hoon Lim , Young-Han Kim , Abbas El Gamal , Sae-Young Chung

In this paper, we first consider a channel that is contaminated by two independent Gaussian noises $S ~ N(0,Q)$ and $Z_0 ~ N(0,N_0)$. The capacity of this channel is computed when independent noisy versions of $S$ are known to the…

Information Theory · Computer Science 2009-01-21 Yong Peng , Dinesh Rajan

We consider wiretap channels with uncertainty on the eavesdropper channel under (i) noisy blockwise type II, (ii) compound, or (iii) arbitrarily varying models. We present explicit wiretap codes that can handle these models in a unified…

Information Theory · Computer Science 2022-11-03 Remi A. Chou

We consider the communication problem over binary causal adversarial erasure channels. Such a channel maps $n$ input bits to $n$ output symbols in $\{0,1,\wedge\}$, where $\wedge$ denotes erasure. The channel is causal if, for every $i$,…

Information Theory · Computer Science 2014-09-16 Raef Bassily , Adam Smith

This paper considers the cognitive interference channel (CIC) with two transmitters and two receivers, in which the cognitive transmitter non-causally knows the message and codeword of the primary transmitter. We first introduce a discrete…

Information Theory · Computer Science 2011-02-08 Mojtaba Vaezi , Mai Vu

This paper presents an analysis of the concept of capacity for noisy com- putations, i.e. functions implemented by unreliable or random devices. An information theoretic model of noisy computation of a perfect function f (measurable…

Information Theory · Computer Science 2016-03-23 Francois Simon

We construct an explicit quantum coding scheme which achieves a communication rate not less than the coherent information when used to transmit quantum information over a noisy quantum channel. For Pauli and erasure channels we also present…

Quantum Physics · Physics 2015-12-10 Joseph M. Renes , David Sutter , Frédéric Dupuis , Renato Renner

The interference channel with a cognitive relay consists of a classical interference channel with two sourcedestination pairs and with an additional cognitive relay that has a priori knowledge of the sources' messages and aids in the…

Information Theory · Computer Science 2015-03-19 Stefano Riniy , Daniela Tuninetti , Natasha Devroye , Andrea Goldsmith

This paper studies the two-user interference channel with unilateral source cooperation, which consists of two source-destination pairs that share the same channel and where one full-duplex source can overhear the other source through a…

Information Theory · Computer Science 2016-11-17 Martina Cardone , Daniela Tuninetti , Raymond Knopp , Umer Salim

An interference channel is said to have strong interference if for all input distributions, the receivers can fully decode the interference. This definition of strong interference applies to discrete memoryless, scalar and vector Gaussian…

Information Theory · Computer Science 2016-11-17 Xiaohu Shang , H. Vincent Poor
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