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In this paper, we examine the effects of correlated Gaussian noise on a two-dimensional neuronal network that is locally modeled by the Rulkov map. More precisely, we study the effects of the noise correlation on the variations of the mean…

Disordered Systems and Neural Networks · Physics 2010-09-23 Xiaojuan Sun , Matjaz Perc , Qishao Lu , Jürgen Kurths

We consider a network of two nodes separated by a noisy channel, in which the input and output signals have to be coordinated with the source and its reconstruction. In the case of strictly causal encoding and non-causal decoding, we prove…

Information Theory · Computer Science 2018-10-15 Giulia Cervia , Laura Luzzi , Maël Le Treust , Matthieu R. Bloch

Relay networks aid in increasing the rate of communication from source to destination. However, the capacity of even a three-terminal relay channel is an open problem. In this work, we propose a new lower bound for the capacity of the…

Information Theory · Computer Science 2016-11-17 Mayur Agrawal , David Love , Venkataramanan Balakrishnan

Noisy network coding is recently proposed for the general multi-source network by Lim, Kim, El Gamal and Chung. This scheme builds on compress-forward (CF) relaying but involves three new ideas, namely no Wyner-Ziv binning, relaxed…

Information Theory · Computer Science 2011-11-14 Peng Zhong , Ahmad Abu Al Haija , Mai Vu

Noisy labels are inevitable in large real-world datasets. In this work, we explore an area understudied by previous works -- how the network's architecture impacts its robustness to noisy labels. We provide a formal framework connecting the…

Machine Learning · Computer Science 2021-11-30 Jingling Li , Mozhi Zhang , Keyulu Xu , John P. Dickerson , Jimmy Ba

The basic problem of secure bidirectional relaying involves two users who want to exchange messages via an intermediate "honest-but-curious" relay node. There is no direct link between the users, all communication must take place via the…

Information Theory · Computer Science 2015-06-09 Shashank Vatedka , Navin Kashyap

Network coding has the potential to improve the overall throughput of a network by combining different streams of data and forwarding them. In wireless networks, the wireless channel provide an excellent medium for physical layer network…

Information Theory · Computer Science 2008-06-24 Su Kiang Kuek , Chau Yuen , Woon Hau Chin

This paper considers a general Gaussian relay network where a source transmits a message to a destination with the help of N half-duplex relays. It proves that the information theoretic cut-set upper bound to the capacity can be achieved to…

Information Theory · Computer Science 2016-11-15 Martina Cardone , Daniela Tuninetti , Raymond Knopp , Umer Salim

We consider a class of Gaussian layered networks where a source communicates with a destination through $L$ intermediate relay layers with $N$ nodes in each layer in the presence of a single eavesdropper which can overhear the transmissions…

Information Theory · Computer Science 2016-07-18 Tulika Agrawal , Samar Agnihotri

In this paper, a compress-and-forward scheme with backward decoding is presented for the unicast wireless relay network. The encoding at the source and relay is a generalization of the noisy network coding scheme (NNC). While it achieves…

Information Theory · Computer Science 2016-11-17 Adnan Raja , Pramod Viswanath

The presence of correlated noise, arising from a mixture of independent fluctuations and a common noisy input shared across the neural population, is a ubiquitous feature of neural circuits, yet its impact on collective network dynamics…

Neurons and Cognition · Quantitative Biology 2026-01-16 Hui Wang , Chunming Zheng

Lattice codes are known to achieve capacity in the Gaussian point-to-point channel, achieving the same rates as independent, identically distributed (i.i.d.) random Gaussian codebooks. Lattice codes are also known to outperform random codes…

Information Theory · Computer Science 2012-10-23 Yiwei Song , Natasha Devroye

A new communication scheme for Gaussian parallel relay networks based on superposition coding and partial decoding at the relays is presented. Some specific examples are proposed in which two codebook layers are superimposed. The first…

Information Theory · Computer Science 2016-11-18 Farzad Parvaresh , Raul Etkin

This paper addresses network code design for robust transmission of sources over an orthogonal two-hop wireless network with a broadcasting relay. The network consists of multiple sources and destinations in which each destination,…

Information Theory · Computer Science 2016-11-15 Roghayeh Joda , Farshad Lahouti

The problem of characterizing the optimal rate achievable with analog network coding (ANC) for a unicast communication over general wireless relay networks is computationally hard. A relay node performing ANC scales and forwards its input…

Information Theory · Computer Science 2014-11-03 Samar Agnihotri

We present a natural and low-complexity technique for achieving the capacity of the Gaussian relay network in the high SNR regime. Specifically, we propose the use of end-to-end structured lattice codes with the amplify-and-forward…

Information Theory · Computer Science 2013-09-17 Yun Xu , Edmund Yeh , Muriel Medard

We study a wireless broadcast network, where a single source reliably communicates independent messages to multiple destinations, with the aid of relays and cooperation between destinations. The wireless nature of the medium is captured by…

Information Theory · Computer Science 2010-11-15 Sreeram Kannan , Adnan Raja , Pramod Viswanath

Here, we consider the open issue of how the energy efficiency of neural information transmission process in a general neuronal array constrains the network size, and how well this network size ensures the neural information being…

Neurons and Cognition · Quantitative Biology 2015-07-31 Lianchun Yu , Chi Zhang , Liwei Liu , Yuguo Yu

The statistical analysis of the fading End to End channel gain of the amplify and forward relaying protocol, however, is well known as extremely complex, and research work to date have only studied the asymptotic behaviour of the outage…

Information Theory · Computer Science 2016-04-22 Quoc Tuan Nguyen , D. T. Nguyen , Cong Lam Sinh

We examine the issue of separation and code design for networks that operate over finite fields. We demonstrate that source-channel (or source-network) separation holds for several canonical network examples like the noisy multiple access…

Information Theory · Computer Science 2007-07-13 Siddharth Ray , Michelle Effros , Muriel Medard , Ralf Koetter , Tracey Ho , David Karger , Jinane Abounadi