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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

This paper deals with the global stability of time-delayed dynamical networks. We show that for a time-delayed dynamical network with non-distributed delays the network and the corresponding non-delayed network are both either globally…

Dynamical Systems · Mathematics 2015-06-05 Lenonid Bunimovich , Benjamin Webb

With the increasing complexity of computing systems, complete hardware reliability can no longer be guaranteed. We need, however, to ensure overall system reliability. One of the most important features of artificial neural networks is…

Neural and Evolutionary Computing · Computer Science 2015-10-07 Anton Kulakov , Mark Zwolinski , Jeff Reeve

We consider a line of terminals which is connected by packet erasure channels and where random linear network coding is carried out at each node prior to transmission. In particular, we address an online approach in which each terminal has…

Information Theory · Computer Science 2016-11-15 Daniel E. Lucani , Joerg Kliewer

Khanna and Sudan \cite{KS11} studied a natural model of continuous time channels where signals are corrupted by the effects of both noise and delay, and showed that, surprisingly, in some cases both are not enough to prevent such channels…

Information Theory · Computer Science 2012-05-15 Ioana Ivan , Michael Mitzenmacher , Justin Thaler , Henry Yuen

We present generalized delayed neural network (DNN) model with positive delay feedback and neuron history. The local stability analysis around trivial local equilibria of delayed neural networks has applied and determine the conditions for…

Neurons and Cognition · Quantitative Biology 2015-07-17 Sanjeet Maisnam , R. K. Brojen Singh

In this paper, we consider the outer channel for DNA-based data storage. When transmitting over the outer channel, each DNA string is treated as a unit/symbol that would be either correctly received, or erased, or corrupted by uniformly…

Information Theory · Computer Science 2025-09-23 Xuan He , Yi Ding , Kui Cai , Guanghui Song , Bin Dai , Xiaohu Tang

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 establish the degrees of freedom of the two-user X-channel with delayed channel knowledge at transmitters (i.e., delayed CSIT), assuming linear coding strategies at the transmitters. We derive a new upper bound and characterize the…

Information Theory · Computer Science 2014-02-04 Sina Lashgari , A. Salman Avestimehr , Changho Suh

In this paper, we analyze the coding delay and the average coding delay of random linear network codes (a.k.a. dense codes) and chunked codes (CC), which are an attractive alternative to dense codes due to their lower complexity, over line…

Information Theory · Computer Science 2012-07-26 Anoosheh Heidarzadeh , Amir H. Banihashemi

We consider the problem of secure communication over a network in the presence of wiretappers. We give a new cut-set bound on secrecy capacity which takes into account the contribution of both forward and backward edges crossing the cut,…

Information Theory · Computer Science 2014-01-29 Wentao Huang , Tracey Ho , Michael Langberg , Joerg Kliewer

What are the key properties that a network should have to provide bounded-delay guarantees for the packets? In this paper, we attempt to answer this question. To that end, we explore the theory of bounded-delay networks and provide the…

Networking and Internet Architecture · Computer Science 2020-08-17 Soheil Abbasloo , H. Jonathan Chao

One of the biggest issues in deep learning theory is the generalization ability of networks with huge model size. The classical learning theory suggests that overparameterized models cause overfitting. However, practically used large deep…

Machine Learning · Computer Science 2020-06-23 Taiji Suzuki , Hiroshi Abe , Tomoaki Nishimura

We study random linear network coding for broadcasting in time division duplexing channels. We assume a packet erasure channel with nodes that cannot transmit and receive information simultaneously. The sender transmits coded data packets…

Information Theory · Computer Science 2009-03-26 Daniel E. Lucani , Muriel Médard , Milica Stojanovic

A class of channels is introduced for which there is memory inside blocks of a specified length and no memory across the blocks. The multi-user model is called an information network with in-block memory (NiBM). It is shown that…

Information Theory · Computer Science 2016-11-17 Gerhard Kramer

We consider the following distributed service model: jobs with unit mean, exponentially distributed, and independent processing times arrive as a Poisson process of rate $\lambda n$, with $0<\lambda<1$, and are immediately dispatched by a…

Probability · Mathematics 2017-09-14 David Gamarnik , John N. Tsitsiklis , Martin Zubeldia

To accommodate Machine-type Communication (MTC) service, the wireless network needs to support low-delay and low-jitter data transmission, realizing delay deterministic wireless network. This paper analyzes the delay and jitter of the…

Performance · Computer Science 2023-10-12 Zhiqing Wei , Ling Zhang , Gaofeng Nie , Huici Wu , Ning Zhang , Zeyang Meng , Zhiyong Feng

An emerging trend of next generation communication systems is to provide network edges with additional capabilities such as additional storage resources in the form of caches to reduce file delivery latency. To investigate this aspect, we…

Information Theory · Computer Science 2017-11-08 Jaber Kakar , Alaa Alameer , Anas Chaaban , Aydin Sezgin , Arogyaswami Paulraj

We study the impact of delayed channel state information at the transmitters (CSIT) in two-unicast wireless networks with a layered topology and arbitrary connectivity. We introduce a technique to obtain outer bounds to the…

Information Theory · Computer Science 2015-10-06 Alireza Vahid , Ilan Shomorony , Robert Calderbank

We describe a novel extension of subspace codes for noncoherent networks, suitable for use when the network is viewed as a communication system that introduces both dimension and symbol errors. We show that when symbol erasures occur in a…

Information Theory · Computer Science 2012-09-25 Vitaly Skachek , Olgica Milenkovic , Angelia Nedic