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We consider continuous time Hopfield-like recurrent networks as dynamical models for gene regulation and neural networks. We are interested in networks that contain n high-degree nodes preferably connected to a large number of Ns weakly…

Molecular Networks · Quantitative Biology 2016-08-03 Sergei Vakulenko , Ivan Morozov , Ovidiu Radulescu

Spatial telecommunication systems have evolved along the years, leading to some concerns that telecommunication companies are facing today. The main inquietude is the ability to provide quality service to customers or users in a dense…

Probability · Mathematics 2022-10-25 A. K. Boahen , T. Katsekpor , K. Doku-Amponsah

For the class of noisy time-delay linear consensus networks, we obtain explicit formulas for risk of large fluctuations of a scalar observable as a function of Laplacian spectrum and its eigenvectors. It is shown that there is an intrinsic…

Systems and Control · Computer Science 2018-09-25 Christoforos Somarakis , Yaser Ghaedsharaf , Nader Motee

This paper studies an infinite-server queue in a random environment, meaning that the arrival rate, the service requirements and the server work rate are modulated by a general c\`{a}dl\`{a}g stochastic background process. To prove a large…

Probability · Mathematics 2015-02-04 H. M. Jansen , M. R. H. Mandjes , K. De Turck , S. Wittevrongel

The capacity of a class of deterministic relay channels with the transmitter input X, the receiver output Y, the relay output Y_1 = f(X, Y), and a separate communication link from the relay to the receiver with capacity R_0, is shown to be…

Information Theory · Computer Science 2016-11-18 Thomas M. Cover , Young-Han Kim

The scaling laws of the achievable communication rates and the corresponding upper bounds of distributed reception in the presence of an interfering signal are investigated. The scheme includes one transmitter communicating to a remote…

Information Theory · Computer Science 2009-12-08 Amichai Sanderovich , Michael Peleg , Shlomo Shamai

We present the optimal relay-subset selection and transmission-time for a decode-and-forward, half-duplex cooperative network of arbitrary size. The resource allocation is obtained by maximizing over the rates obtained for each possible…

Information Theory · Computer Science 2008-12-22 Elzbieta Beres , Raviraj Adve

The capacity of cells and organisms to respond to challenging conditions in a repeatable manner is limited by a finite repertoire of pre-evolved adaptive responses. Beyond this capacity, cells can use exploratory dynamics to cope with a…

Molecular Networks · Quantitative Biology 2017-07-05 Hallel I. Schreier , Yoav Soen , Naama Brenner

Massive multi-input multi-output (Massive MIMO) has been recognized as a key technology to meet the demand for higher data capacity and massive connectivity. Nevertheless, the number of active users is restricted due to training overhead…

Information Theory · Computer Science 2018-03-19 Salah Eddine Hajri , Maialen Larrañaga , Mohamad Assaad

This work studies queues in a Euclidean space. Consider $N$ servers that are distributed uniformly in $[0,1]^d$. Customers arrive at the servers according to independent stationary processes. Upon arrival, they probabilistically decide…

Probability · Mathematics 2024-09-05 B. R. Vinay Kumar , Lasse Leskelä

We consider stochastic motion planning in single-source single-destination robotic relay networks, under a cooperative beamforming framework. Assuming that the communication medium constitutes a spatiotemporal stochastic field, we propose a…

Systems and Control · Computer Science 2016-03-22 Dionysios S. Kalogerias , Athina P. Petropulu

We consider multiclass feedforward queueing networks with first in first out and priority service disciplines at the nodes, and class dependent deterministic routing between nodes. The random behavior of the network is constructed from…

Probability · Mathematics 2007-05-23 Kurt Majewski

In this paper, we investigate optimal coding strategies for a class of linear deterministic relay networks. The network under study is a relay network, with one source, one destination, and two relay nodes. Additionally, there is a…

Information Theory · Computer Science 2010-01-14 S. M. Hossein Tabatabaei Yazdi , Mohammad Reza Aref

Consider the broadcast relay channel (BRC) which consists of a source sending information over a two user broadcast channel in presence of two relay nodes that help the transmission to the destinations. Clearly, this network with five nodes…

Information Theory · Computer Science 2010-05-05 Arash Behboodi , Pablo Piantanida

In this paper, we present a detailed framework to analyze the evolution of the random topology of a time-varying wireless network via the information theoretic notion of entropy rate. We consider a propagation channel varying over time with…

Information Theory · Computer Science 2018-11-08 Arta Cika , Mihai-Alin Badiu , Justin P. Coon , Shahriar Etemadi Tajbakhsh

The capacity region of multi-pair bidirectional relay networks, in which a relay node facilitates the communication between multiple pairs of users, is studied. This problem is first examined in the context of the linear shift deterministic…

Information Theory · Computer Science 2016-11-17 Aydin Sezgin , A. Salman Avestimehr , M. Amin Khajehnejad , Babak Hassibi

Network capacity region is an important character of mobile ad hoc networks. Using cell-partitioned model, an expression of upper bound of delay-tolerant hybrid mobile ad hoc network is deduced regardless of coverage of base stations, types…

Networking and Internet Architecture · Computer Science 2014-04-08 Hu Li , Yuan`an Liu , Hefei Hu , Dongming Yuan , Sirui Duan

We consider a noncoherent wireless network, where the transmitters and receivers are cognizant of the statistics of the fading coefficients, but are ignorant of their realizations. We demonstrate that if the nodes do not cooperate, if they…

Information Theory · Computer Science 2015-07-02 Grace Villacrés , Tobias Koch

The capacity of a class of multi-way relay channels, where L users communicate via a relay (at possibly different rates), is derived for the case where the channel outputs are modular sums of the channel inputs and the receiver noise. The…

Information Theory · Computer Science 2011-11-16 Lawrence Ong , Sarah J. Johnson , Christopher M. Kellett

Consider the problem of a multiple access channel in a time dependent environment with a large number of users. In such a system, mostly due to practical constraints (e.g., decoding complexity), not all users can be scheduled together, and…

Information Theory · Computer Science 2018-11-07 Ori Shmuel , Asaf Cohen , Omer Gurewitz