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Reliable transmission of a discrete memoryless source over a multiple-relay relay-broadcast network is considered. Motivated by sensor network applications, it is assumed that the relays and the destinations all have access to side…

Information Theory · Computer Science 2012-02-28 Deniz Gunduz , Elza Erkip , Andrea Goldsmith , H. Vincent Poor

Connectivity and reachability on temporal networks, which can describe the spreading of a disease, decimation of information or the accessibility of a public transport system over time, have been among the main contemporary areas of study…

Physics and Society · Physics 2023-06-13 Arash Badie-Modiri , Abbas K. Rizi , Márton Karsai , Mikko Kivelä

Networks constitute efficient tools for assessing universal features of complex systems. In physical contexts, classical as well as quantum, networks are used to describe a wide range of phenomena, such as phase transitions, intricate…

Quantum Physics · Physics 2016-01-22 Jaroslav Novotný , Gernot Alber , Igor Jex

A communicating system is $k$-synchronizable if all of the message sequence charts representing the executions can be divided into slices of $k$ sends followed by $k$ receptions. It was previously shown that, for a fixed given $k$, one…

Formal Languages and Automata Theory · Computer Science 2021-04-30 Cinzia Di Giusto , Laetitia Laversa , Etienne Lozes

In general, some of the well known results of measure theory dealing with the convergence of sequences of functions such as the Dominated Convergence Theorem or the Monotone Convergence Theorem are not true when we consider arbitrary nets…

Functional Analysis · Mathematics 2023-07-19 Daniel L. Rodríguez-Vidanes

A rumor spreading in a social network or a disease propagating in a community can be modeled as an infection spreading in a network. Finding the infection source is a challenging problem, which is made more difficult in many applications…

Social and Information Networks · Computer Science 2014-04-08 Wuqiong Luo , Wee Peng Tay , Mei Leng

An interactive function computation problem in a collocated network is studied in a distributed block source coding framework. With the goal of computing a desired function at the sink, the source nodes exchange messages through a sequence…

Information Theory · Computer Science 2016-11-17 Nan Ma , Prakash Ishwar

Let $G = (VG, AG)$ be a directed graph with a set $S \subseteq VG$ of terminals and nonnegative integer arc capacities $c$. A feasible multiflow is a nonnegative real function $F(P)$ of "flows" on paths $P$ connecting distinct terminals…

Combinatorics · Mathematics 2012-12-04 Maxim A. Babenko , Alexander V. Karzanov

Gated networks are networks that contain gating connections, in which the outputs of at least two neurons are multiplied. Initially, gated networks were used to learn relationships between two input sources, such as pixels from two images.…

Machine Learning · Computer Science 2015-12-11 Olivier Sigaud , Clément Masson , David Filliat , Freek Stulp

Due to the large size of wireless networks, it is often impractical for nodes to track changes in the complete network state. As a result, nodes have to make distributed decisions about their transmission and reception parameters based on…

Information Theory · Computer Science 2014-07-15 Vaneet Aggarwal , Youjian Liu , Ashutosh Sabharwal

We study the reliability of phase oscillator networks in response to fluctuating inputs. Reliability means that an input elicits essentially identical responses upon repeated presentations, regardless of the network's initial condition. In…

Chaotic Dynamics · Physics 2007-08-23 Kevin K. Lin , Eric Shea-Brown , Lai-Sang Young

The theoretic capacity of a communication system constituted of several transmitting/receiving elements is determined by the singular values of its transfer matrix. Results based on an independent identically distributed channel model,…

Mathematical Physics · Physics 2012-09-27 François Bentosela , Eric Soccorsi

A receiver wants to compute a function f of two correlated sources X and Y and side information Z. What is the minimum number of bits that needs to be communicated by each transmitter? In this paper, we derive inner and outer bounds to the…

Information Theory · Computer Science 2015-03-19 Milad Sefidgaran , Aslan Tchamkerten

Distributed resource allocation is a central task in network systems such as smart grids, water distribution networks, and urban transportation systems. When solving such problems in practice it is often important to have nonasymptotic…

Optimization and Control · Mathematics 2021-03-30 Xuyang Wu , Sindri Magnusson , Mikael Johansson

Motivated by physical-layer network coding, this paper considers communication in multiplicative matrix channels over finite chain rings. Such channels are defined by the law $Y =A X$, where $X$ and $Y$ are the input and output matrices,…

Information Theory · Computer Science 2013-11-20 Roberto W. Nóbrega , Chen Feng , Danilo Silva , Bartolomeu F. Uchôa-Filho

Traditional communication theory focuses on minimizing transmit power. However, communication links are increasingly operating at shorter ranges where transmit power can be significantly smaller than the power consumed in decoding. This…

Information Theory · Computer Science 2011-02-17 Pulkit Grover , Kristen Ann Woyach , Anant Sahai

This paper studies the problem of controlling complex networks, that is, the joint problem of selecting a set of control nodes and of designing a control input to steer a network to a target state. For this problem (i) we propose a metric…

Systems and Control · Computer Science 2014-03-04 Fabio Pasqualetti , Sandro Zampieri , Francesco Bullo

Many network contagion processes are inherently multiplex in nature, yet are often reduced to processes on uniplex networks in analytic practice. We therefore examine how data modeling choices can affect the predictions of contagion…

Physics and Society · Physics 2023-01-24 Nicholas W. Landry , jimi adams

A coding problem for correlated information sources is investigated. Messages emitted from two correlated sources are jointly encoded, and delivered to two decoders. Each decoder has access to one of the two messages to enable it to…

Information Theory · Computer Science 2008-04-11 Akisato Kimura , Tomohiko Uyematsu

We consider communication-efficient weighted and unweighted (uniform) random sampling from distributed data streams presented as a sequence of mini-batches of items. This is a natural model for distributed streaming computation, and our…

Data Structures and Algorithms · Computer Science 2020-02-26 Lorenz Hübschle-Schneider , Peter Sanders