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This paper focuses on the capacity of peer-to-peer relay communications wherein the transmitter are assisted by an arbitrary number of parallel relays, i.e. there is no link and cooperation between the relays themselves. We detail the…

Information Theory · Computer Science 2014-04-08 Farshad Shams , Marco Luise

This paper investigates the additive white Gaussian noise two-way relay channel, where two users exchange messages through a relay. Asymmetrical channels are considered where the users can transmit data at different rates and at different…

Information Theory · Computer Science 2011-10-26 Lawrence Ong , Christopher M. Kellett , Sarah J. Johnson

This paper investigates two strategies to reduce the communication delay in future wireless networks: traffic dispersion and network densification. A hybrid scheme that combines these two strategies is also considered. The probabilistic…

Networking and Internet Architecture · Computer Science 2018-03-15 Guang Yang , Ming Xiao , H. Vincent Poor

We address the structure identification and the uniform approximation of two fully nonlinear layer neural networks of the type $f(x)=1^T h(B^T g(A^T x))$ on $\mathbb R^d$ from a small number of query samples. We approach the problem by…

Machine Learning · Computer Science 2019-07-02 Massimo Fornasier , Timo Klock , Michael Rauchensteiner

We consider scaling laws for maximal energy efficiency of communicating a message to all the nodes in a wireless network, as the number of nodes in the network becomes large. Two cases of large wireless networks are studied -- dense random…

Information Theory · Computer Science 2009-05-26 Aman Jain , Sanjeev R. Kulkarni , Sergio Verdu

Motivated by the shape of transportation networks such as subways, we consider a distribution of points in the plane and ask for the network $G$ of given length $L$ that is optimal in a certain sense. In the general model, the optimality…

Physics and Society · Physics 2019-05-22 David Aldous , Marc Barthelemy

This is the third of a series of four papers in which we prove the following relaxation of the Loebl-Komlos-Sos Conjecture: For every $\alpha>0$ there exists a number $k_0$ such that for every $k>k_0$ every $n$-vertex graph $G$ with at…

Combinatorics · Mathematics 2017-07-31 Jan Hladký , János Komlós , Diana Piguet , Miklós Simonovits , Maya J. Stein , Endre Szemerédi

Graph neural networks have become a staple in problems addressing learning and analysis of data defined over graphs. However, several results suggest an inherent difficulty in extracting better performance by increasing the number of…

Machine Learning · Computer Science 2021-03-30 Diego Valsesia , Giulia Fracastoro , Enrico Magli

This paper studies caching in (K+L-1) x K partially connected wireless linear networks, where each of the K receivers locally communicates with L out of the K+L-1 transmitters, and caches are at all nodes. The goal is to design caching and…

Information Theory · Computer Science 2019-10-14 Fan Xu , Meixia Tao , Tiankai Zheng

We consider the problem of cross-layer resource allocation in time-varying cellular wireless networks, and incorporate information theoretic secrecy as a Quality of Service constraint. Specifically, each node in the network injects two…

Information Theory · Computer Science 2015-03-17 C. Emre Koksal , Ozgur Ercetin , Yunus Sarikaya

In this paper, a Gaussian two-way relay channel, where two source nodes exchange messages with each other through a relay, is considered. We assume that all nodes operate in full-duplex mode and there is no direct channel between the source…

Information Theory · Computer Science 2009-02-17 Wooseok Nam , Sae-Young Chung , Yong H. Lee

Network slicing is a key feature in 5G/NG cellular networks that creates customized slices for different service types with various quality-of-service (QoS) requirements, which can achieve service differentiation and guarantee service-level…

Signal Processing · Electrical Eng. & Systems 2025-09-23 Yiğit Berkay Uslu , Roya Doostnejad , Alejandro Ribeiro , Navid NaderiAlizadeh

We give a geometric construction of neural networks that separate disjoint compact subsets of $\Bbb R^n$, and use it to obtain a constructive universal approximation theorem. Specifically, we show that networks with two hidden layers and…

Machine Learning · Computer Science 2026-02-16 Chanyoung Sung

Let W be a projective variety of dimension n+1, L a free line bundle on W, X in $H^0(L^d)$ a hypersurface of degree d which is generic among those given by sums of monomials from $L$, and let $f : Y \to X$ be a generically finite map from a…

Algebraic Geometry · Mathematics 2007-05-23 L. Chiantini , A. F. Lopez , Z. Ran

In the half-duplex single relay selection network, comprised of a source, $M$ half-duplex relays, and a destination, only one relay is active at any given time, i.e., only one relay receives or transmits, and the other relays are inactive,…

Information Theory · Computer Science 2015-04-10 Nikola Zlatanov , Vahid Jamali , Robert Schober

{\em Hypernetworks} are architectures that produce the weights of a task-specific {\em primary network}. A notable application of hypernetworks in the recent literature involves learning to output functional representations. In these…

Machine Learning · Computer Science 2021-02-24 Etai Littwin , Tomer Galanti , Lior Wolf , Greg Yang

We consider a diamond-shaped dual-hop communication system consisting a source, two parallel half-duplex relays and a destination. In a single antenna configuration, it has been previously shown that a two-phase node-scheduling algorithm,…

Information Theory · Computer Science 2008-05-20 Hossein Bagheri , Abolfazl S. Motahari , Amir K. Khandani

In layered communication networks there are only connections between intermediate nodes in adjacent layers. Applying network coding to such networks provides a number of benefits in theory as well as in practice. We propose a "layering…

Information Theory · Computer Science 2016-02-10 Michael Cyran , Birgit Schotsch , Johannes B. Huber , Robert F. H. Fischer , Vahid Forutan

In this paper we present several strategies for multiple relay networks which are constrained by a half-duplex operation, i. e., each node either transmits or receives on a particular resource. Using the discrete memoryless multiple relay…

Information Theory · Computer Science 2007-12-24 P. Rost , G. Fettweis

This paper studies incremental relay strategies for a two-user Gaussian relay-interference channel with an in-band-reception and out-of-band-transmission relay, where the link between the relay and the two receivers is modelled as a…

Information Theory · Computer Science 2012-12-13 Lei Zhou , Wei Yu