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Interference is a fundamental feature of the wireless channel. To better understand the role of cooperation in interference management, the two-user Gaussian interference channel where the destination nodes can cooperate by virtue of being…

Information Theory · Computer Science 2011-01-28 Vinod M. Prabhakaran , Pramod Viswanath

This paper studies the value of limited rate cooperation between the transmitters for managing interference and simultaneously ensuring secrecy, in the 2-user Gaussian symmetric interference channel (GSIC). First, the problem is studied in…

Information Theory · Computer Science 2016-06-14 Parthajit Mohapatra , Chandra R. Murthy

Deep neural networks are highly expressive machine learning models with the ability to interpolate arbitrary datasets. Deep nets are typically optimized via first-order methods and the optimization process crucially depends on the…

Machine Learning · Statistics 2019-11-12 Talha Cihad Gulcu

This paper considers the use of energy harvesters, instead of conventional time-invariant energy sources, in wireless cooperative communication. For the purpose of exposition, we study the classic three-node Gaussian relay channel with…

Information Theory · Computer Science 2016-11-17 Chuan Huang , Rui Zhang , Shuguang Cui

In this paper, we study a routing problem on the Gaussian multiple relay channel, in which nodes employ a decode-and-forward coding strategy. We are interested in routes for the information flow through the relays that achieve the highest…

Information Theory · Computer Science 2010-04-15 Lawrence Ong , Mehul Motani

We consider a two-user Gaussian multiple-input multiple-output (MIMO) broadcast channel with a common multiple-antenna relay, and a shared digital (noiseless) link between the relay and the two destinations. For this channel, this paper…

Information Theory · Computer Science 2015-03-17 Peyman Razaghi , Giuseppe Caire

A proper abstraction of a large-scale linear consensus network with a dense coupling graph is one whose number of coupling links is proportional to its number of subsystems and its performance is comparable to the original network. Optimal…

Systems and Control · Computer Science 2017-09-06 Milad Siami , Nader Motee

In this paper, we consider a parallel relay network where two relays cooperatively help a source transmit to a destination. We assume the source and the destination nodes are equipped with multiple antennas. Three basic schemes and their…

Information Theory · Computer Science 2017-01-27 Muryong Kim , Sae-Young Chung

We revisit the Gaussian broadcast channel (GBC) and explore the rate region achieved by purely discrete inputs with treating interference as noise (TIN) decoding. Specifically, we introduce a simple scheme based on superposition coding with…

Information Theory · Computer Science 2026-04-07 Yujie Shao , Min Qiu

This paper proposes a novel method for deep learning based on the analytical convolution of multidimensional Gaussian mixtures. In contrast to tensors, these do not suffer from the curse of dimensionality and allow for a compact…

Machine Learning · Computer Science 2022-02-21 Adam Celarek , Pedro Hermosilla , Bernhard Kerbl , Timo Ropinski , Michael Wimmer

We compute the probability distribution of the interface width at the depinning threshold, using recent powerful algorithms. It confirms the universality classes found previously. In all cases, the distribution is surprisingly well…

Condensed Matter · Physics 2009-11-10 Alberto Rosso , Werner Krauth , Pierre Le Doussal , Jean Vannimenus , Kay Joerg Wiese

This paper presents an analysis of properties of two hybrid discretization methods for Gaussian derivatives, based on convolutions with either the normalized sampled Gaussian kernel or the integrated Gaussian kernel followed by central…

Numerical Analysis · Mathematics 2025-01-31 Tony Lindeberg

We prove large and moderate deviations for the output of Gaussian fully connected neural networks. The main achievements concern deep neural networks (i.e., when the model has more than one hidden layer) and hold for bounded and continuous…

Probability · Mathematics 2026-04-01 Claudio Macci , Barbara Pacchiarotti , Giovanni Luca Torrisi

A two-user symmetric Gaussian Interference Channel (IC) is considered in which a noiseless unidirectional link connects one encoder to the other. Having a constant capacity, the additional link provides partial cooperation between the…

Information Theory · Computer Science 2009-09-16 Hossein Bagheri , Abolfazl S. Motahari , Amir K. Khandani

Communication networks are often designed and analyzed assuming tight synchronization among nodes. However, in applications that require communication in the energy-efficient regime of low signal-to-noise ratios, establishing tight…

Information Theory · Computer Science 2016-11-18 Ritesh Kolte , Urs Niesen , Piyush Gupta

The problem of maximum rate achievable with analog network coding for a unicast communication over a layered relay network with directed links is considered. A relay node performing analog network coding scales and forwards the signals…

Information Theory · Computer Science 2012-04-24 Samar Agnihotri , Sidharth Jaggi , Minghua Chen

In a recent work \cite{LiuJoladSchZia13}, we introduced dynamic networks with preferred degrees and presented simulation and analytic studies of a single, homogeneous system as well as two interacting networks. Here, we extend these studies…

Physics and Society · Physics 2014-05-23 Wenjia Liu , B. Schmittmann , R. K. P. Zia

In this work, we propose a cross-layer design strategy based on a joint successive interference cancellation (SIC) detection technique and a multi-relay selection algorithm for the uplink of cooperative direct-sequence code-division…

Information Theory · Computer Science 2014-10-03 J. Gu , R. C. de Lamare

We derive closed-form expressions for the achievable rates of a buffer-aided full-duplex (FD) multiple-input multiple-output (MIMO) Gaussian relay channel. The FD relay still suffers from residual self-interference (RSI) after the…

Information Theory · Computer Science 2017-08-03 Ahmed El Shafie , Ahmed Sultan , Ioannis Krikidis , Naofal Al-Dhahir , Ridha Hamila

The problem of communicating a single message to a destination in presence of multiple relay nodes, referred to as cooperative unicast network, is considered. First, we introduce "Mixed Noisy Network Coding" (MNNC) scheme which generalizes…

Information Theory · Computer Science 2014-10-21 Arash Behboodi , Pablo Piantanida