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A large amount of recent research has the far-reaching goal of finding training methods for deep neural networks that can serve as alternatives to backpropagation (BP). A prominent example is predictive coding (PC), which is a…

Machine Learning · Computer Science 2022-11-08 Luca Pinchetti , Tommaso Salvatori , Yordan Yordanov , Beren Millidge , Yuhang Song , Thomas Lukasiewicz

A new approach for designing bilayer and multi-layer LDPC codes is proposed and studied in the asymptotic regime. The ensembles are defined through individual uni-variate degree distributions, one for each layer. We present a construction…

Information Theory · Computer Science 2020-10-29 Eshed Ram , Yuval Cassuto

Neural Architecture Search (NAS) methods have shown to output networks that largely outperform human-designed networks. However, conventional NAS methods have mostly tackled the single dataset scenario, incuring in a large computational…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 Sofia Casarin , Oswald Lanz , Sergio Escalera

This paper presents the first reliable physical-layer network coding (PNC) system that supports real TCP/IP applications for the two-way relay network (TWRN). Theoretically, PNC could boost the throughput of TWRN by a factor of 2 compared…

Networking and Internet Architecture · Computer Science 2016-04-21 Lizhao You , Soung Chang Liew , Lu Lu

In this paper, we analyze the tradeoff between coding rate and asymptotic performance of a class of generalized low-density parity-check (GLDPC) codes constructed by including a certain fraction of generalized constraint (GC) nodes in the…

Information Theory · Computer Science 2019-10-16 Yanfang Liu , Pablo M. Olmos , Tobias Koch

The aim of this paper is to study the achievable rates for a $K$ user Gaussian interference channels for any SNR using a combination of lattice and algebraic codes. Lattice codes are first used to transform the Gaussian interference channel…

Information Theory · Computer Science 2011-09-27 Amin Jafarian , Sriram Vishwanath

The capacity of unifilar finite-state channels in the presence of feedback is investigated. We derive a new evaluation method to extract graph-based encoders with their achievable rates, and to compute upper bounds to examine their…

Information Theory · Computer Science 2019-07-19 Oron Sabag , Bashar Huleihel , Haim Permuter

Random linear network codes can be designed and implemented in a distributed manner, with low computational complexity. However, these codes are classically implemented over finite fields whose size depends on some global network parameters…

Information Theory · Computer Science 2010-08-04 Tracey Ho , Sidharth Jaggi , Svitlana Vyetrenko , Lingxiao Xia

Passive network tomography uses end-to-end observations of network communication to characterize the network, for instance to estimate the network topology and to localize random or adversarial glitches. Under the setting of linear network…

Networking and Internet Architecture · Computer Science 2016-11-15 Hongyi Yao , Sidharth Jaggi , Minghua Chen

This work considers the protograph-coded physical network coding (PNC) based on Alamouti space-time block coding (STBC) over Nakagami-fading two-way relay channels, in which both the two sources and relay possess two antennas. We first…

Information Theory · Computer Science 2016-11-17 Yi Fang , Lin Wang , Kai-Kit Wong , Kin-Fai Tong

Lattices are deceptively simple mathematical structures that have become indispensable for code design for physical layer communications. While lattice-related problems are interesting in their own right, the usefulness of these discrete…

Information Theory · Computer Science 2017-06-21 Amaro Barreal

We present a framework to study linear deterministic interference networks over finite fields. Unlike the popular linear deterministic models introduced to study Gaussian networks, we consider networks where the channel coefficients are…

Information Theory · Computer Science 2013-08-06 Song-Nam Hong , Giuseppe Caire

The problem of finding network codes for general connections is inherently difficult in capacity constrained networks. Resource minimization for general connections with network coding is further complicated. Existing methods for…

Information Theory · Computer Science 2016-07-05 Ying Cui , Muriel Médard , Fan Lai , Edmund Yeh , Douglas Leith , Ken Duffy , Dhaivat Pandya

We investigate the potentials of applying the coded caching paradigm in wireless networks. In order to do this, we investigate physical layer schemes for downlink transmission from a multiantenna transmitter to several cache-enabled users.…

Information Theory · Computer Science 2018-01-30 Seyed Pooya Shariatpanahi , Giuseppe Caire , Babak Hossein Khalaj

In this work, we propose a fully differentiable iterative decoder for quantum low-density parity-check (LDPC) codes. The proposed algorithm is composed of classical belief propagation (BP) decoding stages and intermediate graph neural…

Quantum Physics · Physics 2026-05-14 Anqi Gong , Sebastian Cammerer , Joseph M. Renes

This paper presents $\Psi$-GNN, a novel Graph Neural Network (GNN) approach for solving the ubiquitous Poisson PDE problems with mixed boundary conditions. By leveraging the Implicit Layer Theory, $\Psi$-GNN models an "infinitely" deep…

The index coding problem involves a sender with K messages to be transmitted across a broadcast channel, and a set of receivers each of which demands a subset of the K messages while having prior knowledge of a different subset as side…

Information Theory · Computer Science 2016-11-17 Lakshmi Natarajan , Yi Hong , Emanuele Viterbo

In the algebraic view, the solution to a network coding problem is seen as a variety specified by a system of polynomial equations typically derived by using edge-to-edge gains as variables. The output from each sink is equated to its…

Information Theory · Computer Science 2016-11-17 Abhay T. Subramanian , Andrew Thangaraj

We present a novel cross layer approach to random access (RA) that combines physical-layer network coding (PLNC) with multiuser detection (MUD). PLNC and MUD are applied jointly at the physical level in order to extract any linear…

Networking and Internet Architecture · Computer Science 2014-06-19 Giuseppe Cocco , Stephan Pfletschinger , Monica Navarro

Neighborhood regression has been a successful approach in graphical and structural equation modeling, with applications to learning undirected and directed graphical models. We extend these ideas by defining and studying an algebraic…

Statistics Theory · Mathematics 2019-02-07 Arash A. Amini , Bryon Aragam , Qing Zhou
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