Mutual information for symmetric rank-one matrix estimation: A proof of the replica formula

M Dia, N Macris, F Krzakala… - Advances in Neural …, 2016 - proceedings.neurips.cc
Factorizing low-rank matrices has many applications in machine learning and statistics. For
probabilistic models in the Bayes optimal setting, a general expression for the mutual …

SPARCs for unsourced random access

A Fengler, P Jung, G Caire - IEEE Transactions on Information …, 2021 - ieeexplore.ieee.org
Unsourced random-access (U-RA) is a type of grant-free random access with a virtually
unlimited number of users, of which only a certain number K a are active on the same time …

Channel Coding Towards 6G: Technical Overview and Outlook

M Rowshan, M Qiu, Y Xie, X Gu… - IEEE Open Journal of the …, 2024 - ieeexplore.ieee.org
Channel coding plays a pivotal role in ensuring reliable communication over wireless
channels. With the growing need for ultra-reliable communication in emerging wireless use …

Spatially coupled turbo-like codes

S Moloudi, M Lentmaier… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
In this paper, we introduce the concept of spatially coupled turbo-like codes (SC-TCs) as the
spatial coupling of a number of turbo-like code ensembles. In particular, we consider the …

Trends in Channel Coding for 6G

S Miao, C Kestel, L Johannsen… - Proceedings of the …, 2024 - ieeexplore.ieee.org
Error correction coding (ie, channel coding) is a key ingredient of any digital
communications system. In mobile wireless communications, channel codes have evolved …

On sparse regression LDPC codes

JR Ebert, JF Chamberland… - 2023 IEEE International …, 2023 - ieeexplore.ieee.org
Iterative decoding of graph-based codes and sparse recovery through approximate
message passing (AMP) are two research areas that have seen monumental progress in …

Capacity-achieving spatially coupled sparse superposition codes with AMP decoding

C Rush, K Hsieh… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Sparse superposition codes, also referred to as sparse regression codes (SPARCs), are a
class of codes for efficient communication over the AWGN channel at rates approaching the …

Sparse regression codes

R Venkataramanan, S Tatikonda… - … and Trends® in …, 2019 - nowpublishers.com
Developing computationally-efficient codes that approach the Shannon-theoretic limits for
communication and compression has long been one of the major goals of information and …

Approaching capacity at high rates with iterative hard-decision decoding

YY Jian, HD Pfister… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
A variety of low-density parity-check (LDPC) ensembles have now been observed to
approach capacity with message-passing decoding. However, all of them use soft (ie, non …

Proof of threshold saturation for spatially coupled sparse superposition codes

J Barbier, M Dia, N Macris - 2016 IEEE International …, 2016 - ieeexplore.ieee.org
Recently, a new class of codes, called sparse superposition or sparse regression codes, has
been proposed for communication over the AWGN channel. It has been proven that they …