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This paper presents a novel auto-encoder based end-to-end channel encoding and decoding. It integrates deep reinforcement learning (DRL) and graph neural networks (GNN) in code design by modeling the generation of code parity-check matrices…

Machine Learning · Computer Science 2024-12-04 Kou Tian , Chentao Yue , Changyang She , Yonghui Li , Branka Vucetic

In this work, we propose a fully differentiable graph neural network (GNN)-based architecture for channel decoding and showcase a competitive decoding performance for various coding schemes, such as low-density parity-check (LDPC) and BCH…

Information Theory · Computer Science 2022-10-13 Sebastian Cammerer , Jakob Hoydis , Fayçal Aït Aoudia , Alexander Keller

Designing a practical, low complexity, close to optimal, channel decoder for powerful algebraic codes with short to moderate block length is an open research problem. Recently it has been shown that a feed-forward neural network…

Information Theory · Computer Science 2017-02-27 Eliya Nachmani , Elad Marciano , David Burshtein , Yair Be'ery

Weighted belief propagation (WBP) for the decoding of linear block codes is considered. In WBP, the Tanner graph of the code is unrolled with respect to the iterations of the belief propagation decoder. Then, weights are assigned to the…

Information Theory · Computer Science 2025-07-29 Alireza Tasdighi , Mansoor Yousefi

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

Graph neural networks (GNNs) are widely used in graph learning and most architectures propagate information by passing messages between vertices. In this work, we shift our attention to GNNs that perform message passing on edges and…

Machine Learning · Computer Science 2026-02-03 Pablo Barceló , Fabian Jogl , Alexander Kozachinskiy , Matthias Lanzinger , Stefan Neumann , Cristóbal Rojas

Neural decoders were shown to outperform classical message passing techniques for short BCH codes. In this work, we extend these results to much larger families of algebraic block codes, by performing message passing with graph neural…

Information Theory · Computer Science 2019-10-28 Eliya Nachmani , Lior Wolf

Graph neural networks (GNN) have been ubiquitous in graph node classification tasks. Most of GNN methods update the node embedding iteratively by aggregating its neighbors' information. However, they often suffer from negative disturbance,…

Machine Learning · Computer Science 2022-02-02 Jie Chen , Shouzhen Chen , Mingyuan Bai , Jian Pu , Junping Zhang , Junbin Gao

Graph neural networks (GNNs) have drawn significant research attention recently, mostly under the setting of semi-supervised learning. When task-agnostic representations are preferred or supervision is simply unavailable, the auto-encoder…

Machine Learning · Computer Science 2022-02-21 Mingyue Tang , Carl Yang , Pan Li

To leverage the full potential of quantum error-correcting stabilizer codes it is crucial to have an efficient and accurate decoder. Accurate, maximum likelihood, decoders are computationally very expensive whereas decoders based on more…

Graph neural networks (GNNs) have become powerful tools for processing graph-based information in various domains. A desirable property of GNNs is transferability, where a trained network can swap in information from a different graph…

Machine Learning · Computer Science 2024-06-24 A. Martina Neuman , Jason J. Bramburger

We present GERN, a novel scalable framework for training GNNs in node classification tasks, based on effective resistance, a standard tool in spectral graph theory. Our method progressively refines the GNN weights on a sequence of random…

Machine Learning · Computer Science 2025-02-25 Francesco Bonchi , Claudio Gentile , Francesco Paolo Nerini , André Panisson , Fabio Vitale

Message passing graph neural networks (GNNs) are known to have their expressiveness upper-bounded by 1-dimensional Weisfeiler-Leman (1-WL) algorithm. To achieve more powerful GNNs, existing attempts either require ad hoc features, or…

Machine Learning · Computer Science 2024-01-24 Meng Liu , Haiyang Yu , Shuiwang Ji

The usual belief propagation (BP) decoders are, in general, exchanging local information on the Tanner graph of the quantum error-correcting (QEC) code and, in particular, are known to not have a threshold for the surface code. We propose…

Quantum Physics · Physics 2026-03-06 Pedro Hack , Luca Menti , Francisco Lazaro , Alexandru Paler

We present a novel edge-level ego-network encoding for learning on graphs that can boost Message Passing Graph Neural Networks (MP-GNNs) by providing additional node and edge features or extending message-passing formats. The proposed…

Machine Learning · Computer Science 2024-05-03 Nurudin Alvarez-Gonzalez , Andreas Kaltenbrunner , Vicenç Gómez

Deploying graph neural networks (GNNs) on whole-graph classification or regression tasks is known to be challenging: it often requires computing node features that are mindful of both local interactions in their neighbourhood and the global…

Machine Learning · Computer Science 2022-12-22 Andreea Deac , Marc Lackenby , Petar Veličković

Subgraph GNNs enhance message-passing GNNs expressivity by representing graphs as sets of subgraphs, demonstrating impressive performance across various tasks. However, their scalability is hindered by the need to process large numbers of…

Machine Learning · Computer Science 2025-06-02 Guy Bar-Shalom , Yam Eitan , Fabrizio Frasca , Haggai Maron

Learning representations of sets of nodes in a graph is crucial for applications ranging from node-role discovery to link prediction and molecule classification. Graph Neural Networks (GNNs) have achieved great success in graph…

Machine Learning · Computer Science 2020-10-30 Pan Li , Yanbang Wang , Hongwei Wang , Jure Leskovec

Deep neural networks (NNs) are considered a powerful tool for balancing the performance and complexity of multiple-input multiple-output (MIMO) receivers due to their accurate feature extraction, high parallelism, and excellent inference…

Information Theory · Computer Science 2024-10-28 Xingyu Zhou , Jing Zhang , Chao-Kai Wen , Shi Jin , Shuangfeng Han

We present a simple and effective approach to incorporating syntactic structure into neural attention-based encoder-decoder models for machine translation. We rely on graph-convolutional networks (GCNs), a recent class of neural networks…

Computation and Language · Computer Science 2020-06-22 Jasmijn Bastings , Ivan Titov , Wilker Aziz , Diego Marcheggiani , Khalil Sima'an
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