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We introduce a new class of hybrid preconditioners for solving parametric linear systems of equations. The proposed preconditioners are constructed by hybridizing the deep operator network, namely DeepONet, with standard iterative methods.…

Numerical Analysis · Mathematics 2024-01-11 Alena Kopaničáková , George Em Karniadakis

We study a class of linear network coding (LNC) schemes, called circular-shift LNC, whose encoding operations consist of only circular-shifts and bit-wise additions (XOR). Formulated as a special vector linear code over GF($2$), an…

Information Theory · Computer Science 2019-01-03 Hanqi Tang , Qifu Tyler Sun , Zongpeng Li , Xiaolong Yang , Keping Long

This paper focuses on the link scheduling problem in networks where signal delays between nodes are multiples of a time interval. To model such networks, a directed hypergraph is employed, along with an integer matrix that specifies the…

Information Theory · Computer Science 2024-10-28 Shenghao Yang , Jun Ma , Yanxiao Liu

Existing asynchronous distributed optimization algorithms often use diminishing step-sizes that cause slow practical convergence, or fixed step-sizes that depend on an assumed upper bound of delays. Not only is such a delay bound hard to…

Optimization and Control · Mathematics 2023-08-24 Xuyang Wu , Changxin Liu , Sindri Magnusson , Mikael Johansson

Intra-session network coding has been shown to offer significant gains in terms of achievable throughput and delay in settings where one source multicasts data to several clients. In this paper, we consider a more general scenario where…

Information Theory · Computer Science 2016-11-17 Eirina Bourtsoulatze , Nikolaos Thomos , Pascal Frossard

Existing time series tokenization methods predominantly encode a constant number of samples into individual tokens. This inflexible approach can generate excessive tokens for even simple patterns like extended constant values, resulting in…

Machine Learning · Computer Science 2026-01-29 Leon Götz , Marcel Kollovieh , Stephan Günnemann , Leo Schwinn

This paper proposes an unsupervised learning-based precoding framework that trains deep neural networks (DNNs) with no target labels by unfolding an interior point method (IPM) proximal `log' barrier function. The proximal `log' barrier…

Signal Processing · Electrical Eng. & Systems 2021-10-20 Abdullahi Mohammad , Christos Masouros , Yiannis Andreopoulos

In this paper, we show how to construct a factor graph from a network code. This provides a systematic framework for decoding using message passing algorithms. The proposed message passing decoder exploits knowledge of the underlying…

Information Theory · Computer Science 2009-04-21 Daniel Salmond , Alex Grant , Terence Chan , Ian Grivell

Employing large antenna arrays and utilizing large bandwidth have the potential of bringing very high data rates to future wireless communication systems. However, this brings the system into the near-field regime and also makes the…

Information Theory · Computer Science 2023-01-03 Yu Zhang , Ahmed Alkhateeb

Circular-shift linear network coding (LNC) is a class of vector LNC with local encoding kernels selected from cyclic permutation matrices, so that it has low coding complexities. However, it is insufficient to exactly achieve the capacity…

Information Theory · Computer Science 2024-12-24 Sheng Jin , Zhe Zhai , Qifu Tyler Sun , Zongpeng Li

We consider the problem of encoding information in a system of N=K+R processors that operate in a decentralized manner, i.e., without a central processor which orchestrates the operation. The system involves K source processors, each…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-26 Canran Wang , Netanel Raviv

Accurate prediction of flow delay is essential for optimizing and managing modern communication networks. We investigate three levels of modeling for this task. First, we implement a heterogeneous GNN with attention-based message passing,…

Machine Learning · Computer Science 2026-02-17 Sami Marouani , Kamal Singh , Baptiste Jeudy , Amaury Habrard

We demonstrate the use of computational phylogenetic techniques to solve a central problem in inferential network monitoring. More precisely, we design a novel algorithm for multicast-based delay inference, i.e. the problem of…

Probability · Mathematics 2011-09-07 Shankar Bhamidi , Ram Rajagopal , Sebastien Roch

Current state-of-the-art machine translation systems are based on encoder-decoder architectures, that first encode the input sequence, and then generate an output sequence based on the input encoding. Both are interfaced with an attention…

Computation and Language · Computer Science 2018-11-02 Maha Elbayad , Laurent Besacier , Jakob Verbeek

In asynchronous physical-layer network coding (APNC) systems, the symbols from multiple transmitters to a common receiver may be misaligned. The knowledge of the amount of symbol misalignment, hence its estimation, is important to PNC…

Information Theory · Computer Science 2017-01-24 Yulin Shao , Soung Chang Liew , Lu Lu

Spiking neural networks (SNNs) are biologically inspired, event-driven models suited for temporal data processing and energy-efficient neuromorphic computing. In SNNs, richer neuronal dynamic allows capturing more complex temporal…

Machine Learning · Computer Science 2026-03-27 Sanja Karilanova , Subhrakanti Dey , Ayça Özçelikkale

Transformer encoders contextualize token representations by attending to all other tokens at each layer, leading to quadratic increase in compute effort with the input length. In practice, however, the input text of many NLP tasks can be…

Computation and Language · Computer Science 2023-06-01 Jeremiah Milbauer , Annie Louis , Mohammad Javad Hosseini , Alex Fabrikant , Donald Metzler , Tal Schuster

Bayesian online algorithms for Sum-Product Networks (SPNs) need to update their posterior distribution after seeing one single additional instance. To do so, they must compute moments of the model parameters under this distribution. The…

Machine Learning · Computer Science 2017-11-07 Han Zhao , Geoff Gordon

This paper introduces a novel precoder design aimed at reducing pilot overhead for effective channel estimation in multiple-input multiple-output orthogonal frequency division multiplexing (MIMO-OFDM) applications utilizing high-order…

Signal Processing · Electrical Eng. & Systems 2025-04-30 Nilesh Kumar Jha , Huayan Guo , Vincent K. N. Lau

The problem of designing physical-layer network coding (PNC) schemes via nested lattices is considered. Building on the compute-and-forward (C&F) relaying strategy of Nazer and Gastpar, who demonstrated its asymptotic gain using…

Information Theory · Computer Science 2015-03-19 Chen Feng , Danilo Silva , Frank R. Kschischang