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We propose a path cover adaptive algebraic multigrid (PC-$\alpha$AMG) method for solving linear systems of weighted graph Laplacians and can also be applied to discretized second order elliptic partial differential equations. The…

Numerical Analysis · Mathematics 2018-06-20 Xiaozhe Hu , Junyuan Lin , Ludmil T. Zikatanov

With the increasing scale of machine learning tasks, it has become essential to reduce the communication between computing nodes. Early work on gradient compression focused on the bottleneck between CPUs and GPUs, but…

Optimization and Control · Mathematics 2020-06-18 Sarit Khirirat , Sindri Magnússon , Arda Aytekin , Mikael Johansson

Large-scale graph processing has drawn great attention in recent years. Most of the modern-day datacenter workloads can be represented in the form of Graph Processing such as MapReduce etc. Consequently, a lot of designs for Domain-Specific…

Hardware Architecture · Computer Science 2022-09-07 Khushal Sethi

Complex ADMM-Net, a complex-valued neural network architecture inspired by the alternating direction method of multipliers (ADMM), is designed for interference removal in super-resolution stepped frequency radar angle-range-doppler imaging.…

Signal Processing · Electrical Eng. & Systems 2021-07-07 Jeremy Johnston , Yinchuan Li , Marco Lops , Xiaodong Wang

In this work, a new parallel dual-grid multiscale approach for CFD-DEM couplings is investigated. Dual- grid multiscale CFD-DEM couplings have been recently developed and successfully adopted in different applications still, an efficient…

Computational Engineering, Finance, and Science · Computer Science 2018-12-26 Gabriele Pozzetti , Hrvoje Jasak , Xavier Besseron , Alban Rousset , Bernhard Peters

Learning graph generative models is a challenging task for deep learning and has wide applicability to a range of domains like chemistry, biology and social science. However current deep neural methods suffer from limited scalability: for a…

Machine Learning · Computer Science 2020-06-30 Hanjun Dai , Azade Nazi , Yujia Li , Bo Dai , Dale Schuurmans

Algebraic multigrid (AMG) is one of the most efficient iterative methods for solving large sparse system of equations. However, how to build/check restriction and prolongation operators in practical of AMG methods for nonsymmetric {\em…

Numerical Analysis · Mathematics 2022-02-24 Minghua Chen , Rongjun Cao , Stefano Serra-Capizzano

Graph Neural Networks (GNNs) have seen significant advances in recent years, yet their application to multigraphs, where parallel edges exist between the same pair of nodes, remains under-explored. Standard GNNs, designed for simple graphs,…

Machine Learning · Computer Science 2024-12-11 H. Çağrı Bilgi , Lydia Y. Chen , Kubilay Atasu

In this paper we study the tradeoff between parallelism and communication cost in a map-reduce computation. For any problem that is not "embarrassingly parallel," the finer we partition the work of the reducers so that more parallelism can…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-06-21 Foto N. Afrati , Anish Das Sarma , Semih Salihoglu , Jeffrey D. Ullman

This paper introduces layout-aware graph modeling for multimodal RAG. Different from traditional RAG methods that mostly deal with flat text chunks, the proposed method takes into account the relationship of multimodalities by using a graph…

Computation and Language · Computer Science 2025-03-10 Jeff Yang , Duy-Khanh Vu , Minh-Tien Nguyen , Xuan-Quang Nguyen , Linh Nguyen , Hung Le

In light of their capability to capture structural information while reducing computing complexity, anchor graph-based multi-view clustering (AGMC) methods have attracted considerable attention in large-scale clustering problems.…

Machine Learning · Computer Science 2025-09-19 Zhiyuan Xue , Ben Yang , Xuetao Zhang , Fei Wang , Zhiping Lin

Decentralized SGD can run with low communication costs, but its sparse communication characteristics deteriorate the convergence rate, especially when the number of nodes is large. In decentralized learning settings, communication is…

Machine Learning · Computer Science 2025-03-03 Yuki Takezawa , Sebastian U. Stich

Decentralized learning algorithms empower interconnected devices to share data and computational resources to collaboratively train a machine learning model without the aid of a central coordinator. In the case of heterogeneous data…

Machine Learning · Computer Science 2023-01-16 Matteo Zecchin , Marios Kountouris , David Gesbert

The increasing complexity of neural networks poses a significant barrier to the deployment of distributed machine learning (ML) on resource-constrained devices, such as federated learning (FL). Split learning (SL) offers a promising…

Machine Learning · Computer Science 2025-08-19 Zehang Lin , Zheng Lin , Miao Yang , Jianhao Huang , Yuxin Zhang , Zihan Fang , Xia Du , Zhe Chen , Shunzhi Zhu , Wei Ni

This paper investigates a communication-efficient split learning (SL) over multiple-input multiple-output (MIMO) communication system. In particular, we mathematically decompose the inter-layer connection of a neural network (NN) to a…

Signal Processing · Electrical Eng. & Systems 2022-10-11 Yuzhi Yang , Zhaoyang Zhang , Zhaohui Yang

Technology trends are making the cost of data movement increasingly dominant, both in terms of energy and time, over the cost of performing arithmetic operations in computer systems. The fundamental ratio of aggregate data movement…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-21 Venmugil Elango , Fabrice Rastello , Louis-Noël Pouchet , J. Ramanujam , P. Sadayappan

A novel language system has given rise to promising alternatives to standard formal and processor network models of computation. An interstring linked with a abstract machine environment, shares sub-expressions, transfers data, and…

Programming Languages · Computer Science 2010-07-30 Alexander Victor Berka

Most of the prior work in massively parallel data processing assumes homogeneity, i.e., every computing unit has the same computational capability, and can communicate with every other unit with the same latency and bandwidth. However, this…

Databases · Computer Science 2020-09-25 Xiao Hu , Paraschos Koutris , Spyros Blanas

We define a multiaccess communication scheme that effectively eliminates interference and resolves collisions in many-to-one and many-to-many communication scenarios. Each transmitter is uniquely identified by a steering vector. All signals…

Networking and Internet Architecture · Computer Science 2017-03-02 Naeem Akl , Ahmed Tewfik

We combine the multigrid (MG) method with state-of-the-art concepts from the variational formulation of the numerical renormalization group. The resulting MG renormalization (MGR) method is a natural generalization of the MG method for…

Computational Physics · Physics 2018-07-17 Michael Lubasch , Pierre Moinier , Dieter Jaksch