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Attribute graphs are ubiquitous in multimedia applications, and graph representation learning (GRL) has been successful in analyzing attribute graph data. However, incomplete graph data and missing node attributes can have a negative impact…

Machine Learning · Computer Science 2023-05-09 Xiaochuan Zhang , Mengran Li , Ye Wang , Haojun Fei

Multiphase flow is a critical process in a wide range of applications, including oil and gas recovery, carbon sequestration, and contaminant remediation. Numerical simulation of multiphase flow requires solving of a large, sparse linear…

Numerical Analysis · Mathematics 2018-03-14 Quan M. Bui , Lu Wang , Daniel Osei-Kuffuor

This work develops a nonlinear multigrid method for diffusion problems discretized by cell-centered finite volume methods on general unstructured grids. The multigrid hierarchy is constructed algebraically using aggregation of degrees of…

Numerical Analysis · Mathematics 2020-10-29 Chak Shing Lee , François Hamon , Nicola Castelletto , Panayot S. Vassilevski , Joshua White

Modern computing workloads commonly involve matrix-matrix multiplication (mmul) as a core computing pattern. Coarse-Grained Reconfigurable Arrays (CGRAs) can flexibly and efficiently support it, since they combine operation-level…

Hardware Architecture · Computer Science 2026-04-29 Yuxuan Wang , María José Belda , Fernando Castro , Katzalin Olcoz , David Atienza , Giovanni Ansaloni

This paper introduces the Exascale Grid Optimization (ExaGO) toolkit, a library for solving large-scale alternating current optimal power flow (ACOPF) problems including stochastic effects, security constraints and multi-period constraints.…

Systems and Control · Electrical Eng. & Systems 2022-03-22 Shrirang Abhyankar , Slaven Peles , Tamara Becejac , Jesse Holzer , Asher Mancinelli , Cameron Rutherford

With multi-core processors a ubiquitous building block of modern supercomputers, it is now past time to enable applications to embrace these developments in processor design. To achieve exascale performance, applications will need ways of…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-13 Michele Weiland , Lawrence Mitchell , Gerard Gorman , Stephan Kramer , Mark Parsons , James Southern

This paper introduces two decomposition-based methods for two-block mixed-integer linear programs (MILPs), which aim to take advantage of separable structures of the original problem by solving a sequence of lower-dimensional MILPs. The…

Optimization and Control · Mathematics 2024-01-03 Kaizhao Sun , Mou Sun , Wotao Yin

This paper introduces the Bi-linear consensus Alternating Direction Method of Multipliers (Bi-cADMM), aimed at solving large-scale regularized Sparse Machine Learning (SML) problems defined over a network of computational nodes.…

Machine Learning · Computer Science 2024-06-27 Alireza Olama , Andreas Lundell , Jan Kronqvist , Elham Ahmadi , Eduardo Camponogara

Open Computing Language (OpenCL) is a parallel processing language that is ideally suited for running parallel algorithms on Graphical Processing Units (GPUs). In the present work we report on the development of a generic parallel…

Computational Physics · Physics 2012-05-31 Cathal Ó Broin , L. A. A. Nikolopoulos

The GEneral Matrix Multiplication (GEMM) is one of the essential algorithms in scientific computing. Single-thread GEMM implementations are well-optimised with techniques like blocking and autotuning. However, due to the complexity of…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-15 Yufan Xia , Marco De La Pierre , Amanda S. Barnard , Giuseppe Maria Junior Barca

The modular open-source framework GRAMPC-D for model predictive control of distributed systems is presented in this paper. The modular concept allows to solve optimal control problems (OCP) in a centralized and distributed fashion using the…

Systems and Control · Electrical Eng. & Systems 2020-10-26 Daniel Burk , Andreas Völz , Knut Graichen

Algebraic Multigrid (AMG) is one of the most used iterative algorithms for solving large sparse linear equations $Ax=b$. In AMG, the coarse grid is a key component that affects the efficiency of the algorithm, the construction of which…

Numerical Analysis · Mathematics 2023-08-17 Haifeng Zou , Xiaowen Xu , Chen-Song Zhang , Zeyao Mo

HiCCL (Hierarchical Collective Communication Library) addresses the growing complexity and diversity in high-performance network architectures. As GPU systems have envolved into networks of GPUs with different multilevel communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-13 Mert Hidayetoglu , Simon Garcia de Gonzalo , Elliott Slaughter , Pinku Surana , Wen-mei Hwu , William Gropp , Alex Aiken

To enable heterogeneous computing systems with autonomous programming and optimization capabilities, we propose a unified, end-to-end, programmable graph representation learning (PGL) framework that is capable of mining the complexity of…

Machine Learning · Computer Science 2022-04-27 Yao Xiao , Guixiang Ma , Nesreen K. Ahmed , Mihai Capota , Theodore Willke , Shahin Nazarian , Paul Bogdan

mlpack is an open-source C++ machine learning library with an emphasis on speed and flexibility. Since its original inception in 2007, it has grown to be a large project implementing a wide variety of machine learning algorithms, from…

Mathematical Software · Computer Science 2017-08-31 Ryan R. Curtin , Marcus Edel

Introduction: Decompilers are useful tools for software analysis and support in the absence of source code. They are available for many hardware architectures and programming languages. However, none of the existing decompilers support…

Programming Languages · Computer Science 2021-07-19 K. I. Mihajlenko , M. A. Lukin , A. S. Stankevich

Multigrid has become a popular method for solving some of the most challenging real-world computational problems, such as computational fluid dynamics (CFD). The reason for this is the very good scaling properties of multigrid, which is…

Quantum Physics · Physics 2022-02-02 Peter Jaksch

The main objective of this work consists in analyzing sub-structuring method for the parallel solution of sparse linear systems with matrices arising from the discretization of partial differential equations such as finite element, finite…

Numerical Analysis · Mathematics 2021-08-31 Abal-Kassim Cheik Ahamed , Frédéric Magoulès

When considering different hardware platforms, not just the time-to-solution can be of importance but also the energy necessary to reach it. This is not only the case with battery powered and mobile devices but also with high-performance…

Performance · Computer Science 2020-06-30 Philip Heinisch , Katharina Ostaszewski , Hendrik Ranocha

This paper presents HDGlab, an open source MATLAB implementation of the hybridisable discontinuous Galerkin (HDG) method. The main goal is to provide a detailed description of both the HDG method for elliptic problems and its implementation…

Mathematical Software · Computer Science 2021-06-28 Matteo Giacomini , Ruben Sevilla , Antonio Huerta