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We present a general and scalable framework for the automated discovery of optimal meta-solvers for the solution of time-dependent nonlinear partial differential equations after appropriate discretization. By integrating classical numerical…

Numerical Analysis · Mathematics 2025-07-02 Youngkyu Lee , Shanqing Liu , Jerome Darbon , George Em Karniadakis

This paper presents a workflow for synthesizing near-optimal FPGA implementations for structured-mesh based stencil applications for explicit solvers. It leverages key characteristics of the application class, its computation-communication…

Hardware Architecture · Computer Science 2021-01-08 Kamalavasan Kamalakkannan , Gihan R. Mudalige , Istvan Z. Reguly , Suhaib A. Fahmy

We study the problem of scheduling a general computational DAG on multiple processors in a 2-level memory hierarchy. This setting is a natural generalization of several prominent models in the literature, and it simultaneously captures…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-24 Pál András Papp , Toni Böhnlein , A. N. Yzelman

The increasing scale and complexity of large language models (LLMs) pose significant inference latency challenges, primarily due to their autoregressive decoding paradigm characterized by the sequential nature of next-token prediction. By…

Computation and Language · Computer Science 2025-08-15 Keyu Chen , Zhifeng Shen , Daohai Yu , Haoqian Wu , Wei Wen , Jianfeng He , Ruizhi Qiao , Xing Sun

In this paper, we present PARTIME, a software library written in Python and based on PyTorch, designed specifically to speed up neural networks whenever data is continuously streamed over time, for both learning and inference. Existing…

Machine Learning · Computer Science 2022-12-05 Enrico Meloni , Lapo Faggi , Simone Marullo , Alessandro Betti , Matteo Tiezzi , Marco Gori , Stefano Melacci

This work focuses on accelerating the multiplication of a dense random matrix with a (fixed) sparse matrix, which is frequently used in sketching algorithms. We develop a novel scheme that takes advantage of blocking and recomputation…

Computational Engineering, Finance, and Science · Computer Science 2024-05-14 Tianyu Liang , Riley Murray , Aydın Buluç , James Demmel

We present new algorithms for the parallelization of Eulerian-Lagrangian interaction operations in the immersed boundary method. Our algorithms rely on two well-studied parallel primitives: key-value sort and segmented reduce. The use of…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-02 Andrew Kassen , Varun Shankar , Aaron L Fogelson

Integration over non-negative integrands is a central problem in machine learning (e.g. for model averaging, (hyper-)parameter marginalisation, and computing posterior predictive distributions). Bayesian Quadrature is a probabilistic…

Machine Learning · Statistics 2018-12-05 Ed Wagstaff , Saad Hamid , Michael Osborne

We propose a framework for training neural networks that are coupled with partial differential equations (PDEs) in a parallel computing environment. Unlike most distributed computing frameworks for deep neural networks, our focus is to…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-25 Kailai Xu , Weiqiang Zhu , Eric Darve

The rise of power-efficient embedded computers based on highly-parallel accelerators opens a number of opportunities and challenges for researchers and engineers, and paved the way to the era of edge computing. At the same time, advances in…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-13 Paolo Burgio , Gianluca Brilli

Hardware failures are a growing challenge for machine learning accelerators, many of which are based on systolic arrays. When a permanent hardware failure occurs in a systolic array, existing solutions include localizing and isolating the…

Machine Learning · Computer Science 2024-12-24 Youssef A. Ait Alama , Sampada Sakpal , Ke Wang , Razvan Bunescu , Avinash Karanth , Ahmed Louri

Splotch is a rendering algorithm for exploration and visual discovery in particle-based datasets coming from astronomical observations or numerical simulations. The strengths of the approach are production of high quality imagery and…

Instrumentation and Methods for Astrophysics · Physics 2016-09-23 Marzia Rivi , Claudio Gheller , Tim Dykes , Mel Krokos , Klaus Dolag

In this talk I discuss the general question of the portability of Molecular Dynamics codes for diffusive systems on parallel computers of the APE family. The intrinsic single precision arithmetics of the today available APE platforms does…

Biological Physics · Physics 2009-10-30 G. La Penna , S. Letardi , V. Minicozzi , S. Morante , G. C. Rossi , G. Salina

In parallel iterative applications, computational efficiency is essential for addressing large problems. Load imbalance is one of the major performance degradation factors of parallel applications. Therefore, distributing, cleverly, and as…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-18 Anthony Boulmier , Franck Raynaud , Nabil Abdennadher , Bastien Chopard

Despite decades of research, creating accurate, robust, and efficient lattice Boltzmann methods (LBM) on non-uniform grids with seamless GPU acceleration remains challenging. This work introduces a novel strategy to address this challenge…

Computational Physics · Physics 2026-01-06 Christophe Coreixas , Jonas Latt

The processor accelerators are effective because they are working not (completely) on principles of stored program computers. They use some kind of parallelism, and it is rather hard to program them effectively: a parallel architecture by…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-26 János Végh

Design of an efficient thread-safe concurrent data structure is a balancing act between its implementation complexity and performance. Lock-based concurrent data structures, which are relatively easy to derive from their sequential…

Programming Languages · Computer Science 2024-08-27 Callista Le , Kiran Gopinathan , Koon Wen Lee , Seth Gilbert , Ilya Sergey

Finite element analysis of solid mechanics is a foundational tool of modern engineering, with low-order finite element methods and assembled sparse matrices representing the industry standard for implicit analysis. We use performance models…

In view of the existing limitations of sequential computing, parallelization has emerged as an alternative in order to improve the speedup of numerical simulations. In the framework of evolutionary problems, space-time parallel methods…

Numerical Analysis · Mathematics 2025-02-13 Andrés Arrarás , Francisco J. Gaspar , Iñigo Jimenez-Ciga , Laura Portero

Neural PDE solvers offer a powerful tool for modeling complex dynamical systems, but often struggle with error accumulation over long time horizons and maintaining stability and physical consistency. We introduce a multiscale implicit…

Machine Learning · Computer Science 2025-06-06 Ruoxi Jiang , Xiao Zhang , Karan Jakhar , Peter Y. Lu , Pedram Hassanzadeh , Michael Maire , Rebecca Willett
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