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A class of abstract nonlinear time-periodic evolution problems is considered which arise in electrical engineering and other scientific disciplines. An efficient solver is proposed for the systems arising after discretization in time based…

Numerical Analysis · Mathematics 2025-03-03 Herbert Egger , Andreas Schafelner

The high cost of sequential time integration is one major constraint that limits the speedup of a time-parallel algorithm like the Parareal algorithm due to the difficulty of coarsening time steps in a stiff numerical problem. To address…

Computational Physics · Physics 2025-03-06 Weifan Liu

We present a new software, HYPPO, that enables the automatic tuning of hyperparameters of various deep learning (DL) models. Unlike other hyperparameter optimization (HPO) methods, HYPPO uses adaptive surrogate models and directly accounts…

Many astrophysical simulations involve extreme dynamic range of timescales around 'special points' in the domain (e.g. black holes, stars, planets, disks, galaxies, shocks, mixing interfaces), where processes on small scales couple strongly…

Instrumentation and Methods for Astrophysics · Physics 2026-05-11 Philip F. Hopkins , Elias R. Most

Multiresolution Matrix Factorization (MMF) was recently introduced as a method for finding multiscale structure and defining wavelets on graphs/matrices. In this paper we derive pMMF, a parallel algorithm for computing the MMF…

Numerical Analysis · Computer Science 2015-07-17 Risi Kondor , Nedelina Teneva , Pramod K. Mudrakarta

Despite advancements in the areas of parallel and distributed computing, the complexity of programming on High Performance Computing (HPC) resources has deterred many domain experts, especially in the areas of machine learning and…

Scale-out parallel processing based on MPI is a 25-year-old standard with at least another decade of preceding history of enabling technologies in the High Performance Computing community. Newer frameworks such as MapReduce, Hadoop, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-18 Brandon L. Morris , Anthony Skjellum

Compound AI applications, which compose calls to ML models using a general-purpose programming language like Python, are widely used for a variety of user-facing tasks, from software engineering to enterprise automation, making their…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Stephen Mell , David Mell , Konstantinos Kallas , Steve Zdancewic , Osbert Bastani

This paper describes a massively parallel algebraic multigrid method based on non-smoothed aggregation. It is especially suited for solving heterogeneous elliptic problems as it uses a greedy heuristic algorithm for the aggregation that…

Numerical Analysis · Mathematics 2013-10-01 Markus Blatt , Olaf Ippisch , Peter Bastian

Many problems in computational science and engineering involve partial differential equations and thus require the numerical solution of large, sparse (non)linear systems of equations. Multigrid is known to be one of the most efficient…

Mathematical Software · Computer Science 2014-06-23 Harald Koestler , Christian Schmitt , Sebastian Kuckuk , Frank Hannig , Juergen Teich , Ulrich Ruede

The Apriori algorithm that mines frequent itemsets is one of the most popular and widely used data mining algorithms. Now days many algorithms have been proposed on parallel and distributed platforms to enhance the performance of Apriori…

Databases · Computer Science 2017-02-22 Sudhakar Singh , Rakhi Garg , P. K. Mishra

Trajectory data represent a trace of an object that changes its position in space over time. This kind of data is complex to handle and analyze, since it is generally produced in huge quantities, often prone to errors generated by the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-31 Salman Haidri , Yaksh J. Haranwala , Vania Bogorny , Chiara Renso , Vinicius Prado da Fonseca , Amilcar Soares

We present PyTorch Geometric Temporal a deep learning framework combining state-of-the-art machine learning algorithms for neural spatiotemporal signal processing. The main goal of the library is to make temporal geometric deep learning…

These lecture notes are designed to accompany an imaginary, virtual, undergraduate, one or two semester course on fundamentals of Parallel Computing as well as to serve as background and reference for graduate courses on High-Performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-02 Jesper Larsson Träff

We introduce pyGSL, a Python library that provides efficient implementations of state-of-the-art graph structure learning models along with diverse datasets to evaluate them on. The implementations are written in GPU-friendly ways, allowing…

Machine Learning · Computer Science 2022-11-08 Max Wasserman , Gonzalo Mateos

Algebraic Multigrid (AMG) methods are often robust and effective solvers for solving the large and sparse linear systems that arise from discretized PDEs and other problems, relying on heuristic graph algorithms to achieve their…

Numerical Analysis · Mathematics 2023-08-23 Tareq Zaman , Nicolas Nytko , Ali Taghibakhshi , Scott MacLachlan , Luke Olson , Matthew West

Parallel-in-time (PinT) techniques have been proposed to solve systems of time-dependent differential equations by parallelizing the temporal domain. Among them, Parareal computes the solution sequentially using an inaccurate (fast) solver,…

Computation · Statistics 2024-11-12 Guglielmo Gattiglio , Lyudmila Grigoryeva , Massimiliano Tamborrino

Dealing with missing values and incomplete time series is a labor-intensive, tedious, inevitable task when handling data coming from real-world applications. Effective spatio-temporal representations would allow imputation methods to…

Machine Learning · Computer Science 2022-02-11 Andrea Cini , Ivan Marisca , Cesare Alippi

The accurate assembly of the system matrix is an important step in any code that solves partial differential equations on a mesh. We either explicitly set up a matrix, or we work in a matrix-free environment where we have to be able to…

Mathematical Software · Computer Science 2020-06-19 Charles D. Murray , Tobias Weinzierl

In response to a concerning trend of selectively emphasizing metrics in medical image segmentation (MIS) studies, we introduce \texttt{seg-metrics}, an open-source Python package for standardized MIS model evaluation. Unlike existing…

Computer Vision and Pattern Recognition · Computer Science 2024-03-14 Jingnan Jia , Marius Staring , Berend C. Stoel