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We demonstrate a high-performance vendor-agnostic method for massively parallel solving of ensembles of ordinary differential equations (ODEs) and stochastic differential equations (SDEs) on GPUs. The method is integrated with a widely used…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-20 Utkarsh Utkarsh , Valentin Churavy , Yingbo Ma , Tim Besard , Prakitr Srisuma , Tim Gymnich , Adam R. Gerlach , Alan Edelman , George Barbastathis , Richard D. Braatz , Christopher Rackauckas

This paper introduces a novel CUDA-enabled PyTorch-based framework designed for the gradient-based optimization of such reconfigurable electromagnetic structures with electrically tunable parameters. Traditional optimization techniques for…

Computational Physics · Physics 2025-11-25 Johannes Müller , Dennis Philipp , Matthias Günther

The growing popularity of generative flow networks (GFlowNets or GFNs) from a range of researchers with diverse backgrounds and areas of expertise necessitates a library that facilitates the testing of new features (e.g., training losses…

Machine Learning · Computer Science 2026-03-23 Joseph D. Viviano , Omar G. Younis , Sanghyeok Choi , Victor Schmidt , Yoshua Bengio , Salem Lahlou

Deep Learning (DL) libraries, such as PyTorch, are widely used for building and deploying DL models on various hardware platforms. Meanwhile, they are found to contain bugs that lead to incorrect calculation results and cause issues like…

Software Engineering · Computer Science 2025-06-10 Xiaoyuan Xie , Yan Song , Songqiang Chen , Jinfu Chen

This paper presents TorchNWP, a compilation library tool for the efficient coupling of artificial intelligence components and traditional numerical models. It aims to address the issues of poor cross-language compatibility, insufficient…

Mathematical Software · Computer Science 2026-03-19 Sa Xiao , Hao Jing , Honglu Sun , Haoyu Li

Sparse canonical correlation analysis (CCA) is a useful statistical tool to detect latent information with sparse structures. However, sparse CCA works only for two datasets, i.e., there are only two views or two distinct objects. To…

Machine Learning · Computer Science 2020-04-24 Jia Cai , Kexin Lv , Junyi Huo , Xiaolin Huang , Jie Yang

This work presents a first-of-its-kind graphical user interface (GUI)-based simulator developed using MATLAB App designer for the comprehensive analysis of sparse linear arrays (SLAs) in the difference coarray (DCA) domain. Sparse sensor…

Signal Processing · Electrical Eng. & Systems 2026-04-28 Ashish Patwari , Ananya Pandey , Aditya Dabade , Priyadarshini Raiguru

As hardware architectures are evolving in the push towards exascale, developing Computational Science and Engineering (CSE) applications depend on performance portable approaches for sustainable software development. This paper describes…

SOL is an open-source library for scalable online learning algorithms, and is particularly suitable for learning with high-dimensional data. The library provides a family of regular and sparse online learning algorithms for large-scale…

Machine Learning · Computer Science 2016-10-31 Yue Wu , Steven C. H. Hoi , Chenghao Liu , Jing Lu , Doyen Sahoo , Nenghai Yu

This paper describes a software package called EVSL (for EigenValues Slicing Library) for solving large sparse real symmetric standard and generalized eigenvalue problems. As its name indicates, the package exploits spectrum slicing, a…

Numerical Analysis · Mathematics 2018-02-15 Ruipeng Li , Yuanzhe Xi , Lucas Erlandson , Yousef Saad

We give a new theoretical tool to solve sparse systems with finitely many solutions. It is based on toric varieties and basic linear algebra; eigenvalues, eigenvectors and coefficient matrices. We adapt Eigenvalue theorem and Eigenvector…

Algebraic Geometry · Mathematics 2015-08-07 César Massri

Software packages like TensorFlow and PyTorch are designed to support linear algebra operations, and their speed and usability determine their success. However, by prioritising speed, they often neglect memory requirements. As a…

Machine Learning · Computer Science 2022-06-29 Artem Artemev , Tilman Roeder , Mark van der Wilk

Dijkstra observed that verifying correctness of a program is difficult and conjectured that derivation of a program hand-in-hand with its proof of correctness was the answer. We illustrate this goal-oriented approach by applying it to the…

Mathematical Software · Computer Science 2017-10-13 Devangi N. Parikh , Maggie E. Myers , Robert A. van de Geijn

We introduce SpDISTAL, a compiler for sparse tensor algebra that targets distributed systems. SpDISTAL combines separate descriptions of tensor algebra expressions, sparse data structures, data distribution, and computation distribution.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-29 Rohan Yadav , Alex Aiken , Fredrik Kjolstad

Distributed training of large models consumes enormous computation resources and requires substantial engineering efforts to compose various training techniques. This paper presents SimpleFSDP, a PyTorch-native compiler-based Fully Sharded…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-07 Ruisi Zhang , Tianyu Liu , Will Feng , Andrew Gu , Sanket Purandare , Wanchao Liang , Francisco Massa

Sparse tensors are rapidly becoming critical components of modern deep learning workloads. However, developing high-performance sparse operators can be difficult and tedious, and existing vendor libraries cannot satisfy the escalating…

Machine Learning · Computer Science 2023-02-22 Zihao Ye , Ruihang Lai , Junru Shao , Tianqi Chen , Luis Ceze

Machine learning (ML) workloads launch hundreds to thousands of short-running GPU kernels per iteration. With GPU compute throughput growing rapidly, CPU-side launch latency of kernels is emerging as a bottleneck. CUDA Graphs promise to…

Machine Learning · Computer Science 2025-12-24 Abhishek Ghosh , Ajay Nayak , Ashish Panwar , Arkaprava Basu

A graphical model is a multivariate (potentially very high dimensional) probabilistic model, which is formed by combining lower dimensional components. Inference (computation of conditional probabilities) is based on message passing…

Computation · Statistics 2021-06-03 Mads Lindskou , Søren Højsgaard , Poul Svante Eriksen , Torben Tvedebrink

In this paper, we introduce ChemicalX, a PyTorch-based deep learning library designed for providing a range of state of the art models to solve the drug pair scoring task. The primary objective of the library is to make deep drug pair…

Sparse linear algebra is crucial in many application domains, but challenging to handle efficiently in both software and hardware, with one- and two-sided operand sparsity handled with distinct approaches. In this work, we enhance an…

Hardware Architecture · Computer Science 2023-10-03 Paul Scheffler , Florian Zaruba , Fabian Schuiki , Torsten Hoefler , Luca Benini