English
Related papers

Related papers: Advancing the distributed Multi-GPU ChASE library …

200 papers

Distributed training techniques have been widely deployed in large-scale deep neural networks (DNNs) training on dense-GPU clusters. However, on public cloud clusters, due to the moderate inter-connection bandwidth between instances,…

We present an efficient method for computing dominant eigenvalues of large, nonsymmetric, diagonalizable matrices based on an adaptive block Lanczos algorithm combined with Chebyshev polynomial filtering. The proposed approach improves…

Numerical Analysis · Mathematics 2025-08-13 M. El Guide , K. Jbilou , K. Lachhab

This paper discusses parGeMSLR, a C++/MPI software library for the solution of sparse systems of linear algebraic equations via preconditioned Krylov subspace methods in distributed-memory computing environments. The preconditioner…

Mathematical Software · Computer Science 2022-05-09 Tianshi Xu , Vassilis Kalantzis , Ruipeng Li , Yuanzhe Xi , Geoffrey Dillon , Yousef Saad

Regional hydrology studies are often supported by high resolution simulations of subsurface flow that require expensive and extensive computations. Efficient usage of the latest high performance parallel computing systems becomes a…

Mathematical Software · Computer Science 2017-10-04 Carsten Burstedde , Jose A. Fonseca , Stefan Kollet

We present cuRAMSES, a suite of advanced domain decomposition strategies and algorithmic optimizations for the ramses adaptive mesh refinement (AMR) code, designed to overcome the communication, memory, and solver bottlenecks inherent in…

Astrophysics of Galaxies · Physics 2026-04-08 Juhan Kim

Quantum approximate optimization is one of the promising candidates for useful quantum computation, particularly in the context of finding approximate solutions to Quadratic Unconstrained Binary Optimization (QUBO) problems. However, the…

High-quality ordinary differential equation (ODE) solver libraries have a long history, going back to the 1970s. Over the past several years we have implemented, on top of the PETSc linear and nonlinear solver package, a new…

Numerical Analysis · Mathematics 2018-06-06 Shrirang Abhyankar , Jed Brown , Emil M. Constantinescu , Debojyoti Ghosh , Barry F. Smith , Hong Zhang

Many important real-world applications, such as System Identification with Gaussian Processes, involve solving linear systems with symmetric positive-definite matrices. The iterative CG method and direct solvers based on the Cholesky…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-14 Tim Thüring , Alexander Strack , Dirk Pflüger

The rapidly evolving landscape of AI and machine learning workloads has widened the gap between high-level domain operations and efficient hardware utilization. Achieving near-peak performance still demands deep hardware expertise-experts…

Machine Learning · Computer Science 2025-11-19 Arun Thangamani , Md Asghar Ahmad Shahid , Adam Siemieniuk , Rolf Morel , Renato Golin , Alexander Heinecke

We present a new approach for nonlocal image denoising, based around the application of an unnormalized extended Gaussian ANOVA kernel within a bilevel optimization algorithm. A critical bottleneck when solving such problems for…

Numerical Analysis · Mathematics 2025-05-14 Andrés Miniguano-Trujillo , John W. Pearson , Benjamin D. Goddard

As large language models (LLMs) continue to grow in size, distributed inference has become increasingly important. Model-parallel strategies must now efficiently scale not only across multiple GPUs but also across multiple nodes. In this…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-21 Prajwal Singhania , Siddharth Singh , Lannie Dalton Hough , Akarsh Srivastava , Harshitha Menon , Charles Fredrick Jekel , Abhinav Bhatele

Chebyshev Filtered Subspace Iteration (ChFSI) is widely used for computing a small subset of extremal eigenpairs from large matrices, particularly when the eigenpairs must be computed repeatedly as the system matrix evolves within an outer…

Computational Physics · Physics 2026-03-18 Nikhil Kodali , Kartick Ramakrishnan , Phani Motamarri

We investigate the potential of Graphics Processing Units (GPUs) to solve large-scale nonlinear programs with a dynamic structure. Using ExaModels, a GPU-accelerated automatic differentiation tool, and the interior-point solver MadNLP, we…

Optimization and Control · Mathematics 2024-09-13 François Pacaud , Sungho Shin

HipMCL is a high-performance distributed memory implementation of the popular Markov Cluster Algorithm (MCL) and can cluster large-scale networks within hours using a few thousand CPU-equipped nodes. It relies on sparse matrix computations…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-26 Oguz Selvitopi , Md Taufique Hussain , Ariful Azad , Aydın Buluç

Pauli Correlation Encoding (PCE) is as a qubit-efficient variational approach to combinatorial optimization problems. The method offers a polynomial reduction in qubit count and a super-polynomial suppression of barren plateaus. Here, we…

Matrix factorizations are among the most important building blocks of scientific computing. State-of-the-art libraries, however, are not communication-optimal, underutilizing current parallel architectures. We present novel algorithms for…

Lattice quantum chromodynamics simulations in nuclear physics have benefited from a tremendous number of algorithmic advances such as multigrid and eigenvector deflation. These improve the time to solution but do not alleviate the intrinsic…

High Energy Physics - Lattice · Physics 2018-08-09 M. A. Clark , Alexei Strelchenko , Alejandro Vaquero , Mathias Wagner , Evan Weinberg

Scaling to arbitrarily large bundle adjustment problems requires data and compute to be distributed across multiple devices. Centralized methods in prior works are only able to solve small or medium size problems due to overhead in…

Computer Vision and Pattern Recognition · Computer Science 2023-08-10 Taosha Fan , Joseph Ortiz , Ming Hsiao , Maurizio Monge , Jing Dong , Todd Murphey , Mustafa Mukadam

Recent self-supervised models have demonstrated equal or better performance than supervised methods, opening for AI systems to learn visual representations from practically unlimited data. However, these methods are typically…

Computer Vision and Pattern Recognition · Computer Science 2022-10-10 Robin Karlsson , Tomoki Hayashi , Keisuke Fujii , Alexander Carballo , Kento Ohtani , Kazuya Takeda

We study Chebyshev filter diagonalization as a tool for the computation of many interior eigenvalues of very large sparse symmetric matrices. In this technique the subspace projection onto the target space of wanted eigenvectors is…