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We investigate the parallel performance of Parallel Spectral Deferred corrections, a numerical approach that provides small-scale parallelism for the numerical solution of initial value problems. The scheme is applied to the shallow-water…

Computational Engineering, Finance, and Science · Computer Science 2026-03-04 Philip Freese , Sebastian Götschel , Thibaut Lunet , Daniel Ruprecht , Martin Schreiber

Tensor datasets (two-, three-, or higher-dimensional) are fundamental to many scientific fields utilizing imaging or simulation technologies. Advances in these methods have led to ever-increasing data sizes and, consequently, interest and…

Graphics · Computer Science 2025-10-01 Dominik Drees , Benjamin Risse

Test-Time Scaling (TTS) enhances the reasoning capabilities of large language models by allocating additional inference compute to explore the solution space. However, existing parallel TTS methods typically keep branches isolated during…

Computation and Language · Computer Science 2026-05-27 Xinglin Wang , Hao Lin , Shaoxiong Feng , Peiwen Yuan , Yiwei Li , Jiayi Shi , Yueqi Zhang , Chuyi Tan , Ji Zhang , Boyuan Pan , Yao Hu , Kan Li

Connected Component Labeling (CCL) is an important step in pattern recognition and image processing. It assigns labels to the pixels such that adjacent pixels sharing the same features are assigned the same label. Typically, CCL requires…

Data Structures and Algorithms · Computer Science 2016-06-21 Siddharth Gupta , Diana Palsetia , Md. Mostofa Ali Patwary , Ankit Agrawal , Alok Choudhary

The partitioned global address space has bridged the gap between shared and distributed memory, and with this bridge comes the ability to adapt shared memory concepts, such as non-blocking programming, to distributed systems such as…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-30 Garvit Dewan , Louis Jenkins

The Canonical Polyadic (CP) tensor decomposition is a well-known method for interpretable analysis of high-dimensional data. Recently, the Generalized CP method (GCP) was introduced by Hong and Kolda to allow for flexible choice of the loss…

Numerical Analysis · Mathematics 2026-05-21 Jeremy M. Myers , Eric T. Phipps

Python is the de-facto language for software development in artificial intelligence (AI). Commonly used libraries, such as PyTorch and TensorFlow, rely on parallelization built into their BLAS backends to achieve speedup on CPUs. However,…

Machine Learning · Computer Science 2025-05-02 Maksim Helmann , Alexander Strack , Dirk Pflüger

Linear-scaling electronic-structure techniques, also called O(N) techniques, rely heavily on the multiplication of sparse matrices, where the sparsity arises from spatial cut-offs. In order to treat very large systems, the calculations must…

Materials Science · Physics 2009-10-31 D. R. Bowler , T. Miyazaki , M. J. Gillan

In this paper, we propose Neural Spectrum Decomposition, a generic decomposition framework for dataset distillation. Unlike previous methods, we consider the entire dataset as a high-dimensional observation that is low-rank across all…

Computer Vision and Pattern Recognition · Computer Science 2024-08-30 Shaolei Yang , Shen Cheng , Mingbo Hong , Haoqiang Fan , Xing Wei , Shuaicheng Liu

The utilization of statistical machine translation (SMT) has grown enormously over the last decade, many using open-source software developed by the NLP community. As commercial use has increased, there is need for software that is…

Computation and Language · Computer Science 2016-10-20 Hieu Hoang , Nikolay Bogoychev , Lane Schwartz , Marcin Junczys-Dowmunt

Currently, the size of scientific data is growing at an unprecedented rate. Data in the form of tensors exhibit high-order, high-dimensional, and highly sparse features. Although tensor-based analysis methods are very effective, the large…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-13 Zixuan Li

High-dimensional data has become ubiquitous across the sciences but presents computational and statistical challenges. A common approach to addressing these challenges is through sparsity. In this paper, we introduce a new concept of…

Statistics Theory · Mathematics 2025-09-03 Ali Mohades , Johannes Lederer

Tensor decomposition (TD) is an important method for extracting latent information from high-dimensional (multi-modal) sparse data. This study presents a novel framework for accelerating fundamental TD operations on massively parallel GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-29 Andy Nguyen , Ahmed E. Helal , Fabio Checconi , Jan Laukemann , Jesmin Jahan Tithi , Yongseok Soh , Teresa Ranadive , Fabrizio Petrini , Jee W. Choi

Recent progress of deep image classification models has provided great potential to improve state-of-the-art performance in related computer vision tasks. However, the transition to semantic segmentation is hampered by strict memory…

Computer Vision and Pattern Recognition · Computer Science 2019-05-15 Ivan Krešo , Josip Krapac , Siniša Šegvić

Compactly expressing large-scale datasets through Multivariate Functional Approximations (MFA) can be critically important for analysis and visualization to drive scientific discovery. Tackling such problems requires scalable data…

Numerical Analysis · Mathematics 2022-10-14 Vijay S. Mahadevan , David Lenz , Iulian Grindeanu , Thomas Peterka

We describe an efficient parallel implementation of the selected inversion algorithm for distributed memory computer systems, which we call \texttt{PSelInv}. The \texttt{PSelInv} method computes selected elements of a general sparse matrix…

Numerical Analysis · Mathematics 2015-06-01 Mathias Jacquelin , Lin Lin , Chao Yang

High-performance sparse matrix-matrix (SpMM) multiplication is paramount for science and industry, as the ever-increasing sizes of data prohibit using dense data structures. Yet, existing hardware, such as Tensor Cores (TC), is ill-suited…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-22 Patrik Okanovic , Grzegorz Kwasniewski , Paolo Sylos Labini , Maciej Besta , Flavio Vella , Torsten Hoefler

An increasing number of data science and machine learning problems rely on computation with tensors, which better capture the multi-way relationships and interactions of data than matrices. When tapping into this critical advantage, a key…

Machine Learning · Statistics 2023-02-23 Harry Dong , Tian Tong , Cong Ma , Yuejie Chi

Tensor programs often need to process large tensors (vectors, matrices, or higher order tensors) that require a specialized storage format for their memory layout. Several such layouts have been proposed in the literature, such as the…

Databases · Computer Science 2022-10-13 Maximilian Schleich , Amir Shaikhha , Dan Suciu

This paper presents a comparison of OpenMP and OpenCL based on the parallel implementation of algorithms from various fields of computer applications. The focus of our study is on the performance of benchmark comparing OpenMP and OpenCL. We…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-11-12 Krishnahari Thouti , S. R. Sathe
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