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We give an overview of the theoretical results for matrix block-recursive algorithms in commutative domains and present the results of experiments that we conducted with new parallel programs based on these algorithms on a supercomputer…

Symbolic Computation · Computer Science 2019-03-12 Gennadi Malaschonok , Evgeni Ilchenko

A finite element method is presented to compute time harmonic microwave fields in three dimensional configurations. Nodal-based finite elements have been coupled with an absorbing boundary condition to solve open boundary problems. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Christian Vollaire , Laurent Nicolas , Alain Nicolas

Multiple signal classification algorithm (MUSICAL) provides a super-resolution microscopy method. In the previous research, MUSICAL has enabled data-parallelism well on a desktop computer or a Linux-based server. However, the running time…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-14 Quan Do , Jon Ivar Kristiansen , Krishna Agarwal , Phuong Hoai Ha

This paper discusses the potential of graphics processing units (GPUs) in high-dimensional optimization problems. A single GPU card with hundreds of arithmetic cores can be inserted in a personal computer and dramatically accelerates many…

Computation · Statistics 2015-03-13 Hua Zhou , Kenneth Lange , Marc A. Suchard

In recent years, a new kind of accelerated hardware has gained popularity in the Artificial Intelligence (AI) and Machine Learning (ML) communities which enables extremely high-performance tensor contractions in reduced precision for deep…

Computational Physics · Physics 2024-05-01 Adela Habib , Joshua Finkelstein , Anders M. N. Niklasson

This study explores strategies for academic researchers to optimize computational resources within limited budgets, focusing on building small, efficient computing clusters. It delves into the comparative costs of purchasing versus renting…

Hardware Architecture · Computer Science 2024-08-29 Ruilong Wu , Yisu Wang , Dirk Kutscher

The Map-Reduce computing framework rose to prominence with datasets of such size that dozens of machines on a single cluster were needed for individual jobs. As datasets approach the exabyte scale, a single job may need distributed…

Data Structures and Algorithms · Computer Science 2016-10-31 Riley Murray , Samir Khuller , Megan Chao

We implement a master-slave parallel genetic algorithm (PGA) with a bespoke log-likelihood fitness function to identify emergent clusters within price evolutions. We use graphics processing units (GPUs) to implement a PGA and visualise the…

Computational Finance · Quantitative Finance 2016-02-17 Dieter Hendricks , Diane Wilcox , Tim Gebbie

Planning under uncertainty is critical for robust robot performance in uncertain, dynamic environments, but it incurs high computational cost. State-of-the-art online search algorithms, such as DESPOT, have vastly improved the computational…

Artificial Intelligence · Computer Science 2018-02-20 Panpan Cai , Yuanfu Luo , David Hsu , Wee Sun Lee

The multi-resolution approximation (MRA) of Gaussian processes was recently proposed to conduct likelihood-based inference for massive spatial data sets. An advantage of the methodology is that it can be parallelized. We implemented the MRA…

Computation · Statistics 2019-05-07 Huang Huang , Lewis R. Blake , Dorit M. Hammerling

As the data size in Machine Learning fields grows exponentially, it is inevitable to accelerate the computation by utilizing the ever-growing large number of available cores provided by high-performance computing hardware. However, existing…

Machine Learning · Computer Science 2021-04-23 Kun Li , Liang Yuan , Yunquan Zhang , Gongwei Chen

Gaussian processes (GPs) are flexible non-parametric models, with a capacity that grows with the available data. However, computational constraints with standard inference procedures have limited exact GPs to problems with fewer than about…

In this work, we optimize speculative sampling for parallel hardware accelerators to improve sampling speed. We notice that substantial portions of the intermediate matrices necessary for speculative sampling can be computed concurrently.…

Machine Learning · Computer Science 2024-10-04 Dominik Wagner , Seanie Lee , Ilja Baumann , Philipp Seeberger , Korbinian Riedhammer , Tobias Bocklet

The development of cluster computing frameworks has allowed practitioners to scale out various statistical estimation and machine learning algorithms with minimal programming effort. This is especially true for machine learning problems…

Machine Learning · Statistics 2019-06-24 Robin Vogel , Aurélien Bellet , Stephan Clémençon , Ons Jelassi , Guillaume Papa

The approximate minimum degree algorithm is widely used before numerical factorization to reduce fill-in for sparse matrices. While considerable attention has been given to the numerical factorization process, less focus has been placed on…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-26 Yen-Hsiang Chang , Aydın Buluç , James Demmel

In this work we propose an efficient parallelization of multiple-precision Taylor series method with variable stepsize and fixed order. For given level of accuracy the optimal variable stepsize determines higher order of the method than in…

Numerical Analysis · Mathematics 2021-10-20 I. Hristov , R. Hristova , S. Dimova , P. Armyanov , N. Shegunov , I. Puzynin , T. Puzynina , Z. Sharipov , Z. Tukhliev

Matrix multiplication is a foundational operation in scientific computing and machine learning, yet its computational complexity makes it a significant bottleneck for large-scale applications. The shift to parallel architectures, primarily…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-30 Mufakir Qamar Ansari , Mudabir Qamar Ansari

In cryptanalysis, solving the discrete logarithm problem (DLP) is key to assessing the security of many public-key cryptosystems. The index-calculus methods, that attack the DLP in multiplicative subgroups of finite fields, require solving…

Cryptography and Security · Computer Science 2014-12-05 Hamza Jeljeli

Delaunay Triangulation(DT) is one of the important geometric problems that is used in various branches of knowledge such as computer vision, terrain modeling, spatial clustering and networking. Kinetic data structures have become very…

Computational Geometry · Computer Science 2023-08-15 Nazanin Hadiniya , Mohammad Ghodsi

A new algorithm for Monte Carlo calculation of the double exchange model is studied. The algorithm is commonly applicable to wide classes of strongly correlated electron systems which involve itinerant electrons coupled with…

Strongly Correlated Electrons · Physics 2009-11-07 Nobuo Furukawa , Yukitoshi Motome , Hisaho Nakata
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