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The paper presents investigations on the implementation and performance of the finite element numerical integration algorithm for first order approximations and three processor architectures, popular in scientific computing, classical CPU,…

数学软件 · 计算机科学 2016-05-25 Krzysztof Banaś , Filip Krużel , Jan Bielański

In typical black-box optimization applications, the available computational budget is often allocated to a single algorithm, typically chosen based on user preference with limited knowledge about the problem at hand or according to some…

神经与进化计算 · 计算机科学 2026-01-26 Catalin-Viorel Dinu , Diederick Vermetten , Carola Doerr

Option contracts can be valued by using the Black-Scholes equation, a partial differential equation with initial conditions. An exact solution for European style options is known. The computation time and the error need to be minimized…

计算工程、金融与科学 · 计算机科学 2014-02-12 Aishwarya B U , Mohammed Saaqib A , Rajashree H R , Vigasini B

The amazing advances being made in the fields of machine and deep learning are a highlight of the Big Data era for both enterprise and research communities. Modern applications require resources beyond a single node's ability to provide.…

This paper presents a hybrid CPU-GPU framework for solving combinatorial scheduling problems formulated as Integer Linear Programming (ILP). While scheduling underpins many optimization tasks in computing systems, solving these problems…

机器学习 · 计算机科学 2026-04-01 Mingju Liu , Jiaqi Yin , Alvaro Velasquez , Cunxi Yu

We investigate the performance characteristics of a numerically enhanced scalar product (dot) kernel loop that uses the Kahan algorithm to compensate for numerical errors, and describe efficient SIMD-vectorized implementations on recent…

性能 · 计算机科学 2019-02-19 Johannes Hofmann , Dietmar Fey , Jan Eitzinger , Georg Hager , Gerhard Wellein

With multi-core processors a ubiquitous building block of modern supercomputers, it is now past time to enable applications to embrace these developments in processor design. To achieve exascale performance, applications will need ways of…

分布式、并行与集群计算 · 计算机科学 2012-08-13 Michele Weiland , Lawrence Mitchell , Gerard Gorman , Stephan Kramer , Mark Parsons , James Southern

We discuss the use of both MPI and OpenMP in the teaching of senior undergraduate and junior graduate classes in parallel programming. We briefly introduce the OpenMP standard and discuss why we have chosen to use it in parallel programming…

分布式、并行与集群计算 · 计算机科学 2007-05-23 Yi Pan

This paper presents a novel way to predict options price for one day in advance, utilizing the method of Quasi-Reversibility for solving the Black-Scholes equation. The Black-Scholes equation solved forwards in time with Tikhonov…

偏微分方程分析 · 数学 2022-03-21 Mikhail V. Klibanov , Kirill V. Golubnichiy , Andrey V. Nikitin

In this paper, we evaluate the performance of various parallel optimization methods for Kernel Support Vector Machines on multicore CPUs and GPUs. In particular, we provide the first comparison of algorithms with explicit and implicit…

机器学习 · 计算机科学 2014-04-04 Stephen Tyree , Jacob R. Gardner , Kilian Q. Weinberger , Kunal Agrawal , John Tran

Error-Correcting Output Codes (ECOCs) offer a principled approach for combining simple binary classifiers into multiclass classifiers. In this paper, we investigate the problem of designing optimal ECOCs to achieve both nominal and…

机器学习 · 计算机科学 2020-11-03 Samarth Gupta , Saurabh Amin

Spatial computing architectures promise a major stride in performance and energy efficiency over the traditional load/store devices currently employed in large scale computing systems. The adoption of high-level synthesis (HLS) from…

分布式、并行与集群计算 · 计算机科学 2020-11-24 Johannes de Fine Licht , Maciej Besta , Simon Meierhans , Torsten Hoefler

Batched linear solvers play a vital role in computational sciences, especially in the fields of plasma physics and combustion simulations. With the imminent deployment of the Aurora Supercomputer and other upcoming systems equipped with…

分布式、并行与集群计算 · 计算机科学 2023-09-28 Phuong Nguyen , Pratik Nayak , Hartwig Anzt

We present a modern C++17-compatible thread pool implementation, built from scratch with high-performance scientific computing in mind. The thread pool is implemented as a single lightweight and self-contained class, and does not have any…

分布式、并行与集群计算 · 计算机科学 2025-12-29 Barak Shoshany

Nowadays, we are living in an era of extreme device heterogeneity. Despite the high variety of conventional CPU architectures, accelerator devices, such as GPUs and FPGAs, also appear in the foreground exploding the pool of available…

机器学习 · 计算机科学 2022-08-31 Petros Vavaroutsos , Ioannis Oroutzoglou , Dimosthenis Masouros , Dimitrios Soudris

High-level scripting languages are in many ways polar opposites to GPUs. GPUs are highly parallel, subject to hardware subtleties, and designed for maximum throughput, and they offer a tremendous advance in the performance achievable for a…

软件工程 · 计算机科学 2013-04-23 Andreas Klöckner , Nicolas Pinto , Bryan Catanzaro , Yunsup Lee , Paul Ivanov , Ahmed Fasih

Quilc is an open-source, optimizing compiler for gate-based quantum programs written in Quil or QASM, two popular quantum programming languages. The compiler was designed with attention toward NISQ-era quantum computers, specifically…

量子物理 · 物理学 2020-04-01 Robert S. Smith , Eric C. Peterson , Mark G. Skilbeck , Erik J. Davis

The use of local memory is important to improve the performance of OpenCL programs. However, its use may not always benefit performance, depending on various application characteristics, and there is no simple heuristic for deciding when to…

分布式、并行与集群计算 · 计算机科学 2014-12-23 Tianyi David Han , Tarek S. Abdelrahman

We present POLO --- a C++ library for large-scale parallel optimization research that emphasizes ease-of-use, flexibility and efficiency in algorithm design. It uses multiple inheritance and template programming to decompose algorithms into…

最优化与控制 · 数学 2018-10-09 Arda Aytekin , Martin Biel , Mikael Johansson

The usage of large language models (LLMs) has grown increasingly fragmented, with no single model dominating. Meanwhile, cloud providers offer a wide range of mid-tier and older-generation GPUs that enjoy better availability and deliver…

分布式、并行与集群计算 · 计算机科学 2026-05-07 Yixuan Mei , Zikun Li , Zixuan Chen , Shiqi Pan , Mengdi Wu , Xupeng Miao , Zhihao Jia , K. V. Rashmi