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We study the question of whether parallelization in the exploration of the feasible set can be used to speed up convex optimization, in the local oracle model of computation. We show that the answer is negative for both deterministic and…

最优化与控制 · 数学 2019-06-21 Jelena Diakonikolas , Cristóbal Guzmán

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…

分布式、并行与集群计算 · 计算机科学 2022-06-14 Quan Do , Jon Ivar Kristiansen , Krishna Agarwal , Phuong Hoai Ha

In this paper, we report a reimplementation of the core algorithms of relativistic coupled cluster theory aimed at modern heterogeneous high-performance computational infrastructures. The code is designed for efficient parallel execution on…

In this paper, we propose a parallel optimization method for electronic structure calculations based on a single orbital-updating approximation. It is shown by our numerical experiments that the method is efficient and reliable for atomic…

数值分析 · 数学 2015-11-20 Xiaoying Dai , Zhuang Liu , Xin Zhang , Aihui Zhou

We describe an asynchronous parallel stochastic proximal coordinate descent algorithm for minimizing a composite objective function, which consists of a smooth convex function plus a separable convex function. In contrast to previous…

最优化与控制 · 数学 2015-12-14 Ji Liu , Stephen J. Wright

Quantum algorithms for computational linear algebra promise up to exponential speedups for applications such as simulation and regression, making them prime candidates for hardware realization. But these algorithms execute in a model that…

编程语言 · 计算机科学 2026-05-14 Charles Yuan

We present a space-time multiscale method for a parabolic model problem with an underlying coefficient that may be highly oscillatory with respect to both the spatial and the temporal variables. The method is based on the framework of the…

数值分析 · 数学 2021-12-13 Per Ljung , Roland Maier , Axel Målqvist

Computation of a signal's estimated covariance matrix is an important building block in signal processing, e.g., for spectral estimation. Each matrix element is a sum of products of elements in the input matrix taken over a sliding window.…

数据结构与算法 · 计算机科学 2013-03-12 Oded Green , Lior David , Ami Galperin , Yitzhak Birk

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…

计算工程、金融与科学 · 计算机科学 2026-03-04 Philip Freese , Sebastian Götschel , Thibaut Lunet , Daniel Ruprecht , Martin Schreiber

Combinatorial optimization problems are crucial in industry. However, many COPs are NP-hard, causing the search space to grow exponentially with problem size and rendering large-scale instances computationally intractable. Conventional…

新兴技术 · 计算机科学 2026-02-27 Eiji Kawase , Shuta Kikuchi , Hideaki Tamai , Shu Tanaka

Targeting simulations on parallel hardware architectures, this paper presents computational kernels for efficient computations in mortar finite element methods. Mortar methods enable a variationally consistent imposition of coupling…

数值分析 · 数学 2023-08-25 Matthias Mayr , Alexander Popp

We consider a new class of Parareal algorithms, which use ideas from localized reduced basis methods to construct the coarse solver from spectral approximations of the transfer operators mapping initial values for a given time interval to…

数值分析 · 数学 2025-08-13 Martin J. Gander , Mario Ohlberger , Stephan Rave

High precision atomic data is indispensable for experiments involving studies of fundamental interactions, astrophysics, atomic clocks, plasma science, and others. We develop new parallel atomic structure codes and explore the difficulties…

原子物理 · 物理学 2021-03-11 C. Cheung , M. S. Safronova , S. G. Porsev

Multivariate partial fractioning is a powerful tool for simplifying rational function coefficients in scattering amplitude computations. Since current research problems lead to large sets of complicated rational functions, performance of…

高能物理 - 唯象学 · 物理学 2022-12-19 Dominik Bendle , Janko Boehm , Murray Heymann , Rourou Ma , Mirko Rahn , Lukas Ristau , Marcel Wittmann , Zihao Wu , Yang Zhang

OpenCL is a standard for parallel programming of heterogeneous systems. The benefits of a common programming standard are clear; multiple vendors can provide support for application descriptions written according to the standard, thus…

分布式、并行与集群计算 · 计算机科学 2016-11-23 Pekka Jääskeläinen , Carlos Sánchez de La Lama , Erik Schnetter , Kalle Raiskila , Jarmo Takala , Heikki Berg

Many forms of programmable matter have been proposed for various tasks. We use an abstract model of self-organizing particle systems for programmable matter which could be used for a variety of applications, including smart paint and…

新兴技术 · 计算机科学 2017-10-24 Alexandra Porter , Andréa W. Richa

This paper presents the first generic bi-objective binary linear branch-and-cut algorithm. Studying the impact of valid inequalities in solution and objective spaces, two cutting frameworks are proposed. The multi-point separation problem…

离散数学 · 计算机科学 2024-10-14 Pierre Fouilhoux , Lucas Létocart , Yue Zhang

Context. A novel high-performance exact pair counting toolkit called Fast Correlation Function Calculator (FCFC) is presented, which is publicly available at https://github.com/cheng-zhao/FCFC. Aims. As the rapid growth of modern…

天体物理仪器与方法 · 物理学 2023-04-05 Cheng Zhao

We derive an automatic procedure for generating a set of highly localized, non-orthogonal orbitals for linear scaling quantum Monte Carlo calculations. We demonstrate the advantage of these orbitals in calculations of the total energy of…

材料科学 · 物理学 2007-05-23 F. A. Reboredo , A. J. Williamson

Continual learning requires incremental compatibility with a sequence of tasks. However, the design of model architecture remains an open question: In general, learning all tasks with a shared set of parameters suffers from severe…

机器学习 · 计算机科学 2022-07-15 Liyuan Wang , Xingxing Zhang , Qian Li , Jun Zhu , Yi Zhong