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We present a new algorithm for solving linear-quadratic regulator (LQR) problems with linear equality constraints, also known as constrained LQR (CLQR) problems. Our method's sequential runtime is linear in the number of stages and…

最优化与控制 · 数学 2024-08-06 João Sousa-Pinto , Dominique Orban

Combinatorial optimization problems are ubiquitous in industrial applications. However, finding optimal or close-to-optimal solutions can often be extremely hard. Because some of these problems can be mapped to the ground-state search of…

量子物理 · 物理学 2025-09-04 Junpeng Hou , Amin Barzegar , Helmut G. Katzgraber

We investigate the global scheduling of sporadic, implicit deadline, real-time task systems on multiprocessor platforms. We provide a task model which integrates job parallelism. We prove that the time-complexity of the feasibility problem…

操作系统 · 计算机科学 2008-05-22 S. Collette , L. Cucu , J. Goossens

Stochastic algorithms are efficient approaches to solving machine learning and optimization problems. In this paper, we propose a general framework called Splash for parallelizing stochastic algorithms on multi-node distributed systems.…

机器学习 · 计算机科学 2015-09-24 Yuchen Zhang , Michael I. Jordan

Finding an energy minimum in the Ising model is an exemplar objective, associated with many combinatorial optimization problems, that is computationally hard in general, but occurs in all areas of modern science. There are several numerical…

量子物理 · 物理学 2019-07-17 A. Yavorsky , L. A. Markovich , E. A. Polyakov , A. N. Rubtsov

Dualization is a key discrete enumeration problem. It is not known whether or not this problem is polynomial-time solvable. Asymptotically optimal dualization algorithms are the fastest among the known dualization algorithms, which is…

离散数学 · 计算机科学 2016-06-01 Elena V. Djukova , Andrey G. Nikiforov , Petr A. Prokofyev

This paper describes an algorithm for selecting parameter values (e.g. temperature values) at which to measure equilibrium properties with Parallel Tempering Monte Carlo simulation. Simple approaches to choosing parameter values can lead to…

其他凝聚态物理 · 物理学 2015-05-18 Firas Hamze , Neil Dickson , Kamran Karimi

We propose a new asynchronous parallel block-descent algorithmic framework for the minimization of the sum of a smooth nonconvex function and a nonsmooth convex one, subject to both convex and nonconvex constraints. The proposed framework…

最优化与控制 · 数学 2018-04-02 Loris Cannelli , Francisco Facchinei , Vyacheslav Kungurtsev , Gesualdo Scutari

We present two types of meta-algorithm that can greatly improve the accuracy of existing algorithms for integrating the equations of motion of dynamical systems. The first meta-algorithm takes an integrator that is time-symmetric only for…

天体物理学 · 物理学 2007-05-23 Piet Hut , Yoko Funato , Eiichiro Kokubo , Junichiro Makino , Steve McMillan

Various combinatorial optimization NP-hard problems can be reduced to finding the minimizer of an Ising model, which is a discrete mathematical model. It is an intellectual challenge to develop some mathematical tools or algorithms for…

最优化与控制 · 数学 2023-12-01 Bowen Liu , Kaizhi Wang , Dongmei Xiao , Zhan Yu

A new technique is demonstrated for carrying out exact positive-P phase-space simulations of the coherent Ising machine quantum computer. By suitable design of the coupling matrix, general hard optimization problems can be solved. Here,…

量子物理 · 物理学 2022-02-09 Simon Kiesewetter , Peter D Drummond

Decoupling approach presents a novel solution/alternative to the highly time-consuming fluid-thermal-structural simulation procedures when thermal effects and resultant displacements on machine tools are analyzed. Using high dimensional…

分布式、并行与集群计算 · 计算机科学 2019-10-31 Janine Glänzel , Andreas Naumann , Tharun Suresh Kumar

Parallel dataflow systems are a central part of most analytic pipelines for big data. The iterative nature of many analysis and machine learning algorithms, however, is still a challenge for current systems. While certain types of bulk…

数据库 · 计算机科学 2012-08-02 Stephan Ewen , Kostas Tzoumas , Moritz Kaufmann , Volker Markl

We perform a numerical investigation of the \emph{shaken dynamics}, a parallel Markovian dynamics for spin systems with local interaction and whose transition probabilities depend on two parameters, $q$ and $J$, that tune the geometry of…

计算物理 · 物理学 2019-08-21 Roberto D'Autilia , Louis Nantenaina Andrianaivo , Alessio Troiani

Today, very large amounts of data are produced and stored in all branches of society including science. Mining these data meaningfully has become a considerable challenge and is of the broadest possible interest. The size, both in numbers…

分布式、并行与集群计算 · 计算机科学 2020-06-11 Andreas Vitalis

We present a technique designed for parallelizing large rigid body simulations, capable of exploiting multiple CPU cores within a computer and across a network. Our approach can be applied to simulate both unilateral and bilateral…

图形学 · 计算机科学 2024-03-27 Manas Kale , Paul G. Kry

In this paper, we present a parallel computing method for the coupled-cluster singles and doubles (CCSD) in periodic systems. The CCSD in periodic systems solves simultaneous equations for single-excitation and double-excitation amplitudes.…

强关联电子 · 物理学 2019-11-04 Takumi Yamashita , Taichi Kosugi , Yu-ichiro Matsushita , Tetsuya Sakurai

The research in parallel machine scheduling in combinatorial optimization suggests that the desirable parallel efficiency could be achieved when the jobs are sorted in the non-increasing order of processing times. In this paper, we find…

数值分析 · 数学 2012-02-15 Lei Wang , Heng Liang , Fengshan Bai , Yan Huo

Recent years have witnessed the surge of asynchronous parallel (async-parallel) iterative algorithms due to problems involving very large-scale data and a large number of decision variables. Because of asynchrony, the iterates are computed…

最优化与控制 · 数学 2021-02-05 Zhimin Peng , Yangyang Xu , Ming Yan , Wotao Yin

Parallel processing is a principle which enables simultaneous implementation of anesthesia induction and operating room (OR) turnover with the aim of improving OR utilization. In this article, we study the problem of scheduling surgeries…

最优化与控制 · 数学 2022-01-03 Batuhan Celik , Serhat Gul , Melih Celik