English
Related papers

Related papers: Asynchronous parareal time discretization for part…

200 papers

Discrete variational methods have shown an excellent performance in numerical simulations of different mechanical systems. In this paper, we introduce an iterative method for discrete variational methods appropriate for boundary value…

Numerical Analysis · Mathematics 2021-09-14 Sebastián J. Ferraro , David Martín de Diego , Rodrigo T. Sato Martín de Almagro

Asynchronous stochastic gradient descent (ASGD) is a popular parallel optimization algorithm in machine learning. Most theoretical analysis on ASGD take a discrete view and prove upper bounds for their convergence rates. However, the…

Machine Learning · Statistics 2018-05-09 Li He , Qi Meng , Wei Chen , Zhi-Ming Ma , Tie-Yan Liu

With the explosion of distributed energy resources (DERs), voltage regulation in distribution networks has been facing a great challenge. This paper derives an asynchronous distributed voltage control strategy based on the partial…

Systems and Control · Electrical Eng. & Systems 2019-08-20 Zhaojian Wang , Feng Liu , Yifan Su , Boyu Qin

The ability to timely process significant amounts of continuously updated spatial data is mandatory for an increasing number of applications. Parallelism enables such applications to face this data-intensive challenge and allows the devised…

Databases · Computer Science 2014-11-13 Francesco Lettich , Salvatore Orlando , Claudio Silvestri , Christian S. Jensen

Asynchronous Bayesian optimization is a recently implemented technique that allows for parallel operation of experimental systems and disjointed workflows. Contrasting with serial Bayesian optimization which individually selects experiments…

Machine Learning · Computer Science 2024-10-23 Amanda A. Volk , Kristofer G. Reyes , Jeffrey G. Ethier , Luke A. Baldwin

Asynchronous learning protocols have regained attention lately, especially in the Federated Learning (FL) setup, where slower clients can severely impede the learning process. Herein, we propose \texttt{AsyncDrop}, a novel asynchronous FL…

Machine Learning · Computer Science 2022-10-31 Chen Dun , Mirian Hipolito , Chris Jermaine , Dimitrios Dimitriadis , Anastasios Kyrillidis

We present a novel multiscale numerical approach that combines parallel-in-time computation with hybrid domain adaptation for linear collisional kinetic equations in the diffusive regime. The method addresses the computational challenges of…

Numerical Analysis · Mathematics 2025-11-18 Tino Laidin

Parallel batched data structures are designed to process synchronized batches of operations in a parallel computing model. In this paper, we propose parallel combining, a technique that implements a concurrent data structure from a parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-14 Vitaly Aksenov , Petr Kuznetsov , Anatoly Shalyto

The current algorithms are based on linear model, for example, Precision Time Protocol (PTP) which requires frequent synchronization in order to handle the effects of clock frequency drift. This paper introduces a nonlinear approach to…

Machine Learning · Computer Science 2019-03-05 Frank Wang , Danjue Li

Existing high-dimensional online learning methods often face the challenge that their error bounds, or per-batch sample sizes, diverge as the number of data batches increases. To address this issue, we propose an asynchronous decomposition…

Machine Learning · Statistics 2026-03-24 Shixiang Liu , Zhifan Li , Hanming Yang , Jianxin Yin

In this work we show that randomized (block) coordinate descent methods can be accelerated by parallelization when applied to the problem of minimizing the sum of a partially separable smooth convex function and a simple separable convex…

Optimization and Control · Mathematics 2013-11-27 Peter Richtárik , Martin Takáč

Parametric linear programming is a central operation for polyhedral computations, as well as in certain control applications.Here we propose a task-based scheme for parallelizing it, with quasi-linear speedup over large problems.This type…

Computational Geometry · Computer Science 2020-10-01 Camille Coti , David Monniaux , Hang Yu

This paper focuses on efficient steady-state computations of induction machines. In particular, the periodic Parareal algorithm with initial-value coarse problem (PP-IC) is considered for acceleration of classical time-stepping simulations…

Computational Engineering, Finance, and Science · Computer Science 2020-02-19 Denys Bast , Iryna Kulchytska-Ruchka , Sebastian Schöps , Oliver Rain

The present article investigates the convergence of a class of space-time discretization schemes for the Cauchy problem for linear parabolic stochastic partial differential equations (SPDEs) defined on the whole space. Sufficient conditions…

Probability · Mathematics 2012-10-04 Eric Joseph Hall

In earlier work we have studied a method for discretization in time of a parabolic problem which consists in representing the exact solution as an integral in the complex plane and then applying a quadrature formula to this integral. In…

Numerical Analysis · Mathematics 2016-02-02 William McLean , Vidar Thomée

In this work, the Parareal algorithm is applied to evolution problems that admit good low-rank approximations and for which the dynamical low-rank approximation (DLRA) can be used as time stepper. Many discrete integrators for DLRA have…

Numerical Analysis · Mathematics 2022-09-14 Benjamin Carrel , Martin J. Gander , Bart Vandereycken

The aim of this paper is to explain how the D-iteration can be used for an efficient asynchronous distributed computation. We present the main ideas of the method and illustrate them through very simple examples.

Distributed, Parallel, and Cluster Computing · Computer Science 2012-02-15 Dohy Hong

This paper deals with speeding up the convergence of a class of two-step iterative methods for solving linear systems of equations. To implement the acceleration technique, the residual norm associated with computed approximations for each…

Numerical Analysis · Mathematics 2024-04-24 Fatemeh P. A. Beik , Michele Benzi , Mehdi Najafi-Kalyani

A renewal system divides the slotted timeline into back to back time periods called renewal frames. At the beginning of each frame, it chooses a policy from a set of options for that frame. The policy determines the duration of the frame,…

Optimization and Control · Mathematics 2021-02-02 Xiaohan Wei

In order to make the numerical simulation of atherosclerotic plaque growth feasible, a temporal homogenization approach is employed. The resulting macro-scale problem for the plaque growth can be further accelerated by using parallel time…

Numerical Analysis · Mathematics 2022-07-11 Stefan Frei , Alexander Heinlein