中文
相关论文

相关论文: How to Make the Preconditioned Conjugate Gradient …

200 篇论文

Disruptions are inevitable during airline operations, and disruptions cost airlines and the traveling public. Disruption recovery decisions are often made in a sequential process that includes flight rescheduling, aircraft rerouting, crew…

最优化与控制 · 数学 2025-09-03 Jianlin Jiang , Jiajin Lin , Yan Gu , Yibing Lv , Cheng-Lung Wu

In this article, we present a parallel recursive algorithm based on multi-level domain decomposition that can be used as a precondtioner to a Krylov subspace method to solve sparse linear systems of equations arising from the discretization…

数值分析 · 数学 2012-10-24 Rahul S. Sampath , Bobby Philip , Srikanth Allu , Srdjan Simunovic

We introduce and analyze different strategies for the parallel-in-time integration method PFASST to recover from hard faults and subsequent data loss. Since PFASST stores solutions at multiple time steps on different processors, information…

分布式、并行与集群计算 · 计算机科学 2017-03-21 Robert Speck , Daniel Ruprecht

We propose a simple domain decomposition method for $d$-dimensional elliptic PDEs which involves an overlapping decomposition into local subdomain problems and a global coarse problem. It relies on a space-filling curve to create equally…

数值分析 · 数学 2021-03-08 Michael Griebel , Marc-Alexander Schweitzer , Lukas Troska

The Pairwise Conditional Gradients (PCG) algorithm is a powerful extension of the Frank-Wolfe algorithm leading to particularly sparse solutions, which makes PCG very appealing for problems such as sparse signal recovery, sparse regression,…

最优化与控制 · 数学 2022-02-09 Kazuma Tsuji , Ken'ichiro Tanaka , Sebastian Pokutta

Resiliency is the ability of large-scale high-performance computing (HPC) applications to gracefully handle errors, and recover from failures. In this paper, we propose a pattern-based approach to constructing resilience solutions that…

分布式、并行与集群计算 · 计算机科学 2018-02-23 Rizwan A. Ashraf , Saurabh Hukerikar , Christian Engelmann

Support for lower precision computation is becoming more common in accelerator hardware due to lower power usage, reduced data movement and increased computational performance. However, computational science and engineering (CSE) problems…

分布式、并行与集群计算 · 计算机科学 2021-09-06 Jennifer A. Loe , Christian A. Glusa , Ichitaro Yamazaki , Erik G. Boman , Sivasankaran Rajamanickam

A fundamental task in numerical computation is the solution of large linear systems. The conjugate gradient method is an iterative method which offers rapid convergence to the solution, particularly when an effective preconditioner is…

统计方法学 · 统计学 2018-12-18 Jon Cockayne , Chris Oates , Ilse Ipsen , Mark Girolami

Stochastic optimization algorithms update models with cheap per-iteration costs sequentially, which makes them amenable for large-scale data analysis. Such algorithms have been widely studied for structured sparse models where the sparsity…

机器学习 · 计算机科学 2019-05-10 Baojian Zhou , Feng Chen , Yiming Ying

The paper proposes and optimizes a partial recovery training system, CPR, for recommendation models. CPR relaxes the consistency requirement by enabling non-failed nodes to proceed without loading checkpoints when a node fails during…

Entity Resolution (ER) is typically implemented as a batch task that processes all available data before identifying duplicate records. However, applications with time or computational constraints, e.g., those running in the cloud, require…

数据库 · 计算机科学 2025-03-12 Jakub Maciejewski , Konstantinos Nikoletos , George Papadakis , Yannis Velegrakis

Distributed optimization methods are often applied to solving huge-scale problems like training neural networks with millions and even billions of parameters. In such applications, communicating full vectors, e.g., (stochastic) gradients,…

最优化与控制 · 数学 2022-05-31 Marina Danilova , Eduard Gorbunov

Resilience against stragglers is a critical element of prediction serving systems, tasked with executing inferences on input data for a pre-trained machine-learning model. In this paper, we propose NeRCC, as a general straggler-resistant…

机器学习 · 计算机科学 2024-02-12 Parsa Moradi , Mohammad Ali Maddah-Ali

This paper introduces an efficient sparse recovery approach for Polynomial Chaos (PC) expansions, which promotes the sparsity by breaking the dimensionality of the problem. The proposed algorithm incrementally explores sub-dimensional…

统计计算 · 统计学 2017-04-05 Negin Alemazkoor , Hadi Meidani

In this paper we propose a parallel coordinate descent algorithm for solving smooth convex optimization problems with separable constraints that may arise e.g. in distributed model predictive control (MPC) for linear network systems. Our…

最优化与控制 · 数学 2014-11-19 Ion Necoara , Dragos Clipici

We present an algorithm for recovering planted solutions in two well-known models, the stochastic block model and planted constraint satisfaction problems, via a common generalization in terms of random bipartite graphs. Our algorithm…

数据结构与算法 · 计算机科学 2015-04-30 Vitaly Feldman , Will Perkins , Santosh Vempala

Improving existing neural network architectures can involve several design choices such as manipulating the loss functions, employing a diverse learning strategy, exploiting gradient evolution at training time, optimizing the network…

计算机视觉与模式识别 · 计算机科学 2022-10-27 Danilo Avola , Luigi Cinque , Alessio Fagioli , Gian Luca Foresti

This paper presents a comprehensive analysis of the well-known extragradient (EG) method for solving both equations and inclusions. First, we unify and generalize EG for [non]linear equations to a wider class of algorithms, encompassing…

最优化与控制 · 数学 2024-09-26 Quoc Tran-Dinh , Nghia Nguyen-Trung

Krylov methods are a key way of solving large sparse linear systems of equations, but suffer from poor strong scalabilty on distributed memory machines. This is due to high synchronization costs from large numbers of collective…

分布式、并行与集群计算 · 计算机科学 2022-03-14 Shelby Lockhart , Amanda Bienz , William Gropp , Luke Olson

Data availability is critical in distributed storage systems, especially when node failures are prevalent in real life. A key requirement is to minimize the amount of data transferred among nodes when recovering the lost or unavailable data…

分布式、并行与集群计算 · 计算机科学 2013-06-07 Runhui Li , Jian Lin , Patrick P. C. Lee