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Standard gradient-based iteration algorithms for optimization, such as gradient descent and its various proximal-based extensions to nonsmooth problems, are known to converge slowly for ill-conditioned problems, sometimes requiring many…

Numerical Analysis · Mathematics 2026-03-24 G. H. M. Araújo , O. A. Krzysik , H. De Sterck

With the increasing number of components and further miniaturization the mean time between faults in supercomputers will decrease. System level fault tolerance techniques are expensive and cost energy, since they are often based on…

Computational Engineering, Finance, and Science · Computer Science 2015-01-30 Markus Huber , Björn Gmeiner , Ulrich Rüde , Barbara Wohlmuth

Speeding up computationally expensive problems, such as numerical simulations of large micromagnetic systems, requires efficient use of parallel computing infrastructures. While parallelism across space is commonly exploited in…

Computational Physics · Physics 2023-10-19 Robert Kraft , Sabri Koraltan , Markus Gattringer , Florian Bruckner , Dieter Suess , Claas Abert

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…

Optimization and Control · Mathematics 2021-02-05 Zhimin Peng , Yangyang Xu , Ming Yan , Wotao Yin

Fault-tolerant distributed applications require mechanisms to recover data lost via a process failure. On modern cluster systems it is typically impractical to request replacement resources after such a failure. Therefore, applications have…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-26 Lukas Hübner , Demian Hespe , Peter Sanders , Alexandros Stamatakis

Fault tolerance in multi-core architecture has attracted attention of research community for the past 20 years. Rapid improvements in the CMOS technology resulted in exponential growth of transistor density. It resulted in increased…

Hardware Architecture · Computer Science 2022-01-03 Shashikiran Venkatesha , Ranjani Parthasarathi

With the increasing number of compute components, failures in future exa-scale computer systems are expected to become more frequent. This motivates the study of novel resilience techniques. Here, we extend a recently proposed…

Mathematical Software · Computer Science 2018-04-18 Markus Huber , Ulrich Rüde , Barbara Wohlmuth

The field of remote sensing is nowadays faced with huge amounts of data. While this offers a variety of exciting research opportunities, it also yields significant challenges regarding both computation time and space requirements. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-06 Malte von Mehren , Fabian Gieseke , Jan Verbesselt , Sabina Rosca , Stéphanie Horion , Achim Zeileis

Subgraph matching is a basic operation widely used in many applications. However, due to its NP-hardness and the explosive growth of graph data, it is challenging to compute subgraph matching, especially in large graphs. In this paper, we…

Databases · Computer Science 2021-02-25 Xin Jin , Zhengyi Yang , Xuemin Lin , Shiyu Yang , Lu Qin , You Peng

This paper addresses the problem of fault diagnosis in multistation assembly systems. Fault diagnosis is to identify process faults that cause the excessive dimensional variation of the product using dimensional measurements. For such…

Applications · Statistics 2022-10-31 Jihoon Chung , Bo Shen , Zhenyu , Kong

The growth of data today poses a challenge in management and inference. While feature extraction methods are capable of reducing the size of the data for inference, they do not help in minimizing the cost of data storage. On the other hand,…

Machine Learning · Computer Science 2022-03-04 Thu Nguyen , Thanh Nhan Phan , Van Nhuong Nguyen , Thanh Binh Nguyen , Pål Halvorsen , Michael Riegler

Parallel computing is very important to accelerate the performance of software systems. Additionally, considering that a recurring challenge is to process high data volumes continuously, stream processing emerged as a paradigm and software…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-14 Adriano Vogel , Sören Henning , Esteban Perez-Wohlfeil , Otmar Ertl , Rick Rabiser

We consider the problem of solving integer programs of the form $\min \{\,c^\intercal x\ \colon\ Ax=b, x\geq 0\}$, where $A$ is a multistage stochastic matrix in the following sense: the primal treedepth of $A$ is bounded by a parameter…

Data Structures and Algorithms · Computer Science 2020-12-23 Jana Cslovjecsek , Friedrich Eisenbrand , Michał Pilipczuk , Moritz Venzin , Robert Weismantel

In case of multiple node failures performance becomes very low as compare to single node failure. Failures of nodes in cluster computing can be tolerated by multiple fault tolerant computing. Existing recovery schemes are efficient for…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-02-15 Sanjay Bansal , Sanjeev Sharma

We describe an asynchronous parallel stochastic coordinate descent algorithm for minimizing smooth unconstrained or separably constrained functions. The method achieves a linear convergence rate on functions that satisfy an essential strong…

Optimization and Control · Mathematics 2014-11-12 Ji Liu , Stephen J. Wright , Christopher Ré , Victor Bittorf , Srikrishna Sridhar

The paper presents a combination of the time-parallel "parallel full approximation scheme in space and time" (PFASST) with a parallel multigrid method (PMG) in space, resulting in a mesh-based solver for the three-dimensional heat equation…

Numerical Analysis · Computer Science 2015-07-28 Robert Speck , Daniel Ruprecht , Matthew Emmett , Matthias Bolten , Rolf Krause

This paper presents FT-GAIA, a software-based fault-tolerant parallel and distributed simulation middleware. FT-GAIA has being designed to reliably handle Parallel And Distributed Simulation (PADS) models, which are needed to properly…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-28 Gabriele D'Angelo , Stefano Ferretti , Moreno Marzolla

Foundation models have impressive performance and generalization capabilities across a wide range of applications. The increasing size of the models introduces great challenges for the training. Tensor parallelism is a critical technique…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-23 Shenggan Cheng , Ziming Liu , Jiangsu Du , Yang You

Parallel parameterized complexity theory studies how fixed-parameter tractable (fpt) problems can be solved in parallel. Previous theoretical work focused on parallel algorithms that are very fast in principle, but did not take into account…

Data Structures and Algorithms · Computer Science 2019-02-21 Max Bannach , Malte Skambath , Till Tantau

Large-scale training systems typically use synchronous training, requiring all GPUs to be healthy simultaneously. In our experience training on O(100K) GPUs, synchronous training results in a low efficiency due to frequent failures and long…