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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

Federated Learning (FL) has achieved significant achievements recently, enabling collaborative model training on distributed data over edge devices. Iterative gradient or model exchanges between devices and the centralized server in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-19 Ji Liu , Tianshi Che , Yang Zhou , Ruoming Jin , Huaiyu Dai , Dejing Dou , Patrick Valduriez

The common fixed points problem requires finding a point in the intersection of fixed points sets of a finite collection of operators. Quickly solving problems of this sort is of great practical importance for engineering and scientific…

Optimization and Control · Mathematics 2019-01-24 Howard Heaton , Yair Censor

Fixpoint iteration constitutes the algorithmic core of static analyzers. Parallelizing the fixpoint engine can significantly reduce analysis times. Previous approaches typically fix the granularity of tasks upfront, e.g., at the level of…

Programming Languages · Computer Science 2026-02-09 Ali Rasim Kocal , Michael Schwarz , Simmo Saan , Helmut Seidl

The optimal fault-tolerance achievable by any protocol has been characterized in a wide range of settings. For example, for state machine replication (SMR) protocols operating in the partially synchronous setting, it is possible to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-01 Andrew Lewis-Pye , Tim Roughgarden

This paper develops an efficient and robust solution technique for the steady Boussinesq model of non-isothermal flow using Anderson acceleration applied to a Picard iteration. After analyzing the fixed point operator associated with the…

Numerical Analysis · Mathematics 2020-04-15 Sara Pollock , Leo G. Rebholz , Mengying Xiao

Iterative graph algorithms often compute intermediate values and update them as computation progresses. Updated output values are used as inputs for computations in current or subsequent iterations; hence the number of iterations required…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-05 Mark P. Blanco , Scott McMillan , Tze Meng Low

Achieving fault-tolerance will require a strong relationship between the hardware and the protocols used. Different approaches will therefore naturally have tailored proof-of-principle experiments to benchmark progress. Nevertheless,…

Quantum Physics · Physics 2024-05-28 Milan Liepelt , Tommaso Peduzzi , James R. Wootton

In this paper, we propose an empirical method for evaluating the performance of parallel code. Our method is based on a simple idea that is surprisingly effective in helping to identify causes of poor performance, such as high…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-15 Umut A. Acar , Arthur Charguéraud , Mike Rainey

Federated learning enables training on a massive number of edge devices. To improve flexibility and scalability, we propose a new asynchronous federated optimization algorithm. We prove that the proposed approach has near-linear convergence…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-08 Cong Xie , Sanmi Koyejo , Indranil Gupta

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…

Databases · Computer Science 2012-08-02 Stephan Ewen , Kostas Tzoumas , Moritz Kaufmann , Volker Markl

Many problems in science and engineering involve, as part of their solution process, the consideration of a separable function which is the sum of two convex functions, one of them possibly non-smooth. Recently a few works have discussed…

Optimization and Control · Mathematics 2017-03-06 Daniel Reem , Alvaro De Pierro

Cloud computing is becoming increasingly popular as a platform for distributed training of deep neural networks. Synchronous stochastic gradient descent (SSGD) suffers from substantial slowdowns due to stragglers if the environment is…

Machine Learning · Computer Science 2020-02-04 Saar Barkai , Ido Hakimi , Assaf Schuster

Several classic problems in graph processing and computational geometry are solved via incremental algorithms, which split computation into a series of small tasks acting on shared state, which gets updated progressively. While the…

Data Structures and Algorithms · Computer Science 2020-03-24 Dan Alistarh , Nikita Koval , Giorgi Nadiradze

Distributed implementations are crucial in speeding up large scale machine learning applications. Distributed gradient descent (GD) is widely employed to parallelize the learning task by distributing the dataset across multiple workers. A…

Information Theory · Computer Science 2021-03-02 Baturalp Buyukates , Emre Ozfatura , Sennur Ulukus , Deniz Gunduz

This work investigates the local convergence behavior of Anderson acceleration in solving nonlinear systems. We establish local R-linear convergence results for Anderson acceleration with general depth $m$ under the assumptions that the…

Numerical Analysis · Mathematics 2025-07-22 Yonghui Ling , Zikang Xiong , Juan Liang

Anderson acceleration (AA) has a long history of use and a strong recent interest due to its potential ability to dramatically improve the linear convergence of the fixed-point iteration. Most authors are simply using and analyzing the…

Numerical Analysis · Mathematics 2022-02-14 Kewang Chen , Cornelis Vuik

In distributed computing systems slow working nodes, known as stragglers, can greatly extend finishing times. Coded computing is a technique that enables straggler-resistant computation. Most coded computing techniques presented to date…

Information Theory · Computer Science 2021-02-02 Shahrzad Kiani , Nuwan Ferdinand , Stark C. Draper

In this article, we address the problem of federated learning in the presence of stragglers. For this problem, a coded federated learning framework has been proposed, where the central server aggregates gradients received from the…

Signal Processing · Electrical Eng. & Systems 2025-08-07 Chengxi Li , Ming Xiao , Mikael Skoglund

We consider stochastic optimization with delayed gradients where, at each time step $t$, the algorithm makes an update using a stale stochastic gradient from step $t - d_t$ for some arbitrary delay $d_t$. This setting abstracts asynchronous…

Optimization and Control · Mathematics 2021-11-16 Alon Cohen , Amit Daniely , Yoel Drori , Tomer Koren , Mariano Schain