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Based on SGD, previous works have proposed many algorithms that have improved convergence speed and generalization in stochastic optimization, such as SGDm, AdaGrad, Adam, etc. However, their convergence analysis under non-convex conditions…

机器学习 · 计算机科学 2024-02-05 Yichuan Deng , Zhao Song , Chiwun Yang

We initiate the study on fault-tolerant spanners in hypergraphs and develop fast algorithms for their constructions. A fault-tolerant (FT) spanner preserves approximate distances under network failures, often used in applications like…

数据结构与算法 · 计算机科学 2026-03-10 Jialin He , Nicholas Popescu , Chunjiang Zhu

With the increasing complexity of computing systems, complete hardware reliability can no longer be guaranteed. We need, however, to ensure overall system reliability. One of the most important features of artificial neural networks is…

神经与进化计算 · 计算机科学 2015-10-07 Anton Kulakov , Mark Zwolinski , Jeff Reeve

Many optimization algorithms$\unicode{x2013}$including gradient descent, proximal methods, and operator splitting techniques$\unicode{x2013}$can be formulated as fixed-point iterations (FPI) of continuous operators. When these operators are…

最优化与控制 · 数学 2025-11-03 Kira van Treek , Javier F. Peña , Juan C. Vera , Luis F. Zuluaga

A stochastic Forward-Backward algorithm with a constant step is studied. At each time step, this algorithm involves an independent copy of a couple of random maximal monotone operators. Defining a mean operator as a selection integral, the…

最优化与控制 · 数学 2018-04-05 Pascal Bianchi , Walid Hachem , Adil Salim

We present a static analysis by Abstract Interpretation to check for run-time errors in parallel and multi-threaded C programs. Following our work on Astr\'ee, we focus on embedded critical programs without recursion nor dynamic memory…

编程语言 · 计算机科学 2019-03-14 Antoine Miné

Large-scale distributed computing systems face two major bottlenecks that limit their scalability: straggler delay caused by the variability of computation times at different worker nodes and communication bottlenecks caused by shuffling…

信息论 · 计算机科学 2017-07-04 Amirhossein Reisizadeh , Ramtin Pedarsani

Abstraction (in its various forms) is a powerful established technique in model-checking; still, when unbounded data-structures are concerned, it cannot always cope with divergence phenomena in a satisfactory way. Acceleration is an…

计算机科学中的逻辑 · 计算机科学 2013-10-04 Francesco Alberti , Silvio Ghilardi , Natasha Sharygina

Distributed machine learning workloads use data and tensor parallelism for training and inference, both of which rely on the AllReduce collective to synchronize gradients or activations. However, AllReduce algorithms are delayed by the…

机器学习 · 计算机科学 2025-09-30 Arjun Devraj , Eric Ding , Abhishek Vijaya Kumar , Robert Kleinberg , Rachee Singh

The surge in generative AI workloads has created a need for scalable inference systems that can flexibly harness both GPUs and specialized accelerators while containing operational costs. This paper proposes a hardware-agnostic control loop…

性能 · 计算机科学 2025-03-28 Yahav Biran , Imry Kissos

Training large Deep Neural Network (DNN) models at scale often encounters straggler issues, mostly in communications due to network congestion, RNIC/switch defects, or topological asymmetry. Under advanced pipeline parallelism, even minor…

分布式、并行与集群计算 · 计算机科学 2025-04-29 Tianyuan Wu , Lunxi Cao , Hanfeng Lu , Xiaoxiao Jiang , Yinghao Yu , Siran Yang , Guodong Yang , Jiamang Wang , Lin Qu , Liping Zhang , Wei Wang

Pseudo-arclength continuation is a well-established method for generating a numerical curve approximating the solution of an underdetermined system of nonlinear equations. It is an inherently sequential predictor-corrector method in which…

数值分析 · 数学 2013-12-13 Dhavide Aruliah , Lennaert van Veen , Alex Dubitski

Distributed gradient descent (DGD) is an efficient way of implementing gradient descent (GD), especially for large data sets, by dividing the computation tasks into smaller subtasks and assigning to different computing servers (CSs) to be…

信息论 · 计算机科学 2018-11-29 Emre Ozfatura , Deniz Gunduz , Sennur Ulukus

This paper introduces Hamster, a novel synchronous Byzantine Fault Tolerance protocol that achieves better performance and has weaker dependency on synchrony. Specifically, Hamster employs coding techniques to significantly decrease…

分布式、并行与集群计算 · 计算机科学 2024-10-01 Ximing Fu , Mo Li , Qingming Zeng , Tianyang Li , Shenghao Yang , Yonghui Guan , Chuanyi Liu

Interactive time responses are a crucial requirement for users analyzing large amounts of data. Such analytical queries are typically run in a distributed setting, with data being sharded across thousands of nodes for high throughput.…

数据库 · 计算机科学 2020-02-06 Bruhathi Sundarmurthy , Harshad Deshmukh , Paris Koutris , Jeffrey Naughton

In this paper, we address the problem of detecting the moment when an ongoing asynchronous parallel iterative process can be terminated to provide a sufficiently precise solution to a fixed-point problem being solved. Formulating the…

分布式、并行与集群计算 · 计算机科学 2022-07-01 Guillaume Gbikpi-Benissan , Frederic Magoules

Our extensive real measurements over Amazon EC2 show that the virtual instances often have different computing speeds even if they share the same configurations. This motivates us to study heterogeneous Coded Storage Elastic Computing…

信息论 · 计算机科学 2021-09-17 Nicholas Woolsey , Joerg Kliewer , Rong-Rong Chen , Mingyue Ji

Parallel combinations of adaptive filters have been effectively used to improve the performance of adaptive algorithms and address well-known trade-offs, such as convergence rate vs. steady-state error. Nevertheless, typical combinations…

最优化与控制 · 数学 2017-11-21 Luiz F. O. Chamon , Cassio G. Lopes

Large scale machine learning is increasingly relying on distributed optimization, whereby several machines contribute to the training process of a statistical model. In this work we study the performance of asynchronous, distributed…

机器学习 · 计算机科学 2021-01-19 Rosa Candela , Giulio Franzese , Maurizio Filippone , Pietro Michiardi

This paper introduces the multiplicative variant of the recently proposed asynchronous additive coarse-space correction method. Definition of an asynchronous extension of multiplicative correction is not straightforward, however, our…

数值分析 · 数学 2023-12-20 Guillaume Gbikpi-Benissan , Frédéric Magoulès
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