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Processing graphs with temporal information (the temporal graphs) has become increasingly important in the real world. In this paper, we study efficient solutions to temporal graph applications using new algorithms for Incremental Minimum…

数据结构与算法 · 计算机科学 2025-05-13 Xiangyun Ding , Yan Gu , Yihan Sun

We consider distributed optimization under communication constraints for training deep learning models. We propose a new algorithm, whose parameter updates rely on two forces: a regular gradient step, and a corrective direction dictated by…

机器学习 · 计算机科学 2022-04-29 Yunfei Teng , Wenbo Gao , Francois Chalus , Anna Choromanska , Donald Goldfarb , Adrian Weller

The development of online algorithms to track time-varying systems has drawn a lot of attention in the last years, in particular in the framework of online convex optimization. Meanwhile, sparse time-varying optimization has emerged as a…

最优化与控制 · 数学 2020-02-03 Sophie M. Fosson

In distributed stochastic optimization, where parallel and asynchronous methods are employed, we establish optimal time complexities under virtually any computation behavior of workers/devices/CPUs/GPUs, capturing potential disconnections…

最优化与控制 · 数学 2025-02-07 Alexander Tyurin

We give algorithms for geometric graph problems in the modern parallel models inspired by MapReduce. For example, for the Minimum Spanning Tree (MST) problem over a set of points in the two-dimensional space, our algorithm computes a…

数据结构与算法 · 计算机科学 2014-01-07 Alexandr Andoni , Aleksandar Nikolov , Krzysztof Onak , Grigory Yaroslavtsev

For the last thirty years, several Dynamic Memory Managers (DMMs) have been proposed. Such DMMs include first fit, best fit, segregated fit and buddy systems. Since the performance, memory usage and energy consumption of each DMM differs,…

神经与进化计算 · 计算机科学 2024-07-16 José L. Risco-Martín , David Atienza , J. Manuel Colmenar , Oscar Garnica

Although the spike-trains in neural networks are mainly constrained by the neural dynamics itself, global temporal constraints (refractoriness, time precision, propagation delays, ..) are also to be taken into account. These constraints are…

适应与自组织系统 · 物理学 2009-03-20 Bruno Cessac , Olivier Rochel , Thierry Viéville

In this paper, a time-periodic MGRIT algorithm is proposed as a means to reduce the time-to-solution of numerical algorithms by exploiting the time periodicity inherent to many applications in science and engineering. The time-periodic…

计算工程、金融与科学 · 计算机科学 2022-01-12 Andreas Hessenthaler , Robert D. Falgout , Jacob B. Schroder , Adelaide de Vecchi , David Nordsletten , Oliver Röhrle

In this paper we present and evaluate a parallel algorithm for solving a minimum spanning tree (MST) problem for supercomputers with distributed memory. The algorithm relies on the relaxation of the message processing order requirement for…

分布式、并行与集群计算 · 计算机科学 2016-10-18 Artem Mazeev , Alexander Semenov , Alexey Simonov

The time parallel solution of optimality systems arising in PDE constraint optimization could be achieved by simply applying any time parallel algorithm, such as Parareal, to solve the forward and backward evolution problems arising in the…

偏微分方程分析 · 数学 2020-07-27 Martin Gander , Félix Kwok , Julien Salomon

Since local LLM inference on resource-constrained edge devices imposes a severe performance bottleneck, this paper proposes distributed prompt caching to enhance inference performance by cooperatively sharing intermediate processing states…

机器学习 · 计算机科学 2026-04-13 Hiroki Matsutani , Naoki Matsuda , Naoto Sugiura

Solving inverse problems and achieving statistical rigour in landscape evolution models requires running many model realizations. Parallel computation is necessary to achieve this in a reasonable time. However, no previous algorithm is…

计算工程、金融与科学 · 计算机科学 2019-01-23 Richard Barnes

We study the problem of stochastic optimization for deep learning in the parallel computing environment under communication constraints. A new algorithm is proposed in this setting where the communication and coordination of work among…

机器学习 · 计算机科学 2015-10-27 Sixin Zhang , Anna Choromanska , Yann LeCun

This paper studies parallelization schemes for stochastic Vector Quantization algorithms in order to obtain time speed-ups using distributed resources. We show that the most intuitive parallelization scheme does not lead to better…

机器学习 · 统计学 2012-05-14 Matthieu Durut , Benoît Patra , Fabrice Rossi

This paper presents a new algorithm for the parallel in time (PiT) numerical simulation of time dependent partial/ordinary differential equations. We propose a reliable alternative to the well know parareal in time algorithm, by formulating…

数值分析 · 数学 2022-03-22 Mohamed Kamel Riahi

Computational chemistry allows researchers to experiment in sillico: by running a computer simulations of a biological or chemical processes of interest. Molecular dynamics with molecular mechanics model of interactions simulates N-body…

分布式、并行与集群计算 · 计算机科学 2014-03-03 Jana Pazúriková

We propose a new parallel-in-time algorithm for solving optimal control problems constrained by discretized partial differential equations. Our approach, which is based on a deeper understanding of ParaExp, considers an overlapping…

分布式、并行与集群计算 · 计算机科学 2024-09-06 Felix Kwok , Djahou N Tognon

The Parareal algorithm allows to solve evolution problems exploiting parallelization in time. Its convergence and stability have been proved under the assumption of regular (smooth) inputs. We present and analyze here a new Parareal…

This paper focuses on showing time-message trade-offs in distributed algorithms for fundamental problems such as leader election, broadcast, spanning tree (ST), minimum spanning tree (MST), minimum cut, and many graph verification problems.…

数据结构与算法 · 计算机科学 2018-10-09 Robert Gmyr , Gopal Pandurangan

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…