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We propose a decomposition framework for the parallel optimization of the sum of a differentiable (possibly nonconvex) function and a (block) separable nonsmooth, convex one. The latter term is usually employed to enforce structure in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-18 Francisco Facchinei , Gesualdo Scutari , Simone Sagratella

Important computational physics problems are often large-scale in nature, and it is highly desirable to have robust and high performing computational frameworks that can quickly address these problems. However, it is no trivial task to…

Mathematical Software · Computer Science 2017-09-18 J. Chang , K. B. Nakshatrala , M. G. Knepley , L. Johnsson

Asynchronous parallel optimization received substantial successes and extensive attention recently. One of core theoretical questions is how much speedup (or benefit) the asynchronous parallelization can bring us. This paper provides a…

Optimization and Control · Mathematics 2017-05-23 Xiangru Lian , Huan Zhang , Cho-Jui Hsieh , Yijun Huang , Ji Liu

The performance of particle advection-based flow visualization techniques is complex, since computational work can vary based on many factors, including number of particles, duration, and mesh type. Further, while many approaches have been…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-24 Abhishek Yenpure , Sudhanshu Sane , Roba Binyahib , David Pugmire , Christoph Garth , Hank Childs

In this work, we propose a multi-stage training strategy for the development of deep learning algorithms applied to problems with multiscale features. Each stage of the pro-posed strategy shares an (almost) identical network structure and…

Numerical Analysis · Mathematics 2020-09-25 Eric Chung , Wing Tat Leung , Sai-Mang Pun , Zecheng Zhang

We give in this paper a convergence result concerning parallel asynchronous algorithm with bounded delays to solve a nonlinear fixed point problems. This result is applied to calculate the solution of a strongly monotone operator. Special…

Numerical Analysis · Mathematics 2007-05-23 Abdenasser Benahmed

Performance tools for emerging heterogeneous exascale platforms must address two principal challenges when analyzing execution measurements. First, measurement of large-scale executions may record mountains of performance data. Second,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-11 Jonathon Anderson , Yumeng Liu , John Mellor-Crummey

We empirically evaluate the finite-time performance of several simulation-optimization algorithms on a testbed of problems with the goal of motivating further development of algorithms with strong finite-time performance. We investigate if…

Optimization and Control · Mathematics 2017-05-23 Naijia Dong , David J. Eckman , Matthias Poloczek , Xueqi Zhao , Shane G. Henderson

In this paper, we evaluate the performance of various parallel optimization methods for Kernel Support Vector Machines on multicore CPUs and GPUs. In particular, we provide the first comparison of algorithms with explicit and implicit…

Machine Learning · Computer Science 2014-04-04 Stephen Tyree , Jacob R. Gardner , Kilian Q. Weinberger , Kunal Agrawal , John Tran

We consider convex stochastic optimization problems under different assumptions on the properties of available stochastic subgradient. It is known that, if the value of the objective function is available, one can obtain, in parallel,…

Optimization and Control · Mathematics 2017-01-19 Pavel Dvurechensky , Alexander Gasnikov , Anastasia Lagunovskaya

The concept of decomposition in computer science and engineering is considered a fundamental component of computational thinking and is prevalent in design of algorithms, software construction, hardware design, and more. We propose a simple…

Logic in Computer Science · Computer Science 2023-06-22 Dror Fried , Axel Legay , Joël Ouaknine , Moshe Y. Vardi

We describe an asynchronous parallel stochastic proximal coordinate descent algorithm for minimizing a composite objective function, which consists of a smooth convex function plus a separable convex function. In contrast to previous…

Optimization and Control · Mathematics 2015-12-14 Ji Liu , Stephen J. Wright

Performance of supercomputer depends on the quality of resource manager, one of its functions is assignment of jobs to the nodes of clusters or MPP computers. Parts of parallel programs interact with each other with different intensity, and…

Performance · Computer Science 2022-12-26 A. V. Baranov , E. A. Kiselev , B. M. Shabanov , A. A. Sorokin , P. N. Telegin

Developing efficient parallel applications is critical to advancing scientific development but requires significant performance analysis and optimization. Performance analysis tools help developers manage the increasing complexity and scale…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-25 Onur Cankur , Aditya Tomar , Daniel Nichols , Connor Scully-Allison , Katherine E. Isaacs , Abhinav Bhatele

Bilevel learning refers to machine learning problems that can be formulated as bilevel optimization models, where decisions are organized in a hierarchical structure. This paradigm has recently gained considerable attention in machine…

Optimization and Control · Mathematics 2026-05-05 Riccardo Grazzi , Massimiliano Pontil , Saverio Salzo , Alain Zemkoho

State-of-the-art machine learning frameworks support a wide variety of design features to enable a flexible machine learning programming interface and to ease the programmability burden on machine learning developers. Identifying and using…

Machine Learning · Computer Science 2020-07-01 Yu Emma Wang , Carole-Jean Wu , Xiaodong Wang , Kim Hazelwood , David Brooks

This paper presents a multiagent approach as a paradigm for scheduling parallel jobs in a parallel system. Scheduling parallel jobs is performed as a means to balance the load of a system in order to improve the performance of a parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-29 Jaderick P. Pabico

In decentralized optimization, nodes cooperate to minimize an overall objective function that is the sum (or average) of per-node private objective functions. Algorithms interleave local computations with communication among all or a subset…

Optimization and Control · Mathematics 2018-01-16 Angelia Nedić , Alex Olshevsky , Michael G. Rabbat

A performance prediction method for massively parallel computation is proposed. The method is based on performance modeling and Bayesian inference to predict elapsed time T as a function of the number of used nodes P (T=T(P)). The focus is…

Numerical Analysis · Mathematics 2022-03-17 Hisashi Kohashi , Harumichi Iwamoto , Takeshi Fukaya , Yusaku Yamamoto , Takeo Hoshi

The linked cell list algorithm is an essential part of molecular simulation software, both molecular dynamics and Monte Carlo. Though it scales linearly with the number of particles, there has been a constant interest in increasing its…

Computational Physics · Physics 2013-03-19 Ulrich Welling , Guido Germano