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An alternating direction method of multipliers (ADMM) solver is described for optimal resource allocation problems with separable convex quadratic costs and constraints and linear coupling constraints. We describe a parallel implementation…

Optimization and Control · Mathematics 2019-07-09 Zawar Qureshi , Sebastian East , Mark Cannon

In this paper we relate a number of parsing algorithms which have been developed in very different areas of parsing theory, and which include deterministic algorithms, tabular algorithms, and a parallel algorithm. We show that these…

cmp-lg · Computer Science 2008-02-03 Mark-Jan Nederhof

We propose a new asynchronous parallel block-descent algorithmic framework for the minimization of the sum of a smooth nonconvex function and a nonsmooth convex one, subject to both convex and nonconvex constraints. The proposed framework…

Optimization and Control · Mathematics 2018-04-02 Loris Cannelli , Francisco Facchinei , Vyacheslav Kungurtsev , Gesualdo Scutari

There are billions of lines of sequential code inside nowadays' software which do not benefit from the parallelism available in modern multicore architectures. Automatically parallelizing sequential code, to promote an efficient use of the…

Programming Languages · Computer Science 2016-04-13 Alcides Fonseca , Bruno Cabral , João Rafael , Ivo Correia

Bilevel Optimization Programming is used to model complex and conflicting interactions between agents, for example in Robust AI or Privacy-preserving AI. Integrating bilevel mathematical programming within deep learning is thus an essential…

Machine Learning · Computer Science 2023-03-01 Francesco Alesiani

All-pairs similarity problem asks to find all vector pairs in a set of vectors the similarities of which surpass a given similarity threshold, and it is a computational kernel in data mining and information retrieval for several tasks. We…

Information Retrieval · Computer Science 2014-02-14 Eray Özkural , Cevdet Aykanat

We present a new parallel algorithm for probabilistic graphical model optimization. The algorithm relies on data-parallel primitives (DPPs), which provide portable performance over hardware architecture. We evaluate results on CPUs and GPUs…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-14 Brenton Lessley , Talita Perciano , Colleen Heinemann , David Camp , Hank Childs , E. Wes Bethel

Efficient and automated design of optimizers plays a crucial role in full-stack AutoML systems. However, prior methods in optimizer search are often limited by their scalability, generability, or sample efficiency. With the goal of…

Machine Learning · Computer Science 2022-09-29 Ruochen Wang , Yuanhao Xiong , Minhao Cheng , Cho-Jui Hsieh

We propose new sequential sorting operations by adapting techniques and methods used for designing parallel sorting algorithms. Although the norm is to parallelize a sequential algorithm to improve performance, we adapt a contrarian…

Data Structures and Algorithms · Computer Science 2016-09-01 Alexandros V Gerbessiotis

The optimization algorithm and its hyperparameters can significantly affect the training speed and resulting model accuracy in machine learning applications. The wish list for an ideal optimizer includes fast and smooth convergence to low…

Machine Learning · Computer Science 2024-02-20 Marco Eckhoff , Markus Reiher

Multivariate partial fractioning is a powerful tool for simplifying rational function coefficients in scattering amplitude computations. Since current research problems lead to large sets of complicated rational functions, performance of…

High Energy Physics - Phenomenology · Physics 2022-12-19 Dominik Bendle , Janko Boehm , Murray Heymann , Rourou Ma , Mirko Rahn , Lukas Ristau , Marcel Wittmann , Zihao Wu , Yang Zhang

Data processing systems offer an ever increasing degree of parallelism on the levels of cores, CPUs, and processing nodes. Query optimization must exploit high degrees of parallelism in order not to gradually become the bottleneck of query…

Databases · Computer Science 2015-11-06 Immanuel Trummer , Christoph Koch

Extremal optimization is a new general-purpose method for approximating solutions to hard optimization problems. We study the method in detail by way of the NP-hard graph partitioning problem. We discuss the scaling behavior of extremal…

Statistical Mechanics · Physics 2009-11-07 S. Boettcher , A. G. Percus

We present a novel class of methods to compute functions of matrices or their action on vectors that are suitable for parallel programming. Solving appropriate simple linear systems of equations in parallel (or computing the inverse of…

Numerical Analysis · Mathematics 2022-10-10 Sergio Blanes

Optical computing offers ultrafast, energy-efficient alternatives to conventional digital processors, yet most implementations remain confined to single-channel processing, severely underutilizing light's information capacity. Here we…

Optics · Physics 2026-01-13 Fatma Nur Kılınç , Uğur Teğin

The performance of optimization algorithms relies crucially on their parameterizations. Finding good parameter settings is called algorithm tuning. The sequential parameter optimization (SPOT) package for R is a toolbox for tuning and…

Mathematical Software · Computer Science 2021-03-05 Thomas Bartz-Beielstein , Martin Zaefferer , Frederik Rehbach

Many graph problems can be solved using ordered parallel graph algorithms that achieve significant speedup over their unordered counterparts by reducing redundant work. This paper introduces a new priority-based extension to GraphIt, a…

Programming Languages · Computer Science 2020-01-28 Yunming Zhang , Ajay Brahmakshatriya , Xinyi Chen , Laxman Dhulipala , Shoaib Kamil , Saman Amarasinghe , Julian Shun

Asynchronous parallel implementations of stochastic gradient (SG) have been broadly used in solving deep neural network and received many successes in practice recently. However, existing theories cannot explain their convergence and…

Optimization and Control · Mathematics 2019-04-22 Xiangru Lian , Yijun Huang , Yuncheng Li , Ji Liu

We present a parallel GPU-accelerated solver for branch Model Predictive Control problems. Based on iterative LQR methods, our solver exploits the tree-sparse structure and implements temporal parallelism using the parallel scan algorithm.…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Luyao Zhang , Chenghuai Lin , Sergio Grammatico

In advancing parallel programming, particularly with OpenMP, the shift towards NLP-based methods marks a significant innovation beyond traditional S2S tools like Autopar and Cetus. These NLP approaches train on extensive datasets of…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-07 Weidong Wang , Haoran Zhu