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In competitive parallel computing, the identical copies of a code in a phase of a sequential program are assigned to processor cores and the result of the fastest core is adopted. In the literature, it is reported that a superlinear speedup…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-22 Naoki Yonezawa

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

We propose an algorithm for solving bound-constrained mathematical programs with complementarity constraints on the variables. Each iteration of the algorithm involves solving a linear program with complementarity constraints in order to…

Optimization and Control · Mathematics 2022-01-14 Christian Kirches , Jeffrey Larson , Sven Leyffer , Paul Manns

The aim of the paper is to introduce general techniques in order to optimize the parallel execution time of sorting on a distributed architectures with processors of various speeds. Such an application requires a partitioning step. For…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-16 Christophe Cérin , Jean-Christophe Dubacq , Jean-Louis Roch , the SafeScale Collaboration

The linear coupling method was introduced recently by Allen-Zhu and Orecchia for solving convex optimization problems with first order methods, and it provides a conceptually simple way to integrate a gradient descent step and mirror…

Data Structures and Algorithms · Computer Science 2015-10-07 Di Wang , Satish Rao , Michael W. Mahoney

We consider continuous linear programs over a continuous finite time horizon $T$, with a constant coefficient matrix, linear right hand side functions and linear cost coefficient functions, where we search for optimal solutions in the space…

Optimization and Control · Mathematics 2019-05-02 Evgeny Shindin , Gideon Weiss

Task based parallel programming has shown competitive outcomes in many aspects of parallel programming such as efficiency, performance, productivity and scalability. Different approaches are used by different software development frameworks…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-09 Afshin Zafari

Many problems in machine learning and other fields can be (re)for-mulated as linearly constrained separable convex programs. In most of the cases, there are multiple blocks of variables. However, the traditional alternating direction method…

Numerical Analysis · Computer Science 2014-05-30 Zhouchen Lin , Risheng Liu , Huan Li

The approximate minimum degree algorithm is widely used before numerical factorization to reduce fill-in for sparse matrices. While considerable attention has been given to the numerical factorization process, less focus has been placed on…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-26 Yen-Hsiang Chang , Aydın Buluç , James Demmel

It has been shown that the parallel Lattice Linear Predicate (LLP) algorithm solves many combinatorial optimization problems such as the shortest path problem, the stable marriage problem and the market clearing price problem. In this…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-11 Vijay K. Garg

Particle accelerators are invaluable tools for research in the basic and applied sciences, in fields such as materials science, chemistry, the biosciences, particle physics, nuclear physics and medicine. The design, commissioning, and…

Accelerator Physics · Physics 2019-02-26 N. Neveu , L. Spentzouris , A. Adelmann , Y. Ineichen , A. Kolano , C. Metzger-Kraus , C. Bekas , A. Curioni , P. Arbenz

This paper proposes a framework for developing forecasting models by streamlining the connections between core components of the developmental process. The proposed framework enables swift and robust integration of new datasets,…

Machine Learning · Computer Science 2023-04-14 Jonathan Hans Soeseno , Sergio González , Trista Pei-Chun Chen

This paper first proposes an N-block PCPM algorithm to solve N-block convex optimization problems with both linear and nonlinear constraints, with global convergence established. A linear convergence rate under the strong second-order…

Optimization and Control · Mathematics 2021-03-26 Run Chen , Andrew L. Liu

Parallel programs in high performance computing (HPC) continue to grow in complexity and scale in the exascale era. The diversity in hardware and parallel programming models make developing, optimizing, and maintaining parallel software…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-15 Daniel Nichols , Aniruddha Marathe , Harshitha Menon , Todd Gamblin , Abhinav Bhatele

Assessing and improving the quality of data are fundamental challenges for data-intensive systems that have given rise to applications targeting transformation and cleaning of data. However, while schema design, data cleaning, and data…

Databases · Computer Science 2017-03-28 Rada Chirkova , Jon Doyle , Juan L. Reutter

We give the first approximation algorithm for mixed packing and covering semidefinite programs (SDPs) with polylogarithmic dependence on width. Mixed packing and covering SDPs constitute a fundamental algorithmic primitive with recent…

Data Structures and Algorithms · Computer Science 2021-07-13 Arun Jambulapati , Yin Tat Lee , Jerry Li , Swati Padmanabhan , Kevin Tian

In our paper, we consider the following general problems: check feasibility, count the number of feasible solutions, find an optimal solution, and count the number of optimal solutions in $P \cap Z^n$, assuming that $P$ is a polyhedron,…

Computational Complexity · Computer Science 2024-01-23 Dmitry Gribanov , Dmitry Malyshev , Nikolai Zolotykh

Machine learning applications are increasingly deployed not only to serve predictions using static models, but also as tightly-integrated components of feedback loops involving dynamic, real-time decision making. These applications pose a…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-23 Robert Nishihara , Philipp Moritz , Stephanie Wang , Alexey Tumanov , William Paul , Johann Schleier-Smith , Richard Liaw , Mehrdad Niknami , Michael I. Jordan , Ion Stoica

In this paper we design and analyze algorithms for asynchronously solving linear programs using nonlinear signal processing structures. In particular, we discuss a general procedure for generating these structures such that a fixed-point of…

Optimization and Control · Mathematics 2015-03-03 Tarek A. Lahlou , Thomas A. Baran

We present fastrerandomize, an R package for fast, scalable rerandomization in experimental design. Rerandomization improves precision by discarding treatment assignments that fail a prespecified covariate-balance criterion, but existing…

Computation · Statistics 2026-01-09 Rebecca Goldstein , Connor T. Jerzak , Aniket Kamat , Fucheng Warren Zhu
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