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In this report we document performance test results on a SUNDIALS-based multiphysics demonstration application. We aim to assess the large-scale parallel performance of new capabilities that have been added to the SUNDIALS suite of time…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-01 Daniel R. Reynolds , David J. Gardner , Cody J. Balos , Carol S. Woodward

We propose two parallel state-space exploration algorithms for hybrid systems with the goal of enhancing performance on multi-core shared memory systems. The first is an adaption of the parallel breadth first search in the SPIN model…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-27 Amit Gurung , Arup Deka , Ezio Bartocci , Sergiy Bogomolov , Radu Grosu , Rajarshi Ray

MPI-Rockstar is a massively parallel halo finder based on the Rockstar phase-space temporal halo finder code, which is one of the most extensively used halo finding codes. Compared to the original code, parallelized by a primitive socket…

Instrumentation and Methods for Astrophysics · Physics 2026-05-05 Tomoyuki Tokuue , Tomoaki Ishiyama , Ken Osato , Satoshi Tanaka , Peter Behroozi

We study preconditioned proximal point methods for a class of saddle point problems, where the preconditioner decouples the overall proximal point method into an alternating primal--dual method. This is akin to the Chambolle--Pock method or…

Optimization and Control · Mathematics 2020-02-13 Tuomo Valkonen

The DD-CPM software library provides a set of tools for the discretization and solution of problems arising from the closest point method (CPM) for partial differential equations on surfaces. The solvers are built on top of the well-known…

Numerical Analysis · Mathematics 2022-09-28 Ian C. T. May , Ronald D. Haynes , Steven J. Ruuth

Processors with large numbers of cores are becoming commonplace. In order to take advantage of the available resources in these systems, the programming paradigm has to move towards increased parallelism. However, increasing the level of…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-07 Ashkan Tousimojarad , Wim Vanderbauwhede

In this paper we present the Task-Aware MPI library (TAMPI) that integrates both blocking and non-blocking MPI primitives with task-based programming models. The TAMPI library leverages two new runtime APIs to improve both programmability…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-01 Kevin Sala , Xavier Teruel , Josep M. Perez , Antonio J. Peña , Vicenç Beltran , Jesus Labarta

Alternating Direction Method of Multipliers (ADMM) has become a widely used optimization method for convex problems, particularly in the context of data mining in which large optimization problems are often encountered. ADMM has several…

Machine Learning · Statistics 2019-07-11 Andre Goncalves , Xiaoli Liu , Arindam Banerjee

Efficient simulation of complex plasma dynamics is crucial for advancing fusion energy research. Particle-in-Cell (PIC) Monte Carlo (MC) simulations provide insights into plasma behavior, including turbulence and confinement, which are…

We present ForwardDiff, a Julia package for forward-mode automatic differentiation (AD) featuring performance competitive with low-level languages like C++. Unlike recently developed AD tools in other popular high-level languages such as…

Mathematical Software · Computer Science 2016-07-28 Jarrett Revels , Miles Lubin , Theodore Papamarkou

We are presenting a modification of the well-known Alternating Direction Method of Multipliers (ADMM) algorithm with additional preconditioning that aims at solving convex optimisation problems with nonlinear operator constraints.…

Numerical Analysis · Mathematics 2020-02-13 Martin Benning , Florian Knoll , Carola-Bibiane Schönlieb , Tuomo Valkonen

In this paper we introduce DiffSharp, an automatic differentiation (AD) library designed with machine learning in mind. AD is a family of techniques that evaluate derivatives at machine precision with only a small constant factor of…

Mathematical Software · Computer Science 2015-11-30 Atilim Gunes Baydin , Barak A. Pearlmutter , Jeffrey Mark Siskind

Primal-Dual Interior-Point methods are capable of solving constrained convex optimization problems to tight tolerances in a fast and robust manner. The derivatives of the primal-dual solution with respect to the problem matrices can be…

Optimization and Control · Mathematics 2024-06-21 Kevin Tracy , Zachary Manchester

Probing in mixed-integer programming (MIP) is a technique of temporarily fixing variables to discover implications that are useful to branch-and-cut solvers. Such fixing is typically performed one variable at a time -- this paper develops…

Optimization and Control · Mathematics 2025-11-11 Yongzheng Dai , Chen Chen

For scientific machine learning tasks with a lot of custom code, picking the right Automatic Differentiation (AD) system matters. Our Julia package DifferentiationInterface$.$jl provides a common frontend to a dozen AD backends, unlocking…

Mathematical Software · Computer Science 2025-05-19 Guillaume Dalle , Adrian Hill

The application of operator overloading algorithmic differentiation (AD) to computer programs in order to compute the derivative is quite common. But, the replacement of the underlying computational floating point type with the specialized…

Mathematical Software · Computer Science 2026-02-18 Max Sagebaum , Nicolas R. Gauger

MPI is the de facto standard for parallel computing on a cluster of computers. Checkpointing is an important component in any strategy for software resilience and for long-running jobs that must be executed by chaining together time-bounded…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-06 Yao Xu , Gene Cooperman

On modern supercomputers, asynchronous many task systems are emerging to address the new architecture of computational nodes. Through this shift of increasing cores per node, a new programming model with the focus on handle the fine-grain…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-02 Patrick Diehl , Prashant K. Jha , Hartmut Kaiser , Robert Lipton , Martin Levesque

The solution of large sparse linear systems is often the most time-consuming part of many science and engineering applications. Computational fluid dynamics, circuit simulation, power network analysis, and material science are just a few…

Numerical Analysis · Computer Science 2011-09-20 Murat Manguoglu

Conventional online multi-task learning algorithms suffer from two critical limitations: 1) Heavy communication caused by delivering high velocity of sequential data to a central machine; 2) Expensive runtime complexity for building task…

Machine Learning · Statistics 2020-04-06 Peng Yang , Ping Li
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