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We introduce SPIRAL, a SuPerlinearly convergent Incremental pRoximal ALgorithm, for solving nonconvex regularized finite sum problems under a relative smoothness assumption. Each iteration of SPIRAL consists of an inner and an outer loop.…

Optimization and Control · Mathematics 2024-04-30 Pourya Behmandpoor , Puya Latafat , Andreas Themelis , Marc Moonen , Panagiotis Patrinos

In this era of diverse and heterogeneous computer architectures, the programmability issues, such as productivity and portable efficiency, are crucial to software development and algorithm design. One way to approach the problem is to step…

Mathematical Software · Computer Science 2012-07-10 Mauro Bianco , Ugo Varetto

Presolving has become an essential component of modern MIP solvers both in terms of computational performance and numerical robustness. In this paper, we present PaPILO, a new C++ header-only library that provides a large set of presolving…

Optimization and Control · Mathematics 2024-03-21 Ambros Gleixner , Leona Gottwald , Alexander Hoen

This paper presents SPIROS (Streamlined, Precise, Intuitive, and Rapid Optical Simulator), a dedicated optical simulation tool developed for the design and analysis of particle physics detectors. Unlike general-purpose frameworks such as…

Instrumentation and Detectors · Physics 2026-04-10 Tatsuya Kikawa

Stencil computations are a key part of many high-performance computing applications, such as image processing, convolutional neural networks, and finite-difference solvers for partial differential equations. Devito is a framework capable of…

We present a computational method for extreme-scale simulations of incompressible turbulent wall flows at high Reynolds numbers. The numerical algorithm extends a popular method for solving second-order finite differences Poisson/Helmholtz…

Fluid Dynamics · Physics 2025-08-07 Rafael Diez Sanhueza , Jurriaan Peeters , Pedro Costa

TensorX is a Python library for prototyping, design, and deployment of complex neural network models in TensorFlow. A special emphasis is put on ease of use, performance, and API consistency. It aims to make available high-level components…

Machine Learning · Computer Science 2021-01-05 Davide Nunes , Luis Antunes

Stochastic algorithms are efficient approaches to solving machine learning and optimization problems. In this paper, we propose a general framework called Splash for parallelizing stochastic algorithms on multi-node distributed systems.…

Machine Learning · Computer Science 2015-09-24 Yuchen Zhang , Michael I. Jordan

Developers of Molecular Dynamics (MD) codes face significant challenges when adapting existing simulation packages to new hardware. In a continuously diversifying hardware landscape it becomes increasingly difficult for scientists to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-14 William R. Saunders , James Grant , Eike H. Müller

Operator-splitting methods are widespread in the numerical solution of differential equations, especially the initial-value problems in ordinary differential equations that arise from a method-of-lines discretization of partial differential…

Numerical Analysis · Mathematics 2024-07-09 Victoria Guenter , Siqi Wei , Raymond J. Spiteri

In recent years, significant advances have been made in exoplanet and brown dwarf observations. By using state-of-the-art models, astronomers can determine properties of their atmospheres, such as temperatures, the presence of clouds, or…

Instrumentation and Methods for Astrophysics · Physics 2025-10-27 Sam de Regt , Siddharth Gandhi , Louis Siebenaler , Darío González Picos

Partial differential equations (PDEs) are crucial in modeling diverse phenomena across scientific disciplines, including seismic and medical imaging, computational fluid dynamics, image processing, and neural networks. Solving these PDEs at…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-07 George Bisbas , Rhodri Nelson , Mathias Louboutin , Fabio Luporini , Paul H. J. Kelly , Gerard Gorman

The rapidly growing size of RDF graphs in recent years necessitates distributed storage and parallel processing strategies. To obtain efficient query processing using computer clusters a wide variety of different approaches have been…

Databases · Computer Science 2018-02-19 Matteo Cossu , Michael Färber , Georg Lausen

Numerical simulations are ubiquitous in mathematics and computational science. Several industrial and clinical applications entail modeling complex multiphysics systems that evolve over a variety of spatial and temporal scales. This study…

Mathematical Software · Computer Science 2022-11-14 Pasquale Claudio Africa

Several forms for constructing novel physics-informed neural-networks (PINN) for the solution of partial-differential-algebraic equations based on derivative operator splitting are proposed, using the nonlinear Kirchhoff rod as a prototype…

Numerical Analysis · Mathematics 2026-05-05 Loc Vu-Quoc , Alexander Humer

We introduce SpDISTAL, a compiler for sparse tensor algebra that targets distributed systems. SpDISTAL combines separate descriptions of tensor algebra expressions, sparse data structures, data distribution, and computation distribution.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-29 Rohan Yadav , Alex Aiken , Fredrik Kjolstad

Distributed, large-scale quantum computing will need architectures that combine matter-based qubits with photonic links, but today's software stacks target either gate-based chips or linear-optical devices in isolation. We introduce Optyx,…

We present POLO --- a C++ library for large-scale parallel optimization research that emphasizes ease-of-use, flexibility and efficiency in algorithm design. It uses multiple inheritance and template programming to decompose algorithms into…

Optimization and Control · Mathematics 2018-10-09 Arda Aytekin , Martin Biel , Mikael Johansson

Deep learning has achieved remarkable success in diverse applications; however, its use in solving partial differential equations (PDEs) has emerged only recently. Here, we present an overview of physics-informed neural networks (PINNs),…

Machine Learning · Computer Science 2021-11-03 Lu Lu , Xuhui Meng , Zhiping Mao , George E. Karniadakis

This work introduces Pressio, an open-source project aimed at enabling leading-edge projection-based reduced order models (ROMs) for large-scale nonlinear dynamical systems in science and engineering. Pressio provides model-reduction…

Mathematical Software · Computer Science 2021-09-02 Francesco Rizzi , Patrick J. Blonigan , Eric J. Parish , Kevin T. Carlberg
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