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Probabilistic graphical models (PGMs) serve as a powerful framework for modeling complex systems with uncertainty and extracting valuable insights from data. However, users face challenges when applying PGMs to their problems in terms of…

Machine Learning · Computer Science 2024-05-29 Jiantong Jiang , Zeyi Wen , Peiyu Yang , Atif Mansoor , Ajmal Mian

OpenGM is a C++ template library for defining discrete graphical models and performing inference on these models, using a wide range of state-of-the-art algorithms. No restrictions are imposed on the factor graph to allow for higher-order…

Artificial Intelligence · Computer Science 2012-06-04 Bjoern Andres , Thorsten Beier , Joerg H. Kappes

The article presents and evaluates a scalable FRaGenLP algorithm for generating random linear programming problems of large dimension $n$ on cluster computing systems. To ensure the consistency of the problem and the boundedness of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-29 Leonid B. Sokolinsky , Irina M. Sokolinskaya

High-performance learned image compression codecs require flexible probability models to fit latent representations. Gaussian Mixture Models (GMMs) were proposed to satisfy this demand, but suffer from a significant runtime performance…

Image and Video Processing · Electrical Eng. & Systems 2025-09-24 Shimon Murai , Fangzheng Lin , Jiro Katto

Despite their promise and ubiquity, Gaussian processes (GPs) can be difficult to use in practice due to the computational impediments of fitting and sampling from them. Here we discuss a short R package for efficient multivariate normal…

Computation · Statistics 2015-07-23 Giri Gopalan , Luke Bornn

Geometric predicates are at the core of many algorithms, such as the construction of Delaunay triangulations, mesh processing and spatial relation tests. These algorithms have applications in scientific computing, geographic information…

Numerical Analysis · Mathematics 2023-08-01 Tinko Bartels , Vissarion Fisikopoulos , Martin Weiser

Nonlinear reformulations of the spectral clustering method have gained a lot of recent attention due to their increased numerical benefits and their solid mathematical background. However, the estimation of the multiple nonlinear…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-27 Dimosthenis Pasadakis , Olaf Schenk , Verner Vlacic , Albert-Jan Yzelman

FastFlow is a structured parallel programming framework targeting shared memory multicores. Its layered design and the optimized implementation of the communication mechanisms used to implement the FastFlow streaming networks provided to…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-04-25 Marco Aldinucci , Marco Danelutto , Massimo Torquati

High Performance Computing (HPC) platforms allow scientists to model computationally intensive algorithms. HPC clusters increasingly use General-Purpose Graphics Processing Units (GPGPUs) as accelerators; FPGAs provide an attractive…

Hardware Architecture · Computer Science 2015-04-20 Syed Waqar Nabi , Saji N. Hameed , Wim Vanderbauwhede

We present a hardware-accelerated SAT solver targeting processor/Field Programmable Gate Arrays (FPGA) SoCs. Our solution accelerates the most expensive subroutine of the Davis-Putnam-Logemann-Loveland (DPLL) algorithm, Boolean Constraint…

Hardware Architecture · Computer Science 2024-04-16 Hariprasadh Govindasamy , Babak Esfandiari , Paulo Garcia

Cosmological perturbation theory is a powerful tool to predict the statistics of large-scale structure in the weakly non-linear regime, but even at 1-loop order it results in computationally expensive mode-coupling integrals. Here we…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-17 Xiao Fang , Jonathan A. Blazek , Joseph E. McEwen , Christopher M. Hirata

Molecular dynamics simulations play an increasingly important role in the rational design of (nano)-materials and in the study of biomacromolecules. However, generating input files and realistic starting coordinates for these simulations is…

Conformal blocks in odd spacetime dimensions are not known in closed analytic form. To facilitate efficient computations in the conformal bootstrap, we introduce $\texttt{GoBlocks}$: a novel conformal-block generator implemented in the Go…

High Energy Physics - Theory · Physics 2026-04-17 James Chryssanthacopoulos , Vasilis Niarchos , Constantinos Papageorgakis , Alexander G. Stapleton

Scalable surrogate models enable efficient emulation of computer models (or simulators), particularly when dealing with large ensembles of runs. While Gaussian process (GP) models are commonly employed for emulation, they face limitations…

Methodology · Statistics 2025-10-07 Grant Hutchings , Derek Bingham , Kellin Rumsey , Earl Lawrence

The Barnes-Hut and Fast Multipole Methods are widely utilised methods applied in order to reduce the computational cost of evaluating long range forces in $N$-body simulations. Despite this, applying existing libraries to simple problems…

Computational Physics · Physics 2020-05-27 Ryan Alexander Pepper , Hans Fangohr

Nonlinearities in the gravitational evolution, galaxy bias, and redshift-space distortion drive the observed galaxy density fields away from the initial near-Gaussian states. Exploiting such a non-Gaussian galaxy density field requires…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-04 Joseph Tomlinson , Donghui Jeong , Juhan Kim

We present PDFFlow, a new software for fast evaluation of parton distribution functions (PDFs) designed for platforms with hardware accelerators. PDFs are essential for the calculation of particle physics observables through Monte Carlo…

High Energy Physics - Phenomenology · Physics 2021-05-19 Stefano Carrazza , Juan M. Cruz-Martinez , Marco Rossi

We introduce PyTorch Geometric, a library for deep learning on irregularly structured input data such as graphs, point clouds and manifolds, built upon PyTorch. In addition to general graph data structures and processing methods, it…

Machine Learning · Computer Science 2019-04-26 Matthias Fey , Jan Eric Lenssen

Coarse grid projection (CGP) is a multiresolution technique for accelerating numerical calculations associated with a set of nonlinear evolutionary equations along with the stiff Poisson equations. In this article we use CGP for the first…

Computational Physics · Physics 2020-03-03 Ali Kashefi

While fast multipole methods (FMMs) are in widespread use for the rapid evaluation of potential fields governed by the Laplace, Helmholtz, Maxwell or Stokes equations, their coupling to high-order quadratures for evaluating layer potentials…

Numerical Analysis · Mathematics 2021-04-26 Leslie Greengard , Michael O'Neil , Manas Rachh , Felipe Vico