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Fully homomorphic encryption (FHE) and zero-knowledge proofs (ZKPs) are emerging as solutions for data security in distributed environments. However, the widespread adoption of these encryption techniques is hindered by their significant…

Programming Languages · Computer Science 2025-01-14 Naifeng Zhang , Franz Franchetti

Mathematical error detection in educational settings presents a significant challenge for Multimodal Large Language Models (MLLMs), requiring a sophisticated understanding of both visual and textual mathematical content along with complex…

Computation and Language · Computer Science 2025-05-21 Yibo Yan , Shen Wang , Jiahao Huo , Philip S. Yu , Xuming Hu , Qingsong Wen

The Finite Element Method (FEM) is a powerful computational tool for solving partial differential equations (PDEs). Although commercial and open-source FEM software packages are widely available, an independent implementation of FEM…

Numerical Analysis · Mathematics 2025-02-06 Victor Dominguez , Alejandro Duque

CalcHEP is a package for computation of Feynman diagrams and integration over multi-particle phase space. The main idea prescribed into CalcHEP is to make available passing on from Lagrangians to the final distributions effectively with a…

High Energy Physics - Phenomenology · Physics 2009-10-21 Alexander Pukhov

A master-worker architecture is presented for obtaining combined experimental results through joint fits of datasets from several experiments. The design of the architecture allows such joint fits to be performed keeping the data separated,…

Data Analysis, Statistics and Probability · Physics 2018-04-10 Eli Ben-Haim , René Brun , Bertrand Echenard , Thomas E. Latham

A software toolkit for the simulation of activation background for high energy detectors onboard satellites is presented on behalf of the HERMES-SP collaboration. The framework employs direct Monte Carlo and analytical calculations allowing…

Instrumentation and Methods for Astrophysics · Physics 2021-01-12 G. Galgoczi , J. Ripa , G. Dilillo , M. Ohno , R. Campana , N. Werner

We give an introduction to the Einstein Toolkit, a mature, open-source computational infrastructure for numerical relativity based on the Cactus Framework, for the target group of new users. This toolkit is composed of several different…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Miguel Zilhão , Frank Löffler

Principal Component Analysis (PCA) is a fundamental tool for data visualization, denoising, and dimensionality reduction. It is widely popular in Statistics, Machine Learning, Computer Vision, and related fields. However, PCA is well-known…

Machine Learning · Statistics 2023-07-21 Debolina Paul , Saptarshi Chakraborty , Swagatam Das

The promise of machine learning has been explored in a variety of scientific disciplines in the last few years, however, its application on first-principles based computationally expensive tools is still in nascent stage. Even with the…

Data Analysis, Statistics and Probability · Physics 2019-07-16 Prashant Kumar , Kushal Sinha , Nandkishor Nere , Yujin Shin , Raimundo Ho , Ahmad Sheikh , Laurie Mlinar

Large language models are transforming all areas of academia and industry, attracting the attention of researchers, professionals, and the general public. In the trek for more powerful architectures, Mixture-of-Experts, inspired by ensemble…

Machine Learning · Computer Science 2026-04-14 Luis Balderas , Miguel Lastra , José M. Benítez

We present a Python package called Modular Petri Net Assembly Toolkit (MPAT) that empowers users to easily create large-scale, modular Petri Nets for various spatial configurations, including extensive spatial grids or those derived from…

Mathematical Software · Computer Science 2025-07-03 Stefano Chiaradonna , Petar Jevtic , Beckett Sterner

This paper presents the first time implementation of the eXtended Finite Element Method (XFEM) in the general purpose commercial software COMSOL Multiphysics. An enrichment strategy is proposed, consistent with the structure of the…

Computational Engineering, Finance, and Science · Computer Science 2021-09-08 Ahmad Jafari , Pooyan Broumand , Mohammad Vahab , Nasser Khalili

We consider a linearly elastic composite medium, which consists of a homogeneous matrix containing a statistically homogeneous set of multimodal spherical inclusions modeling the morphology of heterogeneous solid propellants (HSP).…

Materials Science · Physics 2012-09-21 V. A. Buryachenko

Modular integer arithmetic occurs in many algorithms for computer algebra, cryptography, and error correcting codes. Although recent microprocessors typically offer a wide range of highly optimized arithmetic functions, modular integer…

Mathematical Software · Computer Science 2014-07-15 Joris van der Hoeven , Grégoire Lecerf , Guillaume Quintin

This paper introduces PolyDiM, an open-source C++ library tailored for the development and implementation of polytopal discretization methods for partial differential equations. The library provides robust and modular tools to support…

Numerical Analysis · Mathematics 2025-05-21 Stefano Berrone , Andrea Borio , Gioana Teora , Fabio Vicini

Force field-based molecular dynamics (MD) simulations are indispensable for probing the structure, dynamics, and functions of biomolecular systems, including proteins and protein-ligand complexes. Despite their broad utility in drug…

Artificial Intelligence · Computer Science 2025-12-12 Salomé Guilbert , Cassandra Masschelein , Jeremy Goumaz , Bohdan Naida , Philippe Schwaller

In recent years, Artificial Intelligence techniques have proved to be very successful when applied to problems in physical sciences. Here we apply an unsupervised Machine Learning (ML) algorithm called Principal Component Analysis (PCA) as…

Materials Science · Physics 2021-05-26 T. Tula , G. Möller , J. Quintanilla , S. R. Giblin , A. D. Hillier , E. E. McCabe , S. Ramos , D. S. Barker , S. Gibson

Multivariate linear mixed models (mvLMMs) have been widely used in many areas of genetics, and have attracted considerable recent interest in genome-wide association studies (GWASs). However, fitting mvLMMs is computationally non-trivial,…

Quantitative Methods · Quantitative Biology 2013-09-13 Xiang Zhou , Matthew Stephens

The image quality of the new generation of earthbound Extremely Large Telescopes (ELTs) is heavily influenced by atmospheric turbulences. To compensate these optical distortions a technique called adaptive optics (AO) is used. Many AO…

Numerical Analysis · Mathematics 2020-09-03 Bernadett Stadler , Roberto Biasi , Mauro Manetti , Ronny Ramlau

This study employed an artificial intelligence-enhanced molecular simulation framework to enable efficient Path Integral Molecular Dynamics (PIMD) simulations. Owing to its modular architecture and high-throughput capabilities, the…

Chemical Physics · Physics 2025-04-01 Cheng Fan , Maodong Li , Sihao Yuan , Zhaoxin Xie , Dechin Chen , Yi Isaac Yang , Yi Qin Gao
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