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We propose a partially linear additive Gaussian graphical model (PLA-GGM) for the estimation of associations between random variables distorted by observed confounders. Model parameters are estimated using an $L_1$-regularized maximal…

Machine Learning · Computer Science 2019-06-11 Sinong Geng , Minhao Yan , Mladen Kolar , Oluwasanmi Koyejo

Near linear scaling fragment based quantum chemical calculations are becoming increasingly popular for treating large systems with high accuracy and is an active field of research. However, it remains difficult to set up these calculations…

Computational Engineering, Finance, and Science · Computer Science 2012-09-20 Casper Steinmann , Mikael W. Ibsen , Anne S. Hansen , Jan H. Jensen

Linear solvers for large and sparse systems are a key element of scientific applications, and their efficient implementation is necessary to harness the computational power of current computers. Algebraic MultiGrid (AMG) preconditioners are…

Numerical Analysis · Mathematics 2022-04-25 Pasqua D'Ambra , Fabio Durastante , Salvatore Filippone

We present the Mathematica package $\texttt{MultiHypExp}$ that allows for the expansion of multivariate hypergeometric functions (MHFs), especially those likely to appear as solutions of multi-loop, multi-scale Feynman integrals, in the…

High Energy Physics - Theory · Physics 2024-01-15 Souvik Bera

This article introduces the pammtools package, which facilitates data transformation, estimation and interpretation of Piece-wise exponential Additive Mixed Models. A special focus is on time-varying effects and cumulative effects of…

Computation · Statistics 2018-06-05 Andreas Bender , Fabian Scheipl

Creating interactive scenes often involves complex programming tasks. Although large language models (LLMs) like ChatGPT can generate code from natural language, their output is often error-prone, particularly when scripting interactions…

Human-Computer Interaction · Computer Science 2025-02-10 Hui Ye , Chufeng Xiao , Jiaye Leng , Pengfei Xu , Hongbo Fu

Nonlinear mixed effects modeling is a powerful tool when analyzing data from several entities in an experiment. In this paper, we present NLMEModeling, a package for mixed effects modeling in Wolfram Mathematica. NLMEModeling supports mixed…

Computation · Statistics 2020-11-16 Jacob Leander , Joachim Almquist , Anna Johnning , Julia Larsson , Mats Jirstrand

The tangent plane scheme is a time-marching scheme for the numerical solution of the nonlinear parabolic Landau-Lifshitz-Gilbert equation (LLG), which describes the time evolution of ferromagnetic configurations. Exploiting the geometric…

Numerical Analysis · Mathematics 2020-03-03 Johannes Kraus , Carl-Martin Pfeiler , Dirk Praetorius , Michele Ruggeri , Bernhard Stiftner

Machine-learned interatomic potentials have revolutionized molecular dynamics simulations by providing quantum-mechanical accuracy at empirical-potential speeds. The graphics processing unit molecular dynamics (GPUMD) package, featuring the…

We introduce a diagrammatic quantum field formalism for the evaluation of normalized expectation values of operators, and suitable for systems with localized electrons. It is used to develop a convergent series expansion for the energy in…

Other Condensed Matter · Physics 2009-11-13 S. A. Bonev , N. W. Ashcroft

We introduce the R package ContaminatedMixt, conceived to disseminate the use of mixtures of multivariate contaminated normal distributions as a tool for robust clustering and classification under the common assumption of elliptically…

Computation · Statistics 2016-06-14 Antonio Punzo , Angelo Mazza , Paul D. McNicholas

Probabilistic graphical models (PGMs) are tools for solving complex probabilistic relationships. However, suboptimal PGM structures are primarily used in practice. This dissertation presents three contributions to the PGM literature. The…

Machine Learning · Computer Science 2022-05-27 Simon Streicher

A non-conventional finite element formalism is proposed to solve the dynamic Landau-Lifshitz-Gilbert micromagnetic equations. Two bidimensional test problems are treated to estimate the validity and the accuracy of this finite element…

This paper discusses parGeMSLR, a C++/MPI software library for the solution of sparse systems of linear algebraic equations via preconditioned Krylov subspace methods in distributed-memory computing environments. The preconditioner…

Mathematical Software · Computer Science 2022-05-09 Tianshi Xu , Vassilis Kalantzis , Ruipeng Li , Yuanzhe Xi , Geoffrey Dillon , Yousef Saad

This work deals with the optimization of computer programs targeting Graphics Processing Units (GPUs). The goal is to lift, from programmers to optimizing compilers, the heavy burden of determining program details that are dependent on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-16 Xiaohui Chen , Marc Moreno-Maza , Jeeva Paudel , Ning Xie

The implementation of discontinuous Galerkin finite element methods (DGFEMs) represents a very challenging computational task, particularly for systems of coupled nonlinear PDEs, including multiphysics problems, whose parameters may consist…

Numerical Analysis · Computer Science 2018-04-09 Paul Houston , Nathan Sime

The present work is a proof of concept of the capabilities of paralellization in the calculation of metamaterials in a non-linear regime. In this work we subdivided the bulk material into subregions where the mechanical properties are…

Materials Science · Physics 2023-11-28 Antonio Tabanera , Luis Saucedo-Mora , Miguel Angel Sanz , Francisco J. Montans

Computational micromagnetics requires numerical solution of partial differential equations to resolve complex interactions in magnetic nanomaterials. The Virtual Micromagnetics project described here provides virtual machine simulation…

Other Computer Science · Computer Science 2016-11-28 Mark Vousden , Marc-Antonio Bisotti , Maximilian Albert , Hans Fangohr

Particulate composites underpin many solid-state chemical and electrochemical systems, where microstructural features such as multiphase boundaries and inter-particle connections strongly influence system performance. Advances in X-ray…

Materials Science · Physics 2026-05-19 Zebin Li , Shimao Deng , Yijin Liu , Jia-Mian Hu

We present the first general purpose framework for marginal maximum a posteriori estimation of probabilistic program variables. By using a series of code transformations, the evidence of any probabilistic program, and therefore of any…

Machine Learning · Statistics 2017-07-17 Tom Rainforth , Tuan Anh Le , Jan-Willem van de Meent , Michael A. Osborne , Frank Wood