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Correlation among the observations in high-dimensional regression modeling can be a major source of confounding. We present a new open-source package, plmmr, to implement penalized linear mixed models in R. This R package estimates…

Computation · Statistics 2026-05-13 Tabitha K. Peter , Anna C. Reisetter , Yujing Lu , Oscar A. Rysavy , Patrick J. Breheny

One of the most attractive features of R is its linear modeling capabilities. We describe a Python package, salmon, that brings the best of R's linear modeling functionality to Python in a Pythonic way -- by providing composable objects for…

Computation · Statistics 2024-04-01 Alex Boyd , Dennis L. Sun

The goal of hyperparameter tuning (or hyperparameter optimization) is to optimize the hyperparameters to improve the performance of the machine or deep learning model. spotPython (``Sequential Parameter Optimization Toolbox in Python'') is…

Machine Learning · Computer Science 2023-06-08 Thomas Bartz-Beielstein

Cooper is an open-source package for solving constrained optimization problems involving deep learning models. Cooper implements several Lagrangian-based first-order update schemes, making it easy to combine constrained optimization…

Machine Learning · Computer Science 2025-04-03 Jose Gallego-Posada , Juan Ramirez , Meraj Hashemizadeh , Simon Lacoste-Julien

Python has become the de-facto language for training deep neural networks, coupling a large suite of scientific computing libraries with efficient libraries for tensor computation such as PyTorch or TensorFlow. However, when models are used…

Machine Learning · Computer Science 2021-04-02 Zachary DeVito , Jason Ansel , Will Constable , Michael Suo , Ailing Zhang , Kim Hazelwood

For a large class of polynomials, the standard method of polynomial evaluation, Horner's method, can be very inaccurate. The alternative method given here is on average 100 to 1000 times more accurate than Horner's Method. The number of…

Numerical Analysis · Mathematics 2008-05-22 Brian M. Sutin

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

Combinatorial experiments involve synthesis of sample libraries with lateral composition gradients requiring spatially-resolved characterization of structure and properties. Due to maturation of combinatorial methods and their successful…

We present IntU package for Mathematica computer algebra system. The presented package performs a symbolic integration of polynomial functions over the unitary group with respect to unique normalized Haar measure. We describe a number of…

Computational Physics · Physics 2020-07-30 Zbigniew Puchała , Jarosław Adam Miszczak

We present the $\textit{NumericalImplicitization}$ package for $\textit{Macaulay2}$, which allows for user-friendly computation of the invariants of the image of a polynomial map, such as dimension, degree, and Hilbert function values. This…

Algebraic Geometry · Mathematics 2019-10-16 Justin Chen , Joe Kileel

The purpose of this paper is to show how existing scientific software can be parallelized using a separate thin layer of Python code where all parallel communication is implemented. We provide specific examples on such layers of code, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-18 Jon K. Nilsen , Xing Cai , Bjorn Hoyland , Hans Petter Langtangen

This document contains the mathematical introduction to RORPack - a Python software library for robust output tracking and disturbance rejection for linear PDE systems. The RORPack library is open-source and freely available at…

Optimization and Control · Mathematics 2019-02-27 Lassi Paunonen

High performance computing has been used in various fields of astrophysical research. But most of it is implemented on massively parallel systems (supercomputers) or graphical processing unit clusters. With the advent of multicore…

Instrumentation and Methods for Astrophysics · Physics 2013-07-30 Navtej Singh , Lisa-Marie Browne , Ray Butler

We show how automatic tools for the verification of linear and branching time properties of procedural, multi-threaded, and functional programs as well as program synthesis can be naturally and uniformly seen as solvers of constraints in…

Logic in Computer Science · Computer Science 2014-06-02 Andrey Rybalchenko

We present GrassmannTN, a Python package for the computation of the Grassmann tensor network. The package is built to assist in the numerical computation without the need to input the fermionic sign factor manually. It prioritizes coding…

High Energy Physics - Lattice · Physics 2024-01-18 Atis Yosprakob

Polynomial regression is widely used and can help to express nonlinear patterns. However, considering very high polynomial orders may lead to overfitting and poor extrapolation ability for unseen data. The paper presents a method for…

Machine Learning · Computer Science 2023-08-01 Andrei Ivanov , Stefan Maria Ailuro

Robust estimation provides essential tools for analyzing data that contain outliers, ensuring that statistical models remain reliable even in the presence of some anomalous data. While robust methods have long been available in R, users of…

Computation · Statistics 2024-11-05 Sarah Leyder , Jakob Raymaekers , Peter J. Rousseeuw , Thomas Servotte , Tim Verdonck

We present fully polynomial approximation schemes for a broad class of Holant problems with complex edge weights, which we call Holant polynomials. We transform these problems into partition functions of abstract combinatorial structures…

Data Structures and Algorithms · Computer Science 2023-06-22 Katrin Casel , Philipp Fischbeck , Tobias Friedrich , Andreas Göbel , J. A. Gregor Lagodzinski

Understanding astrophysical and cosmological processes can be challenging due to their complexity and lack of intuitive analogies. To address this, we present \texttt{AstronomyCalc}, a Python package specifically designed to aid…

Physics Education · Physics 2025-11-26 Sambit K. Giri

HYPERDIRE is a project devoted to the creation of a set of Mathematica-based programs for the differential reduction of hypergeometric functions. The current version allows for manipulations involving the full set of Horn-type…

Mathematical Physics · Physics 2015-06-17 V. Bytev , B. Kniehl