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This article surveys the Euler calculus - an integral calculus based on Euler characteristic - and its applications to data, sensing, networks, and imaging.

Algebraic Topology · Mathematics 2012-02-03 Justin Curry , Robert Ghrist , Michael Robinson

In this paper, we propose a novel flexible optimization pipeline for determining the optimal adsorption sites, named AUGUR (Aware of Uncertainty Graph Unit Regression). Our model combines graph neural networks and Gaussian processes to…

Chemical Physics · Physics 2024-09-25 Ioannis Kouroudis , Poonam , Neel Misciaci , Felix Mayr , Leon Müller , Zhaosu Gu , Alessio Gagliardi

ArchNEMESIS is an open-source Python package developed for the analysis of remote sensing spectroscopic observations of planetary atmospheres. It is based on the widely used NEMESIS radiative transfer and retrieval tool, which has been…

Instrumentation and Methods for Astrophysics · Physics 2025-07-29 Juan Alday , Joseph Penn , Patrick G. J. Irwin , Jonathon P. Mason , Jingxuan Yang

A new deterministic floating-point arithmetic called precision arithmetic is developed to track precision for arithmetic calculations. It uses a novel rounding scheme to avoid excessive rounding error propagation of conventional…

Discrete Mathematics · Computer Science 2025-10-20 Chengpu Wang

We present PyXtal FF, a package based on Python programming language, for developing machine learning potentials (MLPs). The aim of PyXtal FF is to promote the application of atomistic simulations by providing several choices of structural…

Computational Physics · Physics 2023-01-03 Howard Yanxon , David Zagaceta , Binh Tang , David Matteson , Qiang Zhu

The weighted Euler characteristic transform (WECT) and Euler characteristic function (ECF) have proven to be useful tools in a variety of applications. However, current methods for computing these functions are either not optimized for GPU…

Computational Geometry · Computer Science 2026-04-06 Jessi Cisewski-Kehe , Brittany Terese Fasy , Alexander McCleary , Eli Quist

We discuss the application of computer algebra to problems commonly arising in numerical relativity, such as the derivation of 3+1-splits, manipulation of evolution equations and automatic code generation. Particular emphasis is put on…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sascha Husa , Christiane Lechner

fgivenx is a Python package for functional posterior plotting, currently used in astronomy, but will be of use to scientists performing any Bayesian analysis which has predictive posteriors that are functions. The source code for fgivenx is…

Instrumentation and Methods for Astrophysics · Physics 2019-08-06 Will Handley

We present Lenstronomy, a multi-purpose open-source gravitational lens modeling python package. Lenstronomy is able to reconstruct the lens mass and surface brightness distributions of strong lensing systems using forward modelling.…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-14 Simon Birrer , Adam Amara

A novel model of reversible computing, the $\aleph$-calculus, is introduced. It is declarative, reversible-Turing complete, and has a local term-rewriting semantics. Unlike previously demonstrated reversible term-rewriting systems, it does…

Programming Languages · Computer Science 2022-06-14 Hannah Earley

Reward learning is a fundamental problem in human-robot interaction to have robots that operate in alignment with what their human user wants. Many preference-based learning algorithms and active querying techniques have been proposed as a…

Machine Learning · Computer Science 2022-01-05 Erdem Bıyık , Aditi Talati , Dorsa Sadigh

Abstraction is a fundamental tool for reasoning about complex systems. Program abstraction has been utilized to great effect for analyzing deterministic programs. At the heart of program abstraction is the relationship between a concrete…

Artificial Intelligence · Computer Science 2017-07-17 Steven Holtzen , Todd Millstein , Guy Van den Broeck

We present an open source Python 3 library aimed at practitioners of molecular simulation, especially Monte Carlo simulation. The aims of the library are to facilitate the generation of simulation data for a wide range of problems; and to…

We present GPR_calculator, a package based on Python and C++ programming languages to build an on-the-fly surrogate model using Gaussian Process Regression (GPR) to approximate expensive electronic structure calculations. The key idea is to…

Materials Science · Physics 2026-01-30 Isaac Onyango , Byungkyun Kang , Qiang Zhu

For almost a century, since Bernal\'s attempts at a molecular theory of liquid structure(Bernal [1]), correlation functions have been the bridge to compare theoretical calculations with experimental measurements in the study of disordered…

Information theory, i.e. the mathematical analysis of information and of its processing, has become a tenet of modern science; yet, its use in real-world studies is usually hindered by its computational complexity, the lack of coherent…

Physics and Society · Physics 2025-08-18 Carlson Moses Büth , Kishor Acharya , Massimiliano Zanin

This paper describes a novel Python package, named causalgraph, for modeling and saving causal graphs embedded in knowledge graphs. The package has been designed to provide an interface between causal disciplines such as causal discovery…

Artificial Intelligence · Computer Science 2023-01-23 Sven Pieper , Carl Willy Mehling , Dominik Hirsch , Tobias Lüke , Steffen Ihlenfeldt

Programmable arrays of hundreds of Rydberg atoms have recently enabled the exploration of remarkable phenomena in many-body quantum physics. In addition, the development of high-fidelity quantum gates are making them promising architectures…

A complete and rigorously validated open-source Python framework to automate point defect calculations using density functional theory has been developed. The framework provides an effective and efficient method for defect structure…

Materials Science · Physics 2021-04-01 Anuj Goyal , Prashun Gorai , Haowei Peng , Stephan Lany , Vladan Stevanovic

We present the pulsar_spectra software repository, an open-source pulsar flux density catalogue and automated spectral fitting software that finds the best spectral model and produces publication-quality plots. The Python-based software…

High Energy Astrophysical Phenomena · Physics 2022-11-09 N. A. Swainston , C. P. Lee , S. J. McSweeney , N. D. R. Bhat