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We survey some general-purpose symbolic software packages that implement algorithms from enumerative and analytic combinatorics. Software for the following areas is covered: basic combinatorial objects, symbolic combinatorics, P\'olya…

Mathematical Software · Computer Science 2016-01-13 Andrew MacFie

The vast use of computers on scientific numerical computation makes the awareness of the limited precision that these machines are able to provide us an essential matter. A limited and insufficient precision allied to the truncation and…

Numerical Analysis · Computer Science 2009-11-13 B. O. Rodrigues , L. A. C. P. da Mota , L. G. S. Duarte

We present TaylUR, a Fortran 95 module to automatically compute the numerical values of a complex-valued function's derivatives w.r.t. several variables up to an arbitrary order in each variable, but excluding mixed derivatives. Arithmetic…

Computational Physics · Physics 2007-05-23 G. M. von Hippel

Wavelength calibration is a routine and critical part of any spectral work-flow, but many astronomers still resort to matching detected peaks and emission lines by hand. We present RASCAL (RANSAC Assisted Spectral CALibration), a python…

Instrumentation and Methods for Astrophysics · Physics 2019-12-13 Josh Veitch-Michaelis , Marco C Lam

Increasingly more research areas rely on machine learning methods to accelerate discovery while saving resources. Machine learning models, however, usually require large datasets of experimental or computational results, which in certain…

Machine Learning · Computer Science 2024-10-24 Elizaveta Surzhikova , Jonny Proppe

We present celmech, an open-source Python package designed to facilitate a wide variety of celestial mechanics calculations. The package allows users to formulate and integrate equations of motion incorporating user-specified terms from the…

Earth and Planetary Astrophysics · Physics 2022-10-26 Sam Hadden , Daniel Tamayo

We present the Python package CELL, which provides a modular approach to the cluster expansion (CE) method. CELL can treat a wide variety of substitutional systems, including one-, two-, and three-dimensional alloys, in a general…

Materials Science · Physics 2023-10-30 Santiago Rigamonti , Maria Troppenz , Martin Kuban , Axel Hübner , Claudia Draxl

RadVel is an open source Python package for modeling Keplerian orbits in radial velocity (RV) time series. RadVel provides a convenient framework to fit RVs using maximum a posteriori optimization and to compute robust confidence intervals…

Instrumentation and Methods for Astrophysics · Physics 2018-03-28 Benjamin J. Fulton , Erik A. Petigura , Sarah Blunt , Evan Sinukoff

The generation of artificial data based on existing observations, known as data augmentation, is a technique used in machine learning to improve model accuracy, generalisation, and to control overfitting. Augmentor is a software package,…

Computer Vision and Pattern Recognition · Computer Science 2017-08-18 Marcus D. Bloice , Christof Stocker , Andreas Holzinger

The R package quantreg.nonpar implements nonparametric quantile regression methods to estimate and make inference on partially linear quantile models. quantreg.nonpar obtains point estimates of the conditional quantile function and its…

Computation · Statistics 2017-10-18 Michael Lipsitz , Alexandre Belloni , Victor Chernozhukov , Iván Fernández-Val

In recent years, significant advances have been made in exoplanet and brown dwarf observations. By using state-of-the-art models, astronomers can determine properties of their atmospheres, such as temperatures, the presence of clouds, or…

Instrumentation and Methods for Astrophysics · Physics 2025-10-27 Sam de Regt , Siddharth Gandhi , Louis Siebenaler , Darío González Picos

Spreadsheets are widely used in various fields to do large numerical analysis. While several companies have relied on spreadsheets for decades, data scientists are going in the direction of using scientific programming languages such as…

Software Engineering · Computer Science 2022-11-14 Amir Nassereldine , Patrick Chen , Jinjun Xiong

CARTAN is an easy-to-use symbolic, tensor component package based on the popular Mathematica program. CARTAN makes use of the powerful formalism of rigid frames, and can return results both in this frame and in the coordinate basis. CARTAN…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Harald H. Soleng

Twistronics is an emerging and captivating field in condensed matter physics and material science. However, accurately and efficiently calculating the electronic structures of twisted systems remains a significant challenge. To address…

Materials Science · Physics 2026-05-27 Junxi Yu , Yichen Liu , Cheng-Cheng Liu

We present a new package ZpL for the mathematical software system SM. It implements a sharp tracking of precision on p-adic numbers, following the theory of ultrametric precision introduced in [4]. The underlying algorithms are mostly based…

Number Theory · Mathematics 2018-02-26 Xavier Caruso , David Roe , Tristan Vaccon

We describe an approximate rational arithmetic with round-off errors (both absolute and relative) controlled by the user. The rounding procedure is based on the continued fraction expansion of real numbers. Results of computer experiments…

Numerical Analysis · Mathematics 2025-10-20 Grigori Litvinov , Anatoli Rodionov , Andrei Chourkin

Users in many domains use machine learning (ML) predictions to help them make decisions. Effective ML-based decision-making often requires explanations of ML models and their predictions. While there are many algorithms that explain models,…

Machine Learning · Computer Science 2023-12-21 Alexandra Zytek , Wei-En Wang , Dongyu Liu , Laure Berti-Equille , Kalyan Veeramachaneni

We consider the statistical problem of estimating constituent curves from observations of their aggregated curves, referred to as aggregated functional data, in models with additive errors. A typical model arises in chemometrics via the…

Computation · Statistics 2026-04-07 Alex Rodrigo dos Santos Sousa , Vitor Ribas Perrone

This paper demonstrates how certified computational tools can be used to address various problems in control theory. In particular, we introduce PACE.jl, a Julia package that implements symbolic elimination techniques, including (among…

Symbolic Computation · Computer Science 2025-05-15 Alexander Demin , Christina Katsamaki , Fabrice Rouillier

The non-deterministic algorithmic procedure PEARL (an acronym for `Propositional variables Elimination Algorithm for Relevance Logic') has been recently developed for computing first-order equivalents of formulas of the language of…

Logic in Computer Science · Computer Science 2021-08-17 Willem Conradie , Valntin Goranko , Peter Jipsen