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ChatGPT represents a significant milestone in the field of artificial intelligence (AI), finding widespread applications across diverse domains. However, its effectiveness in mathematical contexts has been somewhat constrained by its…

Algebraic Topology · Mathematics 2024-03-21 Jian Liu , Li Shen , Guo-Wei Wei

Mata is a well-engineered automata library written in C++ that offers a unique combination of speed and simplicity. It is meant to serve in applications such as string constraint solving and reasoning about regular expressions, and as…

Formal Languages and Automata Theory · Computer Science 2024-03-29 David Chocholatý , Tomáš Fiedor , Vojtěch Havlena , Lukáš Holík , Martin Hruška , Ondřej Lengál , Juraj Síč

This paper introduces \texttt{infotheory}: a package written in C++ and usable from Python and C++, for multivariate information theoretic analyses of discrete and continuous data. This package allows the user to study the relationship…

Information Theory · Computer Science 2021-06-11 Madhavun Candadai , Eduardo J. Izquierdo

We introduce cilantro, an open-source C++ library for geometric and general-purpose point cloud data processing. The library provides functionality that covers low-level point cloud operations, spatial reasoning, various methods for point…

Computer Vision and Pattern Recognition · Computer Science 2018-11-19 Konstantinos Zampogiannis , Cornelia Fermuller , Yiannis Aloimonos

The democratization of Data Mining has been widely successful thanks in part to powerful and easy-to-use Machine Learning libraries. These libraries have been particularly tailored to tackle Supervised Learning. However, strong supervision…

Machine Learning · Computer Science 2023-08-21 Pierre Nodet , Vincent Lemaire , Alexis Bondu , Antoine Cornuéjols

Tabular data is one of the most common data sources in machine learning. Although a wide range of classical methods demonstrate practical utilities in this field, deep learning methods on tabular data are becoming promising alternatives due…

Machine Learning · Computer Science 2024-07-08 Si-Yang Liu , Hao-Run Cai , Qi-Le Zhou , Han-Jia Ye

Tick is a statistical learning library for Python~3, with a particular emphasis on time-dependent models, such as point processes, and tools for generalized linear models and survival analysis. The core of the library is an optimization…

Machine Learning · Statistics 2018-03-16 Emmanuel Bacry , Martin Bompaire , Stéphane Gaïffas , Soren Poulsen

As the field of data science continues to grow, there will be an ever-increasing demand for tools that make machine learning accessible to non-experts. In this paper, we introduce the concept of tree-based pipeline optimization for…

Neural and Evolutionary Computing · Computer Science 2016-03-22 Randal S. Olson , Nathan Bartley , Ryan J. Urbanowicz , Jason H. Moore

swdatatoolkit is a Python-based scientific software library designed to support the acquisition, preprocessing, and analysis of solar and space weather data. The toolkit consolidates functionality across multiple domains, including data…

Instrumentation and Methods for Astrophysics · Physics 2026-04-27 Dustin Kempton , Griffin Goodwin , Tarun Kumar Reddy Thippareddy , Reet Gupta , Viacheslav Sadykov , Rafal Angryk

HOTTBOX is a Python library for exploratory analysis and visualisation of multi-dimensional arrays of data, also known as tensors. The library includes methods ranging from standard multi-way operations and data manipulation through to…

Mathematical Software · Computer Science 2021-12-02 Ilya Kisil , Giuseppe G. Calvi , Bruno S. Dees , Danilo P. Mandic

Persistent topological Laplacians are operators that provide persistent Betti numbers and additional multiscale geometric information through the eigenvalues of the persistent topological Laplacian matrix. We introduce a framework and novel…

Algebraic Topology · Mathematics 2026-03-04 Benjamin Jones , Guo-Wei Wei

Topological Data Analysis (TDA) combines computational topology and data science to extract and analyze intrinsic topological and geometric structures in data set in a metric space. While the persistent homology (PH), a widely used tool in…

Computational Geometry · Computer Science 2025-04-15 Chuanshen Hu , Yu Wang , Kelin Xia , Ke Ye , Yipeng Zhang

Lloyd et al. were first to demonstrate the promise of quantum algorithms for computing Betti numbers, a way to characterize topological features of data sets. Here, we propose, analyze, and optimize an improved quantum algorithm for…

We present a way to use Topological Data Analysis (TDA) for machine learning tasks on grayscale images. We apply persistent homology to generate a wide range of topological features using a point cloud obtained from an image, its natural…

Machine Learning · Computer Science 2019-10-23 Adélie Garin , Guillaume Tauzin

Organizations have realized the importance of data analysis and its benefits. This in combination with Machine Learning algorithms has allowed to solve problems more easily, making these processes less time-consuming. Neural networks are…

Neural and Evolutionary Computing · Computer Science 2022-04-19 Alvaro J. Garcia-Tejedor , Alberto Nogales

Artificial Neural Networks (ANNs) require significant amounts of data and computational resources to achieve high effectiveness in performing the tasks for which they are trained. To reduce resource demands, various techniques, such as…

Neural and Evolutionary Computing · Computer Science 2024-12-04 A. Stolarek , W. Jaworek

Python is a particularly appealing language to carry out data analysis, owing in part to its user-friendly character as well as its access to well maintained and powerful libraries like NumPy and SciPy. Still, for the purpose of analyzing…

High Energy Physics - Lattice · Physics 2024-02-01 Luis Altenkort , David Anthony Clarke , Jishnu Goswami , Hauke Sandmeyer

A large amount of data is produced every second from modern information systems such as mobile devices, the world wide web, Internet of Things, social media, etc. Analysis and mining of this massive data requires a lot of advanced tools and…

Machine Learning · Computer Science 2020-01-13 Rising Odegua , Festus Ikpotokin

We present POLO --- a C++ library for large-scale parallel optimization research that emphasizes ease-of-use, flexibility and efficiency in algorithm design. It uses multiple inheritance and template programming to decompose algorithms into…

Optimization and Control · Mathematics 2018-10-09 Arda Aytekin , Martin Biel , Mikael Johansson

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…