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We recall results concerning one-dimensional classical and quantum systems with ladder operators. We obtain the most general one-dimensional classical systems respectively with a third and a fourth order ladder operators satisfying…

Mathematical Physics · Physics 2015-05-30 Ian Marquette

PyUnfold is a Python package for incorporating imperfections of the measurement process into a data analysis pipeline. In an ideal world, we would have access to the perfect detector: an apparatus that makes no error in measuring a desired…

Data Analysis, Statistics and Probability · Physics 2018-06-12 James Bourbeau , Zigfried Hampel-Arias

We present DLKoopman -- a software package for Koopman theory that uses deep learning to learn an encoding of a nonlinear dynamical system into a linear space, while simultaneously learning the linear dynamics. While several previous…

Machine Learning · Computer Science 2023-06-26 Sourya Dey , Eric Davis

Mathematical modeling is a powerful tool in rheology, and we present pyRheo, an open-source package for Python designed to streamline the analysis of creep, stress relaxation, oscillation, and rotation tests. pyRheo contains a comprehensive…

Soft Condensed Matter · Physics 2024-12-23 Isaac Y. Miranda-Valdez , Aaro Niinistö , Tero Mäkinen , Juha Lejon , Juha Koivisto , Mikko J. Alava

Symbolic computation, powered by modern computer algebra systems, has important applications in mathematical reasoning through exact deep computations. The efficiency of symbolic computation is largely constrained by such deep computations…

Symbolic Computation · Computer Science 2026-01-21 Rui-Juan Jing , Yuegang Zhao , Changbo Chen

Sparse linear algebra is a cornerstone of many scientific computing and machine learning applications. Python has become a popular choice for these applications due to its simplicity and ease of use. Yet high performance sparse kernels in…

Mathematical Software · Computer Science 2025-10-10 Keshvi Tuteja , Gregor Olenik , Roman Mishchuk , Yu-Hsiang Tsai , Markus Götz , Achim Streit , Hartwig Anzt , Charlotte Debus

This paper presents an experimental performance study of implementations of three symbolic algorithms for solving band matrix systems of linear algebraic equations with heptadiagonal, pentadiagonal, and tridiagonal coefficient matrices. The…

Mathematical Software · Computer Science 2026-05-22 Milena Veneva , Alexander Ayriyan

In recent years, numerical simulations have become indispensable for addressing complex astrophysical problems. The MagnetoHydroDynamics (MHD) framework represents a key tool for investigating the dynamical evolution of astrophysical…

Instrumentation and Methods for Astrophysics · Physics 2025-09-18 Giancarlo Mattia , Daniele Crocco , David Melon Fuksman , Matteo Bugli , Vittoria Berta , Eleonora Puzzoni , Andrea Mignone , Bhargav Vaidya

We present a new package for Mathematica system, called Libra. Its purpose is to provide convenient tools for the transformation of the first-order differential systems $\partial_i \boldsymbol j = M_i \boldsymbol j$ for one or several…

High Energy Physics - Phenomenology · Physics 2021-07-07 Roman N. Lee

We present a family of Python modules for the numerical integration of ordinary, delay, or stochastic differential equations. The key features are that the user enters the derivative symbolically and it is just-in-time-compiled, allowing…

Mathematical Software · Computer Science 2018-04-25 Gerrit Ansmann

DORAEMON is an open-source PyTorch library that unifies visual object modeling and representation learning across diverse scales. A single YAML-driven workflow covers classification, retrieval and metric learning; more than 1000 pretrained…

Computer Vision and Pattern Recognition · Computer Science 2025-11-07 Ke Du , Yimin Peng , Chao Gao , Fan Zhou , Siqiao Xue

This is the manual of the first version of QEDtool, an object-oriented Python package that performs numerical quantum electrodynamics calculations, with focus on full state reconstruction in the internal degrees of freedom, correlations and…

High Energy Physics - Theory · Physics 2026-04-07 Jesse Smeets , Preslav Asenov , Alessio Serafini

Ordinal Data are those where a natural order exist between the labels. The classification and pre-processing of this type of data is attracting more and more interest in the area of machine learning, due to its presence in many common…

Machine Learning · Computer Science 2019-03-19 M. Cristina Heredia-Gómez , Salvador García , Pedro Antonio Gutiérrez , Francisco Herrera

Recent research in materials science opens exciting perspectives to design novel quantum materials and devices, but it calls for quantitative predictions of properties which are not accessible in standard first principles packages. PAOFLOW…

Coordination protocols help programmers of distributed systems reason about the effects of transactions on the state of the system, but they're not cheap. Coordination protocols may involve multiple rounds of communication, which can hurt…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-21 Rolando Garcia , Giulia Guidi

We characterise the evolution of a dynamical system by combining two well-known complex systems' tools, namely, symbolic ordinal analysis and networks. From the ordinal representation of a time-series we construct a network in which every…

This paper presents a symbolic algorithm for solving band matrix systems of linear algebraic equations with heptadiagonal coefficient matrices. The algorithm is given in pseudocode. A theorem which gives the condition for the algorithm to…

Numerical Analysis · Mathematics 2019-03-08 Milena Veneva , Alexander Ayriyan

Reduced-order models are central to motion planning and control of quadruped robots, yet existing templates are often hand-crafted for a specific locomotion modality. This motivates the need for automatic methods that extract task-specific,…

Robotics · Computer Science 2026-01-14 Gioele Buriani , Jingyue Liu , Maximilian Stölzle , Cosimo Della Santina , Jiatao Ding

We present Paicos, a new object-oriented Python package for analyzing simulations performed with Arepo. Paicos strives to reduce the learning curve for students and researchers getting started with Arepo simulations. As such, Paicos…

Instrumentation and Methods for Astrophysics · Physics 2024-04-24 Thomas Berlok , Léna Jlassi , Ewald Puchwein , Troels Haugbølle

Solutions to a linear Diophantine system, or lattice points in a rational convex polytope, are important concepts in algebraic combinatorics and computational geometry. The enumeration problem is fundamental and has been well studied,…

Combinatorics · Mathematics 2015-04-09 Guoce Xin
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