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The generalized eigenvalue problem (GEP) serves as a cornerstone in a wide range of applications in numerical linear algebra and scientific computing. However, traditional approaches that aim to maximize the classical Rayleigh quotient…

Optimization and Control · Mathematics 2025-07-04 Xiaozhi Liu , Yong Xia

Probabilistic Spacetime is a simple generalization of the classical model of spacetime in General Relativity, such that it allows to consider multiple metric field realizations endowed with probabilities. The motivation for such a…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Jakub Káninský

A variational principle is applied to 4D Euclidean space provided with a tensor refractive index, defining what can be seen as 4-dimensional optics (4DO). The geometry of such space is analysed, making no physical assumptions of any kind.…

General Physics · Physics 2007-05-23 Jose B. Almeida

In contrast with most Monte Carlo integration algorithms, which are used to estimate ratios, the replica gas identities recently introduced by Adib enable the estimation of absolute integrals and partition functions using multiple copies of…

Statistical Mechanics · Physics 2010-09-27 David D. L. Minh

This paper introduces PyRobot, an open-source robotics framework for research and benchmarking. PyRobot is a light-weight, high-level interface on top of ROS that provides a consistent set of hardware independent mid-level APIs to control…

We present OGRe, a modern Mathematica package for tensor calculus, designed to be both powerful and user-friendly. The package can be used in a variety of contexts where tensor calculations are needed, in both mathematics and physics, but…

Mathematical Software · Computer Science 2025-12-29 Barak Shoshany

$\texttt{PyCosmo}$ is a Python-based framework for the fast computation of cosmological model predictions. One of its core features is the symbolic representation of the Einstein-Boltzmann system of equations. Efficient $\texttt{C/C++}$…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-20 Beatrice Moser , Christiane S. Lorenz , Uwe Schmitt , Alexandre Refregier , Janis Fluri , Raphael Sgier , Federica Tarsitano , Lavinia Heisenberg

Most scientific domains elicit the development of efficient algorithms and accessible scientific software. This thesis unifies our developments in three broad domains: Quasi-Monte Carlo (QMC) methods for efficient high-dimensional…

Machine Learning · Statistics 2025-12-01 Aleksei G. Sorokin

Current and upcoming cosmological experiments open a new era of precision cosmology, thus demanding accurate theoretical predictions for cosmological observables. Because of the complexity of the codes delivering such predictions, reaching…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-05 F. Tarsitano , U. Schmitt , A. Refregier , J. Fluri , R. Sgier , A. Nicola , J. Herbel , A. Amara , T. Kacprzak , L. Heisenberg

We present an open-source simulation framework for optically detected magnetic resonance, developed in Python. The framework allows users to construct, manipulate, and evolve multipartite quantum systems that consist of spins and electronic…

Quantum Physics · Physics 2025-01-13 Laura A. Völker , John M. Abendroth , Christian L. Degen , Konstantin Herb

PyG (PyTorch Geometric) has evolved significantly since its initial release, establishing itself as a leading framework for Graph Neural Networks. In this paper, we present Pyg 2.0 (and its subsequent minor versions), a comprehensive update…

We present a new Python package, gwbench, implementing the well-established Fisher information formalism as a fast and straightforward tool for the purpose of gravitational-wave benchmarking, i.e. the estimation of signal-to-noise ratios…

General Relativity and Quantum Cosmology · Physics 2021-08-31 Ssohrab Borhanian

Tests of general relativity (GR) with gravitational waves (GWs) introduce additional deviation parameters in the waveform model. The enlarged parameter space makes inference computationally costly, which has so far limited systematic,…

General Relativity and Quantum Cosmology · Physics 2026-04-06 Dhruv Kumar , Ish Gupta , Bangalore Sathyaprakash

The discovery of the accelerating expansion of the Universe, thought to be driven by a mysterious form of `dark energy' constituting most of the Universe, has further revived the interest in testing Einstein's theory of General Relativity.…

General Relativity and Quantum Cosmology · Physics 2012-12-05 Ignazio Ciufolini , Antonio Paolozzi , Erricos Pavlis , John Ries , Vahe Gurzadyan , Rolf Koenig , Richard Matzner , Roger Penrose , Giampiero Sindoni

We investigate the motion of test particles in quantum-gravitational backgrounds by introducing the concept of q--desics, quantum-corrected analogs of classical geodesics. Unlike standard approaches that rely solely on the expectation value…

General Relativity and Quantum Cosmology · Physics 2025-11-13 Benjamin Koch , Ali Riahinia , Angel Rincon

The status of experimental tests of general relativity and of theoretical frameworks for analyzing them are reviewed and updated. Einstein's equivalence principle (EEP) is well supported by experiments such as the Eotvos experiment, tests…

General Relativity and Quantum Cosmology · Physics 2014-08-06 Clifford M. Will

In modern-day astronomy, near-infrared, optical, and ultraviolet spectroscopy are indispensable for studying a wide range of phenomena, from measuring black hole masses to analyzing chemical abundances in stellar atmospheres. However,…

Instrumentation and Methods for Astrophysics · Physics 2025-07-21 Raniere de Menezes , Francesco Massaro , Michela Negro , Claudia M. Raiteri , Harold Peña-Herazo , Jose A. Acosta-Pulido

We discuss theoretical formalisms concerning with experimental verification of General Relativity (GR). Non-metric generalizations of GR are considered and a system of postulates is formulated for metric-affine and Finsler gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. N. Alexandrov , I. B. Vavilova , V. I. Zhdanov

Advances in our understanding of the origin, evolution and structure of the universe have long been driven by cosmological perturbation theory, model building and effective field theory. In this review, we introduce numerical relativity as…

General Relativity and Quantum Cosmology · Physics 2022-03-08 Anna Ijjas

PySR is an open-source library for practical symbolic regression, a type of machine learning which aims to discover human-interpretable symbolic models. PySR was developed to democratize and popularize symbolic regression for the sciences,…

Instrumentation and Methods for Astrophysics · Physics 2023-05-08 Miles Cranmer