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Computer models, aiming at simulating a complex real system, are often calibrated in the light of data to improve performance. Standard calibration methods assume that the optimal values of calibration parameters are invariant to the model…

Methodology · Statistics 2017-09-01 Georgios Karagiannis , Bledar A. Konomi , Guang Lin

A new strategy based on numerical homogenization and Bayesian techniques for solving multiscale inverse problems is introduced. We consider a class of elliptic problems which vary at a microscopic scale, and we aim at recovering the highly…

Numerical Analysis · Mathematics 2018-07-30 Assyr Abdulle , Andrea Di Blasio

Many dynamical systems, from quantum many-body systems to evolving populations to financial markets, are described by stochastic processes. Parameters characterizing such processes can often be inferred using information integrated over…

Data Analysis, Statistics and Probability · Physics 2023-02-22 Kai Shimagaki , John P. Barton

A method is developed for fitting theoretically predicted astronomical spectra to an observed spectrum. Using a hierarchical Bayesian principle, the method takes both systematic and statistical measurement errors into account, which has not…

Astrophysics · Physics 2008-11-26 Z. Shkedy , L. Decin , G. Molenberghs , C. Aerts

Variational quantum eigensolver ans\"atze hold considerable promise for ground-state energy calculations on near-term quantum hardware, yet most promising ansatz designs currently strongly depend on how well the molecular orbital basis…

Bayesian statistics is an integral part of contemporary applied science. bayesics provides a single framework, unified in syntax and output, for performing the most commonly used statistical procedures, ranging from one- and two-sample…

Methodology · Statistics 2026-02-18 Daniel K. Sewell , Alan T. Arakkal

An important experimental design problem in early-stage drug discovery is how to prioritize available compounds for testing when very little is known about the target protein. Informer based ranking (IBR) methods address the prioritization…

Methodology · Statistics 2023-06-26 Peng Yu , Spencer S. Ericksen , Anthony Gitter , Michael A. Newton

The recent growing interest in small solar system bodies such as asteroids and comets for scientific inspection, exploitation of resources, and planetary defense reasons is pushing the development of innovative engineering solutions to…

Systems and Control · Electrical Eng. & Systems 2024-08-29 Antonio Rizza , Francesco Topputo

An alternative numerical method is developed to find stable and unstable periodic orbits of nonlinear dynamical systems. The method exploits the high-efficiency of the Levenberg-Marquardt algorithm for medium-sized problems and has the…

Chaotic Dynamics · Physics 2014-11-17 W. Dednam , A. E. Botha

We propose a novel method for determining the radius of a spherical surface based on the distances measured between points on this surface. We consider the most general case of determining the radius when the distances are measured with…

Computational Geometry · Computer Science 2025-04-04 Boris Sukhovilov

We present a generalized grasping algorithm that uses point clouds (i.e. a group of points and their respective surface normals) to discover grasp pose solutions for multiple grasp types, executed by a mechanical gripper, in near real-time.…

Robotics · Computer Science 2020-06-24 Michael Hegedus , Kamal Gupta , Mehran Mehrandezh

For most optimisation methods an essential assumption is the vector space structure of the feasible set. This condition is not fulfilled if we consider optimisation problems over the sphere. We present an algorithm for solving a special…

Computation · Statistics 2018-02-27 Gabriele Eichfelder , Thomas Hotz , Johannes Wieditz

Problems that require the parameterization of closed contours arise frequently in computer vision applications. This article introduces a new curve parameterization algorithm that is able to fit a closed curve to a set of points while being…

Computer Vision and Pattern Recognition · Computer Science 2015-04-23 Michael A. Greminger

This paper presents an algorithm for the preprocessing of observation data aimed at improving the robustness of orbit determination tools. Two objectives are fulfilled: obtain a refined solution to the initial orbit determination problem…

Numerical Analysis · Mathematics 2023-11-07 Alberto Fossà , Roberto Armellin , Emmanuel Delande , Matteo Losacco , Francesco Sanfedino

Many optimization methods for training variational quantum algorithms are based on estimating gradients of the cost function. Due to the statistical nature of quantum measurements, this estimation requires many circuit evaluations, which is…

Quantum Physics · Physics 2022-10-14 Lennart Bittel , Jens Watty , Martin Kliesch

Homotopy methods have been widely utilized to solve low-thrust orbital transfer problems, however, it is not guaranteed that the optimal solution can be obtained by the existing homotopy methods. In this paper, a new homotopy method is…

Instrumentation and Methods for Astrophysics · Physics 2018-09-05 Binfeng Pan , Xun Pan , Siqi Zhang

We introduce an estimator for the curvature of curves and surfaces by using finite sample points drawn from sampling a probability distribution that has support on the curve or surface. First we give an algorithm for estimation of the…

Differential Geometry · Mathematics 2025-07-03 R. Mirzaie

The projection of the eigenfunctions obtained in standard plane-wave first-principle electronic-structure calculations into atomic-orbital basis sets is proposed as a formal and practical link between the methods based on plane waves and…

Condensed Matter · Physics 2009-10-28 Daniel Sanchez-Portal , Emilio Artacho , Jose M. Soler

Presented paper describes the method for finding the intersection of class space rational Bezier curves. The problem curve/curve intersection belongs among basic geometric problems and the aim of this article is to describe the new…

Computational Geometry · Computer Science 2007-05-23 Radoslav Hlusek

Digital image correlation (DIC) is a widely used optical metrology for quantitative deformation measurement due to its non-contact, low-cost, highly precise feature. DIC relies on nonlinear optimization algorithm. Thus it is quite important…

Computer Vision and Pattern Recognition · Computer Science 2019-09-24 Peihan Tu