Concept
Point estimation
Publications associées (394)
A Method of Moments Estimator for Interacting Particle Systems and their Mean Field Limit
Andrea Zanoni, Grigorios A. Pavliotis
We study the problem of learning unknown parameters in stochastic interacting particle systems with polynomial drift, interaction, and diffusion functions from the path of one single particle in the system. Our estimator is obtained by solving a linear sys ...
Siam Publications2024A Shape Derivative Approach to Domain Simplification
Annalisa Buffa, Jochen Peter Hinz, Ondine Gabrielle Chanon, Alessandra Arrigoni
The objective of this study is to address the difficulty of simplifying the geometric model in which a differential problem is formulated, also called defeaturing, while simultaneously ensuring that the accuracy of the solution is maintained under control. ...
Oxford2023Analysis-aware defeaturing of complex geometries with Neumann features
Pablo Antolin Sanchez, Ondine Gabrielle Chanon
Local modifications of a computational domain are often performed in order to simplify the meshing process and to reduce computational costs and memory requirements. However, removing geometrical features of a domain often introduces a non-negligible error ...
Hoboken2023Unbiased likelihood-based estimation of Wright-Fisher diffusion processes
In this paper we propose an unbiased Monte Carlo maximum likelihood estimator for discretely observed Wright-Fisher diffusions. Our approach is based on exact simulation techniques that are of special interest for diffusion processes defined on a bounded d ...
MCQMC2023An equilibrated flux a posteriori error estimator for defeaturing problems
Annalisa Buffa, Denise Grappein, Rafael Vazquez Hernandez, Ondine Gabrielle Chanon
An a posteriori error estimator based on an equilibrated flux reconstruction is proposed for defeaturing problems in the context of finite element discretizations. Defeaturing consists in the simplification of a geometry by removing features that are consi ...
2023ReLU Neural Network Galerkin BEM
Fernando José Henriquez Barraza
We introduce Neural Network (NN for short) approximation architectures for the numerical solution of Boundary Integral Equations (BIEs for short). We exemplify the proposed NN approach for the boundary reduction of the potential problem in two spatial dime ...
SPRINGER/PLENUM PUBLISHERS2023Methods of trajectory estimation in challenging mapping scenarios
With the aim of improving trajectory estimation and point cloud georeferencing in the scope of Kinematic Laser Scanning (ALS), we recently proposed a novel procedure leveraging the automated extraction of reliable 3D point to point correspondences and thei ...
2023