140 citations · 1.9k across the 86 of their papers we have counts for
12 papers · 1 filter
Model selection and sensitivity analysis in the biomechanics of soft tissues: a case study on the human knee meniscus
Elsiddig Elmukashfi, Gregorio Marchiori, Matteo Berni +5
Soft tissues - such as ligaments and tendons - primarily consist of solid (collagen, predominantly) and liquid phases. Understanding the interaction between such components and how…
A graph representation based on fluid diffusion model for data analysis: theoretical aspects and enhanced community detection
Andrea Marinoni, Christian Jutten, Mark Girolami
Representing data by means of graph structures identifies one of the most valid approach to extract information in several data analysis applications. This is especially true when…
Bayesian Learning via Neural Schrödinger-Föllmer Flows
Francisco Vargas, Andrius Ovsianas, David Fernandes +3
In this work we explore a new framework for approximate Bayesian inference in large datasets based on stochastic control (i.e. Schrödinger bridges). We advocate stochastic control…
Theoretical Guarantees for the Statistical Finite Element Method
Yanni Papandreou, Jon Cockayne, Mark Girolami +1
The statistical finite element method (StatFEM) is an emerging probabilistic method that allows observations of a physical system to be synthesised with the numerical solution of a…
Variational Bayesian Approximation of Inverse Problems using Sparse Precision Matrices
Jan Povala, Ieva Kazlauskaite, Eky Febrianto +2
Inverse problems involving partial differential equations (PDEs) are widely used in science and engineering. Although such problems are generally ill-posed, different regularisatio…
Statistical Finite Elements via Langevin Dynamics
Ömer Deniz Akyildiz, Connor Duffin, Sotirios Sabanis +1
The recent statistical finite element method (statFEM) provides a coherent statistical framework to synthesise finite element models with observed data. Through embedding uncertain…