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20092026
most citedProbabilistic Numerics and Uncertainty in Computations

140 citations · 1.9k across the 86 of their papers we have counts for

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25 papers · 1 filter

stat.ME2026

Beyond Laplace: Closed-form wrapped Gaussian posterior approximations on statistical manifolds

Marcelo Hartmann, Luu Hoang Phuc Hau, Anton Mallasto +5

In Bayesian statistics, the Laplace approximation provides a computationally efficient approximation to posterior distributions. However, its Gaussian form restricts it to elliptic…

stat.ME2023

Table inference for combinatorial origin-destination choices in agent-based population synthesis

Ioannis Zachos, Theodoros Damoulas, Mark Girolami

A key challenge in agent-based mobility simulations is the synthesis of individual agent socioeconomic profiles. Such profiles include locations of agent activities, which dictate…

stat.ME2022★ 9 cited

Lagrangian Manifold Monte Carlo on Monge Patches

Marcelo Hartmann, Mark Girolami, Arto Klami

The efficiency of Markov Chain Monte Carlo (MCMC) depends on how the underlying geometry of the problem is taken into account. For distributions with strongly varying curvature, Ri…

stat.ME2021★ 17 cited

Low-rank statistical finite elements for scalable model-data synthesis

Connor Duffin, Edward Cripps, Thomas Stemler +1

Statistical learning additions to physically derived mathematical models are gaining traction in the literature. A recent approach has been to augment the underlying physics of the…

stat.ME2019★ 36 cited

Statistical Inference for Generative Models with Maximum Mean Discrepancy

Francois-Xavier Briol, Alessandro Barp, Andrew B. Duncan +1

While likelihood-based inference and its variants provide a statistically efficient and widely applicable approach to parametric inference, their application to models involving in…

stat.ME2019★ 80 cited

The statistical finite element method (statFEM) for coherent synthesis of observation data and model predictions

Mark Girolami, Eky Febrianto, Ge Yin +1

The increased availability of observation data from engineering systems in operation poses the question of how to incorporate this data into finite element models. To this end, we…