Articles by Luis Espath | Synthical

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Articles by Luis Espath | Synthical

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Articles by Luis Espath

Multilevel randomized quasi-Monte Carlo estimator for nested integration

15 March 2025 by Arved Bartuska and others

Numerical Analysis

Double-loop randomized quasi-Monte Carlo estimator for nested integration

14 January 2025 by Arved Bartuska and others

Numerical Analysis

Laplace-based strategies for Bayesian optimal experimental design with nuisance uncertainty

24 November 2024 by Arved Bartuska and others

Numerical Analysis

Deep NURBS -- Admissible Physics-informed Neural Networks

29 July 2024 by Hamed Saidaoui and others

Numerical Analysis, Machine Learning

Multi-Iteration Stochastic Optimizers

1 May 2024 by Andre Carlon and others

Optimization and Control

Approximating Hessian matrices using Bayesian inference: a new approach for quasi-Newton methods in stochastic optimization

1 April 2024 by Andre Carlon and others

Optimization and Control

A bulk-surface continuum theory for fluid flows and phase segregation with finite surface thickness

17 January 2024 by Anne Boschman and others

Scalable method for Bayesian experimental design without integrating over posterior distribution

11 August 2023 by Vinh Hoang and others

Numerical Analysis, Computation

On the equivalence of different adaptive batch size selection strategies for stochastic gradient descent methods

4 July 2023 by Luis Espath and others

Optimization and Control, Machine Learning

Physics-informed Spectral Learning: the Discrete Helmholtz--Hodge Decomposition

21 February 2023 by Luis Espath and others

Machine Learning, Numerical Analysis

A continuum framework for phase field with bulk-surface dynamics

18 July 2022 by Luis Espath

Mathematical Physics

Small-noise approximation for Bayesian optimal experimental design with nuisance uncertainty

4 April 2022 by Arved Bartuska and others

Numerical Analysis

A spatio-temporal adaptive phase-field fracture method

7 October 2021 by Nicolas Labanda and others

Mathematical Physics, Numerical Analysis

Statistical Learning for Fluid Flows: Sparse Fourier divergence-free approximations

28 July 2021 by Luis Espath and others

A continuum theory for mineral solid solutions undergoing chemo-mechanical processes

7 January 2021 by Santiago Clavijo and others

Extended Larché--Cahn framework for reactive Cahn--Hilliard multicomponent systems

4 January 2021 by Santiago Clavijo and others

Geophysics, Analysis of PDEs

On the control volume arbitrariness in the Navier--Stokes equation

10 November 2020 by Luis Espath

Phase-field gradient theory

11 February 2020 by Luis Espath and Victor Calo

Mathematical Physics