Search Results for author: Stéphane P. A. Bordas

Found 10 papers, 5 papers with code

Convolution, aggregation and attention based deep neural networks for accelerating simulations in mechanics

1 code implementation1 Dec 2022 Saurabh Deshpande, Raúl I. Sosa, Stéphane P. A. Bordas, Jakub Lengiewicz

We study and compare the performance of all three networks on two benchmark examples, and show their capabilities to accurately predict the non-linear mechanical responses of soft bodies.

MAgNET: A Graph U-Net Architecture for Mesh-Based Simulations

2 code implementations1 Nov 2022 Saurabh Deshpande, Stéphane P. A. Bordas, Jakub Lengiewicz

In this work, we present a novel encoder-decoder geometric deep learning framework called MAgNET, which extends the well-known convolutional neural networks to accommodate arbitrary graph-structured data.

Decoder

Probabilistic Deep Learning for Real-Time Large Deformation Simulations

no code implementations2 Nov 2021 Saurabh Deshpande, Jakub Lengiewicz, Stéphane P. A. Bordas

For many novel applications, such as patient-specific computer-aided surgery, conventional solution techniques of the underlying nonlinear problems are usually computationally too expensive and are lacking information about how certain can we be about their predictions.

Probabilistic Deep Learning

Machine learning in the social and health sciences

no code implementations20 Jun 2021 Anja K. Leist, Matthias Klee, Jung Hyun Kim, David H. Rehkopf, Stéphane P. A. Bordas, Graciela Muniz-Terrera, Sara Wade

The uptake of machine learning (ML) approaches in the social and health sciences has been rather slow, and research using ML for social and health research questions remains fragmented.

BIG-bench Machine Learning Causal Inference

Hierarchical a posteriori error estimation of Bank-Weiser type in the FEniCS Project

2 code implementations8 Feb 2021 Raphaël Bulle, Jack S. Hale, Alexei Lozinski, Stéphane P. A. Bordas, Franz Chouly

The focus of this contribution is to describe a novel implementation of hierarchical estimators of the Bank-Weiser type in a modern high-level finite element software with automatic code generation capabilities.

Code Generation Numerical Analysis Computational Engineering, Finance, and Science Numerical Analysis

A Bayesian multiscale CNN framework to predict local stress fields in structures with microscale features

no code implementations17 Dec 2020 Vasilis Krokos, Viet Bui Xuan, Stéphane P. A. Bordas, Philippe Young, Pierre Kerfriden

Multiscale computational modelling is challenging due to the high computational cost of direct numerical simulation by finite elements.

Decoder

Quantifying discretization errors for soft-tissue simulation in computer assisted surgery: a preliminary study

1 code implementation18 Jun 2018 Michel Duprez, Stéphane P. A. Bordas, Marek Bucki, Huu Phuoc Bui, Franz Chouly, Vanessa Lleras, Claudio Lobos, Alexei Lozinski, Pierre-Yves Rohan, Satyendra Tomar

The impact of mesh quality and density on the accuracy of the FE solution can be quantified with \emph{a posteriori} error estimates.

Computational Engineering, Finance, and Science

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