Laboratoire Bordelais de Recherche en Informatique

Non-linear mechanical field reconstruction coupling recurrent neural networks with physics-informed graph neural networks

Reconstructing local stress fields in heterogeneous microstructures under non-linear, history-dependent loading remains a major computational bottleneck in multi-scale simulations. We propose a coupled LSTM-GNN framework that links the temporal and spatial aspects of local stress...

Faithful Universal Graphs for Minor-Closed Classes

Abstract. It was proved by Huynh et al. [ Universality in Minor-Closed Graph Classes, preprint, arXiv:2109.00327, 2021] that any countable graph containing every countable planar graph as a subgraph has an infinite clique minor. We prove a finite, quantitative version of this res...

Quantum Graph Theory by Example

Quantum graphs have been introduced by Duan, Severini, and Winter to describe the zero-error behaviour of quantum channels. Since then, quantum graph theory has become a field of study in its own right. A substantial source of difficulty in working with quantum graphs compared to...

Generalizable and equitable automated ischaemic stroke lesion segmentation with vision transformers

Abstract Background Ischaemic stroke, a leading cause of death and disability, relies on neuroimaging for characterising the anatomical pattern of injury. Diffusion-weighted MRI (DWI) provides the most anatomically specific signal in acute ischaemic stroke but poses substantial c...