4 citations · 4 across the 6 of their papers we have counts for
6 papers
Deep Representation Learning for Unsupervised Clustering of Myocardial Fiber Trajectories in Cardiac Diffusion Tensor Imaging
Mohini Anand, Xavier Tricoche
Understanding the complex myocardial architecture is critical for diagnosing and treating heart disease. However, existing methods often struggle to accurately capture this intrica…
Meshing of High-Dimensional Toroidal Manifolds from Quasi-Periodic Three-Body Problem Dynamics using Parameterization via Discrete One-Forms
Dante Basile, Xavier Tricoche, Martin Lo
High-dimensional visual computer models are poised to revolutionize the space mission design process. The circular restricted three-body problem (CR3BP) gives rise to high-dimensio…
Out-of-distributional risk bounds for neural operators with applications to the Helmholtz equation
J. Antonio Lara Benitez, Takashi Furuya, Florian Faucher +3
Despite their remarkable success in approximating a wide range of operators defined by PDEs, existing neural operators (NOs) do not necessarily perform well for all physics problem…
Improved characterization of Lagrangian coherent structures through time-scale analysis
Zi'ang Ding, Xavier Tricoche
The computation of Lagrangian coherent structures (LCS) has established itself as a prominent means to reveal significant geometric structures in time-dependent vector fields. Thei…
A Hybrid Lagrangian-Eulerian Model for the Structural Analysis of Multifield Datasets
Zi'ang Ding, Xavier Tricoche
Multifields datasets are common in a large number of research and engineering applications of computational science. The effective visualization of the corresponding datasets can f…
Extraction and Visualization of Poincaré Map Topology for Spacecraft Trajectory Design
Xavier M. Tricoche, Wayne R. Schlei, Kathleen C. Howell
Mission designers must study many dynamical models to plan a low-cost spacecraft trajectory that satisfies mission constraints. They routinely use Poincaré maps to search for a sui…