Bibliographie
Geométrie différentielle
- Do Carmo (dans toutes les bibliothèques universitaires)
- Introduction to smooth manifolds (Lee)
- Riemannian Manifolds - an introduction to curvature (Lee)
- Efficient Parallel Transport of Deformations in Time Series of Images: from Schild’s to Pole Ladder, Lorenzi JMIV 2013
- Time sequence diffeomorphic metric mapping and parallel transport track time-dependent shape changes, Qiu, Neuroimage 2008
- Transport of Relational Structures in Groups of Diffeomorphisms, Younes JMIV 2008
- A fanning scheme for the parallel transport along geodesics on Riemannian manifolds, Louis SIAM Num Anal, 2018
Variété morphométriques
En lien direct avec le cours:- Morphometry of anatomical shape complexes with dense deformations and sparse parameters, Durrleman Neuroimage 2015
- A sub-Riemannian modular framework for diffeomorphism based analysis of shape ensembles, Gris, SIIMS 2018
- Learning low-dimensional representations of shape data sets with diffeomorphic autoencoders, Bone IPMI 2019
- Auto-encoding meshes of any topology with the current-splatting and exponentiation layers, Bone GMDL 2019
Apprentissage de trajectoires (données longitudinales)
En lien direct avec le cours:- Random-Effects Models for Longitudinal Data, Laird and Ware 1980
- A Bayesian Mixed-Effects Model to Learn Trajectories of Changes from Repeated Manifold-Valued Observations, Schiratti JMLR 2017
- Learning distributions of shape trajectories from longitudinal datasets: a hierarchical model on a manifold of diffeomorphisms, Bone CVPR 2018
- Statistical learning of spatiotemporal patterns from longitudinal manifold-valued networks, Koval MICCAI 2017
- Personalized simulations of Alzheimer's disease progression, Koval 2018
- An event-based model for disease progression and its application in familial Alzheimer's disease and Huntington's disease, Fonteijn Neuroimage 2012
- A computational neurodegenerative disease progression score: Method and results with the Alzheimer's disease neuroimaging initiative cohort, Jedynak Neuroimage 2012
- Statistical analysis of trajectories on Riemannian manifolds: bird migration, hurricane tracking and video surveillance, Srivastava, AAS 2014
- Toward a Comprehensive Framework for the Spatiotemporal Statistical Analysis of Longitudinal Shape Data, Durrleman IJCV 2012
- Hierarchical Geodesic Models inDiffeomorphisms, Fletcher IJCV
Flots hamiltoniens et apprentissage
- Hamiltonian Generative Networks, Toth 2019
- Equivariant Hamiltonian Flows, Rezende 2019