Deep neural networks on diffeomorphism groups for optimal shape reparametrization

Structure-preserving deep learning

(2021) E. CELLEDONI et al.   EUROPEAN JOURNAL OF APPLIED MATHEMATICS

Control on the Manifolds of Mappings with a View to the Deep Learning

(2021) Andrei Agrachev et al.   JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS

Shape Analysis of Surfaces Using General Elastic Metrics

(2020) Zhe Su et al.   JOURNAL OF MATHEMATICAL IMAGING AND VISION

Diffeomorphism groups of compact convex sets

(2017) Helge Glöckner et al.   INDAGATIONES MATHEMATICAE-NEW SERIES

Stable architectures for deep neural networks

(2017) Eldad Haber et al.   INVERSE PROBLEMS

Shape analysis on Lie groups with applications in computer animation

(2016) Elena Celledoni et al.   Journal of Geometric Mechanics

Constructing reparameterization invariant metrics on spaces of plane curves

(2014) Martin Bauer et al.   DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

Density estimation by dual ascent of the log-likelihood

(2013) Esteban G. Tabak et al.   Communications in Mathematical Sciences

Elastic Geodesic Paths in Shape Space of Parameterized Surfaces

(2011) S. Kurtek et al.   IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE

Shape Analysis of Elastic Curves in Euclidean Spaces

(2010) A Srivastava et al.   IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE

Controllability on the group of diffeomorphisms

(2009) A.A. Agrachev et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE