François-Xavier Vialard

Latest

• Nonnegative cross-curvature in infinite dimensions: synthetic definition and spaces of measures
• Entropic Semi-Martingale Optimal Transport
• CARL: A Framework for Equivariant Image Registration
• Semi-Discrete Optimal Transport: Nearly Minimax Estimation With Stochastic Gradient Descent and Adaptive Entropic Regularization
• Understanding the training of infinitely deep and wide ResNets with Conditional Optimal Transport
• On the global convergence of Wasserstein gradient flow of the Coulomb discrepancy
• Inverse Consistency by Construction for Multistep Deep Registration
• A geometric Laplace method
• Unbalanced Optimal Transport, from Theory to Numerics
• On the existence of Monge maps for the Gromov-Wasserstein distance
• GradICON: Approximate Diffeomorphisms via Gradient Inverse Consistency.
• Stability of Semi-Dual Unbalanced Optimal Transport: fast statistical rates and convergent algorithm
• Toric Geometry of Entropic Regularization
• Faster Unbalanced Optimal Transport: Translation invariant Sinkhorn and 1-D Frank-Wolfe
• Regularity theory and geometry of unbalanced optimal transport
• Convex transport potential selection with semi-dual criterion
• Global convergence of ResNets: From finite to infinite width using linear parameterization
• Near-optimal estimation of smooth transport maps with kernel sums-of-squares
• ICON: Learning Regular Maps Through Inverse Consistency
• A dimension free computational upper-bound for smooth optimal transport estimation
• The Unbalanced Gromov Wasserstein Distance: Conic Formulation and Relaxation
• A Shooting Formulation of Deep Learning
• Faster Wasserstein Distance Estimation with the Sinkhorn Divergence
• A discretize–optimize approach for LDDMM registration
• Spatially adaptive metrics for diffeomorphic image matching in LDDMM
• Generalized compressible fluid flows and solutions of the Camassa-Holm variational model
• Metric completion of Diff([0,1]) with the H1 right-invariant metric
• Region-specific Diffeomorphic Metric Mapping
• Metric Learning for Image Registration
• Interpolating between Optimal Transport and MMD using Sinkhorn Divergences
• Second order models for optimal transport and cubic splines on the Wasserstein space
• Sinkhorn Divergences for Unbalanced Optimal Transport
• Embedding Camassa-Holm equations in incompressible Euler
• Unbalanced Optimal Transport: Dynamic and Kantorovich Formulations
• An Interpolating Distance Between Optimal Transport and Fisher--Rao Metrics
• Variational Second-Order Interpolation on the Group of Diffeomorphisms with a Right-Invariant Metric
• Optimal Transport for Diffeomorphic Registration
• On completeness of groups of diffeomorphisms
• Geodesics on shape spaces with bounded variation and Sobolev metrics
• Piecewise rigid curve deformation via a Finsler steepest descent
• Splines for diffeomorphisms
• Diffeomorphic Image Matching with Left-Invariant Metrics
• Longitudinal deformation models, spatial regularizations and learning strategies to quantify Alzheimer's disease progression
• Spatially-Varying Metric Learning for Diffeomorphic Image Registration: A Variational Framework
• A Second-Order Model for Time-Dependent Data Interpolation: Splines on Shape Spaces
• Extension to infinite dimensions of a stochastic second-order model associated with shape splines
• Left-Invariant Metrics for Diffeomorphic Image Registration with Spatially-Varying Regularisation
• Piecewise-diffeomorphic image registration: Application to the motion estimation between 3D CT lung images with sliding conditions
• Piecewise-diffeomorphic image registration: Application to the motion estimation between 3D CT lung images with sliding conditions
• Riemannian metrics for statistics on shapes: Parallel transport and scale invariance
• Diffeomorphic 3D Image Registration via Geodesic Shooting Using an Efficient Adjoint Calculation
• Geodesic Regression for Image Time-Series
• Coronary Motion Estimation from CTA Using Probability Atlas and Diffeomorphic Registration
• Diffeomorphic Atlas Estimation using Geodesic Shooting on Volumetric Images
• Large Deformation Diffeomorphic Registration Using Fine and Coarse Strategies
• Correlation, CDOs of ABS and the subprime crisis
• Extension to BV functions of the large deformation diffeomorphisms matching approach