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04/28/2023
Inverse Consistency by Construction for Multistep Deep Registration
Inverse consistency is a desirable property for image registration. We p...
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12/08/2022
A geometric Laplace method
A classical tool for approximating integrals is the Laplace method. The ...
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11/16/2022
Unbalanced Optimal Transport, from Theory to Numerics
Optimal Transport (OT) has recently emerged as a central tool in data sc...
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06/13/2022
GradICON: Approximate Diffeomorphisms via Gradient Inverse Consistency
Many registration approaches exist with early work focusing on optimizat...
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03/17/2022
Stability and upper bounds for statistical estimation of unbalanced transport potentials
In this note, we derive upper-bounds on the statistical estimation rates...
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02/03/2022
Toric Geometry of Entropic Regularization
Entropic regularization is a method for large-scale linear programming. ...
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01/03/2022
Faster Unbalanced Optimal Transport: Translation invariant Sinkhorn and 1-D Frank-Wolfe
Unbalanced optimal transport (UOT) extends optimal transport (OT) to tak...
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12/14/2021
Convex transport potential selection with semi-dual criterion
Over the past few years, numerous computational models have been develop...
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12/10/2021
Global convergence of ResNets: From finite to infinite width using linear parameterization
Overparametrization is a key factor in the absence of convexity to expla...
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05/10/2021
ICON: Learning Regular Maps Through Inverse Consistency
Learning maps between data samples is fundamental. Applications range fr...
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01/13/2021
A dimension free computational upper-bound for smooth optimal transport estimation
It is well-known that plug-in statistical estimation of optimal transpor...
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09/09/2020
The Unbalanced Gromov Wasserstein Distance: Conic Formulation and Relaxation
Comparing metric measure spaces (i.e. a metric space endowed with a prob...
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06/18/2020
A Shooting Formulation of Deep Learning
Continuous-depth neural networks can be viewed as deep limits of discret...
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06/15/2020
Faster Wasserstein Distance Estimation with the Sinkhorn Divergence
The squared Wasserstein distance is a natural quantity to compare probab...
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10/28/2019
Sinkhorn Divergences for Unbalanced Optimal Transport
This paper extends the formulation of Sinkhorn divergences to the unbala...
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06/01/2019
Region-specific Diffeomorphic Metric Mapping
We introduce a region-specific diffeomorphic metric mapping (RDMM) regis...
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04/21/2019
Metric Learning for Image Registration
Image registration is a key technique in medical image analysis to estim...
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10/18/2018
Interpolating between Optimal Transport and MMD using Sinkhorn Divergences
Comparing probability distributions is a fundamental problem in data sci...
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12/20/2016