4 papers
Fast Gradient-Based Approximation of Continuous Dynamic Time Warping
Pierre Houedry, Romain Tavenard, Nicolas Courty +1
Dynamic Time Warping (DTW) is a common choice for measuring the discrepancy between time series. It proceeds by finding an optimal warping between timestamps through dynamic progra…
Take It or Leave It: Intent-Controlled Partial Optimal Transport
Salil Parth Tripathi, Bertrand Chapron, Fabrice Collard +2
While optimal transport (OT) enforces a rigid constraint by requiring two measures to be matched exactly, partial optimal transport relaxes this requirement by allowing mass to rem…
Spherical Harmonic Optimal Transport: Application to Climate Models Comparisons
Pierre Houédry, Iskander Legheraba, Léo Buecher +1
Optimal transport provides a powerful framework for comparing measures while respecting the geometry of their support, but comes with an expensive computational cost, hindering its…
Non-Euclidean Sliced Optimal Transport Sampling
Baptiste Genest, Nicolas Courty, David Coeurjolly
In machine learning and computer graphics, a fundamental task is the approximation of a probability density function through a well-dispersed collection of samples. Providing a for…