Statistics and Geometry of Gromov-Wasserstein Distance

Add to your list(s) Download to your calendar using vCal

• Bharath Sriperumbudur (Pennsylvania State University)
• Thursday 08 May 2025, 11:45-12:45
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact nobody.

RCLW01 - Uncertainty in multivariate, non-Euclidean, and functional spaces: theory and practice

As such, GW distance enables applications including object matching, single-cell genomics, and matching language models. While computational aspects of the GW distance have been studied heuristically, most of the mathematical theories pertaining to GW duality, Brenier maps, geometry, etc., remained elusive, despite the rapid progress these aspects have seen under the classical OT paradigm in recent decades. This talk will cover recent progress on closing these gaps for the GW. We present (i) sharp statistical estimation rates through duality (ii) a thorough investigation of the Jordan-Kinderlehrer-Otto (JKO) scheme for the gradient flow of inner product GW (IGW) distance, and (iii) a dynamical formulation of IGW , which generalizes the Benamou-Brenier formula for the Wasserstein distance. Central to (ii) and (iii) is a Riemannian structure on the space of probability distributions, based on which we also propose novel numerical schemes for measure evolution and deformation. [Joint work with Zhengxin Zhang (Cornell), Ziv Goldfeld (Cornell), Kristjan Greenewald (IBM Research), and Youssef Mroueh (IBM Research)]

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

• All CMS events
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 1, Newton Institute
• bld31

Note that ex-directory lists are not shown.