Timezone: »
Poster
Riemannian Convex Potential Maps
samuel cohen · Brandon Amos · Yaron Lipman
Modeling distributions on Riemannian manifolds is a crucial component in understanding non-Euclidean data that arises, e.g., in physics and geology. The budding approaches in this space are limited by representational and computational tradeoffs. We propose and study a class of flows that uses convex potentials from Riemannian optimal transport. These are universal and can model distributions on any compact Riemannian manifold without requiring domain knowledge of the manifold to be integrated into the architecture. We demonstrate that these flows can model standard distributions on spheres, and tori, on synthetic and geological data.
Author Information
samuel cohen (University College London)
Brandon Amos (Facebook AI Research)
Yaron Lipman (Facebook AI Research)
Related Events (a corresponding poster, oral, or spotlight)
-
2021 Spotlight: Riemannian Convex Potential Maps »
Tue. Jul 20th 02:20 -- 02:25 PM Room None
More from the Same Authors
-
2021 : Neural Fixed-Point Acceleration for Convex Optimization »
Shobha Venkataraman · Brandon Amos -
2022 Poster: Matching Normalizing Flows and Probability Paths on Manifolds »
Heli Ben-Hamu · samuel cohen · Joey Bose · Brandon Amos · Maximilian Nickel · Aditya Grover · Ricky T. Q. Chen · Yaron Lipman -
2022 Spotlight: Matching Normalizing Flows and Probability Paths on Manifolds »
Heli Ben-Hamu · samuel cohen · Joey Bose · Brandon Amos · Maximilian Nickel · Aditya Grover · Ricky T. Q. Chen · Yaron Lipman -
2021 Poster: Phase Transitions, Distance Functions, and Implicit Neural Representations »
Yaron Lipman -
2021 Spotlight: Phase Transitions, Distance Functions, and Implicit Neural Representations »
Yaron Lipman -
2021 Poster: CombOptNet: Fit the Right NP-Hard Problem by Learning Integer Programming Constraints »
Anselm Paulus · Michal Rolinek · Vit Musil · Brandon Amos · Georg Martius -
2021 Spotlight: CombOptNet: Fit the Right NP-Hard Problem by Learning Integer Programming Constraints »
Anselm Paulus · Michal Rolinek · Vit Musil · Brandon Amos · Georg Martius -
2020 Poster: Healing Products of Gaussian Process Experts »
samuel cohen · Rendani Mbuvha · Tshilidzi Marwala · Marc Deisenroth -
2020 Poster: Implicit Geometric Regularization for Learning Shapes »
Amos Gropp · Lior Yariv · Niv Haim · Matan Atzmon · Yaron Lipman -
2020 Poster: The Differentiable Cross-Entropy Method »
Brandon Amos · Denis Yarats -
2019 : Yaron Lipman, Weizmann Institute of Science »
Yaron Lipman -
2019 Poster: On the Universality of Invariant Networks »
Haggai Maron · Ethan Fetaya · Nimrod Segol · Yaron Lipman -
2019 Oral: On the Universality of Invariant Networks »
Haggai Maron · Ethan Fetaya · Nimrod Segol · Yaron Lipman