Feb 4, 2024 · This paper introduces a high-speed and highly parallelizable distance for comparing spherical measures using the stereographic projection and ...
This paper introduces a high-speed and highly parallelizable distance for comparing spherical measures using the stereographic projection and the generalized ...
Introducing a computationally efficient transport dis- tance, Stereographic Spherical Sliced Wasserstein dis- tance (S3W), for spherical probability measures. • ...
Sep 22, 2024 · This study presents a new method for comparing spherical probability distributions, which are important in fields like geology, medical imaging, ...
[PDF] Stereographic Spherical Sliced Wasserstein Distances
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Feb 4, 2024 · A high-speed and highly parallelizable distance for comparing spherical measures using the stereographic projection and the generalized ...
People also ask
What is the sliced Wasserstein distance?
Wasserstein distances are increasingly used in a wide variety of applications in machine learning. Sliced Wasserstein distances form an important subclass which may be es- timated efficiently through one-dimensional sorting operations.
What is the Wasserstein Fourier distance?
The Wasserstein-Fourier (WF) distance is a new framework for analysing stationary time series based on optimal transport distances and spectral embeddings.
What is stereographic projection distance?
The stereographic projection gives a way to represent a sphere by a plane. The metric induced by the inverse stereographic projection from the plane to the sphere defines a geodesic distance between points in the plane equal to the spherical distance between the spherical points they represent.
Is the Wasserstein distance a distance?
Wikipedia tells us that “Wasserstein distance […] is a distance function defined between probability distributions on a given metric space M”.
Feb 1, 2023 · The SSW is the first step towards defining slice-based Wasserstein distances for measures defined on manifolds. Closed-form solutions to ...
Feb 6, 2024 · Stereographic Spherical Sliced Wasserstein Distances. ... Comparing spherical probability distributions is of great interest in various fields, ...
[1] Huy Tran et al., Stereographic Spherical Sliced Wasserstein Distances. [2] Michael Quellmalz et al., Sliced Optimal Transport on the Sphere. [3] Michael ...
Aug 2, 2024 · (ICML 2024) Stereographic Spherical Sliced Wasserstein Distances. 32 views · 4 months ago ...more. Try YouTube Kids.