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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, ...
Feb 4, 2024 · A high-speed and highly parallelizable distance for comparing spherical measures using the stereographic projection and the generalized ...
People also ask
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.
The Wasserstein-Fourier (WF) distance is a new framework for analysing stationary time series based on optimal transport distances and spectral embeddings.
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.
Wikipedia tells us that “Wasserstein distance […] is a distance function defined between probability distributions on a given metric space M”.
Feb 6, 2024 · Stereographic Spherical Sliced Wasserstein Distances. ... Comparing spherical probability distributions is of great interest in various fields, ...
Stereographic Spherical Sliced Wasserstein Distances. from www.aimodels.fyi
Jun 10, 2024 · The paper introduces a new way to compare the shapes of spherical data called the Stereographic Spherical Sliced Wasserstein (S3W) distance.
[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.