تقرير
The Gromov-Wasserstein distance between spheres
| العنوان: | The Gromov-Wasserstein distance between spheres |
|---|---|
| المؤلفون: | Arya, Shreya, Auddy, Arnab, Edmonds, Ranthony, Lim, Sunhyuk, Memoli, Facundo, Packer, Daniel |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Metric Geometry, Mathematics - Optimization and Control |
| الوصف: | In this paper we consider a two-parameter family {dGWp,q}p,q of Gromov- Wasserstein distances between metric measure spaces. By exploiting a suitable interaction between specific values of the parameters p and q and the metric of the underlying spaces, we determine the exact value of the distance dGW4,2 between all pairs of unit spheres of different dimension endowed with their Euclidean distance and their uniform measure. Comment: 1. Added a Section 4, Section 5, and Appendix C; 2. Swapped Sections 2 and 3; 3. "Relagated Proofs" section (Section 4 in the old version) is now in appendix |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2306.10586 |
| رقم الأكسشن: | edsarx.2306.10586 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |