2 problems

0 votes0 replies0 views
Convergence of multidimensional scaling embeddings under Gromov–Wasserstein convergence
Let $(X_n,d_n,\mu_n)$ for $n\in\mathbb{N}$ be a sequence of metric measure spaces that converges to $(X,d,\mu)$ in the Gromov–Wasserstein distance. The associated multidimensional…
Conjectureopengromov-wasserstein-distance metric-measure-spaces multidimensional-scalingarXiv posted 2 days ago
0 votes0 replies0 views
The conjecture that UGW and CGW are not equal
Let UGW and CGW denote the unbalanced and conic Gromov–Wasserstein formulations, respectively. The scaling parameter $\theta$ depends on $(x,r,x',r',y,s,y',s')$ and is therefore no…
Conjectureopengromov-wasserstein-distance optimal-transportarXiv posted 2 days ago

Convergence of multidimensional scaling embeddings under Gromov–Wasserstein convergence