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Optimal Transport

Benchmarks

Dataset Name	SOTA Method	Metric
DOTmark	Sinkhorn	Execution Time (s)1	18	2mo ago
MNIST	PINS	Log10 Relative Error-3.48	12	2mo ago
Synthetic	PINS	Log10 Relative Error-4.75	12	2mo ago
Rotating Moons (90° shift)	ReshapeOT	Mean Transport Error0.1	7	2mo ago
Rotating Moons (70° shift)	ReshapeOT	Mean Transport Error0.08	7	2mo ago
Rotating Moons (50° shift)	ReshapeOT	Mean Transport Error0.06	7	2mo ago
Rotating Moons (30° shift)	ReshapeOT	Mean Transport Error0.09	7	2mo ago
Rotating Moons 10° shift		Mean Transport Error0.04	7	2mo ago
Appliances 6h shift	ReshapeOT	Mean Transport Error1.26	7	2mo ago
Appliances 5h shift	ReshapeOT	Mean Transport Error0.96	7	2mo ago
Appliances (4h shift)	ReshapeOT	Mean Transport Error0.7	7	2mo ago
Appliances 3h shift	ReshapeOT	Mean Transport Error0.45	7	2mo ago
Appliances 2h shift	ReshapeOT	Mean Transport Error0.24	7	2mo ago
Appliances 1h shift	ReshapeOT	Mean Transport Error0.06	7	2mo ago
Air Quality (6h shift)	ReshapeOT	Mean Transport Error1.17	7	2mo ago
Air Quality (5h shift)	ReshapeOT	Mean Transport Error1.07	7	2mo ago
Air Quality (4h shift)	ReshapeOT	Mean Transport Error0.95	7	2mo ago
Air Quality (3h shift)	ReshapeOT	Mean Transport Error0.8	7	2mo ago
Air Quality 2h shift	ReshapeOT	Mean Transport Error0.55	7	2mo ago
Air Quality 1h shift	ReshapeOT	Mean Transport Error0.2	7	2mo ago
Point-cloud Optimal Transport	SetONet	Relative L2 Error0.0521	5	3mo ago
Quad (Quadratic potential synthetic data)	Selection via semi-dual Brenier objective	Epsilon Mu (f_i0)0.014	4	4mo ago
Hypergrid Moon distribution	minimum-flow GFlowNet	TV0.022	3	1mo ago
Hypergrid Ball distribution	minimum-flow GFlowNet	TV0.024	3	1mo ago
Continuous Wasserstein-2 (W2) benchmark	[3]	Early Stage Value0.61	3	4mo ago

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