Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:Metric |
| gptkbp:alsoKnownAs |
gptkb:Earth_Mover's_Distance
|
| gptkbp:definedIn |
metric spaces
|
| gptkbp:field |
gptkb:mathematics
gptkb:probability_theory optimal transport |
| gptkbp:hasSpecialCase |
Wasserstein distance
Kantorovich-Rubinstein metric |
| https://www.w3.org/2000/01/rdf-schema#label |
Wasserstein-1 distance
|
| gptkbp:mathematicalDefinition |
infimum of expected value of distance under all couplings of two distributions
|
| gptkbp:measures |
distance between probability distributions
|
| gptkbp:namedAfter |
gptkb:Leonid_Kantorovich
gptkb:Andrey_Kolmogorov |
| gptkbp:notation |
gptkb:EMD
W_1 |
| gptkbp:relatedTo |
gptkb:Monge-Kantorovich_problem
optimal transport problem |
| gptkbp:satisfies |
gptkb:symmetry
identity of indiscernibles non-negativity triangle inequality |
| gptkbp:usedIn |
gptkb:machine_learning
gptkb:generative_adversarial_networks computer vision statistics |
| gptkbp:bfsParent |
gptkb:Wasserstein_GAN_(Arjovsky_et_al.,_2017)
|
| gptkbp:bfsLayer |
6
|