3 papers
math.FA2021
Families of extensions of the Kantorovich-Rubinstein and Lipschitz norms
Dávid Terjék
We propose a family of extensions of the Kantorovich-Rubinstein norm from the space of zero-charge countably additive measures on a compact metric space to the space of all countab…
math.FA2021
A primal representation of the Monge-Kantorovich norm
Dávid Terjék
In this note, following \cite{Chitescuetal2014}, we show that the Monge-Kantorovich norm on the vector space of countably additive measures on a compact metric space has a primal r…
cs.LG2019
Adversarial Lipschitz Regularization
Dávid Terjék
Generative adversarial networks (GANs) are one of the most popular approaches when it comes to training generative models, among which variants of Wasserstein GANs are considered s…