A nonparametric Wasserstein distance-based active contour model that is able to utilize image histogram information in local region is presented.To quantify the similarity between two regions,we proposed to compare their respective ...
This article establishes explicit non-asymptotic ergodic bounds in the renormalized Wasserstein–Kantorovich–Rubinstein (WKR) distance for a viscous energy shell lattice model of turbulence with random energy injection. The system under consideration is driven either by a Brownian motion, a symmetric α...
NOISEThis article establishes explicit non-asymptotic ergodic bounds in the renormalized Wasserstein–Kantorovich–Rubinstein (WKR) distance for a viscous energy shell lattice model of turbulence with random energy injection. The system under consideration is driven either by a Brownian motion, a ...
aiming to fool its opponent, while the opponent (Discriminator) attempts to discriminate real images from synthetic images. Such adversarial competition is the key idea behind GAN models. To measure the distance between real and fake data distributions, [1] proposed the objective...
This article establishes non-asymptotic ergodic bounds in the renormalized, weighted Kantorovich-Wasserstein-Rubinstein distance for a viscous energy shell lattice model of turbulence with random energy injection. The obtained bounds turn out to be asymptotically sharp and establish abrupt thermalization. ...
EnergyFu X, Guo Q, Sun H, Pan Z, Xiong W, Wang L. Typical scenario set generation algorithm for an integrated energy system based on the Wasserstein distance metric. Energy 2017;135:153-70.Fu, X.Q.; Guo, Q.L.; Sun, H.B.; Pan, Z.; Xiong, W.; Wang, L. Typical scenario ...
Similarly, generative adversarial networks have shown promise in capturing the stochastic nature of renewable energy systems. WGANs, with their Wasserstein distance-based optimization, have proven to be more stable and effective than traditional GANs in generating high-quality synthetic data. Yet, their...
The tests indicate that the mutation operators play a major part in the performances of the algorithms. Keywords: clouds of points; evolutionary; operators; Wasserstein distance; barycenter1. Introduction and Related Work 1.1. General Context This work concerns the optimization of functions defined ...