Bayesian inversion is central to the quantification of uncertainty within problems arising from numerous applications in science and engineering. To formulate the approach, four …
We study the geometry of conditional optimal transport (COT) and prove a dynamical formulation which generalizes the Benamou-Brenier Theorem. With these tools, we propose …
Given a forward mapping Φ: RN→ RM, the region {x∈ RN,∥ Φ (x)-y∥ 2≤ ε}, where y∈ RM is a given vector and ε≥ 0 is a perturbation amplitude, represents the set of all possible …
M Piening, M Chung - arXiv preprint arXiv:2412.07586, 2024 - arxiv.org
Wasserstein distances greatly influenced and coined various types of generative neural network models. Wasserstein autoencoders are particularly notable for their mathematical …
V Aksenov, M Eigel - arXiv preprint arXiv:2411.12430, 2024 - arxiv.org
The possibility of using the Eulerian discretization for the problem of modelling high- dimensional distributions and sampling, is studied. The problem is posed as a minimization …
Contrast enhancement by Gadolinium-based contrast agents (GBCAs) is a vital tool for tumor diagnosis in neuroradiology. Based on brain MRI scans of glioblastoma before and …