Marcel Klatt | |||||||||
|
About Me |
I am a doctor in mathematical science focused on statistics and stochastics. During the last five years, I have been involved in projects centered on the theory of optimal transport and its potential applications as a new tool for statistical data science. I have contributed to a new era of statistical data analysis via optimal transport-based methods with several scientific publications. Currently, I am a postdoctoral researcher at the University of Göttingen. I seek to apply my mathematical knowledge to perform data analysis that contributes to face the challenges of the ever changing planet. |
Publications & Preprints |
Empirical Regularized Optimal Transport: Statistical Theory and Applications -- https://epubs.siam.org/doi/pdf/10.1137/19M1278788 Limit Laws for Empirical Optimal Solutions in Random Linear Programs -- https://arxiv.org/abs/2007.13473 The Statistics of Circular Optimal Transport -- https://arxiv.org/abs/2103.15426 Limit Distribution and Sensitivity Analysis for Entropic Optimal Transport on Countable Spaces -- https://arxiv.org/abs/2105.00049 Kantorovich Rubinstein Distance and Barycenter for Finitely Supported Measures: Foundations and Algorithms -- https://arxiv.org/abs/2112.03581 A Unifying Approach to Distributional Limits for Empirical Optimal Transport -- https://arxiv.org/abs/2202.12790 |
Slides |
Valladolid.pdf (Mass Transportation Theory: Opening perspectives in Statistics, Probability and Computer Science) GRK2088(2).pdf (Annual GRK2088 meeting, 2019) Muenchen.pdf (DAGStat: Statistics under one umbrella) Ohio.pdf (Optimal Transport, Topological Data Analysis and Applications to Shape and Machine Learning) |
R-Software |
Curriculum Vitae |