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math.PR2026
Almost stochastic dominance via optimal transport
Alfred Müller, Johannes Wiesel
We study parametric classes of almost stochastic dominance on general Polish spaces as order relations for probability distributions with a parameter . Larger values of…
math.ST2026
Dependence Measures via Adapted Optimal Transport: Stability and Rates of Convergence
Jonathan Ansari, Johannes Wiesel
Recently studied dependence measures, such as Chatterjee's rank correlation, that characterize both independence and perfect functional dependence, provide a powerful framework for…
math.PR2026
Adapted Wasserstein Barycenters of Gaussian Processes
Madhu Gunasingam, Francesco Mattesini, Johannes Wiesel +1
We study barycenters of filtered Gaussian processes in adapted Wasserstein space. The adapted Wasserstein distance refines classical optimal transport by requiring transport plans…