19 citations · 42 across the 4 of their papers we have counts for
5 papers
Optimal Transport: Fast Probabilistic Approximation with Exact Solvers
Max Sommerfeld, Jörn Schrieber, Yoav Zemel +1
We propose a simple subsampling scheme for fast randomized approximate computation of optimal transport distances. This scheme operates on a random subset of the full data and can…
Empirical optimal transport on countable metric spaces: Distributional limits and statistical applications
Carla Tameling, Max Sommerfeld, Axel Munk
We derive distributional limits for empirical transport distances between probability measures supported on countable sets. Our approach is based on sensitivity analysis of optimal…
Inference for Empirical Wasserstein Distances on Finite Spaces
Max Sommerfeld, Axel Munk
The Wasserstein distance is an attractive tool for data analysis but statistical inference is hindered by the lack of distributional limits. To overcome this obstacle, for probabil…
Confidence regions for excursion sets in asymptotically Gaussian random fields, with an application to climate
Max Sommerfeld, Stephen Sain, Armin Schwartzman
The goal of this paper is to give confidence regions for the excursion set of a spatial function above a given threshold from repeated noisy observations on a fine grid of fixed lo…
The circular SiZer, inferred persistence of shape parameters and application to early stem cell differentiation
Stephan Huckemann, Kwang-Rae Kim, Axel Munk +4
We generalize the SiZer of Chaudhuri and Marron (J. Amer. Statist. Assoc. 94 (1999) 807-823, Ann. Statist. 28 (2000) 408-428) for the detection of shape parameters of densities on…