Munk, Axel

Authors Heinemann F, Klatt M, Munk A Journal Applied Mathematics & Optimization Citation Appl Math Optim 87, 4 (2023). Abstract The purpose of this paper is to provide a systematic discussion of a generalized barycenter based on a variant of unbalanced optimal transport (UOT) that defines a distance between general

Authors Kovács S, Li H, Bühlmann P, Munk A Journal Biometrika Citation Biometrika, 2022, asac052. Abstract We propose seeded binary segmentation for large scale changepoint detection problems. We construct a deterministic set of background intervals, called seeded intervals, in which single changepoint candidates are searched for. The final selection of

Authors Weitkamp CA, Proksch K, Tameling C, Munk A Journal Journal of the American Statistical Association Citation J Am Stat Assoc. 1-32. 2022. Abstract In this paper, we aim to provide a statistical theory for object matching based on a lower bound of the Gromov-Wasserstein distance related to the distribution

Authors Hundrieser S, Klatt M, Munk A Journal Directional Statistics for Innovative Applications Citation SenGupta, A., Arnold, B.C. (eds) Directional Statistics for Innovative Applications. Forum for Interdisciplinary Mathematics. Springer, Singapore. Abstract Empirical optimal transport (OT) plans and distances provide effective tools to compare and statistically match probability measures defined on

Authors Behr M, Munk A Journal SIAM Journal on Mathematics of Data Science Citation SIAM Journal on Mathematics of Data Science 4(2):490-513. Abstract We provide a minimax optimal estimation procedure for F and W in matrix valued linear models Y = F W + Z where the parameter matrix W

Authors Haltmeier M, Li H, Munk A Journal Annual Review of Statistics and Its Application Citation Annu. Rev. Stat. Appl. 2022.9:343-372. Abstract We present a unifying view on various statistical estimation techniques including penalization, variational, and thresholding methods. These estimators are analyzed in the context of statistical linear inverse problems

Authors Heinemann F, Munk A, Zemel Y Journal SIAM Journal on Mathematics of Data Science Citation SIAM Journal on Mathematics of Data Science 2022 4:1, 229-259. Abstract We propose a hybrid resampling method to approximate finitely supported Wasserstein barycenters on large-scale datasets, which can be combined with any exact solver.

Authors Staudt T, Hundrieser S, Munk A Journal arXiv Citation arXiv:2201.08316. Abstract Kantorovich potentials denote the dual solutions of the renowned optimal transportation problem. Uniqueness of these solutions is relevant from both a theoretical and an algorithmic point of view, and has recently emerged as a necessary condition for asymptotic

Authors Schmidt-Hieber J, Schneider LF, Staudt T, Krajina A, Aspelmeier T, Munk A Journal The Annals of Statistics Citation Ann. Statist. 49(6): 3534-3558 (December 2021). Abstract Estimation of the population size n from k i.i.d. binomial observations with unknown success probability p is relevant to a multitude of applications and

Authors Kulaitis G, Munk A, Werner F Journal The Annals of Statistic Citation Ann. Statist. 49(4): 2292-2312 (August 2021). Abstract As a general rule of thumb the resolution of a light microscope (i.e., the ability to discern objects) is predominantly described by the full width at half maximum (FWHM) of