Munk, Axel

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

Authors del Álamo M, Li H, Munk A Journal The Annals of Statistics Citation Ann. Statist. 49(3): 1318-1346 (June 2021). Abstract Despite the popularity and practical success of total variation (TV) regularization for function estimation, surprisingly little is known about its theoretical performance in a statistical setting. While TV regularization

Authors Nies TG, Staudt T, Munk A Journal ArXiv Citation arXiv:2105.02073. Abstract For probability measures supported on countable spaces we derive limit distributions for empirical entropic optimal transport quantities. In particular, we prove that the corresponding plan converges weakly to a centered Gaussian process. Furthermore, its optimal value is shown

Authors Pelizzola M, Behr M, Li H, Munk A, Futschik A Journal Nature Computational Science Citation Nat Comput Sci 1, 262–271 (2021). Abstract Because haplotype information is of widespread interest in biomedical applications, effort has been put into their reconstruction. Here, we propose an efficient method, called haploSep, that is

Authors Pein F, Eltzner B, Munk A Journal European Biophysics Journal Citation Eur Biophys J. 2021 Apr 9. Abstract Analysis of patchclamp recordings is often a challenging issue. We give practical guidance how such recordings can be analyzed using the model-free multiscale idealization methodology JSMURF, JULES, and HILDE. We provide