77 citations · 561 across the 68 of their papers we have counts for
76 papers
Gromov-Wasserstein Barycenter Surrogates: Statistical Methodology, Distributional Limits and Applications
Florian Steinkamp, Luis-Alberto Rodríguez, Jan Victor Otte +1
We introduce statistical theory for the matching of finitely many objects, represented as metric measure spaces (mm-spaces). The approach is based on the second lower bound (SLB) o…
A scalable clustering algorithm to approximate graph cuts
Leo Suchan, Housen Li, Axel Munk
Due to their computational complexity, graph cuts for cluster detection and identification are used mostly in the form of convex relaxations. We propose to utilize the original gra…
Multiscale scanning with nuisance parameters
Claudia König, Axel Munk, Frank Werner
We develop a multiscale scanning method to find anomalies in a -dimensional random field in the presence of nuisance parameters. This covers the common situation that either the…
Quick Adaptive Ternary Segmentation: An Efficient Decoding Procedure For Hidden Markov Models
Alexandre Mösching, Housen Li, Axel Munk
Hidden Markov models (HMMs) are characterized by an unobservable Markov chain and an observable process -- a noisy version of the hidden chain. Decoding the original signal from th…
Empirical Optimal Transport under Estimated Costs: Distributional Limits and Statistical Applications
Shayan Hundrieser, Gilles Mordant, Christoph Alexander Weitkamp +1
Optimal transport (OT) based data analysis is often faced with the issue that the underlying cost function is (partially) unknown. This paper is concerned with the derivation of di…
Towards quantitative super-resolution microscopy: Molecular maps with statistical guarantees
Katharina Proksch, Frank Werner, Jan Keller-Findeisen +2
Quantifying the number of molecules from fluorescence microscopy measurements is an important topic in cell biology and medical research. In this work, we present a consecutive alg…