
A Variational View on Statistical Multiscale Estimation
We present a unifying view on various statistical estimation techniques ...
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Transport Dependency: Optimal Transport Based Dependency Measures
Finding meaningful ways to determine the dependency between two random v...
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Limit Distributions and Sensitivity Analysis for Entropic Optimal Transport on Countable Spaces
For probability measures supported on countable spaces we derive limit d...
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The Statistics of Circular Optimal Transport
Empirical optimal transport (OT) plans and distances provide effective t...
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Analyzing crosstalk between superimposed signals: Vector norm dependent hidden Markov models and applications
We propose and investigate a hidden Markov model (HMM) for the analysis ...
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Randomised Wasserstein Barycenter Computation: Resampling with Statistical Guarantees
We propose a hybrid resampling method to approximate finitely supported ...
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Variational Multiscale Nonparametric Regression: Algorithms and Implementation
Many modern statistically efficient methods come with tremendous computa...
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Optimistic search strategy: Change point detection for largescale data via adaptive logarithmic queries
As a classical and ever reviving topic, change point detection is often ...
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Heterogeneous Idealization of Ion Channel Recordings – Open Channel Noise
We propose a new modelfree segmentation method for idealizing ion chann...
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Limit Laws for Empirical Optimal Solutions in Stochastic Linear Programs
We consider a general linear program in standard form whose righthand s...
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GromovWasserstein Distance based Object Matching: Asymptotic Inference
In this paper, we aim to provide a statistical theory for object matchin...
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What is resolution? A statistical minimax testing perspective on superresolution microscopy
As a general rule of thumb the resolution of a light microscope (i.e. th...
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Seeded Binary Segmentation: A general methodology for fast and optimal change point detection
In recent years, there has been an increasing demand on efficient algori...
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Bump detection in the presence of dependency: Does it ease or does it load?
We provide the asymptotic minimax detection boundary for a bump, i.e. an...
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Total variation multiscale estimators for linear inverse problems
Even though the statistical theory of linear inverse problems is a well...
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Statistical Molecule Counting in SuperResolution Fluorescence Microscopy: Towards Quantitative Nanoscopy
Superresolution microscopy is rapidly gaining importance as an analytic...
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Multiscale quantile segmentation
We introduce a new methodology for analyzing serial data by quantile reg...
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Multiscale quantile regression
We introduce a new methodology for analyzing serial data by quantile reg...
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Empirical Regularized Optimal Transport: Statistical Theory and Applications
We derive limit distributions for certain empirical regularized optimal ...
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Posterior Consistency in the Binomial (n,p) Model with Unknown n and p: A Numerical Study
Estimating the parameters from k independent Bin(n,p) random variables, ...
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Posterior consistency for n in the binomial (n,p) problem with both parameters unknown  with applications to quantitative nanoscopy
The estimation of the population size n from k i.i.d. binomial observati...
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Frameconstrained Total Variation Regularization for White Noise Regression
Despite the popularity and practical success of total variation (TV) reg...
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Maximum likelihood estimation in hidden Markov models with inhomogeneous noise
We consider parameter estimation in hidden finite state space Markov mod...
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Multidimensional multiscale scanning in Exponential Families: Limit theory and statistical consequences
In this paper we consider the problem of finding anomalies in a ddimens...
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Optimal Transport: Fast Probabilistic Approximation with Exact Solvers
We propose a simple subsampling scheme for fast randomized approximate c...
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Minimax estimation in linear models with unknown finite alphabet design
We provide minimax theory for joint estimation of F and ω in linear mode...
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Statistical Multiresolution Estimation for Variational Imaging: With an Application in PoissonBiophotonics
In this paper we present a spatiallyadaptive method for image reconstru...
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Statistical Multiresolution Dantzig Estimation in Imaging: Fundamental Concepts and Algorithmic Framework
In this paper we are concerned with fully automatic and locally adaptive...
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Modeling the growth of fingerprints improves matching for adolescents
We study the effect of growth on the fingerprints of adolescents, based ...
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Pvalues for classification
Let (X,Y) be a random variable consisting of an observed feature vector ...
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Axel Munk
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