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08/18/2023
A scalable clustering algorithm to approximate graph cuts
Due to its computational complexity, graph cuts for cluster detection an...
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07/25/2023
Multiscale scanning with nuisance parameters
We investigate the problem to find anomalies in a d-dimensional random f...
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05/29/2023
Quick Adaptive Ternary Segmentation: An Efficient Decoding Procedure For Hidden Markov Models
Hidden Markov models (HMMs) are characterized by an unobservable (hidden...
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01/03/2023
Empirical Optimal Transport under Estimated Costs: Distributional Limits and Statistical Applications
Optimal transport (OT) based data analysis is often faced with the issue...
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11/16/2022
Unbalanced Kantorovich-Rubinstein distance and barycenter for finitely supported measures: A statistical perspective
We propose and investigate several statistical models and corresponding ...
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07/27/2022
Towards quantitative super-resolution microscopy: Molecular maps with statistical guarantees
Quantifying the number of molecules from fluorescence microscopy measure...
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04/13/2022
Statistical analysis of random objects via metric measure Laplacians
In this paper, we consider a certain convolutional Laplacian for metric ...
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02/25/2022
A Unifying Approach to Distributional Limits for Empirical Optimal Transport
We provide a unifying approach to central limit type theorems for empiri...
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02/21/2022
Empirical Optimal Transport between Different Measures Adapts to Lower Complexity
The empirical optimal transport (OT) cost between two probability measur...
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12/10/2021
Minimax detection of localized signals in statistical inverse problems
We investigate minimax testing for detecting local signals or linear com...
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06/10/2021
A Variational View on Statistical Multiscale Estimation
We present a unifying view on various statistical estimation techniques ...
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05/05/2021
Transport Dependency: Optimal Transport Based Dependency Measures
Finding meaningful ways to determine the dependency between two random v...
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04/30/2021
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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03/29/2021
The Statistics of Circular Optimal Transport
Empirical optimal transport (OT) plans and distances provide effective t...
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03/10/2021
Analyzing cross-talk 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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12/11/2020
Randomised Wasserstein Barycenter Computation: Resampling with Statistical Guarantees
We propose a hybrid resampling method to approximate finitely supported ...
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10/20/2020
Variational Multiscale Nonparametric Regression: Algorithms and Implementation
Many modern statistically efficient methods come with tremendous computa...
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10/20/2020
Optimistic search strategy: Change point detection for large-scale data via adaptive logarithmic queries
As a classical and ever reviving topic, change point detection is often ...
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08/06/2020
Heterogeneous Idealization of Ion Channel Recordings – Open Channel Noise
We propose a new model-free segmentation method for idealizing ion chann...
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07/27/2020
Limit Laws for Empirical Optimal Solutions in Stochastic Linear Programs
We consider a general linear program in standard form whose right-hand s...
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06/22/2020
Gromov-Wasserstein Distance based Object Matching: Asymptotic Inference
In this paper, we aim to provide a statistical theory for object matchin...
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05/15/2020
What is resolution? A statistical minimax testing perspective on super-resolution microscopy
As a general rule of thumb the resolution of a light microscope (i.e. th...
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02/16/2020
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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06/19/2019
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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05/21/2019
Total variation multiscale estimators for linear inverse problems
Even though the statistical theory of linear inverse problems is a well-...
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03/24/2019
Statistical Molecule Counting in Super-Resolution Fluorescence Microscopy: Towards Quantitative Nanoscopy
Super-resolution microscopy is rapidly gaining importance as an analytic...
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02/25/2019
Multiscale quantile segmentation
We introduce a new methodology for analyzing serial data by quantile reg...
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02/25/2019
Multiscale quantile regression
We introduce a new methodology for analyzing serial data by quantile reg...
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10/23/2018
Empirical Regularized Optimal Transport: Statistical Theory and Applications
We derive limit distributions for certain empirical regularized optimal ...
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09/07/2018
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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09/07/2018
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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07/05/2018
Frame-constrained Total Variation Regularization for White Noise Regression
Despite the popularity and practical success of total variation (TV) reg...
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04/11/2018
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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02/22/2018
Multidimensional multiscale scanning in Exponential Families: Limit theory and statistical consequences
In this paper we consider the problem of finding anomalies in a d-dimens...
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02/14/2018
Optimal Transport: Fast Probabilistic Approximation with Exact Solvers
We propose a simple subsampling scheme for fast randomized approximate c...
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11/11/2017
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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04/17/2012
Statistical Multiresolution Estimation for Variational Imaging: With an Application in Poisson-Biophotonics
In this paper we present a spatially-adaptive method for image reconstru...
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01/23/2011
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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08/06/2010
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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01/18/2008