Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Advisor & Referee "Munk, Axel Prof. Dr."
Now showing items 21-40 of 45
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Wasserstein Distance on Finite Spaces: Statistical Inference and Algorithms
(2017-12-07)Wasserstein distances or, more generally, distances that quantify the optimal transport between probability measures on metric spaces have long been established as an important tool in probability theory. More recently, ... -
Estimating rigid motion in sparse sequential dynamic imaging: with application to nanoscale fluorescence microscopy
(2017-04-05)In this work, we deal with sequences of pixel images (frames) which are noisy shifted, rotated, and scaled versions of some unknown image f. Moreover, those frames are sparse in the sense that they do not show the whole ... -
Multiscale Change-point Segmentation: Beyond Step Functions
(2017-03-08)Many multiscale segmentation methods have been proven to work successfully for detecting multiple change-points, mainly because they provide faithful statistical statements, while at the same time allowing for efficient ... -
Equivariant Functional Shape Analysis in SO(3) with Applications to Gait Analysis
(2016-11-04)In gait analysis of the knee joint the data is given by curves in the group of $3\times3$ rotation matrices. We introduce $\mathcal{S}$-equivariant functional models (viz., Gaussian perturbations of a center curve) and ... -
Partial Least Squares for Serially Dependent Data
(2016-09-12)In the first paper we consider the partial least squares algorithm for dependent data and study the consequences of ignoring the dependence both theoretically and numerically. Ignoring nonstationary dependence structures ... -
Variational Estimators in Statistical Multiscale Analysis
(2016-05-24)In recent years, a novel type of multiscale variational statistical approaches, based on so-called multiscale statistics, have received increasing popularity in various applications, such as signal recovery, imaging and ... -
A Bayesian approach to initial model inference in cryo-electron microscopy
(2016-03-18)Single-particle cryo-electron microscopy (cryo-EM) is widely used to study the structure of macromolecular assemblies. Tens of thousands of noisy two-dimensional images of the macromolecular assembly viewed from different ... -
Fourier and Variational Based Approaches for Fingerprint Segmentation
(2015-05-22)Fingerprint recognition plays an important role in many commercial applications and is used by millions of people every day, e.g. for unlocking mobile phones. Fingerprint image segmentation is typically the first processing ... -
Simultaneous Confidence Statements about the Diffusion Coefficient of an Ito-Process with Application to Spot Volatility Estimation
(2014-07-28)In this PhD thesis, we address the problem of giving simultaneous confidence statements about local features of the diffusion of an Itô process. To this end, we construct a multiscale test based on weighted quadratic ... -
Statistical Multiscale Segmentation: Inference, Algorithms and Applications
(2014-03-31)This thesis mainly concerns change-point models with independent observations from an exponential family with constant mean in between change-points. An inferential scheme for estimation and confidence statements based ... -
Cryptanalysis of the Fuzzy Vault for Fingerprints: Vulnerabilities and Countermeasures
(2013-07-08)The fuzzy fingerprint vault is a popular approach to protect a fingerprint's minutiae as a building block of a security application. In this thesis simulations of several attack scenarios are conducted against implementations ... -
Ein semiparametrisches Verfahren zur Planung und Auswertung von Nichtunterlegenheitsstudien im Cox-Modell
(2012-03-06)In this dissertation we develop a statistical method for planning and evaluating non-inferiority trials for right censored time to event data in the gold standard design. In clinical trials ... -
Change point estimation in noisy Hammerstein integral equations
(2011-01-17)We consider the inverse regression model Y = Hf (X) + ε for several classes of non- linear Hammerstein integral operators H. In particular identifiability depending on the integral kernel ... -
Fingerprint Growth Prediction, Image Preprocessing and Multi-level Judgment Aggregation
(2011-01-06)Finger growth is studied in the first part of the thesis and a method for growth prediction is presented. The effectiveness of the method is validated in several tests. Fingerprint image ... -
Nonparametric Methods in Spot Volatility Estimation
(2011-01-06)This work is devoted to study a model, where we observe a stochastic process X under additional measurement noise. The main objective is to estimate a ``fluctuation measure``, called the volatility/intermittency of ... -
Statistische Multiresolutions-Schätzer in linearen inversen Problemen - Grundlagen und algorithmische Aspekte
(2010-12-15)Applications of statistical multiresolution techniques in regression problems have attracted a lot of attention recently. The main reason for this is that the resulting statistical ... -
Maximum Likelihood Theory for Retention of Effect Non-Inferiority Trials
(2010-05-28)This work deals with the methodical issues of non-inferiority trials whose aim is to demonstrate that a new test treatment is non-inferior to a well-established reference treatment. In the ... -
Multivariates nichtparametrisches Behrens-Fisher-Problem mit Kovariablen
(2009-12-22)In this thesis the Behrens-Fisher-Problem is extended to the case of multivariate non-normal-distributed data and for the case of existing covariates. Point- and intervall-estimators ... -
Hierarchically linked extended features for fingerprint processing
(2009-03-23)This thesis discusses a novel approach for fingerprint feature extraction. A new fingerprint structure has been proposed as a basis for the extraction of extended features. These new features ... -
Identifying dependencies among delays
(2008-02-29)The treatment of disturbances in case of capacity restrictions in the Delay management problem has been theoretically and numerically examined. A new formulation of these secondary conditions for the macromodel of the ...