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6 papers · 1 filter
Deep Shape Analysis on Abdominal Organs for Diabetes Prediction
Benjamin Gutierrez-Becker, Sergios Gatidis, Daniel Gutmann +3
Morphological analysis of organs based on images is a key task in medical imaging computing. Several approaches have been proposed for the quantitative assessment of morphological…
Bayesian Inference for Diffusion Processes: Using Higher-Order Approximations for Transition Densities
Susanne Pieschner, Christiane Fuchs
Modelling random dynamical systems in continuous time, diffusion processes are a powerful tool in many areas of science. Model parameters can be estimated from time-discretely obse…
Do voters choose rationally, irrationally or at random? Data and theory for proportional elections
Volker Hösel, Johannes Müller, Aurélien Tellier
Data of proportional elections show a striking feature: If the parties are ranked according to the number of their voters, the number of votes grows exponentially with the rank of…
Smoothing for signals with discontinuities using higher order Mumford-Shah models
Martin Storath, Lukas Kiefer, Andreas Weinmann
Minimizing the Mumford-Shah functional is frequently used for smoothing signals or time series with discontinuities. A significant limitation of the standard Mumford-Shah model is…
Allen-Cahn equation with strong irreversibility
Goro Akagi, Messoud Efendiev
This paper is concerned with a fully nonlinear variant of the Allen-Cahn equation with strong irreversibility, where each solution is constrained to be non-decreasing in time. Main…
Thinplate Splines on the Sphere
Rick K. Beatson, Wolfgang zu Castell
In this paper we give explicit closed forms for the semi-reproducing kernels associated with thinplate spline interpolation on the sphere. Polyharmonic or thinplate splines for ${\…