b'Stefan Sommer'

research

∙ 06/17/2022

ICLR 2022 Challenge for Computational Geometry and Topology: Design and Results

This paper presents the computational challenge on differential geometry...

Adele Myers, et al. ∙

research

∙ 12/01/2021

Diffusion Mean Estimation on the Diagonal of Product Manifolds

Computing sample means on Riemannian manifolds is typically computationa...

Mathias Højgaard Jensen, et al. ∙

research

∙ 12/01/2021

Bridge Simulation on Lie Groups and Homogeneous Spaces with Application to Parameter Estimation

We present three simulation schemes for simulating Brownian bridges on c...

Mathias Højgaard Jensen, et al. ∙

research

∙ 10/29/2021

Most probable paths for anisotropic Brownian motions on manifolds

Brownian motion on manifolds with non-trivial diffusion coefficient can ...

Erlend Grong, et al. ∙

research

∙ 10/07/2021

Moment evolution equations and moment matching for stochastic image EPDiff

Models of stochastic image deformation allow study of time-continuous st...

Alexander Christgau, et al. ∙

research

∙ 06/07/2021

Bridge Simulation and Metric Estimation on Lie Groups

We present a simulation scheme for simulating Brownian bridges on comple...

Mathias Højgaard Jensen, et al. ∙

research

∙ 05/26/2021

Simulation of Conditioned Semimartingales on Riemannian Manifolds

We present a scheme for simulating conditioned semimartingales taking va...

Mathias Højgaard Jensen, et al. ∙

research

∙ 05/25/2021

Diffusion Means in Geometric Spaces

We introduce a location statistic for distributions on non-linear geomet...

Pernille Hansen, et al. ∙

research

∙ 03/16/2021

Prototyping Autonomous Robotic Networks on Different Layers of RAMI 4.0 with Digital Twins

In this decade, the amount of (industrial) Internet of Things devices wi...

Alexander Barbie, et al. ∙

research

∙ 03/15/2021

Developing an Underwater Network of Ocean Observation Systems with Digital Twin Prototypes – A Field Report from the Baltic Sea

During the research cruise AL547 with RV ALKOR (October 20-31, 2020), a ...

Alexander Barbie, et al. ∙

research

∙ 02/28/2021

Diffusion Means and Heat Kernel on Manifolds

We introduce diffusion means as location statistics on manifold data spa...

Pernille Hansen, et al. ∙

research

∙ 02/10/2021

Currents and K-functions for Fiber Point Processes

Analysis of images of sets of fibers such as myelin sheaths or skeletal ...

Pernille EH. Hansen, et al. ∙

research

∙ 01/30/2021

Atlas Generative Models and Geodesic Interpolation

Generative neural networks have a well recognized ability to estimate un...

Jakob Stolberg-Larsen, et al. ∙

research

∙ 10/15/2020

Geometry of Sample Spaces

In statistics, independent, identically distributed random samples do no...

Philipp Harms, et al. ∙

research

∙ 02/03/2020

Diffusion bridges for stochastic Hamiltonian systems with applications to shape analysis

Stochastically evolving geometric systems are studied in geometric mecha...

Alexis Arnaudon, et al. ∙

research

∙ 09/13/2019

Horizontal Flows and Manifold Stochastics in Geometric Deep Learning

We introduce two constructions in geometric deep learning for 1) transpo...

Stefan Sommer, et al. ∙

research

∙ 12/17/2018

Generalizations of Ripley's K-function with Application to Space Curves

The intensity function and Ripley's K-function have been used extensivel...

Jon Sporring, et al. ∙

research

∙ 12/13/2018

Stochastic Image Deformation in Frequency Domain and Parameter Estimation using Moment Evolutions

Modelling deformation of anatomical objects observed in medical images c...

Line Kuhnel, et al. ∙

research

∙ 11/09/2018

An Average of the Human Ear Canal: Recovering Acoustical Properties via Shape Analysis

Humans are highly dependent on the ability to process audio in order to ...

Sune Darkner, et al. ∙

research

∙ 10/03/2018

PADDIT: Probabilistic Augmentation of Data using Diffeomorphic Image Transformation

For proper generalization performance of convolutional neural networks (...

Mauricio Orbes-Arteaga, et al. ∙

research

∙ 05/19/2018

Latent Space Non-Linear Statistics

Given data, deep generative models, such as variational autoencoders (VA...

Line Kuhnel, et al. ∙

research

∙ 05/15/2018

String Methods for Stochastic Image and Shape Matching

Matching of images and analysis of shape differences is traditionally pu...

Alexis Arnaudon, et al. ∙

research

∙ 01/31/2018

An Infinitesimal Probabilistic Model for Principal Component Analysis of Manifold Valued Data

We provide a probabilistic and infinitesimal view of how the principal c...

Stefan Sommer, et al. ∙

research

∙ 12/22/2017

Differential geometry and stochastic dynamics with deep learning numerics

In this paper, we demonstrate how deterministic and stochastic dynamics ...

Line Kuhnel, et al. ∙

research

∙ 11/20/2017

Stochastic metamorphosis with template uncertainties

In this paper, we investigate two stochastic perturbations of the metamo...

Alexis Arnaudon, et al. ∙

research

∙ 06/15/2017

Computational Anatomy in Theano

To model deformation of anatomical shapes, non-linear statistics are req...

Line Kuhnel, et al. ∙

research

∙ 05/31/2017

Bridge Simulation and Metric Estimation on Landmark Manifolds

We present an inference algorithm and connected Monte Carlo based estima...

Stefan Sommer, et al. ∙

research

∙ 03/29/2017

A Geometric Framework for Stochastic Shape Analysis

We introduce a stochastic model of diffeomorphisms, whose action on a va...

Alexis Arnaudon, et al. ∙

research

∙ 03/01/2017

Stochastic Development Regression on Non-Linear Manifolds

We introduce a regression model for data on non-linear manifolds. The mo...

Line Kuhnel, et al. ∙

research

∙ 12/16/2016

A Stochastic Large Deformation Model for Computational Anatomy

In the study of shapes of human organs using computational anatomy, vari...

Alexis Arnaudon, et al. ∙

research

∙ 04/18/2016

Most Likely Separation of Intensity and Warping Effects in Image Registration

This paper introduces a class of mixed-effects models for joint modeling...

Line Kuhnel, et al. ∙

research

∙ 12/23/2014

Symmetry in Image Registration and Deformation Modeling

We survey the role of symmetry in diffeomorphic registration of landmark...

Stefan Sommer, et al. ∙

research

∙ 12/23/2014

Higher-order Spatial Accuracy in Diffeomorphic Image Registration

We discretize a cost functional for image registration problems by deriv...

Henry O. Jacobs, et al. ∙

research

∙ 12/14/2011

Higher-Order Momentum Distributions and Locally Affine LDDMM Registration

To achieve sparse parametrizations that allows intuitive analysis, we ai...

Stefan Sommer, et al. ∙

Stefan Sommer

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