activity
20182022
most citedGeometric Numerical Integration of the Assignment Flow

26 citations · 41 across the 5 of their papers we have counts for

collaborators

5 papers

stat.ML2022

Self-Certifying Classification by Linearized Deep Assignment

Bastian Boll, Alexander Zeilmann, Stefania Petra +1

We propose a novel class of deep stochastic predictors for classifying metric data on graphs within the PAC-Bayes risk certification paradigm. Classifiers are realized as linearly…

cs.LG2021

Learning Linearized Assignment Flows for Image Labeling

Alexander Zeilmann, Stefania Petra, Christoph Schnörr

We introduce a novel algorithm for estimating optimal parameters of linearized assignment flows for image labeling. An exact formula is derived for the parameter gradient of any lo…

math.DS2020★ 14 cited

Assignment Flows for Data Labeling on Graphs: Convergence and Stability

Artjom Zern, Alexander Zeilmann, Christoph Schnörr

The assignment flow recently introduced in the J. Math. Imaging and Vision 58/2 (2017), constitutes a high-dimensional dynamical system that evolves on an elementary statistical ma…

cs.CV2019★ 1 cited

End-to-End Learned Random Walker for Seeded Image Segmentation

Lorenzo Cerrone, Alexander Zeilmann, Fred A. Hamprecht

We present an end-to-end learned algorithm for seeded segmentation. Our method is based on the Random Walker algorithm, where we predict the edge weights of the underlying graph us…

math.NA2018★ 26 cited

Geometric Numerical Integration of the Assignment Flow

Alexander Zeilmann, Fabrizio Savarino, Stefania Petra +1

The assignment flow is a smooth dynamical system that evolves on an elementary statistical manifold and performs contextual data labeling on a graph. We derive and introduce the li…