activity
20172021
most citedGeometric Numerical Integration of the Assignment Flow

26 citations · 37 across the 4 of their papers we have counts for

collaborators

5 papers

math.DS2021★ 2 cited

On the Geometric Mechanics of Assignment Flows for Metric Data Labeling

Fabrizio Savarino, Peter Albers, Christoph Schnörr

Metric data labeling refers to the task of assigning one of multiple predefined labels to every given datapoint based on the metric distance between label and data. This assignment…

math.DS2019

Continuous-Domain Assignment Flows

Fabrizio Savarino, Christoph Schnörr

Assignment flows denote a class of dynamical models for contextual data labeling (classification) on graphs. We derive a novel parametrization of assignment flows that reveals how…

math.OC2019

Learning Adaptive Regularization for Image Labeling Using Geometric Assignment

Ruben Hühnerbein, Fabrizio Savarino, Stefania Petra +1

We study the inverse problem of model parameter learning for pixelwise image labeling, using the linear assignment flow and training data with ground truth. This is accomplished by…

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…

cs.LG2017★ 9 cited

Image Labeling Based on Graphical Models Using Wasserstein Messages and Geometric Assignment

Ruben Hühnerbein, Fabrizio Savarino, Freddie Åström +1

We introduce a novel approach to Maximum A Posteriori inference based on discrete graphical models. By utilizing local Wasserstein distances for coupling assignment measures across…