Geometric numerical integration of the assignment flow

DOI10.1088/1361-6420/ab2772zbMath1490.65139arXiv1810.06970OpenAlexW2990578246WikidataQ127739613 ScholiaQ127739613MaRDI QIDQ5000560

Stefania Petra, Christoph Schnörr, Fabrizio Savarino, Alexander Zeilmann

Publication date: 14 July 2021

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.06970

zbMATH Keywords

geometric integrationKrylov subspace approximationimage labelingassignment manifoldadaptive step size selectionassignment flow

Mathematics Subject Classification ID

Image analysis in multivariate analysis (62H35) Learning and adaptive systems in artificial intelligence (68T05) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Iterative numerical methods for linear systems (65F10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (9)

On the correspondence between replicator dynamics and assignment flows ⋮ Learning linear assignment flows for image labeling via exponential integration ⋮ On Multiscale Quasi-Interpolation of Scattered Scalar- and Manifold-Valued Functions ⋮ Learning linearized assignment flows for image labeling ⋮ Assignment Flows ⋮ Learning adaptive regularization for image labeling using geometric assignment ⋮ Assignment flow for order-constrained OCT segmentation ⋮ Continuous-domain assignment flows ⋮ Assignment flows for data labeling on graphs: convergence and stability

Uses Software

• Expokit
• DLMF
• Algorithm 919
• phipm
• mftoolbox

Cites Work

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• Expokit
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• Stable architectures for deep neural networks
• Image Labeling Based on Graphical Models Using Wasserstein Messages and Geometric Assignment
• Information Geometry
• Functions of Matrices
• Geometric Numerical Integration

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