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galerkin-conditional-gradient

This module solves a PDE constrained minimisation problem with TV-regularization, using the method described in the paper "Conditional gradient for total variation regularization with PDE constraints: a graph cuts approach"

https://github.com/gcristinelli/galerkin-conditional-gradient

Science Score: 67.0%

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Keywords

conditional-gradients graph-cuts
Last synced: 6 months ago · JSON representation ·

Repository

This module solves a PDE constrained minimisation problem with TV-regularization, using the method described in the paper "Conditional gradient for total variation regularization with PDE constraints: a graph cuts approach"

Basic Info
  • Host: GitHub
  • Owner: gcristinelli
  • Language: Python
  • Default Branch: main
  • Homepage:
  • Size: 37.1 KB
Statistics
  • Stars: 1
  • Watchers: 1
  • Forks: 0
  • Open Issues: 0
  • Releases: 2
Topics
conditional-gradients graph-cuts
Created over 2 years ago · Last pushed over 1 year ago
Metadata Files
Readme Citation

README.md

Galerkin-Conditional-Gradient

DOI

Authors: Giacomo Cristinelli, José A. Iglesias, Daniel Walter

This module solves the control problem with Total Variation regularization

$$\min{u\in BV(\Omega)} \frac{1}{2} |Ku-yo|^2 + \alpha TV(u,\Omega)$$

where K is the control-to-state operator associated with a Poisson-type PDE.

It employs the method described in the paper "Conditional gradients for total variation regularization with PDE constraints: a graph cuts approach". Preprint available at: https://arxiv.org/abs/2310.19777

Important libraries:

FEniCS (Dolfin) --version 2019.1.0 (https://fenicsproject.org/)

Maxflow (http://pmneila.github.io/PyMaxflow/maxflow.html)

Owner

  • Name: Giacomo Cristinelli
  • Login: gcristinelli
  • Kind: user
  • Location: Enschede, NL
  • Company: University of Twente

I am a Ph.D. candidate in Mathematical Shape Analysis at the University of Twente.

Citation (CITATION.cff) 

cff-version: 1.2.0
message: "If you use this software, please cite it as below."
authors:
- family-names: "Cristinelli"
  given-names: "Giacomo"
  orcid: "https://orcid.org/0009-0001-1554-6263"
- family-names: "Iglesias"
  given-names: "José A."
  orcid: "https://orcid.org/0000-0002-7520-7802"
- family-names: "Walter"
  given-names: "Daniel"
title: "Conditional gradient for total variation regularization with PDE constraints: a graph cuts approach"
version: 0.1.0
doi: 10.5281/zenodo.10048385
date-released: 2023-10-27
url: "https://doi.org/10.5281/zenodo.10048385"

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