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Marcelo Cardenas

Former Postdoctoral Researcher

Position:    Former Postdoctoral Reasearcher E-mail: cardenas -at- mia.uni-saarland.de (please replace anti-spam -at- by @)

• Partial differential equations
• Deep Learning
• Dynamics of multiagent systems

Conference Papers

1. M. Cárdenas, P. Peter, J. Weickert:
   Sparsification scale-spaces.
   To appear in M. Burger, J. Lellmann, J. Modersitzki (Eds.): Scale Space and Variational Methods. Lecture Notes in Computer Science, Springer, Cham, 2019.
   
   
2. L. Bergerhoff, M. Cárdenas, J. Weickert, M. Welk:
   Modelling Stable Backward Diffusion and Repulsive Swarms with Convex Energies and Range Constraints.
   In M. Pelillo, E. Hancock (Eds.): Energy Minimization Methods in Computer Vision and Pattern Recognition. Lecture Notes in Computer Science, Vol. 10746, 409-423, Springer, Cham, 2018.
   
   
3. G. M. Cardenas, J. Weickert, S. Schäffer:
   A linear scale-space theory for continuous nonlocal evolutions.
   In J.-F. Aujol, M. Nikolova, N. Papadakis (Eds.): Scale Space and Variational Methods in Computer Vision. Lecture Notes in Computer Science, Vol. 9087, 103-114, Springer, Berlin, 2015.

Journal Papers

4. M. Bildhauer, M. Cárdenas, M. Fuchs, J. Weickert:
   Existence theory for the EED inpainting problem.
   To appear in St. Petersburg Mathematical Journal.
   Invited Paper.
   Also available as arXiv:1906.04628v2 [math.AP], Sept. 2019.

Technical Reports

5. L. Bergerhoff, M. Cárdenas, J. Weickert, M. Welk:
   Stable Backward Diffusion Models that Minimise Convex Energies.
   arXiv:1903.03491 [math.NA], March 2019.

1. A linear scale-space theory for continuous nonlocal evolutions.
   Annual Meeting of the International Association of Applied Mathematics and Mechanics 2015, 23-27 March 2015, Lecce, Italy.

1. Funzioni speciali ed equazioni differenziali singolari.
   Bachelor's Thesis in Mathematics,
   University of Bologna, Bologna, Italy, October 2010.
   
   
2. A priori estimates for nonlinear fourth order Schroedinger type equations.
   Master's Thesis in Mathematics,
   University of Trieste, Trieste, Italy, March 2013.
   
   
3. Nonlocal Evolutions in Image Processing.
   PhD Thesis in Applied Mathematics,
   University of Saarland, Saarbruecken, Germany, July 2018.
   
   

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