Maurizio Falcone

Pubblicazioni

Titolo Pubblicato in Anno
A New Algorithm for the LQR Problem with Partially Unknown Dynamics Large-Scale Scientific Computing 2022
Convergence results for an averaged LQR problem with applications to reinforcement learning MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS 2021
A new mathematical model for traveling sand dunes: analysis and approximation APPLIED NUMERICAL MATHEMATICS 2020
Multidimensional smoothness indicators for first-order Hamilton-Jacobi equations JOURNAL OF COMPUTATIONAL PHYSICS 2020
Convergence of adaptive filtered schemes for first order evolutionary Hamilton–Jacobi equations NUMERISCHE MATHEMATIK 2020
A high-order scheme for image segmentation via a modified level-set method SIAM JOURNAL ON IMAGING SCIENCES 2020
A comparative analysis of denoising algorithms for extragalactic imaging surveys ASTRONOMY & ASTROPHYSICS 2020
A tree structure algorithm for optimal control problems with state constraints RENDICONTI DI MATEMATICA E DELLE SUE APPLICAZIONI 2020
Adaptive filtered schemes for first order Hamilton-Jacobi equations Numerical Mathematics and Advanced Applications ENUMATH 2017 2019
Numerical Techniques for Level Set Models: an Image Segmentation Perspective Level Set Method in Medical Imaging Segmentation 2019
High-order approximation of the finite horizon control problem via a tree structure algorithm IFAC-PapersOnLine 2019
On the Segmentation of Astronomical Images via Level-Set Methods Springer INdAM Series 2019
An efficient DP algorithm on a tree-structure for finite horizon optimal control problems SIAM JOURNAL ON SCIENTIFIC COMPUTING 2019
Coupling MPC and HJB for the computation of POD-based feedback laws Lecture Notes in Computational Science and Engineering 2019
A HJB-POD approach to the control of the level set equation Modeling, Simulation and Applications 2017
Error analysis for pod approximations of infinite horizon problems via the dynamic programming approach SIAM JOURNAL ON CONTROL AND OPTIMIZATION 2017
Preface: DGAA Special Issue on Numerical Methods for Dynamic Games DGAA Special Issue on Numerical Methods for Dynamic Games 2017
An efficient filtered scheme for some first order time-dependent Hamilton-Jacobi equations SIAM JOURNAL ON SCIENTIFIC COMPUTING 2016
Analysis and approximation of some shape-from-shading models for non-Lambertian surfaces JOURNAL OF MATHEMATICAL IMAGING AND VISION 2016
A comparison of non-Lambertian models for the shape-from-shading problem Perspectives in Shape Analysis 2016

ERC

  • PE1_18
  • PE1_20
  • PE1_21

KET

  • Big data & computing

Interessi di ricerca

My research activity is focused on the analysis and approximation of mathematical models in the following areas:

Optimal control and differential games - Computer vision - Image processing - Granular matter - Reinforcement Learning

In particular, I am working in Numerical Analysis to develop and analyze new schemes for evolutive partial differential equations. 

Keywords

semi-lagrangian schemes
First order hyperbolic equations
Optimal control theory
Differential games
Front propagation
Shape-from-shading
Granular matter
Image processing
deep reinforcement learning

Progetti di Ricerca

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