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Dario Prandi

31
Documents

Presentation

Dario Prandi was born in Carpi (MO), Italy. He obtained his Bachelor degree in Mathematics at Universitá degli Studi di Modena e Reggio Emilia in 2008, and his Master's degree in Mathematics at Universitá degli Studi di Padova in 2010. In 2013 he received his PhD in Applied Mathematics from École Polytechnique. He is Chargé de Recherche CNRS since 2016, in the L2S laboratory (Laboratoire des Signaux et des Systèmes) at CentraleSupélec, Université Paris-Saclay. Hi research interests include control theory, with a penchant for geometric and optimal control, subriemannian and applied differential geometry, signal processing, and applications to neurosciences and biomimetic image processing.

Publications

A cortical-inspired sub-Riemannian model for Poggendorff-type visual illusions

Emre Baspinar , Luca Calatroni , Valentina Franceschi , Dario Prandi
Journal of Imaging, 2021, ⟨10.3390/jimaging7030041⟩
Journal articles hal-03126841v1

Worst Exponential Decay Rate for Degenerate Gradient flows subject to persistent excitation

Paolo Mason , Yacine Chitour , Dario Prandi
SIAM Journal on Control and Optimization, In press, 59 (4), pp.3040-3067. ⟨10.1137/20M1343427⟩
Journal articles hal-02792435v1
Image document

A bio-inspired geometric model for sound reconstruction

Ugo Boscain , Dario Prandi , Ludovic Sacchelli , Giuseppina Turco
Journal of Mathematical Neuroscience, 2021, 11 (1), pp.2. ⟨10.1186/s13408-020-00099-4⟩
Journal articles hal-02531537v2

Point interactions for 3D sub-Laplacians

Riccardo Adami , Ugo Boscain , Valentina Franceschi , Dario Prandi
Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, 2020, ⟨10.1016/j.anihpc.2020.10.007⟩
Journal articles hal-02020844v1

Visual illusions via neural dynamics: Wilson-Cowan-type models and the efficient representation principle

Marcelo Bertalmio , Luca Calatroni , Valentina Franceschi , Benedetta Franceschiello , Alexander Gomez-Villa et al.
Journal of Neurophysiology, 2020, 123 (5), pp.1606-1618. ⟨10.1152/jn.00488.2019⟩
Journal articles hal-02199928v1
Image document

Cortical-inspired Wilson-Cowan-type equations for orientation-dependent contrast perception modelling

Marcelo Bertalmio , Luca Calatroni , Valentina Franceschi , Benedetta Franceschiello , Dario Prandi et al.
Journal of Mathematical Imaging and Vision, 2020, ⟨10.1007/s10851-020-00960-x⟩
Journal articles hal-02316989v1

Hardy-type inequalities for the Carnot-Carath\'eodory distance in the Heisenberg group

Valentina Franceschi , Dario Prandi
The Journal of Geometric Analysis, 2020, ⟨10.1007/s12220-020-00360-y⟩
Journal articles hal-02075914v1
Image document

A sub-Riemannian Santaló formula with applications to isoperimetric inequalities and first Dirichlet eigenvalue of hypoelliptic operators

Dario Prandi , Luca Rizzi , Marcello Seri
Journal of Differential Geometry, 2019, 111 (2), pp.339-379. ⟨10.4310/jdg/1549422105⟩
Journal articles hal-01221668v3

On the Essential Self-Adjointness of Singular Sub-Laplacians

Valentina Franceschi , Dario Prandi , Luca Rizzi
Potential Analysis, 2019, 53, pp.89-112. ⟨10.1007/s11118-018-09760-w⟩
Journal articles hal-01981861v1
Image document

Highly corrupted image inpainting through hypoelliptic diffusion

Ugo Boscain , Roman Chertovskih , Jean-Paul Gauthier , Dario Prandi , Alexey Remizov et al.
Journal of Mathematical Imaging and Vision, 2018, pp.1-15. ⟨10.1007/s10851-018-0810-4⟩
Journal articles hal-01139521v2
Image document

Quantum confinement on non-complete Riemannian manifolds

Dario Prandi , Marcello Seri , Luca Rizzi
Journal of Spectral Theory, 2018, 8 (4), pp.1221-1280. ⟨10.4171/JST/226⟩
Journal articles hal-01362030v2

Fourier Descriptors Based on the Structure of the Human Primary Visual Cortex with Applications to Object Recognition

Amine Bohi , Dario Prandi , Vincente Guis , Frédéric Bouchara , Jean-Paul Gauthier et al.
Journal of Mathematical Imaging and Vision, 2016, pp.1-17. ⟨10.1007/s10851-016-0669-1⟩
Journal articles hal-01383846v1

Spectral analysis and the Aharonov-Bohm effect on certain almost-Riemannian manifolds

Ugo Boscain , Dario Prandi , Marcello Seri
Communications in Partial Differential Equations, 2016, 41 (1), pp.32-50. ⟨10.1080/03605302.2015.1095766⟩
Journal articles hal-01019955v1

Self-adjoint extensions and stochastic completeness of the Laplace–Beltrami operator on conic and anticonic surfaces

Ugo Boscain , Dario Prandi
Journal of Differential Equations, 2016, 260 (4), pp.3234-3269. ⟨10.1016/j.jde.2015.10.011⟩
Journal articles hal-00848792v1

Complexity of control-affine motion planning

Frédéric Jean , Dario Prandi
SIAM Journal on Control and Optimization, 2015, 53 (2), pp.816-844. ⟨10.1137/130950793⟩
Journal articles hal-00909748v1
Image document

Hölder equivalence of the value function for control-affine systems

Dario Prandi
ESAIM: Control, Optimisation and Calculus of Variations, 2014, 20 (4), pp.1224 - 1248. ⟨10.1051/cocv/2014014⟩
Journal articles hal-00817300v2
Image document

Reproducing Sensory Induced Hallucinations via Neural Fields

Cyprien Tamekue , Dario Prandi , Yacine Chitour
International Conference on Image Processing, Oct 2022, Bordeaux, France. ⟨10.1109/ICIP46576.2022.9898022⟩
Conference papers hal-03719161v1
Image document

An auditory cortex model for sound processing

Rand Asswad , Ugo Boscain , Giuseppina Turco , Dario Prandi , Ludovic Sacchelli et al.
GSI 2021: Geometric Science of Information, Jul 2021, Paris, France. ⟨10.1007/978-3-030-80209-7_7⟩
Conference papers hal-03160486v1
Image document

On the decay rate for degenerate gradient flows subject to persistent excitation

Yacine Chitour , Paolo Mason , Dario Prandi
IFAC World Congress 2020, Germany, Jul 2020, Berlin (virtual), Germany. pp.1709-1714
Conference papers hal-03020089v1
Image document

A bio-inspired geometric model for sound reconstruction

Ugo Boscain , Dario Prandi , Ludovic Sacchelli , Giuseppina Turco
IFAC World Conference 2020, Jul 2020, Berlin / Virtual, Germany
Conference papers hal-03020099v1
Image document

A cortical-inspired model for orientation-dependent contrast perception: a link with Wilson-Cowan equations

Marcelo Bertalmío , Luca Calatroni , Valentina Franceschi , Benedetta Franceschiello , Dario Prandi et al.
SSVM 2019: Scale Space and Variational Methods in Computer Vision, Jun 2019, Hofgeismar, Germany. ⟨10.1007/978-3-030-22368-7_37⟩
Conference papers hal-02066714v1
Image document

Image inpainting via a control-theoretical model of human vision

Ugo Boscain , Jean-Paul Gauthier , Dario Prandi
2018 IEEE 14th International Conference on Control and Automation (ICCA), Jun 2018, Anchorage, AK, United States
Conference papers hal-02394678v1
Image document

Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion

Ugo Boscain , Roman Chertovskih , Jean-Paul Gauthier , Dario Prandi , Alexey Remizov et al.
SMAI 2017 - 8e Biennale Française des Mathématiques Appliquées et Industrielles, Jun 2017, La Tremblade, France. pp.37 - 53, ⟨10.1051/proc/201864037⟩
Conference papers hal-01721718v1
Image document

Image processing in the semidiscrete group of rototranslations

Dario Prandi , Ugo Boscain , Jean-Paul Gauthier
GSI 2015: Geometric Science of Information, Dec 2015, Palaiseau, France
Conference papers hal-01721740v1

Image Reconstruction Via Non-Isotropic Diffusion in Dubins/Reed-Shepp- Like Control Systems

Ugo Boscain , Jean-Paul Gauthier , Dario Prandi , Alexey Remizov
53th IEEE Conference on Decision and Control, 2014, Los Angeles, United States
Conference papers hal-01103516v1
Image document

Complexity in control-affine systems

Frédéric Jean , Dario Prandi
NETCO 2014, 2014, Tours, France
Documents associated with scientific events hal-01024628v1