Dario Prandi

Chargé de recherche CNRS
50
Documents
Affiliations actuelles
  • Laboratoire des signaux et systèmes (L2S)
  • Centre National de la Recherche Scientifique (CNRS)
  • Université Paris-Saclay
Identifiants chercheurs
Contact

Présentation

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

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Publications

Image document

Weyl’s law for singular Riemannian manifolds

Yacine Chitour , Dario Prandi , Luca Rizzi
Journal de Mathématiques Pures et Appliquées, 2024, 181, pp.113-151. ⟨10.1016/j.matpur.2023.10.004⟩
Article dans une revue hal-01902740 v5
Image document

Reproducibility via neural fields of visual illusions induced by localized stimuli

Cyprien Tamekue , Dario Prandi , Yacine Chitour
Discrete and Continuous Dynamical Systems - Series B, 2024, ⟨10.3934/dcdsb.2024135⟩
Article dans une revue hal-04401903 v2
Image document

A mathematical model of the visual MacKay effect

Cyprien Tamekue , Dario Prandi , Yacine Chitour
SIAM Journal on Applied Dynamical Systems, 2024, 23 (3), pp.2138-2178. ⟨10.1137/23M1616686⟩
Article dans une revue hal-04283964 v3
Image document

Beyond $\ell$1 sparse coding in V1

Ilias Rentzeperis , Luca Calatroni , Laurent Perrinet , Dario Prandi
PLoS Computational Biology, 2023, 19 (9), pp.e1011459. ⟨10.1371/journal.pcbi.1011459⟩
Article dans une revue hal-04227569 v1

Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group

Biagio Cassano , Valentina Franceschi , David Krejčiřík , Dario Prandi
Communications in Partial Differential Equations, 2023, 48 (5), pp.711-752. ⟨10.1080/03605302.2023.2191326⟩
Article dans une revue hal-04491489 v1
Image document

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

Paolo Mason , Yacine Chitour , Dario Prandi
SIAM Journal on Control and Optimization, 2021, 59 (4), pp.3040-3067. ⟨10.1137/20M1343427⟩
Article dans une revue hal-02792435 v1
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⟩
Article dans une revue hal-02531537 v2
Image document

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⟩
Article dans une revue hal-03126841 v1
Image document

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

Marcelo Bertalmio , Luca Calatroni , Valentina Franceschi , Benedetta Franceschiello , Dario Prandi
Journal of Mathematical Imaging and Vision, 2020, ⟨10.1007/s10851-020-00960-x⟩
Article dans une revue hal-02316989 v1
Image document

Hardy-type inequalities for the Carnot-Carathéodory distance in the Heisenberg group

Valentina Franceschi , Dario Prandi
The Journal of Geometric Analysis, 2020, 31, pp.2455-2480. ⟨10.1007/s12220-020-00360-y⟩
Article dans une revue hal-02075914 v1
Image document

Point interactions for 3D sub-Laplacians

Riccardo Adami , Ugo Boscain , Valentina Franceschi , Dario Prandi
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2020, ⟨10.1016/j.anihpc.2020.10.007⟩
Article dans une revue hal-02020844 v1
Image document

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⟩
Article dans une revue hal-02199928 v1
Image document

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⟩
Article dans une revue hal-01981861 v1
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⟩
Article dans une revue hal-01221668 v3
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⟩
Article dans une revue hal-01362030 v2
Image document

Highly corrupted image inpainting through hypoelliptic diffusion

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

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⟩
Article dans une revue hal-00848792 v1
Image document

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
Journal of Mathematical Imaging and Vision, 2016, pp.1-17. ⟨10.1007/s10851-016-0669-1⟩
Article dans une revue hal-01383846 v1

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⟩
Article dans une revue hal-01019955 v1

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⟩
Article dans une revue hal-00909748 v1
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⟩
Article dans une revue hal-00817300 v2
Image document

Homogeneous observer for a low-dimensional neural fields model of cortical activity

Adel Malik Annabi , Ludovic Sacchelli , Jean-Baptiste Pomet , Dario Prandi
CDC 2024 - 63rd IEEE Conference on Decision and Control, Dec 2024, Milan (Italie), Italy
Communication dans un congrès hal-04843294 v1

Cortical origins of MacKay-type visual illusions: A case for the non-linearity

Cyprien Tamekue , Dario Prandi , Yacine Chitour
22nd World Congress of the International Federation of Automatic Control (IFAC 2023), Jul 2023, Yokohama, Japan. pp.476-481, ⟨10.1016/j.ifacol.2023.10.1613⟩
Communication dans un congrès hal-03894606 v1
Image document

Reproducing Sensory Induced Hallucinations via Neural Fields

Cyprien Tamekue , Dario Prandi , Yacine Chitour
29th IEEE International Conference on Image Processing, ICIP 2022, Oct 2022, Bordeaux, France. ⟨10.1109/ICIP46576.2022.9898022⟩
Communication dans un congrès hal-03719161 v1
Image document

An auditory cortex model for sound processing

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

A bio-inspired geometric model for sound reconstruction

Ugo Boscain , Dario Prandi , Ludovic Sacchelli , Giuseppina Turco
IFAC 2020 - 21st IFAC World Congress, Jul 2020, Berlin / Virtual, Germany
Communication dans un congrès hal-03020099 v1
Image document

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

Yacine Chitour , Paolo Mason , Dario Prandi
IFAC 2020 - 21st IFAC World Congress, Jul 2020, Berlin (virtual), Germany. pp.1709-1714, ⟨10.1016/j.ifacol.2020.12.2246⟩
Communication dans un congrès hal-03020089 v1
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
SSVM 2019: Scale Space and Variational Methods in Computer Vision, Jun 2019, Hofgeismar, Germany. ⟨10.1007/978-3-030-22368-7_37⟩
Communication dans un congrès hal-02066714 v1
Image document

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

Ugo Boscain , Roman Chertovskih , Jean-Paul Gauthier , Dario Prandi , Alexey Remizov
SMAI 2017 - 8e Biennale Française des Mathématiques Appliquées et Industrielles, Jun 2017, La Tremblade, France. pp.37 - 53, ⟨10.1051/proc/201864037⟩
Communication dans un congrès hal-01721718 v1
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. ⟨10.1109/icca.2018.8444289⟩
Communication dans un congrès hal-02394678 v1
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
Communication dans un congrès hal-01721740 v1

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
Communication dans un congrès hal-01103516 v1
Image document

Complexity in control-affine systems

Frédéric Jean , Dario Prandi
NETCO 2014, 2014, Tours, France
Document associé à des manifestations scientifiques hal-01024628 v1

MacKay-Type Visual Illusions via Neural Fields

Cyprien Tamekue , Dario Prandi , Yacine Chitour
Nielsen, F.; Barbaresco, F. Geometric Science of Information. GSI 2023, 14072, Springer Nature Switzerland, pp.501-508, 2023, Lecture Notes in Computer Science, ⟨10.1007/978-3-031-38299-4_52⟩
Chapitre d'ouvrage hal-04270320 v1

Pattern Recognition

Dario Prandi , Jean-Paul Gauthier
A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition, Springer International Publishing, pp.53-76, 2018, SpringerBriefs in Mathematics, ⟨10.1007/978-3-319-78482-3_5⟩
Chapitre d'ouvrage hal-04489517 v1

Almost-Periodic Interpolation and Approximation

Dario Prandi , Jean-Paul Gauthier
A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition, Springer International Publishing, pp.43-52, 2018, SpringerBriefs in Mathematics, ⟨10.1007/978-3-319-78482-3_4⟩
Chapitre d'ouvrage hal-04492528 v1

Lifts

Dario Prandi , Jean-Paul Gauthier
A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition, Springer International Publishing, pp.35-42, 2018, SpringerBriefs in Mathematics, ⟨10.1007/978-3-319-78482-3_3⟩
Chapitre d'ouvrage hal-04492531 v1

Image Reconstruction

Dario Prandi , Jean-Paul Gauthier
A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition, Springer International Publishing, pp.77-87, 2018, SpringerBriefs in Mathematics, ⟨10.1007/978-3-319-78482-3_6⟩
Chapitre d'ouvrage hal-04492506 v1

Introduction

Dario Prandi , Jean-Paul Gauthier
A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition, Springer International Publishing, pp.1-12, 2018, SpringerBriefs in Mathematics, ⟨10.1007/978-3-319-78482-3_1⟩
Chapitre d'ouvrage hal-04492513 v1

Applications

Dario Prandi , Jean-Paul Gauthier
A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition, Springer International Publishing, pp.89-101, 2018, SpringerBriefs in Mathematics, ⟨10.1007/978-3-319-78482-3_7⟩
Chapitre d'ouvrage hal-04492537 v1

Preliminaries

Dario Prandi , Jean-Paul Gauthier
A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition, Springer International Publishing, pp.13-34, 2018, SpringerBriefs in Mathematics, ⟨10.1007/978-3-319-78482-3_2⟩
Chapitre d'ouvrage hal-04492519 v1