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Dario Prandi

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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

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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⟩
Journal articles hal-01902740v5

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⟩
Journal articles hal-04491489v1
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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⟩
Journal articles hal-04227569v1
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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
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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
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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⟩
Journal articles hal-02792435v1
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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⟩
Journal articles hal-02020844v1
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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⟩
Journal articles hal-02316989v1
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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
Journal of Neurophysiology, 2020, 123 (5), pp.1606-1618. ⟨10.1152/jn.00488.2019⟩
Journal articles hal-02199928v1
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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⟩
Journal articles hal-02075914v1
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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
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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
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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
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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⟩
Journal articles hal-01139521v2
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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⟩
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
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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
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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

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⟩
Conference papers hal-03894606v1
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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⟩
Conference papers hal-03719161v1
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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⟩
Conference papers hal-03160486v1
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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
Conference papers hal-03020099v1
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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⟩
Conference papers hal-03020089v1
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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⟩
Conference papers hal-02066714v1
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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⟩
Conference papers hal-02394678v1
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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⟩
Conference papers hal-01721718v1
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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
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Complexity in control-affine systems

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

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⟩
Book sections hal-04270320v1

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⟩
Book sections hal-04492513v1

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⟩
Book sections hal-04492537v1

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⟩
Book sections hal-04492519v1

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⟩
Book sections hal-04492531v1

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⟩
Book sections hal-04492528v1

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⟩
Book sections hal-04489517v1

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⟩
Book sections hal-04492506v1