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Dario Prandi


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.


Journal articles11 documents

  • Marcelo Bertalmio, Luca Calatroni, Valentina Franceschi, Benedetta Franceschiello, Dario Prandi. Cortical-inspired Wilson-Cowan-type equations for orientation-dependent contrast perception modelling. Journal of Mathematical Imaging and Vision, Springer Verlag, 2020, ⟨10.1007/s10851-020-00960-x⟩. ⟨hal-02316989⟩
  • Valentina Franceschi, Dario Prandi. Hardy-type inequalities for the Carnot-Carath\'eodory distance in the Heisenberg group. The Journal of Geometric Analysis, Springer, 2020, ⟨10.1007/s12220-020-00360-y⟩. ⟨hal-02075914⟩
  • Marcelo Bertalmio, Luca Calatroni, Valentina Franceschi, Benedetta Franceschiello, Alexander Gomez-Villa, et al.. Visual illusions via neural dynamics: Wilson-Cowan-type models and the efficient representation principle. Journal of Neurophysiology, American Physiological Society, 2020, 123 (5), pp.1606-1618. ⟨10.1152/jn.00488.2019⟩. ⟨hal-02199928⟩
  • Valentina Franceschi, Dario Prandi, Luca Rizzi. On the Essential Self-Adjointness of Singular Sub-Laplacians. Potential Analysis, Springer Verlag, 2019, 53, pp.89-112. ⟨10.1007/s11118-018-09760-w⟩. ⟨hal-01981861⟩
  • Dario Prandi, Luca Rizzi, Marcello Seri. A sub-Riemannian Santaló formula with applications to isoperimetric inequalities and first Dirichlet eigenvalue of hypoelliptic operators. Journal of Differential Geometry, International Press, 2019, 111 (2), pp.339-379. ⟨10.4310/jdg/1549422105⟩. ⟨hal-01221668v3⟩
  • Ugo Boscain, Roman Chertovskih, Jean-Paul Gauthier, Dario Prandi, Alexey Remizov. Highly corrupted image inpainting through hypoelliptic diffusion. Journal of Mathematical Imaging and Vision, Springer Verlag, 2018, pp.1-15. ⟨10.1007/s10851-018-0810-4⟩. ⟨hal-01139521v2⟩
  • Amine Bohi, Dario Prandi, Vincente Guis, Frédéric Bouchara, Jean-Paul Gauthier. Fourier Descriptors Based on the Structure of the Human Primary Visual Cortex with Applications to Object Recognition. Journal of Mathematical Imaging and Vision, Springer Verlag, 2016, pp.1-17. ⟨10.1007/s10851-016-0669-1⟩. ⟨hal-01383846⟩
  • Ugo Boscain, Dario Prandi. Self-adjoint extensions and stochastic completeness of the Laplace–Beltrami operator on conic and anticonic surfaces. Journal of Differential Equations, Elsevier, 2016, 260 (4), pp.3234-3269. ⟨10.1016/j.jde.2015.10.011⟩. ⟨hal-00848792⟩
  • Ugo Boscain, Dario Prandi, Marcello Seri. Spectral analysis and the Aharonov-Bohm effect on certain almost-Riemannian manifolds. Communications in Partial Differential Equations, Taylor & Francis, 2016, 41 (1), pp.32-50. ⟨10.1080/03605302.2015.1095766⟩. ⟨hal-01019955⟩
  • Frédéric Jean, Dario Prandi. Complexity of control-affine motion planning. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2015, 53 (2), pp.816-844. ⟨10.1137/130950793⟩. ⟨hal-00909748⟩
  • Dario Prandi. Hölder equivalence of the value function for control-affine systems. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2014, 20 (4), pp.1224 - 1248. ⟨10.1051/cocv/2014014⟩. ⟨hal-00817300v2⟩

Conference papers7 documents

  • Ugo Boscain, Dario Prandi, Ludovic Sacchelli, Giuseppina Turco. A bio-inspired geometric model for sound reconstruction. IFAC World Conference 2020, Jul 2020, Berlin / Virtual, Germany. ⟨hal-03020099⟩
  • Yacine Chitour, Paolo Mason, Dario Prandi. On the decay rate for degenerate gradient flows subject to persistent excitation. IFAC World Congress 2020, Germany, Jul 2020, Berlin, Germany. ⟨hal-03020089⟩
  • Marcelo Bertalmío, Luca Calatroni, Valentina Franceschi, Benedetta Franceschiello, Dario Prandi. A cortical-inspired model for orientation-dependent contrast perception: a link with Wilson-Cowan equations. SSVM 2019: Scale Space and Variational Methods in Computer Vision, Jun 2019, Hofgeismar, Germany. ⟨10.1007/978-3-030-22368-7_37⟩. ⟨hal-02066714⟩
  • Ugo Boscain, Jean-Paul Gauthier, Dario Prandi. Image inpainting via a control-theoretical model of human vision. 2018 IEEE 14th International Conference on Control and Automation (ICCA), Jun 2018, Anchorage, AK, United States. ⟨hal-02394678⟩
  • Ugo Boscain, Roman Chertovskih, Jean-Paul Gauthier, Dario Prandi, Alexey Remizov. Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion. SMAI 2017 - 8e Biennale Française des Mathématiques Appliquées et Industrielles, Jun 2017, La Tremblade, France. pp.37 - 53, ⟨10.1051/proc/201864037⟩. ⟨hal-01721718⟩
  • Dario Prandi, Ugo Boscain, Jean-Paul Gauthier. Image processing in the semidiscrete group of rototranslations. GSI 2015: Geometric Science of Information, Dec 2015, Palaiseau, France. ⟨hal-01721740⟩
  • Ugo Boscain, Jean-Paul Gauthier, Dario Prandi, Alexey Remizov. Image Reconstruction Via Non-Isotropic Diffusion in Dubins/Reed-Shepp- Like Control Systems. 53th IEEE Conference on Decision and Control, 2014, Los Angeles, United States. ⟨hal-01103516⟩

Documents associated with scientific events1 document

  • Frédéric Jean, Dario Prandi. Complexity in control-affine systems. NETCO 2014, 2014, Tours, France. ⟨hal-01024628⟩

Books1 document

  • 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, 2018, SpringerBriefs in Mathematics, 978-3-319-78481-6. ⟨10.1007/978-3-319-78482-3⟩. ⟨hal-01681234⟩

Directions of work or proceedings1 document

  • Valentina Franceschi, Dario Prandi, Luca Rizzi. Recent results on the essential self-adjointness of sub-Laplacians, with some remarks on the presence of characteristic points. Séminaire de Théorie Spectrale et Géométrie, 33, pp.1-15, 2015, ⟨10.5802/tsg.311⟩. ⟨hal-02356491⟩

Preprints, Working Papers, ...5 documents

  • Ugo Boscain, Dario Prandi, Ludovic Sacchelli, Giuseppina Turco. A bio-inspired geometric model for sound reconstruction. 2020. ⟨hal-02531537v2⟩
  • Yacine Chitour, Paolo Mason, Dario Prandi. Worst Exponential Decay Rate for Degenerate Gradient flows subject to persistent excitation. 2020. ⟨hal-02792435⟩
  • Riccardo Adami, Ugo Boscain, Valentina Franceschi, Dario Prandi. Point interactions for 3D sub-Laplacians. 2019. ⟨hal-02020844⟩
  • Yacine Chitour, Dario Prandi, Luca Rizzi. Weyl’s law for singular Riemannian manifolds. 2019. ⟨hal-01902740v4⟩
  • Jean-Paul Gauthier, Dario Prandi. Generalized Fourier-Bessel operator and almost-periodic interpolation and approximation. 2016. ⟨hal-01483310⟩

Theses1 document

  • Dario Prandi. Geometry and analysis of control-affine systems: motion planning, heat and Schrödinger evolution. Optimization and Control [math.OC]. Ecole Polytechnique X, 2013. English. ⟨pastel-00878567⟩

Videos1 document

  • Dario Prandi, Samuel Debergue. D. Prandi - Weyl law for singular Riemannian manifolds: Sub-riemannian days 2018. 2018. ⟨medihal-01978277⟩