Výsledky vyhledávání - "Dario Prandi"

Akademický článek

Autor: Ilias Rentzeperis, Luca Calatroni, Laurent U Perrinet, Dario Prandi

Publikováno v: PLoS Computational Biology, Vol 19, Iss 9, p e1011459 (2023)

Growing evidence indicates that only a sparse subset from a pool of sensory neurons is active for the encoding of visual stimuli at any instant in time. Traditionally, to replicate such biological sparsity, generative models have been using the ℓ1

Externí odkaz: https://doaj.org/article/e7f76c7342d74bbda6d777de4b443ade

Zobrazit plný text záznamu

Plný text ve formátu HTML

Akademický článek

A Cortical-Inspired Sub-Riemannian Model for Poggendorff-Type Visual Illusions

Autor: Emre Baspinar, Luca Calatroni, Valentina Franceschi, Dario Prandi

Publikováno v: Journal of Imaging, Vol 7, Iss 3, p 41 (2021)

We consider Wilson-Cowan-type models for the mathematical description of orientation-dependent Poggendorff-like illusions. Our modelling improves two previously proposed cortical-inspired approaches, embedding the sub-Riemannian heat kernel into the

Externí odkaz: https://doaj.org/article/e9a38d55fa5644de80becc7cd64864d1

Zobrazit plný text záznamu

Point interactions for 3D sub-Laplacians

Autor: Riccardo Adami, Valentina Franceschi, Dario Prandi, Ugo Boscain

Publikováno v: Annales de l'Institut Henri Poincaré (C) Non Linear Analysis
Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 2020, ⟨10.1016/j.anihpc.2020.10.007⟩
Annales de l'Institut Henri Poincaré C, Analyse non linéaire
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2020, ⟨10.1016/j.anihpc.2020.10.007⟩

In this paper we show that, for a sub-Laplacian Δ on a 3-dimensional manifold M, no point interaction centered at a point q 0 ∈ M exists. When M is complete w.r.t. the associated sub-Riemannian structure, this means that Δ acting on C 0 ∞ ( M �

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96cb69dda67ed3cb1f53932c944b247c
https://doi.org/10.1016/j.anihpc.2020.10.007

Zobrazit plný text záznamu

Hardy-Type Inequalities for the Carnot–Carathéodory Distance in the Heisenberg Group

Autor: Dario Prandi, Valentina Franceschi

Publikováno v: The Journal of Geometric Analysis
The Journal of Geometric Analysis, Springer, 2020, ⟨10.1007/s12220-020-00360-y⟩

In this paper we study Hardy inequalities in the Heisenberg group $${\mathbb {H}}^n$$ , with respect to the Carnot–Caratheodory distance $$\delta $$ from the origin. We firstly show that, letting Q be the homogenous dimension, the optimal constant

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::825b6fb6ddf54f7359ee663057b3f3e0
https://doi.org/10.1007/s12220-020-00360-y

Zobrazit plný text záznamu

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

Autor: Yacine Chitour, Paolo Mason, Dario Prandi

Publikováno v: IFAC World Congress 2020, Germany
IFAC World Congress 2020, Germany, Jul 2020, Berlin (virtual), Germany. pp.1709-1714

International audience; In this paper, we study the worst rate of exponential decay for degenerate gradient flows in R n of the formẋ(t) = −c(t)c(t) x(t), issued from adaptative control theory, under a persistent excitation (PE) condition. That i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18da7d93f52e9de6076d0f646a35996f
https://doi.org/10.1016/j.ifacol.2020.12.2246

Zobrazit plný text záznamu

An auditory cortex model for sound processing

Autor: Ludovic Sacchelli, Rand Asswad, Dario Prandi, Giuseppina Turco, Ugo Boscain

Publikováno v: Geometric Science of Information
GSI 2021: Geometric Science of Information
GSI 2021: Geometric Science of Information, Jul 2021, Paris, France. ⟨10.1007/978-3-030-80209-7_7⟩
Lecture Notes in Computer Science ISBN: 9783030802080
GSI
Actes de GSI 2021

The reconstruction mechanisms built by the human auditory system during sound reconstruction are still a matter of debate. The purpose of this study is to refine the auditory cortex model introduced in [9], and inspired by the geometrical modelling o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2837eb3dd0799f27e1204c4ac1fb9afe
https://hal.archives-ouvertes.fr/hal-03160486/document

Zobrazit plný text záznamu

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

Autor: Paolo Mason, Dario Prandi, Yacine Chitour

Publikováno v: SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, In press, 59 (4), pp.3040-3067. ⟨10.1137/20M1343427⟩

In this paper we estimate the worst rate of exponential decay of degenerate gradient flows $\dot x = -S x$, issued from adaptive control theory. Under persistent excitation assumptions on the positive semi-definite matrix $S$, we provide upper bounds

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0ae15cbf7bf790b69dae334a37ffa46b
https://hal.archives-ouvertes.fr/hal-02792435

Zobrazit plný text záznamu

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

Autor: Luca Calatroni, Valentina Franceschi, Dario Prandi, Marcelo Bertalmío, Alexander Gomez Villa, Benedetta Franceschiello

Publikováno v: Journal of Neurophysiology
Journal of Neurophysiology, American Physiological Society, 2020, 123 (5), pp.1606-1618. ⟨10.1152/jn.00488.2019⟩
Journal of Neurophysiology, 2020, 123 (5), pp.1606-1618. ⟨10.1152/jn.00488.2019⟩

International audience; We reproduce suprathreshold perception phenomena, specifically visual illusions, by Wilson–Cowan (WC)-type models of neuronal dynamics. Our findings show that the ability to replicate the illusions considered is related to h

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::338381e6171c4d8f9c5a953bc5855ff5

Zobrazit plný text záznamu

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

Autor: Dario Prandi, Marcello Seri, Luca Rizzi

Publikováno v: Journal of Differential Geometry
Journal of Differential Geometry, International Press, 2019, 111 (2), pp.339-379. ⟨10.4310/jdg/1549422105⟩
Journal of Differential Geometry, 2019, 111 (2), pp.339-379. ⟨10.4310/jdg/1549422105⟩
Journal of differential geometry, 111(2), 339-279
J. Differential Geom. 111, no. 2 (2019), 339-379

In this paper we prove a sub-Riemannian version of the classical Santal\'o formula: a result in integral geometry that describes the intrinsic Liouville measure on the unit cotangent bundle in terms of the geodesic flow. Our construction works under

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3e742901656c356a7427f9d995df3a8
https://hal.archives-ouvertes.fr/hal-01221668

Zobrazit plný text záznamu

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

Autor: Benedetta Franceschiello, Marcelo Bertalmío, Luca Calatroni, Dario Prandi, Valentina Franceschi

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
Lecture Notes in Computer Science ISBN: 9783030223670
Lecture Notes in Computer Science
Scale Space and Variational Methods in Computer Vision
SSVM 2019: Scale Space and Variational Methods in Computer Vision
SSVM 2019: Scale Space and Variational Methods in Computer Vision, Jun 2019, Hofgeismar, Germany. ⟨10.1007/978-3-030-22368-7_37⟩

Comunicació presentada a: The 7th International Conference on Scale Space and Variational Methods in Computer Vision, celebrada del 30 de juny al 4 de juliol de 2019 a Hofgeismar, Alemanya. We consider a differential model describing neuro-physiolog

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58d980ed87e66389c706709868b3ceb7
http://arxiv.org/abs/1812.07425

Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání