Results 11 to 20 of about 132 (78)
Horizontal mean curvature flow and nonlinear PDEs in sub-Riemannian spaces [PDF]
The horizontal mean curvature flow is an evolution of a hypersurface, which is interesting not only in a theoretical framework but also in applied science, for example in neurogeometry and computer science (e.g. [13, 14, 15]). The associated equation,
Grande, Raffaele
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A stochastic representation for the solution of approximated mean curvature flow [PDF]
, 2022 The evolution by horizontal mean curvature flow (HMCF) is a partial differential equation in a sub-Riemannian setting with applications in IT and neurogeometry .
Grande, Raffaele, Raffaele Grande
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Analysis of (sub-)Riemannian PDE-G-CNNs [PDF]
, 2023 Group equivariant convolutional neural networks (G-CNNs) have been successfully applied in geometric deep learning. Typically, G-CNNs have the advantage over CNNs that they do not waste network capacity on training symmetries that should have been hard ...
Bon, Daan L.J. +9 more
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Hypoelliptic diffusion and human vision: a semi-discrete new twist on the Petitot theory
, 2013 Keywords: neurogeometry, hypoelliptic diffusion, sub-Riemannian geometry, generalized Fourier transformThis paper is devoted to present an algorithm implementing the theory of neurogeometry of vision, described by Jean Petitot in his book.
Gauthier, Jean-Paul +3 more
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Cortical Functional architectures as contact and sub-Riemannian geometry [PDF]
, 2023 In a joint paper, Jean Petitot together with the authors of the present paper described the functional geometry of the visual cortex as the symplectization of a contact form to describe the family of cells sensitive to position, orientation and scale. In
Citti, Giovanna, Sarti, Alessandro
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Editorial: New trends in neurogeometrical approaches to the brain and mind problem.
, 2012 Neurogeometry is an emerging field at the interface between mathematics, psychophysics and neurosciences. It seeks at modeling theoretically and experimentally the process of integration of geometrical features in the visual cortex. This special issue of
Frégnac, Yves, Peyré, Gabriel
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The dendritic density field of a cortical pyramidal cell [PDF]
, 2012 Much is known about the computation in individual neurons in the cortical column. Also, the selective connectivity between many cortical neuron types has been studied in great detail.
Hermann Cuntz +3 more
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Emergent Connectivity Principles in the Neocortex [PDF]
, 2010 The neocortex makes up over 80% of the mammalian brain and is responsible for higher cognitive functions, processing of sensory inputs and orchestration of complex motor outputs.
Riachi, Imad
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Neurogeometry of stereo vision [PDF]
Neurogéométrie de la vision stéréo Ce travail vise à développer un modèle neurogéométrique de la vision stéréo, basé sur les architectures corticales impliquées dans le problème de la perception 3D et les mécanismes neuronaux générés par les disparités rétiniennes.
openaire +2 more sources
Finite Element Models of Transcutaneous Spinal Cord Stimulation
, 2014 Transcutaneous spinal cord stimulation (SCS) is a noninvasive method to electrically stimulate afferent structures of the human lumbar spinal cord. These are the same neural targets as predom- inantly activated by epidural implants.
Ursula S. Hofstoetter +5 more
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