Zobrazeno 1 - 10
of 108
pro vyhledávání: '"Prandi, Dario"'
Neural field equations with time-periodic external inputs and some applications to visual processing
Autor:
Bolelli, Maria Virginia, Prandi, Dario
The aim of this work is to present a mathematical framework for the study of flickering inputs in visual processing tasks. When combined with geometric patterns, these inputs influence and induce interesting psychophysical phenomena, such as the MacK
Externí odkaz:
http://arxiv.org/abs/2407.17294
This paper investigates the online estimation of neural activity within the primary visual cortex (V1) in the framework of observability theory. We focus on a low-dimensional neural fields modeling hypercolumnar activity to describe activity in V1. W
Externí odkaz:
http://arxiv.org/abs/2403.01906
This paper focuses on the modeling of experiments conducted by Billock and Tsou [V. A. Billock and B. H. Tsou, Proc. Natl. Acad. Sci. USA, 104 (2007), pp. 8490--8495] using an Amari-type neural field that models the average membrane potential of neur
Externí odkaz:
http://arxiv.org/abs/2401.09108
This paper investigates the intricate connection between visual perception and the mathematical modeling of neural activity in the primary visual cortex (V1). The focus is on modeling the visual MacKay effect [D. M. MacKay, Nature, 180 (1957), pp. 84
Externí odkaz:
http://arxiv.org/abs/2311.07338
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 $\ell
Externí odkaz:
http://arxiv.org/abs/2301.10002
To study the interaction between retinal stimulation by redundant geometrical patterns and the cortical response in the primary visual cortex (V1), we focus on the MacKay effect (Nature, 1957) and Billock and Tsou's experiments (PNAS, 2007). We use a
Externí odkaz:
http://arxiv.org/abs/2212.04827
Understanding sensory-induced cortical patterns in the primary visual cortex V1 is an important challenge both for physiological motivations and for improving our understanding of human perception and visual organisation. In this work, we focus on pa
Externí odkaz:
http://arxiv.org/abs/2207.03901
In this paper we introduce a notion of magnetic field in the Heisenberg group and we study its influence on spectral properties of the corresponding magnetic (sub-elliptic) Laplacian. We show that uniform magnetic fields uplift the bottom of the spec
Externí odkaz:
http://arxiv.org/abs/2110.13775
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:
http://arxiv.org/abs/2103.04608