Learning quadratic receptive fields from neural responses to natural stimuli

Autor: Olivier Marre, Kanaka Rajan, Gašper Tkačik
Přispěvatelé: Princeton University, Institut de la Vision, Institut National de la Santé et de la Recherche Médicale (INSERM)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Centre Hospitalier National d'Ophtalmologie des Quinze-Vingts (CHNO), Institute of Science and Technology [Klosterneuburg, Austria] (IST Austria), Marre, Olivier
Rok vydání: 2013
Předmět:
[SDV]Life Sciences [q-bio]
Entropy
MESH: Neurons
Information Theory
Inference
Information theory
computer.software_genre
MESH: Linear Models
0302 clinical medicine
Quadratic equation
MESH: Animals
Mathematics
Neurons
0303 health sciences
Likelihood Functions
MESH: Information Theory
Covariance
MESH: Entropy
[SDV] Life Sciences [q-bio]
MESH: Nonlinear Dynamics
Neurons and Cognition (q-bio.NC)
Generalized linear model
MESH: Bayes Theorem
Cognitive Neuroscience
Bayesian probability
Models
Neurological

Stimulus (physiology)
Machine learning
03 medical and health sciences
MESH: Computer Simulation
Arts and Humanities (miscellaneous)
MESH: Models
Neurological

Animals
Humans
Learning
Computer Simulation
030304 developmental biology
MESH: Humans
Quantitative Biology::Neurons and Cognition
business.industry
Pattern recognition
Bayes Theorem
Nonlinear Dynamics
Receptive field
Quantitative Biology - Neurons and Cognition
FOS: Biological sciences
Linear Models
MESH: Learning
MESH: Likelihood Functions
Artificial intelligence
business
computer
030217 neurology & neurosurgery
Zdroj: Neural Computation
Neural Computation, 2013, 25 (7), pp.1661-1692. ⟨10.1162/NECO_a_00463⟩
ISSN: 1530-888X
0899-7667
DOI: 10.1162/NECO_a_00463⟩
Popis: Models of neural responses to stimuli with complex spatiotemporal correlation structure often assume that neurons are only selective for a small number of linear projections of a potentially high-dimensional input. Here we explore recent modeling approaches where the neural response depends on the quadratic form of the input rather than on its linear projection, that is, the neuron is sensitive to the local covariance structure of the signal preceding the spike. To infer this quadratic dependence in the presence of arbitrary (e.g. naturalistic) stimulus distribution, we review several inference methods, focussing in particular on two information-theory-based approaches (maximization of stimulus energy or of noise entropy) and a likelihood-based approach (Bayesian spike-triggered covariance, extensions of generalized linear models). We analyze the formal connection between the likelihood-based and information-based approaches to show how they lead to consistent inference. We demonstrate the practical feasibility of these procedures by using model neurons responding to a flickering variance stimulus.
Comment: Review, 17 pages
Databáze: OpenAIRE