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The operational characteristics of a linear neural network image processing system based on the brain's vision system are investigated. The final stage of the network consists of edge detectors of various orienations arranged in a feature…

Neurons and Cognition · Quantitative Biology 2007-05-23 Ted Hesselroth , Klaus Schulten

The development of sensory receptive fields has been modeled in the past by a variety of models including normative models such as sparse coding or independent component analysis and bottom-up models such as spike-timing dependent…

Neurons and Cognition · Quantitative Biology 2017-02-08 Carlos S. N. Brito , Wulfram Gerstner

This article gives an overview of a normative computational theory of visual receptive fields, by which idealized functional models of early spatial, spatio-chromatic and spatio-temporal receptive fields can be derived in an axiomatic way…

Neurons and Cognition · Quantitative Biology 2021-01-25 Tony Lindeberg

Receptive field profiles registered by cell recordings have shown that mammalian vision has developed receptive fields tuned to different sizes and orientations in the image domain as well as to different image velocities in space-time.…

Neurons and Cognition · Quantitative Biology 2014-04-09 Tony Lindeberg

This paper gives an overview of a theory for modelling the interaction between geometric image transformations and receptive field responses for a visual observer that views objects and spatio-temporal events in the environment. This…

Neurons and Cognition · Quantitative Biology 2026-05-14 Tony Lindeberg

Primary visual cortex (V1) is the first stage of cortical image processing, and a major effort in systems neuroscience is devoted to understanding how it encodes information about visual stimuli. Within V1, many neurons respond selectively…

Neurons and Cognition · Quantitative Biology 2017-06-21 William F. Kindel , Elijah D. Christensen , Joel Zylberberg

We show how a Hopfield network with modifiable recurrent connections undergoing slow Hebbian learning can extract the underlying geometry of an input space. First, we use a slow/fast analysis to derive an averaged system whose dynamics…

Neurons and Cognition · Quantitative Biology 2011-02-02 Mathieu N. Galtier , Olivier D. Faugeras , Paul C. Bressloff

In this paper we study the spontaneous development of symmetries in the early layers of a Convolutional Neural Network (CNN) during learning on natural images. Our architecture is built in such a way to mimic the early stages of biological…

Neurons and Cognition · Quantitative Biology 2021-04-20 Federico Bertoni , Noemi Montobbio , Alessandro Sarti , Giovanna Citti

The primate brain contains a hierarchy of visual areas, dubbed the ventral stream, which rapidly computes object representations that are both specific for object identity and relatively robust against identity-preserving transformations…

Neural and Evolutionary Computing · Computer Science 2016-06-07 Joel Z. Leibo , Qianli Liao , Winrich Freiwald , Fabio Anselmi , Tomaso Poggio

The primary visual cortex processes a large amount of visual information, however, due to its large receptive fields, when multiple stimuli fall within one receptive field, there are computational problems. To solve this problem, the visual…

Neurons and Cognition · Quantitative Biology 2019-04-18 Linda Wang

The visual system is hierarchically organized to process visual information in successive stages. Neural representations vary drastically across the first stages of visual processing: at the output of the retina, ganglion cell receptive…

Neurons and Cognition · Quantitative Biology 2019-01-07 Jack Lindsey , Samuel A. Ocko , Surya Ganguli , Stephane Deny

The current leading computer vision models are typically feed forward neural models, in which the output of one computational block is passed to the next one sequentially. This is in sharp contrast to the organization of the primate visual…

Computer Vision and Pattern Recognition · Computer Science 2019-10-25 Barak Battash , Lior Wolf

This paper presents results of combining (i) theoretical analysis regarding connections between the orientation selectivity and the elongation of receptive fields for the affine Gaussian derivative model with (ii) biological measurements of…

Neurons and Cognition · Quantitative Biology 2025-06-24 Tony Lindeberg

Feedback-rich neural architectures can regenerate earlier representations and inject temporal context, making them a natural setting for strictly local synaptic plasticity. Existing literature raises doubt about whether a minimal,…

Neural and Evolutionary Computing · Computer Science 2026-02-03 Josh Li , Fow-sen Choa

The visual cortex is a vital part of the brain, responsible for hierarchically identifying objects. Understanding the role of the lateral geniculate nucleus (LGN) as a prior region of the visual cortex is crucial when processing visual…

Quantitative Methods · Quantitative Biology 2024-09-23 Moslem Gorji , Amin Ranjbar , Mohammad Bagher Menhaj

Learning features invariant to arbitrary transformations in the data is a requirement for any recognition system, biological or artificial. It is now widely accepted that simple cells in the primary visual cortex respond to features while…

Neural and Evolutionary Computing · Computer Science 2020-12-14 Jayanta K. Dutta , Bonny Banerjee

Currently, the most successful learning models in computer vision are based on learning successive representations followed by a decision layer. This is usually actualized through feedforward multilayer neural networks, e.g. ConvNets, where…

Computer Vision and Pattern Recognition · Computer Science 2017-08-22 Amir R. Zamir , Te-Lin Wu , Lin Sun , William Shen , Jitendra Malik , Silvio Savarese

Deep convolutional neural networks (CNNs) have demonstrated impressive performance on many visual tasks. Recently, they became useful models for the visual system in neuroscience. However, it is still not clear what are learned by CNNs in…

Neurons and Cognition · Quantitative Biology 2020-02-19 Qi Yan , Yajing Zheng , Shanshan Jia , Yichen Zhang , Zhaofei Yu , Feng Chen , Yonghong Tian , Tiejun Huang , Jian K. Liu

In this work we show how to construct connectivity kernels induced by the receptive profiles of simple cells of the primary visual cortex (V1). These kernels are directly defined by the shape of such profiles: this provides a metric model…

Metric Geometry · Mathematics 2019-10-14 Noemi Montobbio , Giovanna Citti , Alessandro Sarti

Classical models describe primary visual cortex (V1) as a filter bank of orientation-selective linear-nonlinear (LN) or energy models, but these models fail to predict neural responses to natural stimuli accurately. Recent work shows that…

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