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Related papers: Coordinated optimization of visual cortical maps (…

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It is an attractive hypothesis that the spatial structure of visual cortical architecture can be explained by the coordinated optimization of multiple visual cortical maps representing orientation preference (OP), ocular dominance (OD),…

Neurons and Cognition · Quantitative Biology 2015-06-03 Lars Reichl , Dominik Heide , Siegrid Löwel , Justin C. Crowley , Matthias Kaschube , Fred Wolf

The primary visual cortex of many mammals contains a continuous representation of visual space, with a roughly repetitive aperiodic map of orientation preferences superimposed. It was recently found that orientation preference maps (OPMs)…

Neurons and Cognition · Quantitative Biology 2015-03-19 Wolfgang Keil , Fred Wolf

The topologies permitted in joint ocular dominance (OD), orientation preference (OP), and direction preference (DP) maps in the primary visual cortex (V1) are considered, with the aim of finding a maximally symmetric periodic case that can…

Biological Physics · Physics 2021-12-14 X. Liu , P. A. Robinson

One fascinating aspect of the brain is its ability to process information in a fast and reliable manner. The functional architecture is thought to play a central role in this task, by encoding efficiently complex stimuli and facilitating…

Neurons and Cognition · Quantitative Biology 2016-02-17 Alberto Romagnoni , Jérôme Ribot , Daniel Bennequin , Jonathan D. Touboul

A compact analytic model is proposed to describe the combined orientation preference (OP) and ocular dominance (OD) features of simple cells and their layout in the primary visual cortex (V1). This model consists of three parts: (i) an…

Neurons and Cognition · Quantitative Biology 2021-03-19 Xiaochen Liu , Peter A. Robinson

There has been great progress in understanding of anatomical and functional microcircuitry of the primate cortex. However, the fundamental principles of cortical computation - the principles that allow the visual cortex to bind retinal…

Computer Vision and Pattern Recognition · Computer Science 2016-08-24 Micah Richert , Dimitry Fisher , Filip Piekniewski , Eugene M. Izhikevich , Todd L. Hylton

Primary visual cortex (V1) provides crucial insights into the selectivity and emergence of specific output features such as orientation tuning. Tuning and selectivity of cortical neurons in mouse visual cortex is not equivocally resolved so…

In this article, a compliance minimisation scheme for designing spatially varying orthotropic porous structures is proposed. With the utilisation of conformal mapping, the porous structures here can be generated by two controlling field…

Numerical Analysis · Mathematics 2022-02-16 Shaoshuai Li , Yichao Zhu , Xu Guo

Anatomical connectivity imposes strong constraints on brain function, but there is no general agreement about principles that govern its organization. Based on extensive quantitative data we tested the power of three models to predict…

Neurons and Cognition · Quantitative Biology 2016-05-31 Sarah F. Beul , Helen Barbas , Claus C. Hilgetag

We propose a theory for ocular dominance (OD) patterns in mammalian primary visual cortex. This theory is based on the premise that OD pattern is an adaptation to minimize the length of intra-cortical wiring. Thus we can understand the…

Soft Condensed Matter · Physics 2007-05-23 Dmitri B. Chklovskii , Alexei A. Koulakov

The architecture of iso-orientation domains in the primary visual cortex of placental carnivores and primates apparently follows species invariant quantitative laws. Dynamical optimization models assuming that neurons coordinate their…

Neurons and Cognition · Quantitative Biology 2015-12-01 Manuel Schottdorf , Wolfgang Keil , David Coppola , Leonard E. White , Fred Wolf

The organization of the connectivity between mammalian cortical areas has become a major subject of study, because of its important role in scaffolding the macroscopic aspects of animal behavior and intelligence. In this study we present a…

Neurons and Cognition · Quantitative Biology 2007-05-23 Luciano da F Costa , Marcus Kaiser , Claus C Hilgetag

Methods based on class activation maps (CAM) provide a simple mechanism to interpret predictions of convolutional neural networks by using linear combinations of feature maps as saliency maps. By contrast, masking-based methods optimize a…

Computer Vision and Pattern Recognition · Computer Science 2024-04-08 Hanwei Zhang , Felipe Torres , Ronan Sicre , Yannis Avrithis , Stephane Ayache

We address the problem of building theoretical models that help elucidate the function of the visual brain at computational/algorithmic and structural/mechanistic levels. We seek to understand how the receptive fields and topographic maps…

Neural and Evolutionary Computing · Computer Science 2020-11-10 Simon Osindero

An approach that combines Self-Organizing maps, hierarchical clustering and network components is presented, aimed at comparing protein conformational ensembles obtained from multiple Molecular Dynamic simulations. As a first result the…

Computational Engineering, Finance, and Science · Computer Science 2013-10-01 Domenico Fraccalvieri , Laura Bonati , Fabio Stella

Optimization algorithms can be interpreted through the lens of dynamical systems as the interconnection of linear systems and a set of subgradient nonlinearities. This dynamical systems formulation allows for the analysis and synthesis of…

Optimization and Control · Mathematics 2026-03-27 Jared Miller , Carsten Scherer , Fabian Jakob , Andrea Iannelli

In animal experiments, the observed orientation preference (OP) and ocular dominance (OD) columns in the visual cortex of the brain show various pattern types. Here, we show that the different visual map formations in various species are…

Neurons and Cognition · Quantitative Biology 2013-05-29 Myoung Won Cho , Seunghwan Kim

Optimization under structural constraints is typically analyzed through projection or penalty methods, obscuring the geometric mechanism by which constraints shape admissible dynamics. We propose an operator-theoretic formulation in which…

Optimization and Control · Mathematics 2026-03-10 Changkai Li

Neuronal circuits of the cerebral cortex are the structural basis of mammalian cognition. The same qualitative components and connectivity motifs are repeated across functionally specialized cortical areas and mammalian species, suggesting…

Neurons and Cognition · Quantitative Biology 2025-07-04 Arno Granier , Katharina A Wilmes , Mihai A Petrovici , Walter Senn

The spatial and functional organization of the primate visual cortex is a fundamental problem in neuroscience. While recent computational frameworks like the Topographic Deep Artificial Neural Network (TDANN) have successfully modeled…

Neurons and Cognition · Quantitative Biology 2026-05-13 Zhaotian Gu , Molan Li , Jie Su , Chang Liu , Tianyi Qian , Dahui Wang
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