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In the past few years, the study of receptive field codes has been of large interest to mathematicians. Here we give a complete characterization of receptive field codes realizable by connected receptive fields and we give the minimal…

Combinatorics · Mathematics 2020-11-30 Raffaella Mulas , Ngoc M Tran

Learning to read places a strong challenge on the visual system. Years of expertise lead to a remarkable capacity to separate highly similar letters and encode their relative positions, thus distinguishing words such as FORM and FROM,…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Aakash Agrawal , Stanislas Dehaene

High-dimensional neural activity often reside in a low-dimensional subspace, referred to as neural manifolds. Grid cells in the medial entorhinal cortex provide a periodic spatial code that are organized near a toroidal manifold,…

Neurons and Cognition · Quantitative Biology 2025-10-22 Yuxing Jared Yao , Iris H. R. Yoon

The human brain cortical layer has a convoluted morphology that is unique to each individual. Characterization of the cortical morphology is necessary in longitudinal studies of structural brain change, as well as in discriminating…

Neurons and Cognition · Quantitative Biology 2019-02-21 Sevil Maghsadhagh , Anders Eklund , Hamid Behjat

Neural Turing Machines (NTM) contain memory component that simulates "working memory" in the brain to store and retrieve information to ease simple algorithms learning. So far, only linearly organized memory is proposed, and during…

Artificial Intelligence · Computer Science 2015-10-27 Wei Zhang , Yang Yu , Bowen Zhou

The neural network is a powerful computing framework that has been exploited by biological evolution and by humans for solving diverse problems. Although the computational capabilities of neural networks are determined by their structure,…

Neural and Evolutionary Computing · Computer Science 2019-03-27 Nathaniel Rodriguez , Eduardo Izquierdo , Yong-Yeol Ahn

The brain as an astonishingly remarkable device has been studied from various angles. It is now well known that neurons are the seat of all activities of the brain function. The dynamical properties pertaining to a single neuron and a…

Neurons and Cognition · Quantitative Biology 2007-05-23 I. Mitra

Neurons in the visual cortex are correlated in their variability. The presence of correlation impacts cortical processing because noise cannot be averaged out over many neurons. In an effort to understand the functional purpose of…

Machine Learning · Computer Science 2018-04-04 Shamak Dutta , Bryan Tripp , Graham Taylor

Since Darwin, species trees have been used as a simplified description of the relationships which summarize the complicated network $N$ of reality. Recent evidence of hybridization and lateral gene transfer, however, suggest that there are…

Populations and Evolution · Quantitative Biology 2016-11-17 Stephen J. Willson

Recent research has suggested that the brain is more shallow than previously thought, challenging the traditionally assumed hierarchical structure of the ventral visual pathway. Here, we demonstrate that optimizing convolutional network…

Neural and Evolutionary Computing · Computer Science 2025-05-02 Lukas Kuhn , Sari Saba-Sadiya , Gemma Roig

The traditional view of neural computation in the cerebral cortex holds that sensory neurons are specialized, i.e., selective for certain dimensions of sensory stimuli. This view was challenged by evidence of contextual interactions between…

Neurons and Cognition · Quantitative Biology 2022-04-26 Sergei Gepshtein , Ambarish Pawar , Sunwoo Kwon , Sergey Savel'ev , Thomas D. Albright

Typical brain networks consist of many peripheral regions and a few highly central ones, i.e. hubs, playing key functional roles in cerebral inter-regional interactions. Studies have shown that networks, obtained from the analysis of…

Neurons and Cognition · Quantitative Biology 2016-07-19 Manlio De Domenico , Shuntaro Sasai , Alex Arenas

Neural correlations play a critical role in sensory information coding. They are of two kinds: signal correlations, when neurons have overlapping sensitivities, and noise correlations from network effects and shared noise. In experiments…

Neurons and Cognition · Quantitative Biology 2025-07-03 Gabriel Mahuas , Thomas Buffet , Olivier Marre , Ulisse Ferrari , Thierry Mora

The informational synthesis of neural structures, processes, parameters and characteristics that allow a unified description and modeling as neural machines of natural and artificial neural systems is presented. The general informational…

Neural and Evolutionary Computing · Computer Science 2024-04-08 Iosif Iulian Petrila

Understanding how novices reason about coding at a neurological level has implications for training the next generation of software engineers. In recent years, medical imaging has been increasingly employed to investigate patterns of neural…

Software Engineering · Computer Science 2021-03-09 Madeline Endres , Zachary Karas , Xiaosu Hu , Ioulia Kovelman , Westley Weimer

In graph learning, maps between graphs and their subgraphs frequently arise. For instance, when coarsening or rewiring operations are present along the pipeline, one needs to keep track of the corresponding nodes between the original and…

Machine Learning · Computer Science 2023-02-01 Marco Pegoraro , Riccardo Marin , Arianna Rampini , Simone Melzi , Luca Cosmo , Emanuele Rodolà

We introduce neural cortical maps, a continuous and compact neural representation for cortical feature maps, as an alternative to traditional discrete structures such as grids and meshes. It can learn from meshes of arbitrary size and…

Computer Vision and Pattern Recognition · Computer Science 2026-01-28 Ines Vati , Pierrick Bourgeat , Rodrigo Santa Cruz , Vincent Dore , Olivier Salvado , Clinton Fookes , Léo Lebrat

The idea that complex systems have a hierarchical modular organization originates in the early 1960s and has recently attracted fresh support from quantitative studies of large scale, real-life networks. Here we investigate the hierarchical…

Data Analysis, Statistics and Probability · Physics 2010-04-20 D. Meunier , R. Lambiotte , A. Fornito , K. D. Ersche , E. T. Bullmore

Factors that limit the size of the input and output of a neural network include memory requirements for the network states/activations to compute gradients, as well as memory for the convolutional kernels or other weights. The memory…

Computer Vision and Pattern Recognition · Computer Science 2019-12-30 Bas Peters , Eldad Haber , Keegan Lensink

Effective analysis in neuroscience benefits significantly from robust conceptual frameworks. Traditional metrics of interbrain synchrony in social neuroscience typically depend on fixed, correlation-based approaches, restricting their…

Neurons and Cognition · Quantitative Biology 2025-12-01 Nicolás Hinrichs , Noah Guzmán , Melanie Weber