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Grid cells play a principal role in enabling mammalian cognitive representations of ambient environments. The key property of these cells -- the regular arrangement of their firing fields -- is commonly viewed as means for establishing…

Neurons and Cognition · Quantitative Biology 2022-08-30 Yuri Dabaghian

Understanding spatial location and relationships is a fundamental capability for modern artificial intelligence systems. Insights from human spatial cognition provide valuable guidance in this domain. Neuroscientific discoveries have…

Neural and Evolutionary Computing · Computer Science 2024-09-17 Boyang Li , Yulin Wu , Nuoxian Huang , Wenjia Zhang

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 activity of the grid cell population in the medial entorhinal cortex (MEC) of the mammalian brain forms a vector representation of the self-position of the animal. Recurrent neural networks have been proposed to explain the properties…

Neurons and Cognition · Quantitative Biology 2022-11-08 Dehong Xu , Ruiqi Gao , Wen-Hao Zhang , Xue-Xin Wei , Ying Nian Wu

In this paper we explain the strikingly regular activity of the 'grid' cells in rodent dorsal medial entorhinal cortex (dMEC) and the spatially localized activity of the hippocampal place cells in CA3 and CA1 by assuming that the…

Neurons and Cognition · Quantitative Biology 2008-04-22 Andras Lorincz , Melinda Kiszlinger , Gabor Szirtes

Behavioral flexibility is learning from previous experiences and planning appropriate actions in a changing or novel environment. Successful behavioral adaptation depends on internal models the brain builds to represent the relational…

Neurons and Cognition · Quantitative Biology 2021-07-01 Linda Q. Yu , Seongmin A. Park , Sarah C. Sweigart , Erie D. Boorman , Matthew R. Nassar

Grid cells enable the brain to model the physical space of the world and navigate effectively via path integration, updating self-position using information from self-movement. Recent proposals suggest that the brain might use similar…

Artificial Intelligence · Computer Science 2021-02-19 Niels Leadholm , Marcus Lewis , Subutai Ahmad

Grid cells in the medial entorhinal cortex (MEC) and place cells in the hippocampus (HC) both form spatial representations. Grid cells fire in triangular grid patterns, while place cells fire at specific locations and respond to contextual…

Neurons and Cognition · Quantitative Biology 2026-03-24 Zhaoze Wang , Genela Morris , Dori Derdikman , Pratik Chaudhari , Vijay Balasubramanian

Many deep neural network architectures loosely based on brain networks have recently been shown to replicate neural firing patterns observed in the brain. One of the most exciting and promising novel architectures, the Transformer neural…

Neural and Evolutionary Computing · Computer Science 2022-03-16 James C. R. Whittington , Joseph Warren , Timothy E. J. Behrens

Space is represented in the mammalian brain by the activity of hippocampal place cells as well as in their spike-timing correlations. Here we propose a theory how this temporal code is transformed to spatial firing rate patterns via…

Neurons and Cognition · Quantitative Biology 2017-08-02 Mauro M. Monsalve-Mercado , Christian Leibold

Many recent models study the downstream projection from grid cells to place cells, while recent data has pointed out the importance of the feedback projection. We thus asked how grid cells are affected by the nature of the input from the…

Neurons and Cognition · Quantitative Biology 2015-07-16 Yedidyah Dordek , Ron Meir , Dori Derdikman

The brain's spatial orientation system uses different neuron ensembles to aid in environment-based navigation. Two of the ways brains encode spatial information is through head direction cells and grid cells. Brains use head direction cells…

Neural and Evolutionary Computing · Computer Science 2023-09-07 Edward C. Mitchell , Brittany Story , David Boothe , Piotr J. Franaszczuk , Vasileios Maroulas

The human brain possesses the extraordinary capability to contextualize the information it receives from our environment. The entorhinal-hippocampal plays a critical role in this function, as it is deeply engaged in memory processing and…

Artificial Intelligence · Computer Science 2023-07-06 Paul Stoewer , Achim Schilling , Andreas Maier , Patrick Krauss

Understanding how receptive fields emerge and organize within brain networks and how neural dynamics couple with stimuli space is fundamental to neuroscience. Models often rely on fine-tuning connectivity to match empirical data, which may…

Neurons and Cognition · Quantitative Biology 2026-01-07 Vasilii Tiselko , Alexander Gorsky , Yuri Dabaghian

For 20 years the beautiful structure in the grid cell code has presented an attractive puzzle: what computation do these representations subserve, and why does it manifest so curiously in neurons. The first question quickly attracted an…

Neurons and Cognition · Quantitative Biology 2026-03-06 William Dorrell , James C. R. Whittington

A variety of behaviors like spatial navigation or bodily motion can be formulated as graph traversal problems through cognitive maps. We present a neural network model which can solve such tasks and is compatible with a broad range of…

Neural and Evolutionary Computing · Computer Science 2021-10-12 Henry Powell , Mathias Winkel , Alexander V. Hopp , Helmut Linde

Grid cells, discovered more than a decade ago [5], are neurons in the brain of mammals that fire when the animal is located near certain specific points in its familiar terrain. Intriguingly, these points form, for a single cell, a…

Neurons and Cognition · Quantitative Biology 2016-06-16 Christos H. Papadimitriou

To afford flexible behaviour, the brain must build internal representations that mirror the structure of variables in the external world. For example, 2D space obeys rules: the same set of actions combine in the same way everywhere (step…

Neurons and Cognition · Quantitative Biology 2025-03-04 William Dorrell , Peter E. Latham , Timothy E. J. Behrens , James C. R. Whittington

Place-cell networks, typically forced to pairwise synaptic interactions, are widely studied as models of cognitive maps: such models, however, share a severely limited storage capacity, scaling linearly with network size and with a very…

Disordered Systems and Neural Networks · Physics 2025-11-24 Adriano Barra , Martino S. Centonze , Michela Marra Solazzo , Daniele Tantari

Questions about information encoded by the brain demand statistical frameworks for inferring relationships between neural firing and features of the world. The landmark discovery of grid cells demonstrates that neurons can represent spatial…