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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

Fourier-like summation of several grid cell modules with different spatial frequencies in the medial entorhinal cortex (MEC) has long been proposed to form the contours of place firing fields. Recent experiments largely, but not completely,…

Neurons and Cognition · Quantitative Biology 2019-10-15 Taiping Zeng , XiaoLi Li , Bailu Si

Since their Nobel Prize winning discovery in 2005, grid cells have been studied extensively by neuroscientists. Their multi-scale periodic firing rates tiling the environment as the animal moves around has been shown as critical for path…

Neurons and Cognition · Quantitative Biology 2022-10-24 Jason Toy

This paper presents a hybrid approach to spatial indexing of two dimensional data. It sheds new light on the age old problem by thinking of the traditional algorithms as working with images. Inspiration is drawn from an analogous situation…

Data Structures and Algorithms · Computer Science 2016-11-17 Lukasz A. Machowski , Tshilidzi Marwala

Efficient and scalable 3D surface reconstruction from range data remains a core challenge in computer graphics and vision, particularly in real-time and resource-constrained scenarios. Traditional volumetric methods based on…

Graphics · Computer Science 2025-11-27 Lorenzo De Rebotti , Emanuele Giacomini , Giorgio Grisetti , Luca Di Giammarino

Continuous attractor networks (CANs) are widely used to model how the brain temporarily retains continuous behavioural variables via persistent recurrent activity, such as an animal's position in an environment. However, this memory…

Neural and Evolutionary Computing · Computer Science 2025-07-02 Madison Cotteret , Christopher J. Kymn , Hugh Greatorex , Martin Ziegler , Elisabetta Chicca , Friedrich T. Sommer

In this work, we propose a novel adaptive grid mapping approach, the Adaptive Patched Grid Map, which enables a situational aware grid based perception for autonomous vehicles. Its structure allows a flexible representation of the…

Robotics · Computer Science 2023-08-08 Thomas Wodtko , Thomas Griebel , Michael Buchholz

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

Hexahedral meshes are an ubiquitous domain for the numerical resolution of partial differential equations. Computing a pure hexahedral mesh from an adaptively refined grid is a prominent approach to automatic hexmeshing, and requires the…

Graphics · Computer Science 2022-09-07 Marco Livesu , Luca Pitzalis , Gianmarco Cherchi

We propose HiCL, a novel hippocampal-inspired dual-memory continual learning architecture designed to mitigate catastrophic forgetting by using elements inspired by the hippocampal circuitry. Our system encodes inputs through a…

Machine Learning · Computer Science 2026-02-11 Kushal Kapoor , Wyatt Mackey , Yiannis Aloimonos , Xiaomin Lin

Hub structure, characterized by a few highly interconnected nodes surrounded by a larger number of nodes with fewer connections, is a prominent topological feature of biological brains, contributing to efficient information transfer and…

Machine Learning · Computer Science 2023-07-06 Zhaoze Wang , Junsong Wang

Heterogeneity is a ubiquitous property of many biological systems and has profound implications for computation. While it is conceivable to optimize neuronal and synaptic heterogeneity for a specific task, such top-down optimization is…

Machine Learning · Computer Science 2025-12-02 Arash Golmohammadi , Jannik Luboeinski , Christian Tetzlaff

This article investigates the performance of grid computing systems whose interconnections are given by random and scale-free complex network models. Regular networks, which are common in parallel computing architectures, are also used as a…

Statistical Mechanics · Physics 2009-11-10 Luciano da Fontoura Costa , Gonzalo Travieso , Carlos Antonio Ruggiero

The spiking activity of principal cells in mammalian hippocampus encodes an internalized neuronal representation of the ambient space---a cognitive map. Once learned, such a map enables the animal to navigate a given environment for a long…

Neurons and Cognition · Quantitative Biology 2017-10-10 Andrey Babichev , Dmitriy Morozov , Yuri Dabaghian

This paper presents MetricGrids, a novel grid-based neural representation that combines elementary metric grids in various metric spaces to approximate complex nonlinear signals. While grid-based representations are widely adopted for their…

Computer Vision and Pattern Recognition · Computer Science 2025-03-14 Shu Wang , Yanbo Gao , Shuai Li , Chong Lv , Xun Cai , Chuankun Li , Hui Yuan , Jinglin Zhang

In healthcare, accurately classifying medical images is vital, but conventional methods often hinge on medical data with a consistent grid structure, which may restrict their overall performance. Recent medical research has been focused on…

Computer Vision and Pattern Recognition · Computer Science 2023-06-06 Kishore Babu Nampalle , Pradeep Singh , Vivek Narayan Uppala , Sumit Gangwar , Rajesh Singh Negi , Balasubramanian Raman

This article proposes the use of Vector Symbolic Architectures for implementing Hierarchical Graph Neuron, an architecture for memorizing patterns of generic sensor stimuli. The adoption of a Vector Symbolic representation ensures a…

Artificial Intelligence · Computer Science 2019-08-13 Denis Kleyko , Evgeny Osipov , Alexander Senior , Asad I. Khan , Y. Ahmet Şekercioğlu

Understanding how grid cells perform path integration calculations remains a fundamental problem. In this paper, we conduct theoretical analysis of a general representation model of path integration by grid cells, where the 2D self-position…

Neurons and Cognition · Quantitative Biology 2021-11-04 Ruiqi Gao , Jianwen Xie , Xue-Xin Wei , Song-Chun Zhu , Ying Nian Wu

The hippocampus encodes space through a striking gradient of place field sizes along its dorsal-ventral axis, yet the principles generating this continuous gradient from discrete grid cell inputs remain debated. We propose a unified…

Neurons and Cognition · Quantitative Biology 2025-06-06 Shujun Zhou , Guozhang Chen

Conforming hexahedral (hex) meshes are favored in simulation for their superior numerical properties, yet automatically decomposing a general 3D volume into a conforming hex mesh remains a formidable challenge. Among existing approaches,…

Computational Geometry · Computer Science 2026-01-07 Hua Tong , Yongjie Jessica Zhang