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Related papers: Grid Alignment in Entorhinal Cortex

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The hippocampal-entorhinal complex plays a major role in the organization of memory and thought. The formation of and navigation in cognitive maps of arbitrary mental spaces via place and grid cells can serve as a representation of memories…

Neurons and Cognition · Quantitative Biology 2022-10-31 Paul Stoewer , Achim Schilling , Andreas Maier , Patrick Krauss

The human brain is a complex system defined by multi-way, higher-order interactions invisible to traditional pairwise network models. Although a diverse array of analytical methods has been developed to address this shortcoming, the field…

Quantitative Methods · Quantitative Biology 2025-11-11 Mohamma Reza Salehi , Ali BashirGonbadi , Hamid Soltanian-Zadeh

Network alignment (NA) is the task of finding the correspondence of nodes between two networks based on the network structure and node attributes. Our study is motivated by the fact that, since most of existing NA methods have attempted to…

Social and Information Networks · Computer Science 2023-08-21 Jin-Duk Park , Cong Tran , Won-Yong Shin , Xin Cao

Ellipse and ellipsoid fitting has been extensively researched and widely applied. Although traditional fitting methods provide accurate estimation of ellipse parameters in the low-noise case, their performance is compromised when the noise…

Methodology · Statistics 2009-12-10 Jieqi Yu , Sanjeev R. Kulkarni , H. Vincent Poor

In functionally complex systems, higher-order connectivity is often revealed in the underlying geometry of networked units. Furthermore, such systems often show signatures of self-organized criticality, a specific type of non-equilibrium…

Statistical Mechanics · Physics 2026-03-11 Bosiljka Tadic , Roderick Melnik

Cognitive maps are a proposed concept on how the brain efficiently organizes memories and retrieves context out of them. The entorhinal-hippocampal complex is heavily involved in episodic and relational memory processing, as well as spatial…

Neurons and Cognition · Quantitative Biology 2024-01-04 Paul Stoewer , Achim Schilling , Andreas Maier , Patrick Krauss

The geometric arrangement of planet and moon orbits into a regularly spaced pattern of distances is the result of a self-organizing system. The positive feedback mechanism that operates a self-organizing system is accomplished by harmonic…

Earth and Planetary Astrophysics · Physics 2017-08-30 Markus J. Aschwanden

Comprehending how the brain interacts with the external world through generated neural data is crucial for determining its working mechanism, treating brain diseases, and understanding intelligence. Although many theoretical models have…

Artificial Intelligence · Computer Science 2026-04-24 Jingyi Feng , Chenming Zhang

In this paper we provide an overview of a new framework for robot perception, real-world modelling, and navigation that uses a stochastic tesselated representation of spatial information called the Occupancy Grid. The Occupancy Grid is a…

Robotics · Computer Science 2013-04-05 A. Elfes

How does the mind organize thoughts? The hippocampal-entorhinal complex is thought to support domain-general representation and processing of structural knowledge of arbitrary state, feature and concept spaces. In particular, it enables the…

Artificial Intelligence · Computer Science 2022-02-24 Paul Stoewer , Christian Schlieker , Achim Schilling , Claus Metzner , Andreas Maier , Patrick Krauss

One of the most important parts of environment perception is the detection of obstacles in the surrounding of the vehicle. To achieve that, several sensors like radars, LiDARs and cameras are installed in autonomous vehicles. The produced…

Computer Vision and Pattern Recognition · Computer Science 2017-09-12 Florian Piewak

A number of recent papers have studied when symmetry causes frameworks on a graph to become infinitesimally flexible, or stressed, and when it has no impact. A number of other recent papers have studied special classes of frameworks on…

Metric Geometry · Mathematics 2010-06-07 Bernd Schulze , Walter Whiteley

MHD turbulence is likely to play an important role in several astrophysical scenarios where the magnetic Reynolds is very large. Numerically, these cases can be studied efficiently by means of Large Eddy Simulations, in which the…

High Energy Astrophysical Phenomena · Physics 2020-03-25 Federico Carrasco , Daniele Viganò , Carlos Palenzuela

Electrocorticography (ECoG) provides direct measurements of synchronized postsynaptic potentials at the exposed cortical surface. Patterns of signal covariance across ECoG sensors have been associated with diverse cognitive functions and…

Neurons and Cognition · Quantitative Biology 2017-06-20 Richard F. Betzel , John D. Medaglia , Ari E. Kahn , Jonathan Soffer , Daniel R. Schonhaut , Danielle S. Bassett

Artificial intelligence research to a great degree focuses on the brain and behaviors that the brain generates. But the brain, an extremely complex structure resulting from millions of years of evolution, can be viewed as a solution to…

Neurons and Cognition · Quantitative Biology 2017-03-07 Thomas E. Portegys

A mechanism for the localization of spatially periodic, self-organized patterns in anisotropic media which requires systems extended in all three spatial dimensions is presented: When the anisotropy axis is twisted the pattern becomes…

Pattern Formation and Solitons · Physics 2009-10-31 A. G. Rossberg

A central idea in understanding brains and building artificial intelligence is that structure determines function. Yet, how the brain's complex structure arises from a limited set of genetic instructions remains a key question. The ultra…

Neurons and Cognition · Quantitative Biology 2026-01-28 Xingyu Liu , Yubin Li , Guozhang Chen

In this paper, we propose a harmonized rotational gradient method, termed HRGrad, for simultaneously tackling multiscale time-dependent kinetic problems with varying small parameters. These parameters exhibit asymptotic transitions from…

Machine Learning · Computer Science 2026-04-28 Zhangyong Liang

The functioning of an organ such as the brain emerges from interactions between its constituent parts. Further, this interaction is not immutable in time but rather unfolds in a succession of patterns, thereby allowing the brain to adapt to…

Neurons and Cognition · Quantitative Biology 2021-06-02 Emmanuelle Tognoli , Daniela Benites , J. A. Scott Kelso

Recent studies on Neural Collapse (NC) reveal that, under class-balanced conditions, the class feature means and classifier weights spontaneously align into a simplex equiangular tight frame (ETF). In long-tailed regimes, however, severe…

Machine Learning · Computer Science 2025-12-10 Jinping Wang , Zhiqiang Gao , Zhiwu Xie