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Related papers: Place Cells as Multi-Scale Position Embeddings: Ra…

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Network embedding which encodes all vertices in a network as a set of numerical vectors in accordance with it's local and global structures, has drawn widespread attention. Network embedding not only learns significant features of a…

Physics and Society · Physics 2017-04-20 Weiwei Gu , Li Gong , Xiandao Lou , Jiang Zhang

The migration of cells is relevant for processes such as morphogenesis, wound healing, and invasion of cancer cells. In order to move, single cells deform cyclically. However, it is not understood how these shape oscillations influence…

Biological Physics · Physics 2019-09-04 Matteo Campo , Simon K. Schnyder , John J. Molina , Thomas Speck , Ryoichi Yamamoto

Nowadays, multiscale modelling is recognized as the most suitable way to study biological processes. Indeed, almost every phenomenon in nature exhibits a multiscale behaviour, i.e., it is the outcome of interactions that occur at different…

Formal Languages and Automata Theory · Computer Science 2011-08-18 Federico Buti , Massimo Callisto De Donato , Flavio Corradini , Emanuela Merelli , Luca Tesei

Representing token embeddings as probability distributions over learned manifolds allows for more flexible contextual inference, reducing representational rigidity while enhancing semantic granularity. Comparative evaluations demonstrate…

Computation and Language · Computer Science 2025-04-25 Christopher Nightingale , Dominic Lavington , Jonathan Thistlethwaite , Sebastian Penhaligon , Thomas Belinski , David Boldo

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

Pyramidal cells that emit spikes when the animal is at specific locations of the environment are known as "place cells": these neurons are thought to provide an internal representation of space via "cognitive maps". Here, we consider the…

Disordered Systems and Neural Networks · Physics 2024-08-27 Martino Salomone Centonze , Alessandro Treves , Elena Agliari , Adriano Barra

Rodent hippocampal population codes represent important spatial information about the environment during navigation. Several computational methods have been developed to uncover the neural representation of spatial topology embedded in…

Machine Learning · Statistics 2014-12-01 Scott W. Linderman , Matthew J. Johnson , Matthew A. Wilson , Zhe Chen

Random walks can reveal communities or clusters in networks, because they are more likely to stay within a cluster than leave it. Thus, one family of community detection algorithms uses random walks to measure distance between pairs of…

Disordered Systems and Neural Networks · Physics 2023-08-11 Eric Chalmers , Artur Luczak

Codifying memories is one of the fundamental problems of modern Neuroscience. The functional mechanisms behind this phenomenon remain largely unknown. Experimental evidence suggests that some of the memory functions are performed by…

Neurons and Cognition · Quantitative Biology 2022-05-17 Ivan Y. Tyukin , Alexander N. Gorban , Carlos Calvo , Julia Makarova , Valeri A. Makarov

The temporal activity of many biological systems, including neural circuits, exhibits fluctuations simultaneously varying over a large range of timescales. The mechanisms leading to this temporal heterogeneity are yet unknown. Here we show…

Disordered Systems and Neural Networks · Physics 2022-08-03 Merav Stern , Nicolae Istrate , Luca Mazzucato

Human migration and mobility drives major societal phenomena including epidemics, economies, innovation, and the diffusion of ideas. Although human mobility and migration have been heavily constrained by geographic distance throughout the…

Machine Learning · Computer Science 2024-02-06 Dakota Murray , Jisung Yoon , Sadamori Kojaku , Rodrigo Costas , Woo-Sung Jung , Staša Milojević , Yong-Yeol Ahn

How does the brain predict physical outcomes while acting in the world? Machine learning world models compress visual input into latent spaces, discarding the spatial structure that characterizes sensory cortex. We propose isomorphic world…

Neurons and Cognition · Quantitative Biology 2026-02-24 Joshua Nunley

We propose PALPS, a Process Algebra with Locations for Population Systems. PALPS allows us to produce spatially-explicit, individual-based models and to reason about their behavior. Our calculus has two levels: at the first level we may…

Logic in Computer Science · Computer Science 2012-11-20 Margarita Antonaki , Anna Philippou

Mobile robots require comprehensive scene understanding to operate effectively in diverse environments, enriched with contextual information such as layouts, objects, and their relationships. Although advances like neural radiation fields…

Robotics · Computer Science 2024-12-30 Jiawei Hou , Wenhao Guan , Longfei Liang , Jianfeng Feng , Xiangyang Xue , Taiping Zeng

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

Numerous biological approaches are available to characterise the mechanisms which govern the formation of human embryonic stem cell (hESC) colonies. To understand how the kinematics of single and pairs of hESCs impact colony formation, we…

Quantitative Methods · Quantitative Biology 2018-01-08 L. E. Wadkin , L. F. Elliot , I. Neganova , N. G. Parker , V. Chichagova , G. Swan , A. Laude , M. Lako , A. Shukurov

Robots are required to not only learn spatial concepts autonomously but also utilize such knowledge for various tasks in a domestic environment. Spatial concept represents a multimodal place category acquired from the robot's spatial…

Robotics · Computer Science 2020-09-22 Akira Taniguchi , Yoshinobu Hagiwara , Tadahiro Taniguchi , Tetsunari Inamura

Can neural networks learn goal-directed behaviour using similar strategies to the brain, by combining the relationships between the current state of the organism and the consequences of future actions? Recent work has shown that recurrent…

Neurons and Cognition · Quantitative Biology 2021-01-21 Justin Jude , Matthias H. Hennig

Temporal knowledge graphs represent temporal facts $(s,p,o,\tau)$ relating a subject $s$ and an object $o$ via a relation label $p$ at time $\tau$, where $\tau$ could be a time point or time interval. Temporal knowledge graphs may exhibit…

Artificial Intelligence · Computer Science 2023-12-27 Jiaxin Pan , Mojtaba Nayyeri , Yinan Li , Steffen Staab

In this study, we propose using a neural embedding model-graph neural network (GNN)- that leverages the heterogeneous features of urban areas and their interactions captured by human mobility network to obtain vector representations of…

Physics and Society · Physics 2021-10-26 Chao Fan , Yang Yang , Ali Mostafavi