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As a vital cognitive function of animals, the navigation skill is first built on the accurate perception of the directional heading in the environment. Head direction cells (HDCs), found in the limbic system of animals, are proven to play…

Neural and Evolutionary Computing · Computer Science 2021-09-23 Zhenshan Bing , Amir EI Sewisy , Genghang Zhuang , Florian Walter , Fabrice O. Morin , Kai Huang , Alois Knoll

The path integral formulation of constrained systems leads to obtain the equations of motion as total differential equations in many variables. If these equations are integrable then one can constuct a valid and a canonical phase space…

Mathematical Physics · Physics 2007-05-23 Sami I. Muslih

Path planning of Robot is one of the challenging fields in the area of Robotics research. In this paper, we proposed a novel algorithm to find path between starting and ending position for an intelligent system. An intelligent system is…

Robotics · Computer Science 2013-06-21 Tirtharaj Dash , Goutam Mishra , Tanistha Nayak

Insects have long been recognized for their ability to navigate and return home using visual cues from their nest's environment. However, the precise mechanism underlying this remarkable homing skill remains a subject of ongoing…

Robotics · Computer Science 2024-05-08 Michiel Firlefyn , Jesse Hagenaars , Guido de Croon

The ability to update a path plan is a required capability for autonomous mobile robots navigating through uncertain environments. This paper proposes a re-planning strategy using a multilayer planning and control framework for cases where…

Systems and Control · Electrical Eng. & Systems 2025-07-28 Joshua A. Robbins , Stephen J. Harnett , Andrew F. Thompson , Sean Brennan , Herschel C. Pangborn

We focus on connectivity methods used to understand and predict how landscapes and habitats facilitate or impede the movement and dispersal of species. Our objective is to compare the implication of methodological choices at three stages of…

Quantitative Methods · Quantitative Biology 2024-07-16 Marie Soret , Sylvain Moulherat , Maxime Lenormand , Sandra Luque

The neuronal networks in the mammals cortex are characterized by the coexistence of hierarchy, modularity, short and long range interactions, spatial correlations, and topographical connections. Particularly interesting, the latter type of…

Disordered Systems and Neural Networks · Physics 2009-11-10 Luciano da F. Costa , Luis Diambra

Biological organisms exhibit diverse strategies for adapting to varying environments. For example, a population of organisms may express the same phenotype in all environments (`unvarying strategy'), or follow environmental cues and express…

Populations and Evolution · Quantitative Biology 2022-06-08 BingKan Xue , Pablo Sartori , Stanislas Leibler

Traditional path-planning techniques treat humans as obstacles. This has changed since robots started to enter human environments. On modern robots, social navigation has become an important aspect of navigation systems. To use…

Robotics · Computer Science 2024-04-18 Yigit Yildirim , Emre Ugur

We consider the problem of optimal path planning in different homotopy classes in a given environment. Though important in robotics applications, path-planning with reasoning about homotopy classes of trajectories has typically focused on…

Robotics · Computer Science 2017-10-10 Subhrajit Bhattacharya , Robert Ghrist

In this paper, we introduce a novel method to capture visual trajectories for navigating an indoor robot in dynamic settings using streaming image data. First, an image processing pipeline is proposed to accurately segment trajectories from…

Robotics · Computer Science 2020-01-13 Aditya Rajguru , Christopher Collander , William J. Beksi

As the demands of autonomous mobile robots are increasing in recent years, the requirement of the path planning/navigation algorithm should not be content with the ability to reach the target without any collisions, but also should try to…

Robotics · Computer Science 2021-10-05 Jian Zhang

How do large language models solve spatial navigation tasks? We investigate this by training GPT-2 models on three spatial learning paradigms in grid environments: passive exploration (Foraging Model- predicting steps in random walks),…

Artificial Intelligence · Computer Science 2025-11-18 Caroline Baumgartner , Eleanor Spens , Neil Burgess , Petru Manescu

Grid cells in medial entorhinal cortex are believed to play a key role in path integration. However, the relation between path integration and the grid-like arrangement of their firing field remains unclear. We provide theoretical evidence…

Neural and Evolutionary Computing · Computer Science 2016-06-06 Reza Moazzezi

Collective coordinates are frequently employed in path integrals to manage divergences caused by fluctuations around saddle points that align with classical symmetries. These coordinates parameterize a manifold of zero modes and more…

High Energy Physics - Theory · Physics 2024-03-01 Arindam Bhattacharya , Jordan Cotler , Aurélien Dersy , Matthew D. Schwartz

In this article we investigate the topological changes undergone by trajectory networks as a consequence of progressive geographical infiltration. Trajectory networks, a type of knitted network, are obtained by establishing paths between…

Discrete Mathematics · Computer Science 2008-04-21 Luciano da Fontoura Costa

Navigation and guidance of autonomous vehicles is a fundamental problem in robotics, which has attracted intensive research in recent decades. This report is mainly concerned with provable collision avoidance of multiple autonomous vehicles…

Optimization and Control · Mathematics 2014-01-28 Michael Hoy

How do pedestrians choose their paths within city street networks? Researchers have tried to shed light on this matter through strictly controlled experiments, but an ultimate answer based on real-world mobility data is still lacking. Here,…

Neurons and Cognition · Quantitative Biology 2021-10-26 Christian Bongiorno , Yulun Zhou , Marta Kryven , David Theurel , Alessandro Rizzo , Paolo Santi , Joshua Tenenbaum , Carlo Ratti

This works presents a formulation for visual navigation that unifies map based spatial reasoning and path planning, with landmark based robust plan execution in noisy environments. Our proposed formulation is learned from data and is thus…

Computer Vision and Pattern Recognition · Computer Science 2017-12-22 Saurabh Gupta , David Fouhey , Sergey Levine , Jitendra Malik

It is essential in many applications to impose a scalable coordinated motion control on a large group of mobile robots, which is efficient in tasks requiring repetitive execution, such as environmental monitoring. In this paper, we design a…

Robotics · Computer Science 2021-04-12 Weijia Yao , Hector Garcia de Marina , Zhiyong Sun , Ming Cao