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Embodied navigation is a fundamental capability of embodied intelligence, enabling robots to move and interact within physical environments. However, existing navigation tasks primarily focus on predefined object navigation or instruction…

Understanding and mapping a new environment are core abilities of any autonomously navigating agent. While classical robotics usually estimates maps in a stand-alone manner with SLAM variants, which maintain a topological or metric…

Computer Vision and Pattern Recognition · Computer Science 2023-09-28 Pierre Marza , Laetitia Matignon , Olivier Simonin , Christian Wolf

Humans construct internal cognitive maps of their environment directly from sensory inputs without access to a system of explicit coordinates or distance measurements. While machine learning algorithms like SLAM utilize specialized visual…

Neurons and Cognition · Quantitative Biology 2024-04-19 James Gornet , Matthew Thomson

Uniform and variable environments still remain a challenge for stable visual localization and mapping in mobile robot navigation. One of the possible approaches suitable for such environments is appearance-based teach-and-repeat navigation,…

Robotics · Computer Science 2025-03-18 Václav Truhlařík , Tomáš Pivoňka , Michal Kasarda , Libor Přeučil

For connected reductive linear algebraic structure groups it is proven that every web is holonomically isolated. The possible tuples of parallel transports in a web form a Lie subgroup of the corresponding power of the structure group. This…

Mathematical Physics · Physics 2007-05-23 Christian Fleischhack

Universal memcomputing machines (UMMs) [IEEE Trans. Neural Netw. Learn. Syst. 26, 2702 (2015)] represent a novel computational model in which memory (time non-locality) accomplishes both tasks of storing and processing of information. UMMs…

Neural and Evolutionary Computing · Computer Science 2019-05-29 Yan Ru Pei , Fabio L. Traversa , Massimiliano Di Ventra

In this article, we propose a novel navigation framework that leverages a two layered graph representation of the environment for efficient large-scale exploration, while it integrates a novel uncertainty awareness scheme to handle dynamic…

Robotics · Computer Science 2024-02-07 Akash Patel , Mario A V Saucedo , Christoforos Kanellakis , George Nikolakopoulos

We consider graph Turing machines, a model of parallel computation on a graph, in which each vertex is only capable of performing one of a finite number of operations. This model of computation is a natural generalization of several…

Logic · Mathematics 2017-03-29 Nathanael Ackerman , Cameron Freer

With the fast and unstoppable evolution of robotics and artificial intelligence, effective autonomous navigation in real-world scenarios has become one of the most pressing challenges in the literature. However, demanding requirements, such…

Robotics · Computer Science 2024-07-11 A. Novo , F. Lobon , H. G. De Marina , S. Romero , F. Barranco

Spatial cognition enables adaptive goal-directed behavior by constructing internal models of space. Robust biological systems consolidate spatial knowledge into three interconnected forms: \textit{landmarks} for salient cues, \textit{route…

Artificial Intelligence · Computer Science 2025-08-26 Shouwei Ruan , Liyuan Wang , Caixin Kang , Qihui Zhu , Songming Liu , Xingxing Wei , Hang Su

Learning to compute, the ability to model the functional behavior of a circuit graph, is a fundamental challenge for graph representation learning. Yet, the dominant paradigm is architecturally mismatched for this task. This flawed…

Artificial Intelligence · Computer Science 2026-02-10 Ziyang Zheng , Jiaying Zhu , Jingyi Zhou , Qiang Xu

Visual robot navigation within large-scale, semi-structured environments deals with various challenges such as computation intensive path planning algorithms or insufficient knowledge about traversable spaces. Moreover, many…

Robotics · Computer Science 2018-03-12 Fabian Blöchliger , Marius Fehr , Marcin Dymczyk , Thomas Schneider , Roland Siegwart

A cognitive map is an internal model which encodes the abstract relationships among entities in the world, giving humans and animals the flexibility to adapt to new situations, with a strong out-of-distribution (OOD) generalization that…

Machine Learning · Computer Science 2026-05-12 Victor Rambaud , Salvador Mascarenhas , Yair Lakretz

Navigation is an essential ability for mobile agents to be completely autonomous and able to perform complex actions. However, the problem of navigation for agents with limited (or no) perception of the world, or devoid of a fully defined…

Robotics · Computer Science 2020-11-30 Danilo Perico , Paulo E. Santos , Reinaldo Bianchi

Accurate and robust global localization is essential to robotics applications. We propose a novel global localization method that employs the map traversability as a hidden observation. The resulting map-corrected odometry localization is…

Robotics · Computer Science 2019-10-02 Cheng Peng , David Weikersdorfer

We present AMCO, a novel navigation method for quadruped robots that adaptively combines vision-based and proprioception-based perception capabilities. Our approach uses three cost maps: general knowledge map; traversability history map;…

Inspired by Christopher Alexanders conception of the world - space is not lifeless or neutral but a living structure involving far more small things than large ones a topological representation has been previously developed to characterize…

Physics and Society · Physics 2020-09-04 Bin Jiang , Zheng Ren

We focus on the utilisation of reactive trajectory imitation controllers for goal-directed mobile robot navigation. We propose a topological navigation graph (TNG) - an imitation-learning-based framework for navigating through environments…

Robotics · Computer Science 2021-05-17 Povilas Daniusis , Shubham Juneja , Lukas Valatka , Linas Petkevicius

We suggest a universal map capable to recover a behavior of a wide range of dynamical systems given by ODEs. The map is built as an artificial neural network whose weights encode a modeled system. We assume that ODEs are known and prepare…

Disordered Systems and Neural Networks · Physics 2023-05-02 Pavel V. Kuptsov , Anna V. Kuptsova , Nataliya V. Stankevich

Typical end-to-end formulations for learning robotic navigation involve predicting a small set of steering command actions (e.g., step forward, turn left, turn right, etc.) from images of the current state (e.g., a bird's-eye view of a SLAM…

Robotics · Computer Science 2020-10-13 Jimmy Wu , Xingyuan Sun , Andy Zeng , Shuran Song , Johnny Lee , Szymon Rusinkiewicz , Thomas Funkhouser
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