Safe and Efficient Social Navigation through Explainable Safety Regions Based on Topological Features

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Hauptverfasser: Toscano-Duran, Victor, Narteni, Sara, Carlevaro, Alberto, Gonzalez-Diaz, Jérôme Guzzi Rocio, Mongelli, Maurizio
Format: Preprint
Veröffentlicht: 2025
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author Toscano-Duran, Victor
Narteni, Sara
Carlevaro, Alberto
Gonzalez-Diaz, Jérôme Guzzi Rocio
Mongelli, Maurizio
author_facet Toscano-Duran, Victor
Narteni, Sara
Carlevaro, Alberto
Gonzalez-Diaz, Jérôme Guzzi Rocio
Mongelli, Maurizio
contents The recent adoption of artificial intelligence in robotics has driven the development of algorithms that enable autonomous systems to adapt to complex social environments. In particular, safe and efficient social navigation is a key challenge, requiring AI not only to avoid collisions and deadlocks but also to interact intuitively and predictably with its surroundings. Methods based on probabilistic models and the generation of conformal safety regions have shown promising results in defining safety regions with a controlled margin of error, primarily relying on classification approaches and explicit rules to describe collision-free navigation conditions. This work extends the existing perspective by investigating how topological features can contribute to the creation of explainable safety regions in social navigation scenarios, enabling the classification and characterization of different simulation behaviors. Rather than relying on behaviors parameters to generate safety regions, we leverage topological features through topological data analysis. We first utilize global rule-based classification to provide interpretable characterizations of different simulation behaviors, distinguishing between safe and unsafe scenarios based on topological properties. Next, we define safety regions, $S_\varepsilon$, representing zones in the topological feature space where collisions are avoided with a maximum classification error of $\varepsilon$. These regions are constructed using adjustable SVM classifiers and order statistics, ensuring a robust and scalable decision boundary. Our approach initially separates simulations with and without collisions, outperforming methods that not incorporate topological features. We further refine safety regions to ensure deadlock-free simulations and integrate both aspects to define a compliant simulation space that guarantees safe and efficient navigation.
format Preprint
id arxiv_https___arxiv_org_abs_2503_16441
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Safe and Efficient Social Navigation through Explainable Safety Regions Based on Topological Features
Toscano-Duran, Victor
Narteni, Sara
Carlevaro, Alberto
Gonzalez-Diaz, Jérôme Guzzi Rocio
Mongelli, Maurizio
Robotics
Artificial Intelligence
General Topology
The recent adoption of artificial intelligence in robotics has driven the development of algorithms that enable autonomous systems to adapt to complex social environments. In particular, safe and efficient social navigation is a key challenge, requiring AI not only to avoid collisions and deadlocks but also to interact intuitively and predictably with its surroundings. Methods based on probabilistic models and the generation of conformal safety regions have shown promising results in defining safety regions with a controlled margin of error, primarily relying on classification approaches and explicit rules to describe collision-free navigation conditions. This work extends the existing perspective by investigating how topological features can contribute to the creation of explainable safety regions in social navigation scenarios, enabling the classification and characterization of different simulation behaviors. Rather than relying on behaviors parameters to generate safety regions, we leverage topological features through topological data analysis. We first utilize global rule-based classification to provide interpretable characterizations of different simulation behaviors, distinguishing between safe and unsafe scenarios based on topological properties. Next, we define safety regions, $S_\varepsilon$, representing zones in the topological feature space where collisions are avoided with a maximum classification error of $\varepsilon$. These regions are constructed using adjustable SVM classifiers and order statistics, ensuring a robust and scalable decision boundary. Our approach initially separates simulations with and without collisions, outperforming methods that not incorporate topological features. We further refine safety regions to ensure deadlock-free simulations and integrate both aspects to define a compliant simulation space that guarantees safe and efficient navigation.
title Safe and Efficient Social Navigation through Explainable Safety Regions Based on Topological Features
topic Robotics
Artificial Intelligence
General Topology
url https://arxiv.org/abs/2503.16441