Benchmarking Safe Deep Reinforcement Learning in Aquatic Navigation
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Abstract (arXiv)
We propose a novel benchmark environment for Safe Reinforcement Learning focusing on aquatic navigation. Aquatic navigation is an extremely challenging task due to the non-stationary environment and the uncertainties of the robotic platform, hence it is crucial to consider the safety aspect of the problem, by analyzing the behavior of the trained network to avoid dangerous situations (e.g., collisions). To this end, we consider a value-based and policy-gradient Deep Reinforcement Learning (DRL) and we propose a crossover-based strategy that combines gradient-based and gradient-free DRL to improve sample-efficiency. Moreover, we propose a verification strategy based on interval analysis that checks the behavior of the trained models over a set of desired properties. Our results show that the crossover-based training outperforms prior DRL approaches, while our verification allows us to quantify the number of configurations that violate the behaviors that are described by the properties. Crucially, this will serve as a benchmark for future research in this domain of applications.
Key facts. Cited by 10 papers in the map (data through 7 Oct 2026). Builds on 12 of its 31 references that are in the map. First posted on arXiv 16 Dec 2021.
Builds on
12 of 31 references.
References · 12
- 2017Proximal Policy Optimization Algorithmscited by 14,441
- 2016OpenAI Gymcited by 1,684
- 2015Prioritized Experience Replaycited by 1,070
- 2017Deep Reinforcement Learning that Matterscited by 727
- 2019Algorithms for Verifying Deep Neural Networkscited by 221
- 2018Efficient Formal Safety Analysis of Neural Networkscited by 165
- 2017Output Reachable Set Estimation and Verification for Multi-Layer Neural Networkscited by 79
- 2016Deep Reinforcement Learning with Successor Features for Navigation across Similar Environmentscited by 50
- 2019Proximal Distilled Evolutionary Reinforcement Learningcited by 24
- 2017Reachable Set Computation and Safety Verification for Neural Networks with ReLU Activationscited by 22
- 2018A Survey of Safety and Trustworthiness of Deep Neural Networks: Verification, Testing, Adversarial Attack and Defence, and Interpretabilitycited by 8
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Built on by
Citing papers per year: 2022: 2; 2023: 5; 2024: 2; 2025: 1.
10 papers.
- 2023Motion Planning for Autonomous Driving: The State of the Art and Future Perspectivescited by 112
- 2022Verifying Learning-Based Robotic Navigation Systemscited by 33
- 2023The #DNN-Verification Problem: Counting Unsafe Inputs for Deep Neural Networkscited by 19
- 2022Constrained Reinforcement Learning for Robotics via Scenario-Based Programmingcited by 11
- 2023Safe Deep Reinforcement Learning by Verifying Task-Level Propertiescited by 9
- 2023Online Safety Property Collection and Refinement for Safe Deep Reinforcement Learning in Mapless Navigationcited by 7
- 2023Improving Deep Policy Gradients with Value Function Searchcited by 7
- 2024Analyzing Adversarial Inputs in Deep Reinforcement Learningcited by 7
- 2024Aquatic Navigation: A Challenging Benchmark for Deep Reinforcement Learningcited by 1
- 2025Semi-gradient DICE for Offline Constrained Reinforcement Learningcited by 1
- 2025Semi-gradient DICE for Offline Constrained Reinforcement Learning10 Jun 2025
- 2024Aquatic Navigation: A Challenging Benchmark for Deep Reinforcement Learning30 May 2024
- 2024Analyzing Adversarial Inputs in Deep Reinforcement Learning7 Feb 2024
- 2023Motion Planning for Autonomous Driving: The State of the Art and Future Perspectives17 Mar 2023
- 2023Improving Deep Policy Gradients with Value Function Search20 Feb 2023
- 2023Safe Deep Reinforcement Learning by Verifying Task-Level Properties20 Feb 2023
- 2023Online Safety Property Collection and Refinement for Safe Deep Reinforcement Learning in Mapless Navigation13 Feb 2023
- 2023The #DNN-Verification Problem: Counting Unsafe Inputs for Deep Neural Networks17 Jan 2023
- 2022Constrained Reinforcement Learning for Robotics via Scenario-Based Programming20 Jun 2022
- 2022Verifying Learning-Based Robotic Navigation Systems26 May 2022