Learning Efficient Navigation in Vortical Flow Fields
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Abstract (arXiv)
Efficient point-to-point navigation in the presence of a background flow field is important for robotic applications such as ocean surveying. In such applications, robots may only have knowledge of their immediate surroundings or be faced with time-varying currents, which limits the use of optimal control techniques for planning trajectories. Here, we apply a novel Reinforcement Learning algorithm to discover time-efficient navigation policies to steer a fixed-speed swimmer through an unsteady two-dimensional flow field. The algorithm entails inputting environmental cues into a deep neural network that determines the swimmer's actions, and deploying Remember and Forget Experience replay. We find that the resulting swimmers successfully exploit the background flow to reach the target, but that this success depends on the type of sensed environmental cue. Surprisingly, a velocity sensing approach outperformed a bio-mimetic vorticity sensing approach by nearly two-fold in success rate. Equipped with local velocity measurements, the reinforcement learning algorithm achieved near 100% success in reaching the target locations while approaching the time-efficiency of paths found by a global optimal control planner.
Key facts. Cited by 26 papers in the map (data through 14 Oct 2026). Builds on 8 of its 56 references that are in the map. First posted on arXiv 21 Feb 2021.
Builds on
8 of 56 references.
References · 8
- 2017Deep Reinforcement Learning that Matterscited by 754
- 2018Neural Lander: Stable Drone Landing Control using Learned Dynamicscited by 85
- 2018Efficient collective swimming by harnessing vortices through deep reinforcement learningcited by 73
- 2018Remember and Forget for Experience Replaycited by 43
- 2017Flow Navigation by Smart Microswimmers via Reinforcement Learningcited by 34
- 2019Zermelo's problem: Optimal point-to-point navigation in 2D turbulent flows using Reinforcement Learningcited by 21
- 2020GLAS: Global-to-Local Safe Autonomy Synthesis for Multi-Robot Motion Planning with End-to-End Learningcited by 21
- 2020Learning to swim in potential flowcited by 6
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Citing papers per year: 2022: 2; 2023: 7; 2024: 6; 2025: 7; 2026: 4.
26 papers.
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- 2023The transformative potential of machine learning for experiments in fluid mechanicscited by 27
- 2023Leveraging arbitrary mobile sensor trajectories with shallow recurrent decoder networks for full-state reconstructioncited by 12
- 2023A Platform-Agnostic Deep Reinforcement Learning Framework for Effective Sim2Real Transfer towards Autonomous Drivingcited by 7
- 2024Navigation in a simplified Urban Flow through Deep Reinforcement Learningcited by 5
- 2025HypeRL: Hypernetwork-Based Reinforcement Learning for Control of Parametrized Dynamical Systemscited by 3
- 2023Discovering Individual Rewards in Collective Behavior through Inverse Multi-Agent Reinforcement Learningcited by 2
- 2024Training microrobots to swim by a large language modelcited by 2
- 2024Physics-Guided Actor-Critic Reinforcement Learning for Swimming in Turbulencecited by 2
- 2022Chemotaxis of sea urchin sperm cells through deep reinforcement learningcited by 1
- 2022Learning to swim efficiently in a nonuniform flow fieldcited by 1
- 2023A reinforcement learning path planning approach for range-only underwater target localization with autonomous vehiclescited by 1
- 2023Deep-learning-powered data analysis in plankton ecologycited by 1
14 more
- 2024Deep Dive into Model-free Reinforcement Learning for Biological and Robotic Systems: Theory and Practicecited by 1
- 2024Multi-modal Policies with Physics-informed Representations in Complex Fluid Environmentscited by 1
- 2023Maximizing Seaweed Growth on Autonomous Farms: A Dynamic Programming Approach for Underactuated Systems Navigating on Uncertain Ocean Currentscited by 0
- 2024Mixing Artificial and Natural Intelligence: From Statistical Mechanics to AI and Back to Turbulencecited by 0
- 2025A critical assessment of reinforcement learning methods for microswimmer navigation in complex flowscited by 0
- 2025Controlling Topological Defects in Polar Fluids via Reinforcement Learningcited by 0
- 2025Smart navigation of a gravity-driven glider with adjustable centre-of-masscited by 0
- 2025Navigation in a Three-Dimensional Urban Flow using Deep Reinforcement Learningcited by 0
- 2025How do trout regulate patterns of muscle contraction to optimize propulsive efficiency during steady swimmingcited by 0
- 2025Khalasi: Energy-Efficient Navigation for Surface Vehicles in Vortical Flow Fieldscited by 0
- 2026Emergence of a Flow-Assisted Casting Strategy for Olfactory Navigation via Memory-Augmented Reinforcement Learningcited by 0
- 2026Multi-agent rendezvous in fluid flows via reinforcement learningcited by 0
- 2026Flow-aware Optimal Navigation in Unsteady Flows through Reinforcement Learningcited by 0
- 2026HypEMBER: Hypernetwork-based Ensemble for Robust Policy Learning of Parametrized Dynamical Systemscited by 0
- 2026HypEMBER: Hypernetwork-based Ensemble for Robust Policy Learning of Parametrized Dynamical Systems21 Jul 2026
- 2026Flow-aware Optimal Navigation in Unsteady Flows through Reinforcement Learning15 Jul 2026
- 2026Multi-agent rendezvous in fluid flows via reinforcement learning9 Jun 2026
- 2026Emergence of a Flow-Assisted Casting Strategy for Olfactory Navigation via Memory-Augmented Reinforcement Learning16 May 2026
- 2025Khalasi: Energy-Efficient Navigation for Surface Vehicles in Vortical Flow Fields7 Dec 2025
- 2025How do trout regulate patterns of muscle contraction to optimize propulsive efficiency during steady swimming1 Dec 2025
- 2025Navigation in a Three-Dimensional Urban Flow using Deep Reinforcement Learning29 Oct 2025
- 2025Smart navigation of a gravity-driven glider with adjustable centre-of-mass10 Oct 2025
- 2025Controlling Topological Defects in Polar Fluids via Reinforcement Learning25 Jul 2025
- 2025A critical assessment of reinforcement learning methods for microswimmer navigation in complex flows8 May 2025
- 2025HypeRL: Hypernetwork-Based Reinforcement Learning for Control of Parametrized Dynamical Systems8 Jan 2025
- 2024Multi-modal Policies with Physics-informed Representations in Complex Fluid Environments20 Oct 2024
14 more
- 2024Navigation in a simplified Urban Flow through Deep Reinforcement Learning26 Sep 2024
- 2024Physics-Guided Actor-Critic Reinforcement Learning for Swimming in Turbulence5 Jun 2024
- 2024Deep Dive into Model-free Reinforcement Learning for Biological and Robotic Systems: Theory and Practice19 May 2024
- 2024Mixing Artificial and Natural Intelligence: From Statistical Mechanics to AI and Back to Turbulence26 Mar 2024
- 2024Training microrobots to swim by a large language model21 Jan 2024
- 2023Deep-learning-powered data analysis in plankton ecology15 Sep 2023
- 2023Leveraging arbitrary mobile sensor trajectories with shallow recurrent decoder networks for full-state reconstruction20 Jul 2023
- 2023Maximizing Seaweed Growth on Autonomous Farms: A Dynamic Programming Approach for Underactuated Systems Navigating on Uncertain Ocean Currents4 Jul 2023
- 2023Discovering Individual Rewards in Collective Behavior through Inverse Multi-Agent Reinforcement Learning17 May 2023
- 2023A Platform-Agnostic Deep Reinforcement Learning Framework for Effective Sim2Real Transfer towards Autonomous Driving14 Apr 2023
- 2023The transformative potential of machine learning for experiments in fluid mechanics28 Mar 2023
- 2023A reinforcement learning path planning approach for range-only underwater target localization with autonomous vehicles17 Jan 2023
- 2022Learning to swim efficiently in a nonuniform flow field22 Dec 2022
- 2022Chemotaxis of sea urchin sperm cells through deep reinforcement learning2 Aug 2022
- 2024Navigation in a simplified Urban Flow through Deep Reinforcement Learningcited by 5
- 2025HypeRL: Hypernetwork-Based Reinforcement Learning for Control of Parametrized Dynamical Systemscited by 3
- 2024Physics-Guided Actor-Critic Reinforcement Learning for Swimming in Turbulencecited by 2
- 2024Deep Dive into Model-free Reinforcement Learning for Biological and Robotic Systems: Theory and Practicecited by 1
- 2025A critical assessment of reinforcement learning methods for microswimmer navigation in complex flowscited by 0
- 2025Navigation in a Three-Dimensional Urban Flow using Deep Reinforcement Learningcited by 0
- 2025Khalasi: Energy-Efficient Navigation for Surface Vehicles in Vortical Flow Fieldscited by 0
- 2026Emergence of a Flow-Assisted Casting Strategy for Olfactory Navigation via Memory-Augmented Reinforcement Learningcited by 0
- 2026Flow-aware Optimal Navigation in Unsteady Flows through Reinforcement Learningcited by 0
- 2026HypEMBER: Hypernetwork-based Ensemble for Robust Policy Learning of Parametrized Dynamical Systemscited by 0
- 2026HypEMBER: Hypernetwork-based Ensemble for Robust Policy Learning of Parametrized Dynamical Systems21 Jul 2026
- 2026Flow-aware Optimal Navigation in Unsteady Flows through Reinforcement Learning15 Jul 2026
- 2026Emergence of a Flow-Assisted Casting Strategy for Olfactory Navigation via Memory-Augmented Reinforcement Learning16 May 2026
- 2025Khalasi: Energy-Efficient Navigation for Surface Vehicles in Vortical Flow Fields7 Dec 2025
- 2025Navigation in a Three-Dimensional Urban Flow using Deep Reinforcement Learning29 Oct 2025
- 2025A critical assessment of reinforcement learning methods for microswimmer navigation in complex flows8 May 2025
- 2025HypeRL: Hypernetwork-Based Reinforcement Learning for Control of Parametrized Dynamical Systems8 Jan 2025
- 2024Navigation in a simplified Urban Flow through Deep Reinforcement Learning26 Sep 2024
- 2024Physics-Guided Actor-Critic Reinforcement Learning for Swimming in Turbulence5 Jun 2024
- 2024Deep Dive into Model-free Reinforcement Learning for Biological and Robotic Systems: Theory and Practice19 May 2024
- 2023The transformative potential of machine learning for experiments in fluid mechanicscited by 27
- 2023Leveraging arbitrary mobile sensor trajectories with shallow recurrent decoder networks for full-state reconstructioncited by 12
- 2023Discovering Individual Rewards in Collective Behavior through Inverse Multi-Agent Reinforcement Learningcited by 2
- 2024Training microrobots to swim by a large language modelcited by 2
- 2022Chemotaxis of sea urchin sperm cells through deep reinforcement learningcited by 1
- 2022Learning to swim efficiently in a nonuniform flow fieldcited by 1
- 2023A reinforcement learning path planning approach for range-only underwater target localization with autonomous vehiclescited by 1
- 2023Deep-learning-powered data analysis in plankton ecologycited by 1
- 2024Multi-modal Policies with Physics-informed Representations in Complex Fluid Environmentscited by 1
- 2023Maximizing Seaweed Growth on Autonomous Farms: A Dynamic Programming Approach for Underactuated Systems Navigating on Uncertain Ocean Currentscited by 0
- 2025Controlling Topological Defects in Polar Fluids via Reinforcement Learningcited by 0
- 2025Smart navigation of a gravity-driven glider with adjustable centre-of-masscited by 0
12 most cited of 14 All 14 (JSON)
- 2026Multi-agent rendezvous in fluid flows via reinforcement learning9 Jun 2026
- 2025How do trout regulate patterns of muscle contraction to optimize propulsive efficiency during steady swimming1 Dec 2025
- 2025Smart navigation of a gravity-driven glider with adjustable centre-of-mass10 Oct 2025
- 2025Controlling Topological Defects in Polar Fluids via Reinforcement Learning25 Jul 2025
- 2024Multi-modal Policies with Physics-informed Representations in Complex Fluid Environments20 Oct 2024
- 2024Training microrobots to swim by a large language model21 Jan 2024
- 2023Deep-learning-powered data analysis in plankton ecology15 Sep 2023
- 2023Leveraging arbitrary mobile sensor trajectories with shallow recurrent decoder networks for full-state reconstruction20 Jul 2023
- 2023Maximizing Seaweed Growth on Autonomous Farms: A Dynamic Programming Approach for Underactuated Systems Navigating on Uncertain Ocean Currents4 Jul 2023
- 2023Discovering Individual Rewards in Collective Behavior through Inverse Multi-Agent Reinforcement Learning17 May 2023
- 2023The transformative potential of machine learning for experiments in fluid mechanics28 Mar 2023
- 2023A reinforcement learning path planning approach for range-only underwater target localization with autonomous vehicles17 Jan 2023
12 newest of 14 All 14 (JSON)