Artificial microswimmers that can replicate the complex behavior of active matter are often designed to mimic the self-propulsion of microscopic living organisms. However, compared with their living counterparts, artificial microswimmers have a limited ability to adapt to environmental signals or to retain a physical memory to yield optimized emergent behavior. Different from macroscopic living systems and robots, both microscopic living organisms and artificial microswimmers are subject to Brownian motion, which randomizes their position and propulsion direction. Here, we combine real-world artificial active particles with machine learning algorithms to explore their adaptive behavior in a noisy environment with reinforcement learning. We use a real-time control of self-thermophoretic active particles to demonstrate the solution of a simple standard navigation problem under the inevitable influence of Brownian motion at these length scales. We show that, with external control, collective learning is possible. Concerning the learning under noise, we find that noise decreases the learning speed, modifies the optimal behavior, and also increases the strength of the decisions made. As a consequence of time delay in the feedback loop controlling the particles, an optimum velocity, reminiscent of optimal run-and-tumble times of bacteria, is found for the system, which is conjectured to be a universal property of systems exhibiting delayed response in a noisy environment.

AIMEN Technology Centre Smart Systems and Smart Manufacturing Artificial Intelligence and Data Analytics Laboratory PI Cataboi 36418 Pontevedra Spain

Department of Macromolecular Physics Faculty of Mathematics and Physics Charles University 18000 Prague Czech Republic

Institute for Theoretical Physics Universität Leipzig 04103 Leipzig Germany

Molecular Nanophotonics Group Peter Debye Institute for Soft Matter Physics Universität Leipzig 04103 Leipzig Germany

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