Topological characterization of dynamic chiral magnetic textures using machine learning
Tim Matthies, Alexander F. Sch\"affer, Thore Posske, Roland, Wiesendanger, Elena Y. Vedmedenko

TL;DR
This paper demonstrates that machine learning can accurately determine the topological charge of magnetic skyrmions from time-averaged data, aiding their detection in spintronic devices despite stochastic motion.
Contribution
The study introduces a neural network approach to reconstruct skyrmion topological numbers from smeared, time-integrated measurements, advancing skyrmion detection methods.
Findings
Neural networks successfully reconstruct skyrmion numbers from averaged data.
Topological charge can be recovered despite skyrmion stochastic motion.
Method enhances interpretation of experimental skyrmion measurements.
Abstract
Recently proposed spintronic devices use magnetic skyrmions as bits of information. The reliable detection of those chiral magnetic objects is an indispensable requirement. Yet, the high mobility of magnetic skyrmions leads to their stochastic motion at finite temperatures, which hinders the precise measurement of the topological numbers. Here, we demonstrate the successful training of artificial neural networks to reconstruct the skyrmion number in confined geometries from time-integrated, dimensionally reduced data. Our results prove the possibility to recover the topological charge from a time-averaged measurement and hence smeared dynamic skyrmion ensemble, which is of immediate relevance to the interpretation of experimental results, skyrmion-based computing, and memory concepts
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