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Unsupervised learning of topological phase transitions using the Calinski-Harabaz index

Jielin Wang, Wanzhou Zhang, Tian Hua, Tzu-Chieh Wei

2021Physical Review Research42 citationsDOIOpen Access PDF

Abstract

The authors propose a framework to deal with unsupervised machine learning of both topological phases and non-topological ones. From this, the Calinski-Harabaz index score can be used to probe phase transitions.

Topics & Concepts

Unsupervised learningArtificial intelligenceTopological data analysisComputer scienceIndex (typography)Phase (matter)MathematicsTopology (electrical circuits)Phase transitionPattern recognition (psychology)Supervised learningMachine learningStability (learning theory)Topological indexSemi-supervised learningPhysicsTerm (time)Transition (genetics)Artificial neural networkTraining setAlgorithmGroup (periodic table)Quantum many-body systemsMachine Learning in Materials ScienceTheoretical and Computational Physics
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