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cond-mat.stat-mech2020★ 1 cited
Interpretable Phase Detection and Classification with Persistent Homology
Alex Cole, Gregory J. Loges, Gary Shiu
We apply persistent homology to the task of discovering and characterizing phase transitions, using lattice spin models from statistical physics for working examples. Persistence i…
cond-mat.stat-mech2020★ 44 cited
Quantitative and Interpretable Order Parameters for Phase Transitions from Persistent Homology
Alex Cole, Gregory J. Loges, Gary Shiu
We apply modern methods in computational topology to the task of discovering and characterizing phase transitions. As illustrations, we apply our method to four two-dimensional lat…