Machine learning probing universality class of four models*

We test details of a possible investigation of the universality using a deep learning approach.

We chose an example of the universality class of the two-dimensional 4-state Potts model. There are four known models within the universality class -- the 4-state Potts model, the Baxter-Wu model, the Ashkin-Teller model, and the Turban model. We answered part of the questions – accuracy of the critical temperature estimation and correlation length exponent and the possibility of extracting some critical exponents' ratios. We check the accuracy of the approach with learning using the samples generated using one of the models mentioned above and apply the trained network for the testing remaining three models.