  We generalize the previous study on the application of variational
autoencoders to the two-dimensional Ising model to a system with anisotropy.
Due to the self-duality property of the system, the critical points can be
located exactly for the entire range of anisotropic coupling. This presents an
excellent testbed for the validity of using a variational autoencoder to
characterize an anisotropic classical model. We reproduce the phase diagram for
a wide range of anisotropic couplings and temperatures via a variational
autoencoder without the explicit construction of an order parameter.
Considering that the partition function of $(d+1)$-dimensional anisotropic
models can be mapped to that of the $d$-dimensional quantum spin models, the
present study provides numerical evidence that a variational autoencoder can be
applied to analyze quantum systems via Quantum Monte Carlo.
