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We examine feasibility of accurate estimations of universal critical datausing tensor renormalization group (TRG) algorithm introduced by Levin andNave. Specifically, we compute critical exponents $\gamma, \gamma/\nu, \delta,\eta$ and amplitude ratio $A$ for the magnetic susceptibility from one- andtwo-point correlation functions for three critical points in two dimensions --isotropic and anisotropic Ising models and the Yang-Lee critical point atfinite imaginary magnetic field. While TRG performs quantitaviely well in allthree cases already at smaller bond dimension, $D=16$, the latter two appear toshow more rapid improvement in bond dimension, e.g. we are able to reproduceexactly known results to better than one percent at bond dimension $D=24$. Weare able to reproduce exactly known values to better than 1 percent with modesteffort of bond dimension 28. We comment on the relationship between theseresults and earlier results on conformal dimensions, fixed points of tensor RG,and also compare computational costs of tensor renormalization vs. conventionalMonte-Carlo sampling.

Critical correlations of Ising and Yang-Lee critical points from Tensor RG