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