  We present a novel intelligent quasar continuum neural network (iQNet),
predicting the intrinsic continuum of any quasar in the rest-frame wavelength
range 1020 Angstroms $\leq \lambda \leq$ 1600 Angstroms. We train this network
using high-resolution Hubble Space Telescope/Cosmic Origin Spectrograph
ultraviolet quasar spectra at low redshift ($z \sim 0.2$) from the Hubble
Spectroscopic Legacy Archive, and apply it to predict quasar continua from
different astronomical surveys. We utilize the HSLA quasar spectra that are
well-defined in the rest-frame wavelength range [1020, 1600] Angstroms with an
overall median signal-to-noise ratio of at least five. The iQNet achieves a
median AFFE of 2.24% on the training quasar spectra, and 4.17% on the testing
quasar spectra. We apply iQNet and predict the continua of $\sim$3200 SDSS-DR16
quasar spectra at higher redshift ($2< z \leq 5$) and measure the redshift
evolution of mean transmitted flux ($< F >$) in the Ly-$\alpha$ forest region.
We measure a gradual evolution of $< F >$ with redshift, which we characterize
as a power-law fit to the effective optical depth of the Ly-$\alpha$ forest.
Our measurements are broadly consistent with other estimates of $<F>$ in the
literature, but provide a more accurate measurement as we are directly
measuring the quasar continuum where there is minimum contamination from the
Ly-$\alpha$ forest. This work proves that the deep learning iQNet model can
predict the quasar continuum with high accuracy and shows the viability of such
methods for quasar continuum prediction.
