We present a general machine learning framework for probing
the
electronic state properties using the novel quantum descriptor MolOrbImage.
Each pixel of the MolOrbImage records the quantum information generated
by the integration of the physical operator with a pair of bra and
ket molecular orbital (MO) states. Inspired by the success of deep
convolutional neural networks (NNs) in computer vision, we have implemented
the convolutional-layer-dominated MO-NN model. Using the orbital energy
and electron repulsion integral MolOrbImages, the MO-NN model achieves
promising prediction accuracies against the ADC(2)/cc-pVTZ reference
for transition energies to both low-lying singlet [mean absolute error
(MAE) < 0.16 eV] and triplet (MAE < 0.14 eV) states. An apparent
improvement in the prediction of oscillator strength, which has been
shown to be challenging previously, has been demonstrated in this
study. Moreover, the transferability test indicates the remarkable
extrapolation capacity of the MO-NN model to describe the out of data
set systems.