  As a critical way to modulate thermal transport in nanostructures, phonon
resonance hybridization has become an issue of great concern in the field of
phonon engineering. In this work, we optimized phonon transport across graphene
nanoribbon and obtained minimized thermal conductance by means of designing
pillared nanostructures based on resonance hybridization. Specifically, the
optimization of thermal conductance was performed by the combination of atomic
Green` s function and Bayesian optimization. Interestingly, it is found that
thermal conductance decreases non-monotonically with the increasing of number
for pillared structure, which is severed as resonator and blocks phonon
transport. Further mode-analysis and atomic Green` s function calculations
revealed that the anomalous tendency originates from decreased phonon
transmission in a wide frequency range. Additionally, nonequilibrium molecular
dynamics simulations are performed to verify the results with the consideration
of high-order phonon scattering. This finding provides novel insights into the
control of phonon transport in nanostructures.
