To address the uncertainty of optimal vibratory frequency 
fov of high-speed railway graded gravel (
HRGG) and achieve high-precision prediction of the 
fov, the following research was conducted. Firstly, commencing with vibratory compaction experiments and the hammering modal analysis method, the resonance frequency 
f0 of 
HRGG fillers, varying in compactness 
K, was initially determined. The correlation between 
f0 and 
fov was revealed through vibratory compaction experiments conducted at different vibratory frequencies. This correlation was established based on the compaction physical–mechanical properties of 
HRGG fillers, encompassing maximum dry density 
ρdmax, stiffness 
Krd, and bearing capacity coefficient 
K20. Secondly, the gray relational analysis algorithm was used to determine the key feature influencing the 
fov based on the quantified relationship between the filler feature and 
fov. Finally, the key features influencing the 
fov were used as input parameters to establish the artificial neural network prediction model (
ANN-PM) for 
fov. The predictive performance of 
ANN-PM was evaluated from the ablation study, prediction accuracy, and prediction error. The results showed that the 
ρdmax, 
Krd, and 
K20 all obtained optimal states when 
fov was set as 
f0 for different gradation 
HRGG fillers. Furthermore, it was found that the key features influencing the 
fov were determined to be the maximum particle diameter 
dmax, gradation parameters 
b and 
m, flat and elongated particles in coarse aggregate 
Qe, and the Los Angeles abrasion of coarse aggregate 
LAA. Among them, the influence of 
dmax on the 
ANN-PM predictive performance was the most significant. On the training and testing sets, the goodness-of-fit 
R2 of 
ANN-PM all exceeded 0.95, and the prediction errors were small, which indicated that the accuracy of 
ANN-PM predictions was relatively high. In addition, it was clear that the 
ANN-PM exhibited excellent robust performance. The research results provide a novel method for determining the 
fov of subgrade fillers and provide theoretical guidance for the intelligent construction of high-speed railway subgrades.
            
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