Self-heterodyne techniques are widely used for laser phase noise characterization due to their simple experimental setup and the removal need for a reference laser. However, when investigating low-noise lasers, optical delay paths shorter than the laser coherence length become necessary. This introduces interference patterns that distort the measured phase noise spectrum. To compensate for this distortion, we introduce a robust data-driven digital signal processing routine that integrates a kernel-based regression model into a phase noise power spectral density (PN-PSD) equalization framework. Unlike conventional compensation methods that rely on simplified phase noise models, our approach automatically adapts to complex and hard-to-model laser lineshapes by using Kernel Ridge Regression with automatic hyperparameter optimization. This approach effectively removes the interference artifacts and provides accurate PN-PSD estimates. We demonstrate the method’s accuracy and effectiveness through simulations and via experimental measurements of two distinct low-noise lasers. The method’s applicability to a broad range of lasers, minimal hardware requirements, and improved accuracy make this approach ideal for improving routine phase noise characterizations.