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Deciphering Molecular Embeddings with Centered Kernel Alignment.

Matthias Welsch1,2,3, Steffen Hirte1,3, Johannes Kirchmair1,2

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This study adapts centered kernel alignment (CKA) for analyzing random forest (RF) models in cheminformatics. The new method accurately measures model similarity, aiding in understanding complex machine learning behaviors.

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Area of Science:

  • Machine Learning
  • Cheminformatics
  • Computational Chemistry

Background:

  • Analyzing nonlinear machine learning models presents significant challenges.
  • Centered Kernel Alignment (CKA) is a tool for assessing embedding similarity, effective for neural networks but underutilized in cheminformatics.
  • Random Forest (RF) models are popular in cheminformatics but lack the rotational invariance required by standard CKA.

Purpose of the Study:

  • To adapt Centered Kernel Alignment (CKA) for analyzing Random Forest (RF) models.
  • To develop a method that accounts for the properties of RF algorithms.
  • To enable better understanding and explanation of RF model behavior in cheminformatics.

Main Methods:

  • Adapted CKA by developing a specific kernel tailored to Random Forest (RF) properties.
  • Validated the adapted CKA method by comparing its results with prediction similarity of RF models.
  • Applied the RF-kernel CKA to analyze and explain RF models built from molecular and rooted fingerprints.

Main Results:

  • The adapted CKA method shows strong correlation with the prediction similarity of RF models.
  • Demonstrated the utility of CKA with the RF kernel for analyzing and explaining RF model behavior.
  • Successfully applied the method to analyze models derived from molecular and rooted fingerprints.

Conclusions:

  • The adapted CKA provides a robust method for analyzing RF models in cheminformatics.
  • This approach enhances the interpretability of machine learning models in molecular sciences.
  • The RF-kernel CKA is a valuable tool for understanding complex relationships in chemical data.