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Pairwise Difference Regression: A Machine Learning Meta-algorithm for Improved Prediction and Uncertainty

Michael Tynes1,2, Wenhao Gao3,4, Daniel J Burrill1,2

  • 1Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, United States.

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|August 4, 2021
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We introduce pairwise difference regression (PADRE), a novel machine learning approach for chemical discovery. PADRE improves model accuracy and uncertainty quantification by learning from data point differences, outperforming traditional methods.

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Area of Science:

  • Computational chemistry
  • Machine learning applications
  • Chemical informatics

Background:

  • Machine learning (ML) is increasingly used in chemical design, but faces challenges in generalizing from small datasets and quantifying uncertainty.
  • Current ML models often struggle with vast chemical spaces, necessitating better methods for exploring unexplored regions.
  • Traditional chemical intuition leverages differences between conditions for reliable predictions, a principle underexplored in ML.

Purpose of the Study:

  • To develop a novel ML regression approach inspired by comparison-based chemical intuition.
  • To enhance generalization and uncertainty quantification in ML models for chemical discovery.
  • To create a method applicable to various ML algorithms and competitive with existing techniques.

Main Methods:

  • Developed pairwise difference regression (PADRE), a comparison-based ML regression technique.
  • PADRE learns to predict differences between pairs of input data points during training.
  • Predictions are generated by pairing test points with training points, yielding a distribution for mean prediction and uncertainty.

Main Results:

  • PADRE significantly improved the performance of the random forest algorithm across five chemical ML tasks.
  • The uncertainty measure derived from PADRE (dispersion) correlated well with model error.
  • PADRE demonstrated strong performance in active learning scenarios.
  • The method proved competitive with state-of-the-art neural network approaches.

Conclusions:

  • Pairwise difference regression (PADRE) offers a robust and versatile approach for ML in chemical discovery.
  • PADRE enhances prediction accuracy and provides reliable uncertainty quantification.
  • This method shows significant promise for improving candidate selection algorithms in drug and materials discovery.