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Band Theory02:35

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When two or more atoms come together to form a molecule, their atomic orbitals combine and molecular orbitals of distinct energies result. In a solid, there are a large number of atoms, and therefore a large number of atomic orbitals that may be combined into molecular orbitals. These groups of molecular orbitals are so closely placed together to form continuous regions of energies, known as the bands.
The energy difference between these bands is known as the band gap.
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Accurate predictive model of band gap with selected important features based on explainable machine learning.

Joohwi Lee1, Kaito Miyamoto2

  • 1Toyota Central R&D Labs., Inc., Yokomichi 41-1, Nagakute, Aichi, 480-1192, Japan. j-lee@mosk.tytlabs.co.jp.

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Summary

Explainable machine learning (XML) simplifies material property prediction models by identifying key features. This approach reduces computational costs and enhances model trustworthiness for materials discovery.

Keywords:
Band gapExplainable machine learningPFIReduce feature dimensionSHAPXAIXML

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Area of Science:

  • Materials Informatics
  • Computational Materials Science
  • Machine Learning

Background:

  • Nonlinear machine learning models excel at predicting material properties but often lack interpretability.
  • Black-box models may include irrelevant or detrimental features, impacting performance and trustworthiness.

Purpose of the Study:

  • To apply explainable machine learning (XML) techniques to identify crucial features for predicting material band gaps.
  • To develop a framework for constructing simplified, accurate, and interpretable predictive models using feature importance.

Main Methods:

  • Employed permutation feature importance and SHapley Additive exPlanations (SHAP) on a support vector regression model.
  • Utilized 18 input features to predict GW-level band gaps.
  • Proposed a framework for reduced-feature model construction guided by XML insights, emphasizing the removal of highly correlated features ( > 0.8).

Main Results:

  • An XML-guided model with the top five features achieved comparable accuracy to the original 18-feature model on in-domain data (0.254 vs. 0.247 eV).
  • The reduced-feature model demonstrated improved generalization and lower prediction errors on out-of-domain data (0.348 vs. 0.460 eV).
  • Eliminating strongly correlated features prior to XML analysis is crucial for accurate feature importance assessment.

Conclusions:

  • XML techniques effectively clarify feature roles in machine learning models for materials informatics.
  • Simplified models derived through XML offer comparable accuracy, improved generalization, and enhanced trustworthiness.
  • This approach reduces computational expenses associated with feature selection and acquisition in materials discovery.