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In structural engineering, the equilibrium of a system is not only determined by its equations of equilibrium but also with the help of constraints. Constraints refer to restrictions on the motion of a system. The proper combinations of constraints can minimize the total number of constraints needed to maintain a system in mechanical equilibrium. When this happens, the system is said to be statically determinate. For such systems, the unknown reaction supports can be estimated using equilibrium...
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Prediction rigidities for data-driven chemistry.

Sanggyu Chong1, Filippo Bigi1, Federico Grasselli1

  • 1Laboratory of Computational Science and Modeling, Institute of Materials, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland. michele.ceriotti@epfl.ch.

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Summary
This summary is machine-generated.

Prediction rigidities enhance understanding of machine learning (ML) models in chemistry. These metrics assess ML model robustness globally and locally, improving training efficiency and interpretability for chemical structure-property correlations.

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Area of Science:

  • * Computational Chemistry
  • * Machine Learning in Chemical Sciences

Background:

  • * Machine learning (ML) is increasingly vital in chemical sciences for correlating structures with properties.
  • * Understanding ML model learning, interpretability, and transferability is crucial for efficient application.
  • * Current methods for assessing ML model behavior lack detailed local insights.

Purpose of the Study:

  • * To introduce and demonstrate the utility of prediction rigidities for analyzing ML models in chemistry.
  • * To assess ML model robustness at both global and local prediction levels.
  • * To guide dataset construction and improve ML model training efficiency and interpretability.

Main Methods:

  • * Derivation of prediction rigidities as a family of metrics from the ML model's loss function.
  • * Application of prediction rigidities to evaluate ML model performance and learning behavior.
  • * Implementation of prediction rigidities for coarse-grained ML models in atomistic simulations.

Main Results:

  • * Prediction rigidities effectively assess ML model robustness across global and component-wise prediction levels.
  • * These metrics provide insights into the learning dynamics of various ML models.
  • * The study demonstrates improved dataset construction strategies guided by prediction rigidity analysis.
  • * Applicability of prediction rigidities is shown for coarse-grained ML models.

Conclusions:

  • * Prediction rigidities offer a powerful tool for understanding and improving ML models in chemical applications.
  • * The metrics enhance interpretability and transferability of ML models by revealing local prediction behaviors.
  • * This approach facilitates more efficient dataset curation and model development for chemical structure-property prediction.