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An outlier is an observation of data that does not fit the rest of the data. It is sometimes called an extreme value. When you graph an outlier, it will appear not to fit the pattern of the graph. Some outliers are due to mistakes (for example, writing down 50 instead of 500), while others may indicate that something unusual is happening. Outliers are present far from the least squares line in the vertical direction. They have large "errors," where the "error" or residual is the...
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Outliers are observed data points that are far from the least squares line. They have unusual values and need to be examined carefully. Though an outlier may result from erroneous data, at other times, it may hold valuable information about the population under study and should be included in the data. Hence, it is crucial to examine what causes a data point to be an outlier.
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When one or more data points appear far from the rest of the data, there is a need to determine whether they are outliers and whether they should be eliminated from the data set to ensure an accurate representation of the measured value. In many cases, outliers arise from gross errors (or human errors) and do not accurately reflect the underlying phenomenon. In some cases, however, these apparent outliers reflect true phenomenological differences. In these cases, we can use statistical methods...
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Potential energy or potential function plays an essential role in determining the stability of a mechanical system. If a system is subjected to both gravitational and elastic forces, the potential function of the system can be expressed as the algebraic sum of gravitational and elastic potential energy. If the system is in equilibrium and is displaced by a small amount, then the work done on the system equals the negative of the change in the system's potential energy from the initial to...
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Sometimes, a data set can have a recorded numerical observation that greatly  deviates from the rest of the data. Assuming that the data is normally distributed, a statistical method called the Grubbs test can be used to determine whether the observation is truly an outlier.  To perform a two-tailed Grubbs test, first, calculate the absolute difference between the outlier and the mean. Then, calculate the ratio between this difference and the standard deviation of the sample. This...
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The energy stored by a structure and location of matter in space is called potential energy. For instance, raising a kettlebell changes its spatial location and increases its potential energy. Similarly, a stretched rubber band contains potential energy which, under certain conditions, can be converted into other forms of energy, such as kinetic energy.
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Updated: May 27, 2025

Experimental and Data Analysis Workflow for Soft Matter Nanoindentation
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Outlier-detection for reactive machine learned potential energy surfaces.

Luis Itza Vazquez-Salazar1, Silvan Käser1, Markus Meuwly1

  • 1Department of Chemistry, University of Basel, Basel, Switzerland.

Npj Computational Materials
|February 18, 2025
PubMed
Summary
This summary is machine-generated.

Uncertainty quantification (UQ) methods were tested for identifying errors in molecular potential energy surfaces. Ensemble models proved most effective for outlier detection, outperforming Gaussian Mixture Models and deep evidential regression.

Keywords:
Physical chemistryTheoretical chemistry

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Area of Science:

  • Computational chemistry
  • Chemical physics
  • Machine learning applications in science

Background:

  • Accurate potential energy surfaces (PESs) are crucial for simulating chemical reactions.
  • Identifying unreliable predictions in PESs is essential for efficient model refinement.
  • Uncertainty quantification (UQ) offers a framework for assessing prediction confidence.

Purpose of the Study:

  • To evaluate different UQ methods for detecting outliers in reactive molecular PESs.
  • To compare the performance of Ensembles, deep evidential regression (DER), and Gaussian Mixture Models (GMM) for UQ.
  • To identify strategies for improving the accuracy and efficiency of PES development.

Main Methods:

  • Application of three UQ methods: Ensembles, DER, and GMM.
  • Testing on the H-transfer reaction between syn-Criegee and vinyl hydroxyperoxide.
  • Analysis of outlier detection performance based on prediction uncertainty.

Main Results:

  • Ensemble models demonstrated the highest accuracy in detecting outliers (~90% for top 25 structures).
  • GMM showed moderate performance (~50% for top 1000 structures).
  • DER's performance was significantly limited by its statistical assumptions.
  • A structure-based indicator correlated with average error was identified.

Conclusions:

  • Ensemble-based UQ is a robust approach for identifying unreliable data points in PES calculations.
  • GMM offers a viable alternative for UQ in this context.
  • The identified structure-based indicator can accelerate the refinement of neural network models for PESs.