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The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
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Minimum uncertainty as Bayesian network model selection principle.

Grigoriy Gogoshin1, Andrei S Rodin2

  • 1Department of Computational and Quantitative Medicine, Beckman Research Institute, and Diabetes and Metabolism Research Institute, City of Hope National Medical Center, 1500 East Duarte Road, Duarte, CA, 91010, USA. ggogoshin@coh.org.

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Summary
This summary is machine-generated.

This study introduces a new Minimum Uncertainty (MU) model selection principle for Bayesian Network (BN) reconstruction. MU overcomes data incommensurability issues, improving BN interpretability and enabling direct comparisons.

Keywords:
AICAPOEBDBICBayesian networksConditional independenceMDLModel selection criteriaMutual informationProbabilistic networksSampling errorStatistical uncertaintytRNA

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Area of Science:

  • Computational Systems Biology
  • Bioinformatics
  • Data Science

Background:

  • Bayesian Network (BN) modeling is crucial in systems biology.
  • Dataset incommensurability causes irregularities in model selection criteria like Minimum Description Length (MDL).
  • This hinders the interpretation and comparison of BN model features, such as dependency strengths.

Purpose of the Study:

  • To derive and evaluate a novel model selection principle for Bayesian Networks.
  • To address contextual dependence and numerical irregularities in BN reconstruction.
  • To enhance the interpretability and comparability of BN models.

Main Methods:

  • Framing model evaluation as a misspecification problem.
  • Estimating sampling error effects on conditional independence using Mutual Information.
  • Developing the Minimum Uncertainty (MU) principle to penalize uncertainty.

Main Results:

  • The Minimum Uncertainty (MU) criterion demonstrates performance advantages over existing methods.
  • Numerical validation confirms the effectiveness of the MU principle.
  • Real-world data examples illustrate the benefits of the new evaluation framework.

Conclusions:

  • The MU principle resolves performance irregularities seen with MDL.
  • It offers improved convergence rates for BN reconstruction.
  • MU enhances BN interpretability and universality, facilitating direct inter-BN comparisons.