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Woodward–Hoffmann Selection Rules and Microscopic Reversibility01:34

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Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
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Natural selection influences the frequencies of particular alleles and phenotypes within populations in several different ways. Primarily, natural selection can be directional, stabilizing, or disruptive. Directional selection favors one extreme trait and shifts the population towards that phenotype while selecting against individuals displaying alternate traits. Stabilizing selection favors an intermediate trait with a narrow range of variation. Deviation from the optimal phenotype towards an...
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Markov Blanket Feature Selection Using Representative Sets.

Kui Yu1, Xindong Wu2, Wei Ding3

  • 1School of Information Technology and Mathematical Sciences, University of South Australia, Adelaide, SA, Australia.

IEEE Transactions on Neural Networks and Learning Systems
|January 24, 2017
PubMed
Summary
This summary is machine-generated.

Markov blankets are crucial for feature selection in Bayesian networks. A new algorithm, selection via group alpha-investing (SGAI), addresses issues with non-unique Markov blankets, improving classification accuracy on real-world data.

Keywords:
Algorithm design and analysisBayes methodsClustering algorithmsLearning systemsMarkov processesProbability distributionRedundancy

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Area of Science:

  • Machine Learning
  • Artificial Intelligence
  • Data Mining

Background:

  • Markov blankets in Bayesian networks are widely used for optimal feature selection.
  • Uniqueness of Markov blankets is guaranteed only if the data distribution faithfully represents the Bayesian network.
  • Violations of the faithful condition can lead to non-unique Markov blankets, posing challenges for feature selection.

Purpose of the Study:

  • To address the non-uniqueness issue of Markov blankets when the faithful condition is violated.
  • To propose a novel concept of representative sets for robust Markov blanket feature selection.
  • To introduce the selection via group alpha-investing (SGAI) algorithm for classification tasks.

Main Methods:

  • Development of the concept of representative sets.
  • Design of the selection via group alpha-investing (SGAI) algorithm.
  • Empirical evaluation using a comprehensive set of real-world datasets.

Main Results:

  • The proposed SGAI algorithm effectively performs Markov blanket feature selection using representative sets.
  • Empirical studies demonstrate that SGAI outperforms existing state-of-the-art Markov blanket feature selectors.
  • SGAI also shows superior performance compared to other well-established feature selection methods.

Conclusions:

  • The SGAI algorithm provides a robust solution for Markov blanket feature selection, even when data violates the faithful condition.
  • Representative sets enhance the reliability of Markov blanket identification.
  • SGAI offers a promising approach for improving classification performance through effective feature selection.