How does LDA specifically maximize between-class variance while minimizing within-class variance?

  • By finding the eigenvectors of the scatter matrices
  • By finding the vectors that maximize the ratio of between-class scatter to within-class scatter
  • By setting thresholds for class labels
  • By using gradient descent
LDA specifically maximizes between-class variance and minimizes within-class variance by "finding the vectors that maximize the ratio of between-class scatter to within-class scatter." This ensures optimal class separation.
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