You are tasked with reducing the dimensionality of a dataset with multiple classes, and the within-class variance is very high. How would LDA help in this scenario?

  • LDA would be ineffective due to high within-class variance
  • LDA would increase the dimensionality
  • LDA would only focus on between-class variance
  • LDA would reduce dimensionality while preserving class separation
Despite high within-class variance, LDA would "reduce dimensionality while preserving class separation" by projecting data into a space that maximizes between-class variance.
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