Question

In: Statistics and Probability

Q1. How many degrees of freedom does a cubic spline with K knots have? Q2. Does...

Q1. How many degrees of freedom does a cubic spline with K knots have?

Q2. Does an LDA classifier calculate which direction will maximize the ratio of between class variance over within class variance?

Solutions

Expert Solution

Answer :

Q1. The degrees of freedom does a cubic spline with K knots have,

  • A characteristic cubic spline includes extra imperatives, to be specific that the capacity is direct past the limit hitches.
  • This compels the cubic and quadratic parts there to 0, each diminishing the degrees of opportunity by 2.
  • That is 2 degrees of opportunity at every one of the two closures of the bend, decreasing K+4 to K.

Q2. LDA classifier calculate which direction will maximize the ratio of between class variance over within class variance,

  • Direct Discriminant Analysis ( LDA ) is most usually utilized as dimensional decrease method in the pre-preparing venture for example grouping and AI applications.
  • The objective is to extend an informational collection onto a lower-dimensional space with great class-distinguish able ness all together dodge over fitting ("revile of dimensional") and furthermore lessen computational expenses.
  • In this way, more or less, frequently the objective of a LDA is to extend a component space (an informational index n-dimensional examples) onto a littler subspace k (where k≤n−1) while keeping up the class-unfair data.
  • By and large, dimensional decrease does not just help diminishing computational expenses for a given characterization task, however it can likewise be useful to stay away from over fitting by limiting the mistake in parameter estimation ("revile of dimensional").

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