18 - Archetypal Analysis
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Questions and Answers

What is the main difference between archetypal analysis and k-means clustering?

Archetypal analysis represents points by extreme examples (archetypes) while k-means represents points by means.

Explain the additional constraints in archetypal analysis.

Every archetype is a convex combination of existing data points and every data point is a convex combination of archetypes.

What do optimal archetypes in archetypal analysis approximate?

Optimal archetypes approximate the convex hull of a data set with points.

Which algorithm can be used to optimize archetypal analysis?

<p>The Frank-Wolfe algorithm can be used to optimize archetypal analysis.</p> Signup and view all the answers

Why is SVD considered optimal when using squared error in matrix factorization?

<p>SVD is optimal because it may use negative values, which can improve the accuracy of the factorization.</p> Signup and view all the answers

How does non-negativity constraint impact the interpretability of matrix factorization results?

<p>Non-negativity constraint can make the results more interpretable, especially in text analysis.</p> Signup and view all the answers

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