Solution 7 Computational Intelligence Lab 2012

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Problem 1

  • Given:
    • is orthogonal to
    • For the next step we have:
    • is orthogonal to
  • Question: Is orthogonal to ? When is it true?
  • Solution:
    • since :
    • = 0 if i.e. if and are orthogonal.


Problem 2

  • Given:
    • Atom selection at iteration :
    • Assume that where are some numbers not necessarily equal to .
  • Question: How will the atom selection rule change? What should you maximize now in order to minimize ?
  • Solution: