stem/AI/Searching/Informed.md
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1023 B

Best First

  • Uniform cost uses an evaluation function
    • Doesn't necessarily direct towards goal
    • Doesn't know how far to goal
      • Only cost so far
    • Still blind
  • Look forward
    • Lot of techniques aiming to define best node
  1. Expand node closest to goal
    • Greedy
  2. Expand node on least cost solution path
    • A*

Greedy

  • Estimate distance to goal
    • Often can't determine exactly
    • This cost is a heuristic
  • Could be crow-flies distance
  • Expand nodes in increasing order of heuristic cost
  • Fast
  • Not optimal
    • Simple heuristic

A*

  • Combines advantages of uniform cost and greedy search
  • Optimal & Complete
  • h(n)
    • Estimate of distance to goal
    • Greedy
  • g(n)
    • Cost of cumulative path
    • Uniform cost
  • f(n)=g(n)+h(n)
  • Heuristic must be admissible
    • Underestimates the distance to the goal
    • Never overestimates
    • Monotonic
  • Expand other low cost paths
  • Pathmax
    • For heuristics which might not be monotonic
    • Select last option if going in wrong direction