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What if a heuristic is not admissible?
A non-admissible heuristic may overestimate the cost of reaching the goal. It may or may not result in an optimal solution. Thus, the total cost (= search cost + path cost) may actually be lower than an optimal solution using an admissible heuristic.
What is A heuristic example?
Heuristics can be mental shortcuts that ease the cognitive load of making a decision. Examples that employ heuristics include using trial and error, a rule of thumb or an educated guess.
Why is the heuristic h * admissible in this case?
This is admissible because if the successor is the goal node, 0 will be less than or equal to the cost to move to the goal node, and if the successor is not the goal node, then the optimal path will have to take at least one of the paths away from the successor, and thus h* will include a path cost equal or greater than the minimum cost.
How to prove the validity of a heuristic?
(b) proving it by using additional information available of the heuristic. For example, we know that the eucledian distance is admissible for searching the shortest path (in terms of actual distance, not path cost). Note also that any consistent heuristic is admissible (but not always vice-versa).
When is the eucledian distance an admissible heuristic?
For example, we know that the eucledian distance is admissible for searching the shortest path (in terms of actual distance, not path cost). Note also that any consistent heuristic is admissible (but not always vice-versa). For your example, there is no additional information available regarding the two heuristics.
When is the heuristic C ( N, N ) consistent?
A heuristic is consistent if the cost from the current node to a successor node, plus the estimated cost from the successor node to the goal is less than or equal to the estimated cost from the current node to the goal In an equation, it would look like this: C (n, n’) + h (n’) ≤ h (n)