Suppose you were applying the Graph Search version of A* Search to a search problem. Using an admissible heuristic would guarantee that:Group of answer choicesAll nodes expanded by the search algorithm will have the same value of f(n).The first solution found is an optimal solution.The heuristic is also consistent.None of the above.
Question
Suppose you were applying the Graph Search version of A* Search to a search problem. Using an admissible heuristic would guarantee that:Group of answer choicesAll nodes expanded by the search algorithm will have the same value of f(n).The first solution found is an optimal solution.The heuristic is also consistent.None of the above.
Solution
The correct answer is: The first solution found is an optimal solution.
Here's why:
A* Search is a popular algorithm for pathfinding and graph traversal, which is the process of finding a path from a start node to a goal node. It uses a best-first search and finds the least-cost path from a given initial node to one goal node.
An admissible heuristic is one that never overestimates the cost of the minimum cost path from a node to the goal node. In other words, it is optimistic. This is important because it ensures that A* search algorithm is optimal, meaning that the first solution found is guaranteed to be the best solution.
Therefore, when applying the Graph Search version of A* Search to a search problem, using an admissible heuristic would guarantee that the first solution found is an optimal solution.
Similar Questions
Suppose you are applying the Tree Search version of Greedy Best-First Search to a search problem. Using an admissible heuristic would guarantee:Group of answer choicesTermination whenever the set of states is finite.Optimality of the first solution found.Consistency of the heuristic.None of the above.
What is a heuristic function, and why is it important in A* search?
The time complexity of the Best-first search depends on..........................................a)the number of nodes in the graph.b)the branching factor of the graph.c)the depth of the solution.d)the heuristic function used.
The heuristic path algorithm is a best-first search in which f(n) = (2-w) g(n) + w h(n).Select the correct statement(s) - For w = 1, f(n) represents the A* algorithm. For w = 2, f(n) is complete. For w > 2, f(n) is optimal. For w = 0, f(n) represents UCS.
In A* algorithm, if the heuristic function hNo is always zero, what search algorithm does it degenerate into? a. Depth-First Search b. Greedy Best-First Search c. Breadth-First Search d. Uniform Cost Search
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