18 Questions
What is the purpose of the evaluation function $f(n)$ in the A* search algorithm?
To estimate the total cost of the path from the start node to the goal node through node $n$
Which property of the heuristic function $h(n)$ is required for the A* search algorithm to be complete and optimal?
The heuristic function must be admissible
What is the main difference between the Uniform Cost Search (UCS) and the A* search algorithm?
UCS uses $f(n) = g(n)$, while A* uses $f(n) = g(n) + h(n)$
Suppose you are using the A* search algorithm to find the shortest path between two cities. Which of the following properties of the heuristic function $h(n)$ would be most desirable?
The heuristic function should be admissible and never underestimate the actual cost to the goal
How does the A* search algorithm expand the search tree compared to other uninformed search methods, such as Breadth-First Search (BFS) or Depth-First Search (DFS)?
A* expands nodes based on their estimated total cost to the goal, while BFS and DFS expand nodes based on their depth or order of discovery
Which of the following statements about the search tree explored by the A* algorithm is true?
The search tree explored by A* is not necessarily a subset of the search tree explored by any other uninformed search method
What is the evaluation function, f, for node F?
11
Which of the following best defines an admissible heuristic?
Never overestimates the cost to reach the goal state
In the 8-puzzle problem, what does h2(n) represent as a heuristic?
Total Manhattan distance
Which theorem states that if h(n) is admissible, A* using TREE-SEARCH is optimal?
Admissibility theorem
Why is an admissible heuristic important in A* search algorithm?
To guarantee the algorithm finds the optimal solution
What does it mean for an evaluation function to be complete in search algorithms?
It guarantees a solution if one exists
What is the branching factor (b) in the context of search algorithms?
The number of nodes expanded at each level
Which type of search method does Depth Limited Search (DLS) fall under?
Uninformed search - Depth First Search (DFS)
In the context of search algorithms, what does an admissible heuristic mean?
A heuristic that underestimates the cost to reach the goal
What is the purpose of the evaluation function in A* search algorithm?
To calculate the f(n) value for each node
Which search algorithm is known for using a combination of g(n) and h(n) functions for node evaluation?
A* search
In the context of A* search, what does the letter 'A' stand for?
Algorithm
Learn about admissible heuristics in pathfinding algorithms and how they ensure the accuracy of cost estimates to reach the goal state. This quiz involves evaluating the evaluation function f for different nodes visited in a pathfinding scenario.
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