Admissible and Consistent Heuristics Quiz
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Questions and Answers

In the context of state space search, what is a characteristic of a breadth-first search?

  • It guarantees the optimal solution. (correct)
  • It explores the deepest nodes first.
  • It uses a stack for storage.
  • It is more memory-efficient than depth-first search.
  • Which of the following represents a conjunctive normal form (CNF) expression?

  • (P ∧ Q) ∨ R
  • (P → Q) ∧ (Q → R)
  • (P ∨ Q) ∧ (¬P ∨ R) (correct)
  • ¬(P ∨ Q)
  • What is a common characteristic of admissible heuristics in the context of search algorithms?

  • They are suitable for all types of problems.
  • They overestimate the cost to reach the goal. (correct)
  • They are not affected by the branching factor of the search tree.
  • They always provide the exact solution path.
  • Which of the following best describes the key difference between depth-first search and breadth-first search in state space search algorithms?

    <p>Depth-first search may get stuck in deep branches before exploring shallow ones.</p> Signup and view all the answers

    What type of search algorithm will expand the nodes ABCDE?

    <p>Breadth First Search</p> Signup and view all the answers

    Which search algorithm will not expand any nodes?

    <p>Hill Climbing Search</p> Signup and view all the answers

    In the context of the text, what does the minimax value represent?

    <p>4</p> Signup and view all the answers

    What is the type of a shopping agent that is based on a set of rules?

    <p>Simple Reflex Agent</p> Signup and view all the answers

    In the given text, which search algorithm is guaranteed to find the shallowest goal state?

    <p>Breadth First Search</p> Signup and view all the answers

    Based on the text, what is the primary difference between admissible and consistent heuristics?

    <p>Admissible heuristics always underestimate the cost, while consistent heuristics do not.</p> Signup and view all the answers

    If the start state is A and the goal state is G, which search algorithm in the text is most likely to have a node expansion sequence of ABDEFG?

    <p>Depth First Search</p> Signup and view all the answers

    Which statement is true about Hill Climbing search mentioned in the text?

    <p>Hill Climbing uses heuristic to evaluate and compare estimated costs.</p> Signup and view all the answers

    Study Notes

    • Expands nodes in a level-wise manner, exploring all nodes at a given depth before moving to the next level.
    • Guaranteed to find the shortest path to a goal state if one exists.

    Conjunctive Normal Form (CNF)

    • A logical expression consisting of a conjunction (AND) of clauses.
    • Each clause is a disjunction (OR) of literals, which are either variables or their negations.

    Admissible Heuristics

    • Underestimate the cost of reaching the goal state from a given node.
    • They never overestimate the actual cost, ensuring that a path found using an admissible heuristic is never suboptimal.
    • Depth-first search explores a single branch of the search tree as deeply as possible before backtracking and exploring other branches.
    • Breadth-first search explores all nodes at a given level before moving to the next level.

    Search Algorithm Expansion

    • Breadth-first search will expand nodes ABCDE in that order.
    • Depth-first search will expand nodes in a different order, potentially exploring a single branch to its end before backtracking.

    No Node Expansion

    • A search algorithm that does not find a solution will not expand any nodes.

    Minimax Value

    • Represents the best possible outcome for a player in a game, assuming optimal play from both players.
    • It is calculated recursively, considering all possible moves and their potential consequences.

    Rule-Based Shopping Agent

    • A type of agent that uses a set of rules to make decisions about which products to purchase.
    • Each rule defines a specific condition and the corresponding action to take when the condition is met.

    Guaranteed Shallowest Goal State

    • Breadth-first search is guaranteed to find the shallowest goal state, as it explores all nodes at a given depth before moving to the next level.

    Admissible vs. Consistent Heuristics

    • Admissible heuristics underestimate the cost of reaching the goal state.
    • Consistent heuristics satisfy a stronger condition, where the estimated cost of reaching the goal from a node is less than or equal to the estimated cost of reaching the goal from any of its successor nodes.

    Node Expansion Sequence

    • Depth-first search is most likely to have a node expansion sequence of ABDEFG if the start state is A and the goal state is G. This is because depth-first search will explore a single branch as deep as possible before backtracking.
    • A local search algorithm that explores new states that are "better" according to a given heuristic function.
    • It can get stuck in local optima, meaning it might not find the global optimum even if it exists.

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    Test your understanding of admissible and consistent heuristics in artificial intelligence with questions on composite heuristics and heuristics in the 8-puzzle game. Challenge yourself to determine the best composite heuristic and identify the properties of specific heuristics.

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