Artificial Intelligence: A Modern Approach
Artificial Intelligence: A Modern Approach
3rd Edition
ISBN: 9780136042594
Author: Stuart Russell, Peter Norvig
Publisher: Prentice Hall
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Chapter 3, Problem 27E
Program Plan Intro

State space:

  • One general formulation of intelligent action is in terms of state space.
  • A state includes all the necessary information to predict the result of an action and to determine whether it is a target state.
  • The state-space search assumes that,
    • The agent knows the state space well and can observe the state in which it is.
    • The agent has a set of actions proven to have deterministic effects.
    • Several states are target/goal state, the agent wants to enter one of these target state and the agent may identify a target state.
    • A solution is a series of acts that will turn the agent in to a target state from its current state.

Program Plan Intro

Branching factor:

  • The branching factor is the outdegree, the number of children at each node.
  • If the branching factor is not uniform, it is possible to calculate an average branching factor.
  • The average branching factor can be determined easily as the number of non-root nodes divided by the number of non-leaf nodes. Where the number of root node is determined by as the size of the tree, minus one.

Program Plan Intro

Admissible heuristic:

  • A heuristic h(s) is admissible, if for every node n, h(s)h*(s) is the true cost to reach the goal state from n
  • An admissible heuristic never over estimates the cost to reach the goal. That is optimistic. Sensorless search problem defines by four items. That are given below,
    1. 1. Initial state
    2. 2. Description of action: successor function h(s) = set of action-state pairs
    3. 3. Goal test, can be
      • Explicit
      • Implicit
    4. 4 Path cost. It reflects the performance measure.
  • An admissible heuristic can be obtained by taking maximum of h*(s). Since any sequences of actions that solve all states would solve each state, this heuristic is admissible.

Program Plan Intro

Admissible heuristic:

  • A heuristic h(s) is admissible, if for every node n, h(s)h*(s) is the true cost to reach the goal state from n
  • An admissible heuristic never over estimates the cost to reach the goal. That is optimistic. Sensorless search problem defines by four items. That are given below,
    1. 4. Initial state
    2. 5. Description of action: successor function h(s) = set of action-state pairs
    3. 6. Goal test, can be
      • Explicit
      • Implicit
    4. 5 Path cost. It reflects the performance measure.
  • An admissible heuristic can be obtained by taking maximum of h*(s). Since any sequences of actions that solve all states would solve each state, this heuristic is admissible.

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