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Heuristic Search Algorithm

Definition:

  • A problem-solving technique that utilizes heuristics (rules of thumb or educated guesses) to guide the search process towards a solution.  
  • Aims to find a good solution efficiently, but not necessarily the optimal one.  

Types of Heuristic Search:

  1. Direct Heuristic Search:
    • Has knowledge of the goal state.
    • Uses this knowledge to estimate the distance or cost to the goal.
    • Examples:
      • A* Search: Combines cost to reach the node (g) and estimated cost to goal (h’) to find the shortest path.  
      • Greedy Best-First Search: Expands the node closest to the goal based on the heuristic.
  2. Weak Heuristic Search (Uninformed Search):
    • No additional information about the goal state.
    • Explores the search space systematically.
    • Examples:
      • Breadth-First Search (BFS): Explores layer by layer.  
      • Uniform Cost Search (UCS): Expands the node with the lowest cost.  
      • Depth-First Search (DFS): Explores as deeply as possible along each branch.  
      • Iterative Deepening Depth-First Search (IDDFS): Combines DFS with iterative deepening.
      • Bidirectional Search: Searches from both the start and goal states simultaneously.  

Key Concepts:

  • Heuristic Function: Estimates the cost to reach the goal from a given state.  
  • Admissibility: A heuristic is admissible if it never overestimates the actual cost to the goal.  
  • Efficiency: Heuristic search aims to find a good solution quickly.
  • Completeness: A search algorithm is complete if it is guaranteed to find a solution if one exists.  

Advantages of Heuristic Search:

  • Can be more efficient than uninformed search.
  • Can find good solutions even for complex problems.  

Disadvantages of Heuristic Search:

  • May not always find the optimal solution.
  • The effectiveness depends heavily on the quality of the heuristic function.  

Applications:

  • Robotics  
  • Pathfinding and navigation
  • Game playing  
  • Machine learning
  • Optimization problems  

References:

  • Russell, S., and Norvig, P. Artificial Intelligence: A Modern Approach, 4th Edition, 2020, Pearson.
  • Rich, E., Knight, K., & Nair, S. B. Artificial Intelligence. McGraw-Hill International.
  • Nilsson, N. J. Artificial Intelligence: A New Synthesis. Morgan Kaufmann.

Note: This content was generated with the assistance of Google’s Gemini A

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