3.2 Minimax The first zero-sum-game algorithm we will consider is minimax, which runs under the motivating assumption that the opponent we face behaves optimally, and will always perform the …

Hence, the space complexity of DFS is \ (O (bm)\). 1.3.2 Breadth-First Search Description - Breadth-first search is a strategy for exploration that always selects the shallowest frontier node from the start …

8.3 Viterbi Algorithm In the Forward Algorithm, we used recursion to solve for \ (P (X_N|e_ {1:N})\), the probability distribution over states the system could inhabit given the evidence variables observed so …

9.2 Naive Bayes We’ll motivate our discussion of machine learning with a concrete example of a machine learning algorithm. Let’s consider the common problem of building an email spam filter, …

For a propositional logical system, if there are \ (N\) symbols, there are \ (2^N\) models to check, and hence the time complexity of this algorithm is \ (O (2^N)\), while in first-order logic, the number of …

Introduction to Artificial Intelligence Note 3 These lecture notes are heavily based on notes originally written by Nikhil Sharma.

In a general CSP with n variables, each taking d possible values, what is the worst case time complexity of enforcing arc consistency using the AC-3 method discussed in class?

Start state and goal test Search tree: Nodes: represent plans for reaching states Plans have costs (sum of action costs) Search algorithm: Systematically builds a search tree Chooses an ordering of the …

Time Complexity in the state space graph as ε. Then, we must roughly explore all nodes at depths ranging from 1 to C∗/ε, leading to an runtime of O(bC∗/ε). Space Complexity - Roughly, the frontier …

XT Viterbi Algorithm (max) For the m1:t+1 = each state at time t, keep track of