Artificial Intelligence: A Modern Approach
Artificial Intelligence: A Modern Approach
3rd Edition
ISBN: 9780136042594
Author: Stuart Russell, Peter Norvig
Publisher: Prentice Hall
Question
Book Icon
Chapter 3, Problem 28E
Program Plan Intro

Suboptimal solution:

  • Suboptimal heuristic search algorithms such as weighted A* and greedy best-first search are widely use to solve problems for which guaranteed optimal solutions are too expensive to obtain.
  • To guide their search, these algorithms rely on a heuristic function.
  • These algorithms are used because, when constructing the heuristics, the optimal search can fail when considering the suboptimal search.

Explanation of Solution

Proof:

  • As given in the problem, suppose h(n)h*(n)+c and let G2 be a goal that is optimal more than c. That is g(G2)>C*+c.
  • Consider any node n on a path to an optimal goal. Here,

    f(n)=g(n)+

Blurred answer
Students have asked these similar questions
using r language for integration theta = integral 0 to infinity (x^4)*e^(-x^2)/2 dx (1) use the density function of standard normal distribution N(0,1) f(x) = 1/sqrt(2pi) * e^(-x^2)/2 -infinity <x<infinity as importance function and obtain an estimate theta 1 for theta set m=100 for the estimate whatt is the estimate theta 1? (2)use the density function of gamma (r=5 λ=1/2)distribution f(x)=λ^r/Γ(r) x^(r-1)e^(-λx) x>=0 as importance function and obtain an estimate theta 2 for theta set m=1000 fir the estimate what is the estimate theta2? (3) use simulation (repeat 1000 times) to estimate the variance of the estimates theta1 and theta 2 which one has smaller variance?
using r language A continuous random variable X has density function f(x)=1/56(3x^2+4x^3+5x^4).0<=x<=2 (1) secify the density g of the random variable Y you find for the acceptance rejection method. (2) what is the value of c you choose to use for the acceptance rejection method (3) use the acceptance rejection method to generate a random sample of size 1000 from the distribution of X .graph the density histogram of the sample and compare it with the density function f(x)
using r language a continuous random variable X has density function f(x)=1/4x^3e^-(pi/2)^4,x>=0  derive the probability inverse transformation F^(-1)x where F(x) is the cdf of the random variable X
Knowledge Booster
Background pattern image
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
C++ Programming: From Problem Analysis to Program...
Computer Science
ISBN:9781337102087
Author:D. S. Malik
Publisher:Cengage Learning
Text book image
Operations Research : Applications and Algorithms
Computer Science
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Brooks Cole