Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

A decision tree is similar to a 1-decision list, except now we allow the single literal decision conditions to be placed in a binary tree,

A decision tree is similar to a 1-decision list, except now we allow the single literal decision conditions to be placed in a binary tree, with the decisin bits placed only at the leaves. To evaluate such a tree T on a input of a eplision {0,1)^n, we follow the path through T defined by starting at the root T and evaluating the literal at each node on input a, going left if the evaluation yields 0 and right if ti yields 1. The value T(a) is the bit value stored at the leaf reached by this path.

image text in transcribed

image text in transcribed

Occam's Razor 45 starting at the root of T and evaluating the literal at each node on input a, going left if the evaluation yields 0 and right if it yields 1. The value T(a) is the bit value stored at the leaf reached by this path. Figure 2.2 shows an example of a decision tree along with its evaluation on an input. We define the rank of a decision tree T recursively as follows: rank of a tree consisting of a single node is 0. If the ranks of T's left subtrees and right subtrees are ri and rR respectively, then if TR the rank of T is TL +1; otherwise, it is max(rL, TR). The rank is a measure the of how "unbalanced" the tree is. Compute the rank of the decision tree given in Figure 2.2, and shovw that the class of functions computed by rank r decision trees is included in the class of functions computed by r-decision lists. Thus, for any fixed r we can efficiently PAC learn rank r decision trees

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Visual C# And Databases

Authors: Philip Conrod, Lou Tylee

16th Edition

1951077083, 978-1951077082

Students also viewed these Databases questions