8. Assume our hypothesis class is the set of lines, and we use a line to separate the positive and negative examples, instead of bounding the positive exam- ples as in a rectangle, leaving the negatives outside (see figure 2.13). Show that the VC dimension of a line is 3. Figure 2.13 A line separating positive and negative instances.

8. Assume our hypothesis class is the set of lines, and we use a line to separate the positive and negative examples, instead of bounding the positive exam- ples as in a rectangle, leaving the negatives outside (see figure 2.13). Show that the VC dimension of a line is 3. Figure 2.13 A line separating positive and negative instances.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Intelligent Machines

Machines that use artificial intelligence to learn from the environment and past experiences to perform better in the presence of variability and uncertainty are called intelligent machines. Intelligence develops according to environment and experience. It is human-like behavior. When the computer system or any programmed machine learns from the inputs and corresponding outputs, it can be called an intelligent machine.

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8. Assume our hypo thesis class is the set of lines, and we use a line to separate
the positive and negative examples, instead of bounding the positive exam-
ples as in a rectangle, leaving the negatives outside (see figure 2.13). Show
that the VC dimension of a line is 3.
Xx
Figure 2.13 A line separating positive and negative instances.

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