<?xml version="1.0" encoding="ISO-8859-1"?>
<!--
  This file uses MATHML. Internet Explorer does not support MATHML.
  You can use Mozilla to view this file. -->
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN" "http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en" xmlns:math="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">
<head>
<title>Unbiased Learner</title>
<meta name="AUTHOR" content="Jose M Vidal"></meta>
<meta name="GENERATOR" content="xslides.el, written by J.M. Vidal"></meta>
<link rel="next" href="futilityofnobias.xml" title="Futility of Bias-Free Learning"/>
<link rel="previous" href="inductivebias.xml"  title="Inductive Bias"/>
<link rel="author" href="../../index.html" title="Jose M Vidal"/>
<link rel="parent" href="index.xml" title="Index"/>
<link rel="top" href="../index.html" title="Presentation List"/>

<link rel="stylesheet" type="text/css" href="../xslides-medwhite.css" title="White" media="all" />
 	    <link rel="alternate stylesheet" type="text/css" href="../xslides-medblue.css" title="Blue" media="all" />
 	    <link rel="alternate stylesheet" type="text/css" href="../xslides-usc.css" title="USCTheme" media="all" />
<script language="javascript" type="text/javascript" src="../scripts/stylehelper.js"></script>
</head>
<body>
<div class="navbar">
<p>
<a onclick="javascript:this.href=getURL('inductivebias.xml');return true;" rel="prev" href="inductivebias.xml" accesskey="P" title="Inductive Bias">&larr;</a>
<a rel="index" href="index.xml" onclick="javascript:this.href=getURL('index.xml');return true;" accesskey="I" title="Index Page">^</a>
<a rel="next" href="futilityofnobias.xml" onclick="javascript:this.href=getURL('futilityofnobias.xml');return true;" accesskey="N" title="Futility of Bias-Free Learning">&rarr;</a>
</p>
</div>
<h1 class="slide">Unbiased Learner</h1>
<div class="slidebody">
      <ul>
	<li>We could define an unbiased hypothesis space by allowing
	arbitrary conjunctions, disjunctions, and negations. </li>

	<li>The number of possible hypothesis (ignoring semantic
	repetition) is <math xmlns="http://www.w3.org/1998/Math/MathML">
<msup><mn>2</mn> <mrow><mo>|</mo>
<mi>X</mi><mo>|</mo></mrow></msup>

</math>. </li>

	<li><em>The Candidate-Elimination algorithm, if applied to
	this hypothesis space, will be unable to generalize beyond the
	observed examples!</em> </li>

	<li>So, in order to learn the concept we would need to present
	every single example. </li>

	<li>If we use a partially-learned concept, then <em>exactly
	half</em> of the hypotheses will vote positive and half
	negative for every unseen example. </li>
      </ul>
    </div><hr class="bottom"/>
<table class="footer" cellspacing="0" cellpadding="0" border="0" width="97%" summary="footer">
<tr valign="bottom">
<td><p class="author"><a href="../../index.html">Jos&eacute; M. Vidal</a>
<a class="remote" href=" http://validator.w3.org/check?uri=http://jmvidal.cse.sc.edu/talks/conceptlearning/unbiasedlearner.xml">.</a></p>
</td>
<td align="right"><p class="index">29 of 31</p></td>
</tr>
</table>
</body>
</html>