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   <h2 class="chapterHead"><span class="titlemark">Chapter&#x00A0;2</span><br /><a 
  name="x10-90002"></a>Formal Model and Context</h2>
   <div class="sectionTOCS"><span class="sectionToc">&#x00A0;2.1.&#x00A0;&#x00A0;<a 
href="thesisse6.xml#x11-100002.1" name="QQ2-11-10">Formal Model</a></span><br /><span class="sectionToc">&#x00A0;2.2.&#x00A0;&#x00A0;<a 
href="thesisse7.xml#x12-110002.2" name="QQ2-12-11">Relationship to Prior Work</a></span><br /><span class="subsectionToc">&#x00A0;&#x00A0;&#x00A0;2.2.1.&#x00A0;&#x00A0;<a 
href="thesisse7.xml#x12-120002.2.1" name="QQ2-12-12">Distribution free
learning</a></span><br /><span class="subsectionToc">&#x00A0;&#x00A0;&#x00A0;2.2.2.&#x00A0;&#x00A0;<a 
href="thesisse7.xml#x12-130002.2.2" name="QQ2-12-13">Bayesian Analysis</a></span><br /><span class="sectionToc">&#x00A0;2.3.&#x00A0;&#x00A0;<a 
href="thesisse8.xml#x13-140002.3" name="QQ2-13-14">Overview of the document</a></span><br /><span class="subsectionToc">&#x00A0;&#x00A0;&#x00A0;2.3.1.&#x00A0;&#x00A0;<a 
href="thesisse8.xml#x13-150002.3.1" name="QQ2-13-15">Microchoice
Bounds</a></span><br /><span class="subsectionToc">&#x00A0;&#x00A0;&#x00A0;2.3.2.&#x00A0;&#x00A0;<a 
href="thesisse8.xml#x13-160002.3.2" name="QQ2-13-16">Pac-Bayes Bounds</a></span><br /><span class="subsectionToc">&#x00A0;&#x00A0;&#x00A0;2.3.3.&#x00A0;&#x00A0;<a 
href="thesisse8.xml#x13-170002.3.3" name="QQ2-13-17">Averaging Bounds</a></span><br /><span class="subsectionToc">&#x00A0;&#x00A0;&#x00A0;2.3.4.&#x00A0;&#x00A0;<a 
href="thesisse8.xml#x13-180002.3.4" name="QQ2-13-18">Shell Bounds</a></span><br /><span class="subsectionToc">&#x00A0;&#x00A0;&#x00A0;2.3.5.&#x00A0;&#x00A0;<a 
href="thesisse8.xml#x13-190002.3.5" name="QQ2-13-19">Bracketing
Covering Number Bounds</a></span><br /><span class="subsectionToc">&#x00A0;&#x00A0;&#x00A0;2.3.6.&#x00A0;&#x00A0;<a 
href="thesisse8.xml#x13-200002.3.6" name="QQ2-13-20">Progressive Validation</a></span><br /><span class="subsectionToc">&#x00A0;&#x00A0;&#x00A0;2.3.7.&#x00A0;&#x00A0;<a 
href="thesisse8.xml#x13-210002.3.7" name="QQ2-13-21">Combining training and test sets</a></span><br />
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