brozek/website
1
0
Fork 0
mirror of https://github.com/Brandon-Rozek/website.git synced 2024-12-25 16:01:13 +00:00
Code Issues Projects Releases Packages Wiki Activity
website/static/files/research/ClusterAnalysisSpring2018.html
Brandon Rozek 50ec3688a5 Website snapshot
2020-01-15 21:51:49 -05:00

222 lines
No EOL
20 KiB
HTML
Raw Blame History

<!doctype html>
<html>
<head>
<meta charset='UTF-8'><meta name='viewport' content='width=device-width initial-scale=1'>
<title>ClusterAnalysisSpring2018.md</title><link href='http://fonts.googleapis.com/css?family=Open+Sans:400italic,700italic,700,400&subset=latin,latin-ext' rel='stylesheet' type='text/css' /><style type='text/css'>html {overflow-x: initial !important;}:root { --bg-color: #ffffff; --text-color: #333333; --code-block-bg-color: inherit; }
html { font-size: 14px; background-color: var(--bg-color); color: var(--text-color); font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; -webkit-font-smoothing: antialiased; }
body { margin: 0px; padding: 0px; height: auto; bottom: 0px; top: 0px; left: 0px; right: 0px; font-size: 1rem; line-height: 1.42857; overflow-x: hidden; background: inherit; }
a:active, a:hover { outline: 0px; }
.in-text-selection, ::selection { background: rgb(181, 214, 252); text-shadow: none; }
#write { margin: 0px auto; height: auto; width: inherit; word-break: normal; word-wrap: break-word; position: relative; padding-bottom: 70px; white-space: pre-wrap; overflow-x: visible; contain: content; }
.for-image #write { padding-left: 8px; padding-right: 8px; }
body.typora-export { padding-left: 30px; padding-right: 30px; }
@media screen and (max-width: 500px) {
body.typora-export { padding-left: 0px; padding-right: 0px; }
.CodeMirror-sizer { margin-left: 0px !important; }
.CodeMirror-gutters { display: none !important; }
}
.typora-export #write { margin: 0px auto; }
#write > p:first-child, #write > ul:first-child, #write > ol:first-child, #write > pre:first-child, #write > blockquote:first-child, #write > div:first-child, #write > table:first-child { margin-top: 30px; }
#write li > table:first-child { margin-top: -20px; }
img { max-width: 100%; vertical-align: middle; }
input, button, select, textarea { color: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; font-stretch: inherit; font-size: inherit; line-height: inherit; font-family: inherit; }
input[type="checkbox"], input[type="radio"] { line-height: normal; padding: 0px; }
::before, ::after, * { box-sizing: border-box; }
#write p, #write h1, #write h2, #write h3, #write h4, #write h5, #write h6, #write div, #write pre { width: inherit; }
#write p, #write h1, #write h2, #write h3, #write h4, #write h5, #write h6 { position: relative; }
h1 { font-size: 2rem; }
h2 { font-size: 1.8rem; }
h3 { font-size: 1.6rem; }
h4 { font-size: 1.4rem; }
h5 { font-size: 1.2rem; }
h6 { font-size: 1rem; }
p { -webkit-margin-before: 1rem; -webkit-margin-after: 1rem; -webkit-margin-start: 0px; -webkit-margin-end: 0px; }
.typora-export p { white-space: normal; }
.mathjax-block { margin-top: 0px; margin-bottom: 0px; -webkit-margin-before: 0rem; -webkit-margin-after: 0rem; }
.hidden { display: none; }
.md-blockmeta { color: rgb(204, 204, 204); font-weight: bold; font-style: italic; }
a { cursor: pointer; }
sup.md-footnote { padding: 2px 4px; background-color: rgba(238, 238, 238, 0.701961); color: rgb(85, 85, 85); border-radius: 4px; }
#write input[type="checkbox"] { cursor: pointer; width: inherit; height: inherit; margin: 4px 0px 0px; }
tr { break-inside: avoid; break-after: auto; }
thead { display: table-header-group; }
table { border-collapse: collapse; border-spacing: 0px; width: 100%; overflow: auto; break-inside: auto; text-align: left; }
table.md-table td { min-width: 80px; }
.CodeMirror-gutters { border-right: 0px; background-color: inherit; }
.CodeMirror { text-align: left; }
.CodeMirror-placeholder { opacity: 0.3; }
.CodeMirror pre { padding: 0px 4px; }
.CodeMirror-lines { padding: 0px; }
div.hr:focus { cursor: none; }
pre { white-space: pre-wrap; }
.CodeMirror-gutters { margin-right: 4px; }
.md-fences { font-size: 0.9rem; display: block; break-inside: avoid; text-align: left; overflow: visible; white-space: pre; background: var(--code-block-bg-color); position: relative !important; }
.md-diagram-panel { width: 100%; margin-top: 10px; text-align: center; padding-top: 0px; padding-bottom: 8px; overflow-x: auto; }
.md-fences .CodeMirror.CodeMirror-wrap { top: -1.6em; margin-bottom: -1.6em; }
.md-fences.mock-cm { white-space: pre-wrap; }
.show-fences-line-number .md-fences { padding-left: 0px; }
.show-fences-line-number .md-fences.mock-cm { padding-left: 40px; }
.footnotes { opacity: 0.8; font-size: 0.9rem; padding-top: 1em; padding-bottom: 1em; }
.footnotes + .footnotes { margin-top: -1em; }
.md-reset { margin: 0px; padding: 0px; border: 0px; outline: 0px; vertical-align: top; background: transparent; text-decoration: none; text-shadow: none; float: none; position: static; width: auto; height: auto; white-space: nowrap; cursor: inherit; -webkit-tap-highlight-color: transparent; line-height: normal; font-weight: normal; text-align: left; box-sizing: content-box; direction: ltr; }
li div { padding-top: 0px; }
blockquote { margin: 1rem 0px; }
li p, li .mathjax-block { margin: 0.5rem 0px; }
li { margin: 0px; position: relative; }
blockquote > :last-child { margin-bottom: 0px; }
blockquote > :first-child { margin-top: 0px; }
.footnotes-area { color: rgb(136, 136, 136); margin-top: 0.714rem; padding-bottom: 0.143rem; }
@media print {
html, body { border: 1px solid transparent; height: 99%; break-after: avoid; break-before: avoid; }
.typora-export * { -webkit-print-color-adjust: exact; }
h1, h2, h3, h4, h5, h6 { break-after: avoid-page; orphans: 2; }
p { orphans: 4; }
html.blink-to-pdf { font-size: 13px; }
.typora-export #write { padding-left: 1cm; padding-right: 1cm; padding-bottom: 0px; break-after: avoid; }
.typora-export #write::after { height: 0px; }
@page { margin: 20mm 0mm; }
}
.footnote-line { margin-top: 0.714em; font-size: 0.7em; }
a img, img a { cursor: pointer; }
pre.md-meta-block { font-size: 0.8rem; min-height: 2.86rem; white-space: pre-wrap; background: rgb(204, 204, 204); display: block; overflow-x: hidden; }
p .md-image:only-child { display: inline-block; width: 100%; text-align: center; }
#write .MathJax_Display { margin: 0.8em 0px 0px; }
.mathjax-block { white-space: pre; overflow: hidden; width: 100%; }
p + .mathjax-block { margin-top: -1.143rem; }
.mathjax-block:not(:empty)::after { display: none; }
[contenteditable="true"]:active, [contenteditable="true"]:focus { outline: none; box-shadow: none; }
.task-list { list-style-type: none; }
.task-list-item { position: relative; padding-left: 1em; }
.task-list-item input { position: absolute; top: 0px; left: 0px; }
.math { font-size: 1rem; }
.md-toc { min-height: 3.58rem; position: relative; font-size: 0.9rem; border-radius: 10px; }
.md-toc-content { position: relative; margin-left: 0px; }
.md-toc::after, .md-toc-content::after { display: none; }
.md-toc-item { display: block; color: rgb(65, 131, 196); }
.md-toc-item a { text-decoration: none; }
.md-toc-inner:hover { }
.md-toc-inner { display: inline-block; cursor: pointer; }
.md-toc-h1 .md-toc-inner { margin-left: 0px; font-weight: bold; }
.md-toc-h2 .md-toc-inner { margin-left: 2em; }
.md-toc-h3 .md-toc-inner { margin-left: 4em; }
.md-toc-h4 .md-toc-inner { margin-left: 6em; }
.md-toc-h5 .md-toc-inner { margin-left: 8em; }
.md-toc-h6 .md-toc-inner { margin-left: 10em; }
@media screen and (max-width: 48em) {
.md-toc-h3 .md-toc-inner { margin-left: 3.5em; }
.md-toc-h4 .md-toc-inner { margin-left: 5em; }
.md-toc-h5 .md-toc-inner { margin-left: 6.5em; }
.md-toc-h6 .md-toc-inner { margin-left: 8em; }
}
a.md-toc-inner { font-size: inherit; font-style: inherit; font-weight: inherit; line-height: inherit; }
.footnote-line a:not(.reversefootnote) { color: inherit; }
.md-attr { display: none; }
.md-fn-count::after { content: "."; }
.md-tag { opacity: 0.5; }
.md-comment { color: rgb(162, 127, 3); opacity: 0.8; font-family: monospace; }
code { text-align: left; }
h1 .md-tag, h2 .md-tag, h3 .md-tag, h4 .md-tag, h5 .md-tag, h6 .md-tag { font-weight: initial; opacity: 0.35; }
a.md-print-anchor { border-width: initial !important; border-style: none !important; border-color: initial !important; display: inline-block !important; position: absolute !important; width: 1px !important; right: 0px !important; outline: none !important; background: transparent !important; text-decoration: initial !important; text-shadow: initial !important; }
.md-inline-math .MathJax_SVG .noError { display: none !important; }
.mathjax-block .MathJax_SVG_Display { text-align: center; margin: 1em 0em; position: relative; text-indent: 0px; max-width: none; max-height: none; min-height: 0px; min-width: 100%; width: auto; display: block !important; }
.MathJax_SVG_Display, .md-inline-math .MathJax_SVG_Display { width: auto; margin: inherit; display: inline-block !important; }
.MathJax_SVG .MJX-monospace { font-family: monospace; }
.MathJax_SVG .MJX-sans-serif { font-family: sans-serif; }
.MathJax_SVG { display: inline; font-style: normal; font-weight: normal; line-height: normal; zoom: 90%; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; }
.MathJax_SVG * { transition: none; }
.md-diagram-panel > svg { max-width: 100%; }
[lang="flow"] svg, [lang="mermaid"] svg { max-width: 100%; }
:root { --side-bar-bg-color: #fafafa; --control-text-color: #777; }
@font-face { font-family: "Open Sans"; font-style: normal; font-weight: normal; src: local("Open Sans Regular"), url("./github/400.woff") format("woff"); }
@font-face { font-family: "Open Sans"; font-style: italic; font-weight: normal; src: local("Open Sans Italic"), url("./github/400i.woff") format("woff"); }
@font-face { font-family: "Open Sans"; font-style: normal; font-weight: bold; src: local("Open Sans Bold"), url("./github/700.woff") format("woff"); }
@font-face { font-family: "Open Sans"; font-style: italic; font-weight: bold; src: local("Open Sans Bold Italic"), url("./github/700i.woff") format("woff"); }
html { font-size: 16px; }
body { font-family: "Open Sans", "Clear Sans", "Helvetica Neue", Helvetica, Arial, sans-serif; color: rgb(51, 51, 51); line-height: 1.6; }
#write { max-width: 860px; margin: 0px auto; padding: 20px 30px 100px; }
#write > ul:first-child, #write > ol:first-child { margin-top: 30px; }
body > :first-child { margin-top: 0px !important; }
body > :last-child { margin-bottom: 0px !important; }
a { color: rgb(65, 131, 196); }
h1, h2, h3, h4, h5, h6 { position: relative; margin-top: 1rem; margin-bottom: 1rem; font-weight: bold; line-height: 1.4; cursor: text; }
h1:hover a.anchor, h2:hover a.anchor, h3:hover a.anchor, h4:hover a.anchor, h5:hover a.anchor, h6:hover a.anchor { text-decoration: none; }
h1 tt, h1 code { font-size: inherit; }
h2 tt, h2 code { font-size: inherit; }
h3 tt, h3 code { font-size: inherit; }
h4 tt, h4 code { font-size: inherit; }
h5 tt, h5 code { font-size: inherit; }
h6 tt, h6 code { font-size: inherit; }
h1 { padding-bottom: 0.3em; font-size: 2.25em; line-height: 1.2; border-bottom: 1px solid rgb(238, 238, 238); }
h2 { padding-bottom: 0.3em; font-size: 1.75em; line-height: 1.225; border-bottom: 1px solid rgb(238, 238, 238); }
h3 { font-size: 1.5em; line-height: 1.43; }
h4 { font-size: 1.25em; }
h5 { font-size: 1em; }
h6 { font-size: 1em; color: rgb(119, 119, 119); }
p, blockquote, ul, ol, dl, table { margin: 0.8em 0px; }
li > ol, li > ul { margin: 0px; }
hr { height: 4px; padding: 0px; margin: 16px 0px; background-color: rgb(231, 231, 231); border-width: 0px 0px 1px; border-style: none none solid; border-top-color: initial; border-right-color: initial; border-left-color: initial; border-image: initial; overflow: hidden; box-sizing: content-box; border-bottom-color: rgb(221, 221, 221); }
body > h2:first-child { margin-top: 0px; padding-top: 0px; }
body > h1:first-child { margin-top: 0px; padding-top: 0px; }
body > h1:first-child + h2 { margin-top: 0px; padding-top: 0px; }
body > h3:first-child, body > h4:first-child, body > h5:first-child, body > h6:first-child { margin-top: 0px; padding-top: 0px; }
a:first-child h1, a:first-child h2, a:first-child h3, a:first-child h4, a:first-child h5, a:first-child h6 { margin-top: 0px; padding-top: 0px; }
h1 p, h2 p, h3 p, h4 p, h5 p, h6 p { margin-top: 0px; }
li p.first { display: inline-block; }
ul, ol { padding-left: 30px; }
ul:first-child, ol:first-child { margin-top: 0px; }
ul:last-child, ol:last-child { margin-bottom: 0px; }
blockquote { border-left: 4px solid rgb(221, 221, 221); padding: 0px 15px; color: rgb(119, 119, 119); }
blockquote blockquote { padding-right: 0px; }
table { padding: 0px; word-break: initial; }
table tr { border-top: 1px solid rgb(204, 204, 204); margin: 0px; padding: 0px; }
table tr:nth-child(2n) { background-color: rgb(248, 248, 248); }
table tr th { font-weight: bold; border: 1px solid rgb(204, 204, 204); text-align: left; margin: 0px; padding: 6px 13px; }
table tr td { border: 1px solid rgb(204, 204, 204); text-align: left; margin: 0px; padding: 6px 13px; }
table tr th:first-child, table tr td:first-child { margin-top: 0px; }
table tr th:last-child, table tr td:last-child { margin-bottom: 0px; }
.CodeMirror-gutters { border-right: 1px solid rgb(221, 221, 221); }
.md-fences, code, tt { border: 1px solid rgb(221, 221, 221); background-color: rgb(248, 248, 248); border-radius: 3px; font-family: Consolas, "Liberation Mono", Courier, monospace; padding: 2px 4px 0px; font-size: 0.9em; }
.md-fences { margin-bottom: 15px; margin-top: 15px; padding: 8px 1em 6px; }
.task-list { padding-left: 0px; }
.task-list-item { padding-left: 32px; }
.task-list-item input { top: 3px; left: 8px; }
@media screen and (min-width: 914px) {
}
@media print {
html { font-size: 13px; }
table, pre { break-inside: avoid; }
pre { word-wrap: break-word; }
}
.md-fences { background-color: rgb(248, 248, 248); }
#write pre.md-meta-block { padding: 1rem; font-size: 85%; line-height: 1.45; background-color: rgb(247, 247, 247); border: 0px; border-radius: 3px; color: rgb(119, 119, 119); margin-top: 0px !important; }
.mathjax-block > .code-tooltip { bottom: 0.375rem; }
#write > h3.md-focus::before { left: -1.5625rem; top: 0.375rem; }
#write > h4.md-focus::before { left: -1.5625rem; top: 0.285714rem; }
#write > h5.md-focus::before { left: -1.5625rem; top: 0.285714rem; }
#write > h6.md-focus::before { left: -1.5625rem; top: 0.285714rem; }
.md-image > .md-meta { border: 1px solid rgb(221, 221, 221); border-radius: 3px; font-family: Consolas, "Liberation Mono", Courier, monospace; padding: 2px 4px 0px; font-size: 0.9em; color: inherit; }
.md-tag { color: inherit; }
.md-toc { margin-top: 20px; padding-bottom: 20px; }
.sidebar-tabs { border-bottom: none; }
#typora-quick-open { border: 1px solid rgb(221, 221, 221); background-color: rgb(248, 248, 248); }
#typora-quick-open-item { background-color: rgb(250, 250, 250); border-color: rgb(254, 254, 254) rgb(229, 229, 229) rgb(229, 229, 229) rgb(238, 238, 238); border-style: solid; border-width: 1px; }
#md-notification::before { top: 10px; }
.on-focus-mode blockquote { border-left-color: rgba(85, 85, 85, 0.117647); }
header, .context-menu, .megamenu-content, footer { font-family: "Segoe UI", Arial, sans-serif; }
.file-node-content:hover .file-node-icon, .file-node-content:hover .file-node-open-state { visibility: visible; }
.mac-seamless-mode #typora-sidebar { background-color: var(--side-bar-bg-color); }
.md-lang { color: rgb(180, 101, 77); }
</style>
</head>
<body class='typora-export' >
<div id='write' class = 'is-node'><h1><a name='header-n0' class='md-header-anchor '></a>Cluster Analysis Spring 2018</h1><h3><a name='header-n72' class='md-header-anchor '></a>Distance, Dimensionality Reduction, and Tendency</h3><ul><li><p>Distance</p><ul><li>Euclidean Distance</li><li>Squared Euclidean Distance</li><li>Manhattan Distance</li><li>Maximum Distance</li><li>Mahalanobis Distance</li></ul></li><li><p>Which distance function should you use?</p></li><li><p>PCA</p></li><li><p>Cluster Tendency</p><ul><li>Hopkins Statistic</li></ul></li><li><p>Scaling Data</p></li></ul><h3><a name='header-n109' class='md-header-anchor '></a>Validating Clustering Models</h3><ul><li>Clustering Validation</li><li>Cross Validation</li></ul><h3><a name='header-n117' class='md-header-anchor '></a>Connectivity Models</h3><ul><li><p>Agglomerative Clustering</p><ul><li>Single Linkage Clustering</li><li>Complete Linkage Clustering</li><li>Unweighted Pair Group Method with Arithmetic Mean (If time permits)</li></ul></li><li><p>Dendrograms</p></li><li><p>Divisive Clustering</p></li><li><p>CURE (Clustering using REpresentatives) algorithm (If time permits)</p></li></ul><h3><a name='header-n141' class='md-header-anchor '></a>Cluster Evaluation</h3><ul><li><p>Internal Evaluation</p><ul><li>Dunn Index</li><li>Silhouette Coefficient</li><li>Davies-Bouldin Index (If time permits)</li></ul></li><li><p>External Evaluation</p><ul><li>Rand Measure</li><li>Jaccard Index</li><li>Dice Index</li><li>Confusion Matrix</li><li>F Measure (If time permits)</li><li>Fowlkes-Mallows Index (If time permits)</li></ul></li></ul><h3><a name='header-n178' class='md-header-anchor '></a>Centroid Models</h3><ul><li>Jenks Natural Breaks Optimization</li><li>Voronoi Diagram</li><li>K means clustering</li><li>K medoids clustering</li><li>K Medians/Modes clustering</li><li>When to use K means as opposed to K medoids or K Medians?</li><li>How many clusters should you use?</li><li>Lloyd&#39;s Algorithm for Approximating K-means (If time permits)</li></ul><h3><a name='header-n204' class='md-header-anchor '></a>Density Models</h3><ul><li>DBSCAN Density Based Clustering Algorithm</li><li>OPTICS Ordering Points To Identify the Clustering Structure</li><li>DeLi-Clu Density Link Clustering (If time permits)</li><li>What should be your density threshold?</li></ul><h3><a name='header-n218' class='md-header-anchor '></a>Analysis of Model Appropriateness</h3><ul><li>When do we use each of the models above?</li></ul><h3><a name='header-n223' class='md-header-anchor '></a>Distribution Models (If time permits)</h3><ul><li>Fuzzy Clusters</li><li>EM (Expectation Maximization) Clustering</li><li>Maximum Likelihood Gaussian</li><li>Probabilistic Hierarchal Clustering</li></ul><p></p><h2><a name='header-n239' class='md-header-anchor '></a>Textbooks</h2><p>Cluster Analysis 5th Edition</p><ul><li>Authors: Brian S. Everitt, Sabine Landau, Morven Leese, Daniel Stahl</li><li>ISBN-13: 978-0470749913</li><li>Cost: Free on UMW Library Site</li><li>Amazon Link: <a href='https://www.amazon.com/Cluster-Analysis-Brian-S-Everitt/dp/0470749911/ref=sr_1_1?ie=UTF8&qid=1509135983&sr=8-1' target='_blank' >https://www.amazon.com/Cluster-Analysis-Brian-S-Everitt/dp/0470749911/ref=sr_1_1?ie=UTF8&qid=1509135983&sr=8-1</a></li><li>Table of Contents: <a href='http://www.wiley.com/WileyCDA/WileyTitle/productCd-EHEP002266.html' target='_blank' >http://www.wiley.com/WileyCDA/WileyTitle/productCd-EHEP002266.html</a></li></ul><p>Cluster Analysis: 2014 Edition (Statistical Associates Blue Book Series 24) <br/></p><ul><li>Author: David Garson</li><li>ISBN: 978-1-62638-030-1</li><li>Cost: Free with Site Registration</li><li>Website: <a href='http://www.statisticalassociates.com/clusteranalysis.htm' target='_blank' >http://www.statisticalassociates.com/clusteranalysis.htm</a></li></ul><h2><a name='header-n276' class='md-header-anchor '></a>Schedule</h2><p>In an ideal world, the topics below I estimated being a certain time period for learning them. Of course you have more experience when it comes to how long it actually takes to learn these topics, so I&#39;ll leave this mostly to your discretion.</p><p><strong>Distance, Dimensionality Reduction, and Tendency</strong> -- 3 Weeks</p><p><strong>Validating Cluster Models</strong> -- 1 Week</p><p><strong>Connectivity Models</strong> -- 2 Weeks</p><p><strong>Cluster Evaluation</strong> -- 1 Week</p><p><strong>Centroid Models</strong> -- 3 Weeks</p><p><strong>Density Models</strong> -- 3 Weeks</p><p><strong>Analysis of Model Appropriateness</strong> -- 1 Week</p><p>The schedule above accounts for 14 weeks, so there is a week that is free as a buffer.</p><h2><a name='header-n295' class='md-header-anchor '></a>Conclusion</h2><p>Creating this document got me really excited for this independent study. Feel free to give me feedback :)</p></div>
</body>
</html>
Reference in a new issue View git blame Copy permalink