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@martianboy
Last active August 29, 2015 14:01
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Dirichlet distribution
<style type='text/css'>
@import url(http://fonts.googleapis.com/css?family=Libre+Baskerville);
@import url(http://fonts.googleapis.com/earlyaccess/droidarabicnaskh.css);
.text_cell_render.rendered_html {
font-family: "Droid Arabic Naskh", "Libre Baskerville", serif;
direction: rtl;
line-height: 1.518em;
}
.text_cell_render.rendered_html h1,
.text_cell_render.rendered_html h2 {
text-align: center;
}
.text_cell_render.rendered_html h1 {
font-size: 2em;
color: #D55523;
}
.text_cell_render.rendered_html h2 {
font-size: 1.25em;
}
.text_cell_render.rendered_html h1 + h2 {
margin-bottom: 0.65em;
}
.text_cell_render.rendered_html p {
font-size: 1em;
}
.text_cell_render.rendered_html thead {
display: none;
}
.text_cell_render.rendered_html td[align=right] {
direction: ltr;
}
</style>
<script>
MathJax.Hub.Config({
"HTML-CSS": {
scale: 65
}
});
</script>
Display the source blob
Display the rendered blob
Raw
{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#\u062a\u0648\u0632\u06cc\u0639 \u062a\u0635\u0627\u062f\u0641\u06cc \u062f\u06cc\u0631\u06cc\u06a9\u0644\u0647\n",
"##\u0628\u0631\u0627\u06cc \u0645\u062f\u0644\u200c\u0633\u0627\u0632\u06cc \u062a\u0648\u0627\u0628\u0639 \u062c\u0631\u0645 \u0627\u062d\u062a\u0645\u0627\u0644"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u06cc\u06a9 \u062a\u0627\u0633 \u0634\u0634\u200c\u0633\u0648\u06cc\u0647 \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0646\u0645\u0648\u0646\u0647\u200c\u0627\u06cc \u0627\u0632 \u06cc\u06a9 \u062a\u0627\u0628\u0639 \u062c\u0631\u0645 \u0627\u062d\u062a\u0645\u0627\u0644 (\u06a9\u0647 \u0627\u0632 \u0627\u06cc\u0646 \u067e\u0633 \u0628\u0647 \u0627\u062e\u062a\u0635\u0627\u0631 pmf \u062e\u0648\u0627\u0647\u06cc\u0645 \u0646\u0627\u0645\u06cc\u062f) \u062f\u0627\u0646\u0633\u062a. \u0628\u0631\u0627\u06cc \u0646\u0645\u0648\u0646\u0647\u200c\u06af\u06cc\u0631\u06cc \u0627\u0632 \u0627\u06cc\u0646 pmf\u060c \u062a\u0627\u0633 \u0645\u06cc\u200c\u0627\u0646\u062f\u0627\u0632\u06cc\u0645 \u0648 \u0639\u062f\u062f\u06cc \u0628\u06cc\u0646 \u06cc\u06a9 \u062a\u0627 \u0634\u0634 \u0645\u06cc\u200c\u0628\u06cc\u0646\u06cc\u0645. \u0627\u0645\u0627 \u0642\u0648\u0627\u0646\u06cc\u0646 \u0641\u06cc\u0632\u06cc\u06a9 \u0648 \u0634\u0631\u0627\u06cc\u0637 \u062a\u0648\u0644\u06cc\u062f \u062f\u0631 \u06a9\u0627\u0631\u062e\u0627\u0646\u0647\u200c\u0647\u0627 \u0645\u0648\u062c\u0628 \u0645\u06cc\u200c\u0634\u0648\u062f \u062a\u0627 \u062a\u0627\u0633\u200c\u0647\u0627\u06cc \u0648\u0627\u0642\u0639\u06cc \u06a9\u0627\u0645\u0644\u0627 \u06cc\u06a9\u200c\u0646\u0648\u0627\u062e\u062a \u0646\u0628\u0627\u0634\u0646\u062f. \u06cc\u06a9 \u06a9\u06cc\u0633\u0647\u200c\u06cc \u0635\u062f\u062a\u0627\u06cc\u06cc \u0627\u0632 \u062a\u0627\u0633\u200c\u0647\u0627\u060c \u0646\u0645\u0648\u0646\u0647\u200c\u0627\u06cc \u0627\u0632 \u06cc\u06a9 pmf \u062a\u0635\u0627\u062f\u0641\u06cc \u0627\u0633\u062a. \u0628\u0631\u0627\u06cc \u0646\u0645\u0648\u0646\u0647\u200c\u06af\u06cc\u0631\u06cc \u0627\u0632 \u0627\u06cc\u0646 \u0645\u062a\u063a\u06cc\u0631 \u062a\u0635\u0627\u062f\u0641\u06cc\u060c \u062f\u0633\u062a \u062f\u0631 \u06a9\u06cc\u0633\u0647 \u0628\u0631\u062f\u0647 \u0648 \u06cc\u06a9 \u062a\u0627\u0633 \u0631\u0627 \u0628\u06cc\u0631\u0648\u0646 \u0645\u06cc\u200c\u0622\u0648\u0631\u06cc\u0645\u061b \u06cc\u0639\u0646\u06cc\u060c \u06cc\u06a9 pmf \u0646\u0645\u0648\u0646\u0647 \u0627\u0646\u062a\u062e\u0627\u0628 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645. \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0627\u0646\u062a\u0638\u0627\u0631 \u062f\u0627\u0634\u062a \u06cc\u06a9 \u06a9\u06cc\u0633\u0647 \u0627\u0632 \u062a\u0627\u0633\u200c\u0647\u0627 \u06a9\u0647 \u0628\u0627 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0642\u062f\u06cc\u0645\u06cc \u06cc\u06a9 \u0642\u0631\u0646 \u067e\u06cc\u0634 \u0633\u0627\u062e\u062a\u0647 \u0634\u062f\u0647\u060c \u0628\u0647 \u0634\u062f\u062a \u0646\u0633\u0628\u062a \u0628\u0647 pmf \u06cc\u06a9\u200c\u0646\u0648\u0627\u062e\u062a \u0627\u0646\u062d\u0631\u0627\u0641 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u0646\u062f\u061b \u0627\u0645\u0627 \u062f\u0631 \u06cc\u06a9 \u06a9\u06cc\u0633\u0647 \u0627\u0632 \u062a\u0627\u0633\u200c\u0647\u0627\u06cc \u0622\u062e\u0631\u06cc\u0646 \u0645\u062f\u0644\u06cc \u06a9\u0647 \u062f\u0631 \u0642\u0645\u0627\u0631\u062e\u0627\u0646\u0647\u200c\u0647\u0627\u06cc \u0644\u0627\u0633 \u0648\u06af\u0627\u0633 \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0642\u0631\u0627\u0631 \u0645\u06cc\u200c\u06af\u06cc\u0631\u062f\u060c \u0628\u0647 \u0633\u062e\u062a\u06cc \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0627\u0646\u062d\u0631\u0627\u0641 \u0642\u0627\u0628\u0644 \u0644\u0645\u0633 \u067e\u06cc\u062f\u0627 \u06a9\u0631\u062f. \u062a\u0635\u0627\u062f\u0641\u06cc\u200c\u0628\u0648\u062f\u0646 \u062a\u0648\u0627\u0628\u0639 \u062c\u0631\u0645 \u0627\u062d\u062a\u0645\u0627\u0644 \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0627 \u00ab\u062a\u0648\u0632\u06cc\u0639 \u062f\u06cc\u0631\u06cc\u06a9\u0644\u0647\u00bb \u0645\u062f\u0644 \u06a9\u0631\u062f.\n",
"\n",
"\u06a9\u0627\u0631\u0628\u0631\u062f \u062a\u0648\u0632\u06cc\u0639 \u062f\u06cc\u0631\u06cc\u06a9\u0644\u0647 \u0628\u0647 \u062e\u0635\u0648\u0635 \u062f\u0631 \u0632\u0645\u06cc\u0646\u0647\u0654 \u0645\u062f\u0644\u200c\u0633\u0627\u0632\u06cc \u062a\u0648\u0632\u06cc\u0639 \u0648\u0627\u0698\u06af\u0627\u0646 \u062f\u0631 \u0627\u0633\u0646\u0627\u062f \u0645\u062a\u0646\u06cc \u0645\u0641\u06cc\u062f \u0648\u0627\u0642\u0639 \u0634\u062f\u0647 \u0627\u0633\u062a. \u0627\u06af\u0631 \u06cc\u06a9 \u0648\u0627\u0698\u0647\u200c\u0646\u0627\u0645\u0647 \u0634\u0627\u0645\u0644 k \u0648\u0627\u0698\u0647 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u0645\u060c \u062f\u0631 \u0627\u06cc\u0646 \u0635\u0648\u0631\u062a \u06cc\u06a9 \u0633\u0646\u062f \u0645\u062a\u0646\u06cc \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0647 \u0635\u0648\u0631\u062a \u06cc\u06a9 pmf \u0628\u0647 \u0637\u0648\u0644 k \u0646\u0645\u0627\u06cc\u0634 \u062f\u0627\u062f \u06a9\u0647 \u0627\u062d\u062a\u0645\u0627\u0644 \u0647\u0631 \u062c\u0632\u0621 \u06cc\u0627 \u0648\u0627\u0698\u0647\u060c \u0646\u0633\u0628\u062a \u062a\u0639\u062f\u0627\u062f \u062a\u06a9\u0631\u0627\u0631 \u0622\u0646 \u0648\u0627\u0698\u0647 \u0628\u0647 \u062a\u0639\u062f\u0627\u062f \u06a9\u0644 \u0648\u0627\u0698\u06af\u0627\u0646 \u0645\u0648\u062c\u0648\u062f \u062f\u0631 \u0622\u0646 \u0633\u0646\u062f \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f. \u06cc\u06a9 \u0645\u062c\u0645\u0648\u0639\u0647 \u0627\u0632 \u0627\u0633\u0646\u0627\u062f \u0645\u062a\u0646\u06cc\u060c \u062f\u0633\u062a\u0647\u200c\u0627\u06cc \u0627\u0632 pmf\u0647\u0627 \u0631\u0627 \u062a\u0634\u06a9\u06cc\u0644 \u0645\u06cc\u200c\u062f\u0647\u0646\u062f \u0648 \u0645\u0627 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u062a\u0648\u0632\u06cc\u0639 \u062f\u06cc\u0631\u06cc\u06a9\u0644\u0647\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u067e\u0631\u0627\u06a9\u0646\u062f\u06af\u06cc \u0622\u0646\u200c\u0647\u0627 \u0631\u0627 \u0645\u062f\u0644\u200c\u0633\u0627\u0632\u06cc \u06a9\u0646\u06cc\u0645. \u062a\u0648\u0632\u06cc\u0639\u200c\u0647\u0627\u06cc \u062f\u06cc\u0631\u06cc\u06a9\u0644\u0647 \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0631\u0627\u06cc \u0645\u062f\u0644\u200c\u0633\u0627\u0632\u06cc \u0627\u0633\u0646\u0627\u062f \u0628\u0631 \u0627\u0633\u0627\u0633 \u0646\u0648\u06cc\u0633\u0646\u062f\u06af\u0627\u0646 \u06cc\u0627 \u0645\u0648\u0636\u0648\u0639\u0627\u062a \u0645\u062e\u062a\u0644\u0641 \u0628\u0647 \u06a9\u0627\u0631\u0628\u0631\u062f.\n",
"\n",
"\u062f\u0631 \u0627\u0628\u062a\u062f\u0627 \u0628\u0647 \u062a\u0648\u0632\u06cc\u0639 \u062f\u06cc\u0631\u06cc\u06a9\u0644\u0647 \u0648 \u0628\u0631\u062e\u06cc \u0627\u0632 \u062e\u0635\u0648\u0635\u06cc\u0627\u062a \u062c\u0627\u0644\u0628 \u062a\u0648\u062c\u0647 \u0622\u0646 \u0645\u06cc\u200c\u067e\u0631\u062f\u0627\u0632\u06cc\u0645."
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"\u062a\u0639\u0631\u06cc\u0641 \u062a\u0648\u0632\u06cc\u0639 \u062f\u06cc\u0631\u06cc\u06a9\u0644\u0647"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u06cc\u06a9 pmf \u0628\u0627 $k$ \u062c\u0632\u0621 \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0647 \u0635\u0648\u0631\u062a \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0631\u0648\u06cc \u0633\u06cc\u0645\u067e\u0644\u06a9\u0633 $k-1$ \u0628\u0639\u062f\u06cc \u0627\u062d\u062a\u0645\u0627\u0644 \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a. \u0627\u06cc\u0646 \u0633\u06cc\u0645\u067e\u0644\u06a9\u0633 \u06a9\u0647 \u0628\u0627 $\\Delta_k$ \u0646\u0645\u0627\u06cc\u0634 \u062f\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f\u060c \u0645\u062c\u0645\u0648\u0639\u0647\u200c\u06cc \u0628\u0631\u062f\u0627\u0631\u0647\u0627\u06cc\u06cc \u0628\u0627 \u0639\u0646\u0627\u0635\u0631 \u0646\u0627\u0645\u0646\u0641\u06cc \u0627\u0633\u062a \u06a9\u0647 \u062c\u0645\u0639 \u0639\u0646\u0627\u0635\u0631\u0634\u0627\u0646 \u0628\u0631\u0627\u0628\u0631 \u06cc\u06a9 \u0628\u0627\u0634\u062f\u061b \u06cc\u0639\u0646\u06cc: $\\Delta_k=\\left\\{q\\in\\mathbb{R}:\\sum^k_{i=1}{q_i}=1,\\,q_i\\geq 0 \\;\\text{for}\\;i\\in\\{1,\\dots,k\\}\\right\\}$. \u0628\u0627 \u0627\u06cc\u0646 \u06a9\u0647 $\\Delta_k$ \u062f\u0631 \u0641\u0636\u0627\u06cc $k$ \u0628\u0639\u062f\u06cc \u0642\u0631\u0627\u0631 \u0645\u06cc\u200c\u06af\u06cc\u0631\u062f\u060c \u062e\u0648\u062f \u06cc\u06a9 \u0634\u06cc\u0621 $k-1$ \u0628\u0639\u062f\u06cc \u0627\u0633\u062a. \u0647\u0631 \u0646\u0642\u0637\u0647 $q$ \u0631\u0648\u06cc \u0627\u06cc\u0646 \u0633\u06cc\u0645\u067e\u0644\u06a9\u0633 \u0628\u0647 \u062e\u0648\u062f\u06cc \u062e\u0648\u062f \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u06cc\u06a9 \u062a\u0627\u0628\u0639 \u062c\u0631\u0645 \u0627\u062d\u062a\u0645\u0627\u0644 \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0647 \u0634\u0648\u062f\u061b \u0686\u0631\u0627 \u06a9\u0647 \u0647\u0631 \u062c\u0632\u0621 $q$ \u0646\u0627\u0645\u0646\u0641\u06cc \u0627\u0633\u062a \u0648 \u062c\u0645\u0639 \u062a\u0645\u0627\u0645 \u0627\u062c\u0632\u0627\u0621 \u0628\u0631\u0627\u0628\u0631 \u06cc\u06a9 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f. \u062a\u0648\u0632\u06cc\u0639 \u062f\u06cc\u0631\u06cc\u06a9\u0644\u0647 \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u06cc\u06a9 \u062a\u0648\u0632\u06cc\u0639 \u0627\u062d\u062a\u0645\u0627\u0644\u06cc \u0631\u0648\u06cc \u0633\u06cc\u0645\u067e\u0644\u06a9\u0633 \u0627\u062d\u062a\u0645\u0627\u0644\u06cc $k-1$\u0628\u0639\u062f\u06cc $\\Delta_k$ \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u061b \u06cc\u0639\u0646\u06cc \u062a\u0648\u0632\u06cc\u0639\u06cc \u0631\u0648\u06cc \u0647\u0645\u0647\u200c\u06cc pmf\u0647\u0627 \u0627\u0632 \u0637\u0648\u0644 k.\n",
"\n",
"**\u062a\u0648\u0632\u06cc\u0639 \u062f\u06cc\u0631\u06cc\u06a9\u0644\u0647:** \u0641\u0631\u0636 \u06a9\u0646\u06cc\u0645 $Q=\\left[Q_1,\\dots,Q_k\\right]$ \u06cc\u06a9 pmf \u062a\u0635\u0627\u062f\u0641\u06cc \u0628\u0627\u0634\u062f\u061b \u06cc\u0639\u0646\u06cc \u06cc\u06a9 \u0645\u062a\u063a\u06cc\u0631 \u062a\u0635\u0627\u062f\u0641\u06cc \u06a9\u0647 \u0647\u0631 \u0646\u0645\u0648\u0646\u0647 \u0627\u0632 \u0622\u0646 \u06cc\u06a9 pmf \u0627\u0633\u062a. \u0647\u0645\u0686\u0646\u06cc\u0646 \u0641\u0631\u0636 \u06a9\u0646\u06cc\u0645 $\\alpha=\\left[\\alpha_1,\\dots,\\alpha_k\\right]$ \u0628\u0627 \u0634\u0631\u0637 $\\alpha_i>0$ \u0628\u0647 \u0627\u0632\u0627\u06cc \u0647\u0631 $i$ \u0628\u0627\u0634\u062f \u0648 \u06af\u06cc\u0631\u06cc\u0645 $\\alpha_0=\\sum^k_{i=1}{\\alpha_i}$. \u062f\u0631 \u0627\u06cc\u0646 \u0635\u0648\u0631\u062a \u06af\u0648\u06cc\u06cc\u0645 $Q$ \u062f\u0627\u0631\u0627\u06cc \u062a\u0648\u0632\u06cc\u0639 \u062f\u06cc\u0631\u06cc\u06a9\u0644\u0647 \u0628\u0627 \u067e\u0627\u0631\u0627\u0645\u062a\u0631 $\\alpha$ \u0627\u0633\u062a \u0648 \u0622\u0646 \u0631\u0627 \u0628\u0627 $Q\\sim\\text{Dir}\\left(\\alpha\\right)$ \u0646\u0634\u0627\u0646 \u0645\u06cc\u200c\u062f\u0647\u06cc\u0645\u060c \u0647\u0631\u06af\u0627\u0647 \u0627\u06af\u0631 $q$ \u06cc\u06a9 pmf \u0646\u0628\u0627\u0634\u062f\u060c \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u0645 $f(q;\\alpha)=0$ \u0648 \u0627\u06af\u0631 $q$ \u06cc\u06a9 pmf \u0628\u0627\u0634\u062f\u060c \u0622\u0646\u06af\u0627\u0647:\n",
"\n",
"$$f(q;\\alpha)=\\frac{\\Gamma\\left(\\alpha_0\\right)}{\\prod^k_{i=1}{\\Gamma\\left(\\alpha_i\\right)}}\\prod^k_{i=1}{q_i^{\\alpha_i-1}}$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u062f\u0631 \u0634\u06a9\u0644\u200c\u0647\u0627\u06cc \u0632\u06cc\u0631\u060c \u0627\u0632 \u062a\u0648\u0632\u06cc\u0639 \u062f\u06cc\u0631\u06cc\u06a9\u0644\u0647 \u0628\u0627 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u062e\u062a\u0644\u0641 \u0628\u0631\u062f\u0627\u0631 $\\alpha$ \u062a\u0639\u062f\u0627\u062f \u06f2\u06f0\u06f0 \u0646\u0645\u0648\u0646\u0647 \u06af\u0631\u0641\u062a\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a. \u062f\u06cc\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f \u06a9\u0647 \u0627\u06af\u0631 \u0647\u0645\u0647 \u06cc \u0639\u0646\u0627\u0635\u0631 $\\alpha$ \u0628\u0631\u0627\u0628\u0631 \u0628\u0627\u0634\u0646\u062f\u060c \u062a\u0645\u0631\u06a9\u0632 \u0646\u0645\u0648\u0646\u0647\u200c\u0647\u0627 \u062d\u0648\u0644 \u0645\u0631\u06a9\u0632 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f. \u0627\u06af\u0631 \u0639\u0646\u0627\u0635\u0631 \u06a9\u0645\u062a\u0631 \u0627\u0632 \u06cc\u06a9 \u0628\u0627\u0634\u0646\u062f\u060c \u0646\u0645\u0648\u0646\u0647\u200c\u0647\u0627 \u0627\u0632 \u0645\u0631\u06a9\u0632 \u062f\u0648\u0631 \u0648 \u0628\u0647 \u0633\u0645\u062a \u062d\u0627\u0634\u06cc\u0647 \u0633\u06cc\u0645\u067e\u0644\u06a9\u0633 \u0645\u06cc\u200c\u0631\u0648\u0646\u062f\u061b \u0628\u0631\u0639\u06a9\u0633 \u0647\u0631 \u0686\u0647 \u0639\u0646\u0627\u0635\u0631 $\\alpha$ \u0627\u0632 \u06cc\u06a9 \u0628\u0632\u0631\u06af\u200c\u062a\u0631 \u0628\u0627\u0634\u0646\u062f\u060c \u062a\u0645\u0631\u06a9\u0632 \u062f\u0648\u0631 \u0646\u0642\u0637\u0647 \u0645\u0631\u06a9\u0632\u06cc \u0686\u06af\u0627\u0644\u200c\u062a\u0631 \u0627\u0633\u062a. $\\alpha$\u06cc\u06cc \u06a9\u0647 \u062a\u0645\u0627\u0645 \u0639\u0646\u0627\u0635\u0631\u0634 \u0628\u0631\u0627\u0628\u0631 \u06cc\u06a9 \u0628\u0627\u0634\u062f\u060c \u0646\u0645\u0648\u0646\u0647\u200c\u0647\u0627 \u0631\u0627 \u0628\u0647 \u0637\u0648\u0631 \u06cc\u06a9\u200c\u0646\u0648\u0627\u062e\u062a \u062f\u0631 \u0633\u0637\u062d \u0633\u06cc\u0645\u067e\u0644\u06a9\u0633 \u067e\u0631\u0627\u06a9\u0646\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import matplotlib.pyplot as plt\n",
"from mpl_toolkits.mplot3d import Axes3D"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def set_lim(ax, *lim):\n",
" ax.set_xlim(*lim)\n",
" ax.set_ylim(*lim)\n",
" ax.set_zlim(*lim)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 126
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure(figsize=(13,11))\n",
"\n",
"axes = [fig.add_subplot(2,2,i+1, projection='3d') for i in range(4)]\n",
"\n",
"n = 400\n",
"s = []\n",
"\n",
"alpha_vectors = [(1,1,1), (.1,.1,.1),(10,10,10),(2,5,15)]\n",
"s = [np.random.dirichlet(alpha_vectors[i], n).transpose() for i in range(4)]\n",
"\n",
"for i in range(4):\n",
" axes[i].scatter(*s[i], zdir='z')\n",
" axes[i].set_title('alpha = {0}'.format(alpha_vectors[i]))\n",
" set_lim(axes[i], 0, 1)\n",
" axes[i].view_init(30, 45)\n",
"\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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TJ/n2WydFRckAJCXlcvJkSjjb1xXke2e1aqioKCMraxR6vY5gsAaLpYC8vDyu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qjG85ZvcdyU8GYUviaZKbmLVvlx60rJkY1EfSEIAnq9ni+//IYXX/wBSRqJ1XqKH3+cy0cfveqh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sOndux/Dh47BYTNSu3ZCpUyfhdH6P03kZlaoGTucGKlUKy0Qhev/9t2na9EFee20iTuccfvvN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\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RT2XwSxOScFRy1hkMBlZZVxvkPblcLvbZc+PiXS5XpXlIRH6Ga8SRu5pKuP+O2+PC6XTC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\nREQkERbjREREREQS+Q8JaO83NQvmPwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10be89750>"
]
}
],
"prompt_number": 146
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u0628\u0647 \u0627\u0632\u0627\u06cc $k=2$ \u0628\u0647 \u0622\u0633\u0627\u0646\u06cc \u062f\u06cc\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f \u06a9\u0647 \u062a\u0648\u0632\u06cc\u0639 \u062f\u06cc\u0631\u06cc\u06a9\u0644\u0647 \u0628\u0647 \u062a\u0648\u0632\u06cc\u0639 \u0628\u062a\u0627 \u062a\u0628\u062f\u06cc\u0644 \u0645\u06cc\u200c\u0634\u0648\u062f. \u062a\u0648\u0632\u06cc\u0639 \u0628\u062a\u0627 $\\text{Beta}\\left(\\alpha,\\beta\\right)$ \u0631\u0648\u06cc \u0628\u0627\u0632\u0647\u200c\u06cc $(0,1)$ \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc\u200c\u0634\u0648\u062f \u0648 \u062f\u0627\u0631\u0627\u06cc \u062a\u0627\u0628\u0639 \u0686\u06af\u0627\u0644\u06cc \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0627\u0633\u062a:\n",
"\n",
"$$\n",
"f(x;\\alpha,\\beta)=\\frac{\\Gamma(\\alpha+\\beta)}{\\Gamma(\\alpha)\\Gamma(\\beta)}x^{\\alpha-1}{\\left(1-x\\right)}^{\\beta-1}\n",
"$$\n",
"\n",
"\u06cc\u0639\u0646\u06cc \u0627\u06af\u0631 $X \\sim \\text{Beta}(a,b)$ \u0628\u0627\u0634\u062f\u060c \u062f\u0631 \u0627\u06cc\u0646 \u0635\u0648\u0631\u062a $Q = (X,1-X) \\sim \\text{Dir}(\\alpha)$ \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f \u06a9\u0647 \u062f\u0631 \u0622\u0646 $\\alpha=[a,b]$ \u0648 \u0628\u0631\u0639\u06a9\u0633."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u062f\u0631 \u062c\u062f\u0648\u0644 \u0632\u06cc\u0631 \u062e\u0635\u0648\u0635\u06cc\u0627\u062a \u062a\u0648\u0632\u06cc\u0639 \u062a\u0635\u0627\u062f\u0641\u06cc \u062f\u06cc\u0631\u06cc\u06a9\u0644\u0647 \u0631\u0627 \u0628\u0647 \u0637\u0648\u0631 \u062e\u0644\u0627\u0635\u0647 \u0645\u0634\u0627\u0647\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u062f:\n",
"\n",
"| | |\n",
"|--------------------|-----------------------------------------------------------------------------------------:|\n",
"| \u0686\u06af\u0627\u0644\u06cc | $\\frac{1}{B(\\alpha)}\\prod^{d}_{j=1}{q_j^{\\alpha_j-1}}$ |\n",
"| \u0627\u0645\u06cc\u062f \u0631\u06cc\u0627\u0636\u06cc | $\\frac{\\alpha}{\\alpha_0}$ |\n",
"| \u06a9\u0648\u0648\u0627\u0631\u06cc\u0627\u0646\u0633 | For $i\\ne j$, $Cov(Q_i,Q_j)=\\frac{-\\alpha_i\\alpha_j}{\\alpha_0^2(\\alpha_0+1)}$ |\n",
"| \u0648\u0627\u0631\u06cc\u0627\u0646\u0633 | for all i, $Var(Q_i)=\\frac{\\alpha_i(\\alpha_0-\\alpha_i)}{\\alpha_0^2(\\alpha_0+1)}$ |\n",
"| \u0645\u062f | $\\frac{\\alpha-1}{\\alpha0-k}$ |\n",
"| \u062a\u0648\u0632\u06cc\u0639\u200c\u0647\u0627\u06cc \u062d\u0627\u0634\u06cc\u0647\u200c\u0627\u06cc | $Q_i\\sim\\text{Beta}(\\alpha_i,\\alpha_0-\\alpha_i)$ |\n",
"| \u062a\u0648\u0632\u06cc\u0639 \u0634\u0631\u0637\u06cc | $\\left(Q_{-i}\\vert Q_i\\right)\\sim\\left(1-Q_i\\right)\\text{Dir}\\left(\\alpha_{-i}\\right)$ |\n",
"| \u062e\u0627\u0635\u06cc\u062a \u062c\u0645\u0639\u06cc | |"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.core.display import HTML\n",
"def css_styling():\n",
" styles = open(\"custom.css\", \"r\").read()\n",
" return HTML(styles)\n",
"css_styling()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<style type='text/css'>\n",
"@import url(http://fonts.googleapis.com/css?family=Libre+Baskerville);\n",
"@import url(http://fonts.googleapis.com/earlyaccess/droidarabicnaskh.css);\n",
"\n",
".text_cell_render.rendered_html {\n",
" font-family: \"Droid Arabic Naskh\", \"Libre Baskerville\", serif;\n",
" direction: rtl;\n",
" line-height: 1.518em;\n",
"}\n",
".text_cell_render.rendered_html h1,\n",
".text_cell_render.rendered_html h2 {\n",
" text-align: center;\n",
"}\n",
".text_cell_render.rendered_html h1 {\n",
" font-size: 2em;\n",
" color: #D55523;\n",
"}\n",
".text_cell_render.rendered_html h2 {\n",
" font-size: 1.25em;\n",
"}\n",
".text_cell_render.rendered_html h1 + h2 {\n",
" margin-bottom: 0.65em;\n",
"}\n",
".text_cell_render.rendered_html p {\n",
" font-size: 1em;\n",
"}\n",
".text_cell_render.rendered_html thead {\n",
" display: none;\n",
"}\n",
".text_cell_render.rendered_html td[align=right] {\n",
" direction: ltr;\n",
"}\n",
"</style>\n",
"\n",
"<script>\n",
" MathJax.Hub.Config({\n",
" \"HTML-CSS\": {\n",
" scale: 65\n",
" }\n",
" });\n",
"</script>\n"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 130,
"text": [
"<IPython.core.display.HTML at 0x10bcf7150>"
]
}
],
"prompt_number": 130
}
],
"metadata": {}
}
]
}
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