{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Клъстеризация на текст\n",
"\n",
"Тук е представено използването на йерархична клъстеризация за класификация на текст спрямо съдържанието му.\n",
"\n",
"От текста се извличат всички \"признаци\" (tokens), след което се изчислява честотата им в текста. Нормата на един признак се дефинира като евклидовата норма на вектора с координати честоти на срещане на този признак в различните текстове, т.е. признаците се отъждествяват с вектори в $\\mathbb{R}^n$, където $n$ е броят анализирани текстове. Всеки признак се смята, че принадлежи на този текст, на който съответства най-голямата координата. По-долу за това е използван терминът \"Dominant text\"\n",
"\n",
"Пет текста са групирани в три клъстъра: \n",
"* Клъстър, съдържащ разказите \"Индже\" и \"Шибил\" на Йовков. \"Съдържащ\" в случая означава \"съдържащ по-голямата част на признаците\". Разказът \"Кошута\" на същият автор е използван за крос-валидация. Разказите са изтеглени от http://chitanka.info/.\n",
"* Клъстър, съдържащ като единствен текст първите десет глави на наказателния кодекс на НРБ от 01.05.1968. За крос-валидация е използван закона за амнистия и връщане на отнети имущества с последна поправка от брой 34 на ДВ от 25 Април 2000г. Документите са изтеглени от https://lex.bg/\n",
"* Клъстър, съдържащ статиите от Уикипедия за ПФК Левски и ПФК Ботев. За крос-валидация е използвана статията за Георги Аспарухов. Всичките статии са изтеглени в 16:28 на 02.07.2018.\n",
"\n",
"> Янис Василев, 02.07.2018"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# Workspace preparation\n",
"library('ggplot2')\n",
"options(repr.plot.width=6, repr.plot.height=6)\n",
"\n",
"source('tokenize.R')\n",
"source('statistics.R')\n",
"source('cleanup.R')\n",
"source('clusterize.R')\n",
"source('plot.R')\n",
"source('classification.R')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"(1) Й. Йовков - Шибил | (2) Й. Йовков - Индже | (3) Наказателен кодекс, глави 1-10 | (4) Уикипедия - ПФК Ботев (Пловдив) | (5) Уикипедия - ПФК Левски (София) |
\n",
"\n",
"\tи | и | от | на | на |
\n",
"\tсе | се | г | и | и |
\n",
"\tна | на | на | в | в |
\n",
"\tда | да | бр | за | левски |
\n",
"\tси | индже | дв | от | през |
\n",
"\tне | си | в | е | е |
\n",
"\tв | му | изм | се | с |
\n",
"\tбеше | не | и | ботев | от |
\n",
"\tшибил | беше | е | с | за |
\n",
"\tот | от | се | през | г |
\n",
"\n",
"
\n"
],
"text/latex": [
"\\begin{tabular}{r|lllll}\n",
" (1) Й. Йовков - Шибил & (2) Й. Йовков - Индже & (3) Наказателен кодекс, глави 1-10 & (4) Уикипедия - ПФК Ботев (Пловдив) & (5) Уикипедия - ПФК Левски (София)\\\\\n",
"\\hline\n",
"\t и & и & от & на & на \\\\\n",
"\t се & се & г & и & и \\\\\n",
"\t на & на & на & в & в \\\\\n",
"\t да & да & бр & за & левски\\\\\n",
"\t си & индже & дв & от & през \\\\\n",
"\t не & си & в & е & е \\\\\n",
"\t в & му & изм & се & с \\\\\n",
"\t беше & не & и & ботев & от \\\\\n",
"\t шибил & беше & е & с & за \\\\\n",
"\t от & от & се & през & г \\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"(1) Й. Йовков - Шибил | (2) Й. Йовков - Индже | (3) Наказателен кодекс, глави 1-10 | (4) Уикипедия - ПФК Ботев (Пловдив) | (5) Уикипедия - ПФК Левски (София) | \n",
"|---|---|---|---|---|---|---|---|---|---|\n",
"| и | и | от | на | на | \n",
"| се | се | г | и | и | \n",
"| на | на | на | в | в | \n",
"| да | да | бр | за | левски | \n",
"| си | индже | дв | от | през | \n",
"| не | си | в | е | е | \n",
"| в | му | изм | се | с | \n",
"| беше | не | и | ботев | от | \n",
"| шибил | беше | е | с | за | \n",
"| от | от | се | през | г | \n",
"\n",
"\n"
],
"text/plain": [
" (1) Й. Йовков - Шибил (2) Й. Йовков - Индже\n",
"1 и и \n",
"2 се се \n",
"3 на на \n",
"4 да да \n",
"5 си индже \n",
"6 не си \n",
"7 в му \n",
"8 беше не \n",
"9 шибил беше \n",
"10 от от \n",
" (3) Наказателен кодекс, глави 1-10 (4) Уикипедия - ПФК Ботев (Пловдив)\n",
"1 от на \n",
"2 г и \n",
"3 на в \n",
"4 бр за \n",
"5 дв от \n",
"6 в е \n",
"7 изм се \n",
"8 и ботев \n",
"9 е с \n",
"10 се през \n",
" (5) Уикипедия - ПФК Левски (София)\n",
"1 на \n",
"2 и \n",
"3 в \n",
"4 левски \n",
"5 през \n",
"6 е \n",
"7 с \n",
"8 от \n",
"9 за \n",
"10 г "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Extract a token data frame from the literary work list\n",
"tokens <- tokenizeWorks(c(\n",
" 'Й. Йовков - Шибил',\n",
" 'Й. Йовков - Индже',\n",
" 'Наказателен кодекс, глави 1-10',\n",
" 'Уикипедия - ПФК Ботев (Пловдив)',\n",
" 'Уикипедия - ПФК Левски (София)'\n",
"))\n",
"\n",
"# Display the top ten tokens for each of the works\n",
"topWordsTable(tokens, 10)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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/WSOX1Mel312IP8q/Ne+uc8qaDfuPuenDkAx5ghFBc6xhleyIAIILXzYA6E2gjX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\nIxwItZu2vUQFAKSkpPg+qAshhNo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"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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iGlAlp7E3J4zu12a63D4XDrk9qEYRgi4rCtTill3c5BqUAgsD0c9lpxMKW0tNmv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O7/+mGFIKNG27Rldn79L3z5+Xw9M94/vv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\nbgNCfyI6nc7r6r/GIZFIZDLnj18JY3P6wTkX28z424z3wczC7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"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Clean and clusterize the tokens.\n",
"\n",
"# The cleaning is done by removing the 15 tokens that are cumulatively most common\n",
"# to all of the works and then cleaning out outliers, i.e. vectors whose projections\n",
"# on the coordinate axes fail the z-test with a confidence value of 0.9.\n",
"cleanedTokens <- clearOutliers(clearCommon(tokens, 15), 0.9)\n",
"\n",
"# Clusterize the data into three clusters using hierarchical clustering with complete linkage\n",
"mtx <- extractCoordinateMatrix(cleanedTokens)\n",
"clusters <- cutree(hclust(dist(mtx), method='complete'), k=3)\n",
"clusteredTokens <- analyzeClusterization(cleanedTokens, clusters)\n",
"\n",
"# Plot the PCA-based projection into the plane\n",
"plotPCAProjections(clusteredTokens)\n",
"\n",
"# Plot the coordinate projections of (2) and (3)\n",
"plotTwoLevels(clusteredTokens, 2:3)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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6reTdH/xjIA0HvWbvXnPZfF6vV60HW9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",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Use single-linkage clustering on the same data.\n",
"# This example shows that the clusterization method dramatically affects the outcome.\n",
"clustersSingle <- cutree(hclust(dist(mtx), method='single'), k=3)\n",
"clusteredTokensSingle <- analyzeClusterization(cleanedTokens, clustersSingle)\n",
"plotPCAProjections(clusteredTokensSingle)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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veZ6wfjGDOEooI46mUaJQFA6uLBHAhFCC9il6pI0h1QtNlsoY8qIoRkZmbyPG+1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EWVZt0NhIs1E4shxizDZjRNT2HY5hCi+A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\nXax4/LTp0yf100e1wQP/mHr69Ke/Z8N+M+O+W88fpHz79PSz/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OXnM8+xZgbpysvLy8vLKhgEpVmEL3FglspeaigvZxR6S8XDf4JShyI0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\nSUVORK5CYII=",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Use classical (Lloyd) k-means clustering on the same data.\n",
"modelLloyd <- kmeans(mtx, 3, algorithm='Lloyd')\n",
"clusteredTokensLloyd <- analyzeClusterization(cleanedTokens, modelLloyd$cluster)\n",
"plotPCAProjections(clusteredTokensLloyd)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Fb+ZyoDwJ3zTp10NZX/mc4AwLBH90s/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\nAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Use MacQueen k-means clustering on the same data.\n",
"modelMacQueen <- kmeans(mtx, 3, algorithm='MacQueen')\n",
"clusteredTokensMacQueen <- analyzeClusterization(cleanedTokens, modelMacQueen$cluster)\n",
"plotPCAProjections(clusteredTokensMacQueen)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"Lloyd | MacQueen |
\n",
"\n",
"\t7.828887 | 8.548649 |
\n",
"\t2.074166 | 5.410549 |
\n",
"\t2.680655 | 3.722780 |
\n",
"\n",
"
\n"
],
"text/latex": [
"\\begin{tabular}{r|ll}\n",
" Lloyd & MacQueen\\\\\n",
"\\hline\n",
"\t 7.828887 & 8.548649\\\\\n",
"\t 2.074166 & 5.410549\\\\\n",
"\t 2.680655 & 3.722780\\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"Lloyd | MacQueen | \n",
"|---|---|---|\n",
"| 7.828887 | 8.548649 | \n",
"| 2.074166 | 5.410549 | \n",
"| 2.680655 | 3.722780 | \n",
"\n",
"\n"
],
"text/plain": [
" Lloyd MacQueen\n",
"1 7.828887 8.548649\n",
"2 2.074166 5.410549\n",
"3 2.680655 3.722780"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"scaleToSmallNumbers <- function (value) {\n",
" value * 10^(-floor(log10(value)))\n",
"}\n",
"\n",
"# Compare the within-cluster sums of squares\n",
"withinss <- data.frame(Lloyd=modelLloyd$withinss, MacQueen=modelMacQueen$withinss)\n",
"scaleToSmallNumbers(withinss)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"work | cluster |
\n",
"\n",
"\tЙ. Йовков - Кошута | (1), (2) |
\n",
"\tЗакон за амнистия и връщане на отнети имущества | (3) |
\n",
"\tУикипедия - Георги Аспарухов | (4), (5) |
\n",
"\n",
"
\n"
],
"text/latex": [
"\\begin{tabular}{r|ll}\n",
" work & cluster\\\\\n",
"\\hline\n",
"\t Й. Йовков - Кошута & (1), (2) \\\\\n",
"\t Закон за амнистия и връщане на отнети имущества & (3) \\\\\n",
"\t Уикипедия - Георги Аспарухов & (4), (5) \\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"work | cluster | \n",
"|---|---|---|\n",
"| Й. Йовков - Кошута | (1), (2) | \n",
"| Закон за амнистия и връщане на отнети имущества | (3) | \n",
"| Уикипедия - Георги Аспарухов | (4), (5) | \n",
"\n",
"\n"
],
"text/plain": [
" work cluster \n",
"1 Й. Йовков - Кошута (1), (2)\n",
"2 Закон за амнистия и връщане на отнети имущества (3) \n",
"3 Уикипедия - Георги Аспарухов (4), (5)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Use the complete-linkage clusterization to classify a few texts for cross-validation\n",
"source('classification.R')\n",
"\n",
"classifyWorks(\n",
" clusteredTokens,\n",
" c(\n",
" 'Й. Йовков - Кошута',\n",
" 'Закон за амнистия и връщане на отнети имущества',\n",
" 'Уикипедия - Георги Аспарухов'\n",
" )\n",
")"
]
}
],
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