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Minimal(?) implementation of eigenwords (OSCCA) http://nbviewer.jupyter.org/gist/oshikiri/86739e0a5dc44144fe69805c9219ea25
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Implementation of Eigenwords (One-Step CCA)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Requirements\n",
"* anaconda3 (>=4.1.1)\n",
"* Download and unzip <http://mattmahoney.net/dc/text8.zip>.\n",
"\n",
"$\\newcommand{\\mt}[1]{\\boldsymbol{\\mathrm{#1}}}$"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"ExecuteTime": {
"end_time": "2017-01-31T10:32:01.206815",
"start_time": "2017-01-31T10:31:56.462083"
},
"collapsed": false
},
"outputs": [],
"source": [
"import gc\n",
"import datetime as dt\n",
"from collections import Counter\n",
"\n",
"import numpy as np\n",
"from scipy import sparse\n",
"import pandas as pd\n",
"\n",
"from sklearn.decomposition import PCA\n",
"from sklearn.utils.extmath import randomized_svd\n",
"from sklearn.preprocessing import normalize\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib\n",
"matplotlib.style.use('ggplot')\n",
"%matplotlib inline\n",
"\n",
"%load_ext Cython\n",
"\n",
"datetime_start = dt.datetime.today()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"ExecuteTime": {
"end_time": "2017-01-31T10:32:01.213275",
"start_time": "2017-01-31T10:32:01.209197"
},
"collapsed": true
},
"outputs": [],
"source": [
"path_corpus = './text8'\n",
"\n",
"# tuning parameters\n",
"max_size_vocabulary = 20000\n",
"dim_embedding = 200\n",
"size_window = 4"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"ExecuteTime": {
"end_time": "2017-01-31T10:32:06.084599",
"start_time": "2017-01-31T10:32:01.215169"
},
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"# of word types : 253854\n",
"Size of vocabulary : 20000\n",
"\n",
"Top 100 frequentry-used words:\n",
" <OOV> the of and one in a to zero nine two is as eight for s five three was by that four six seven with on are it from or his an be this which at he also not have were has but other their its first they some had all more most can been such many who new used there after when into american time these only see may than world i b would d no however between about over years states people war during united known if called use th system often state so history will up while\n"
]
}
],
"source": [
"# Load a text file\n",
"with open(path_corpus, 'r') as f:\n",
" txt = f.read()\n",
"txt = txt[1:].split(' ')\n",
"\n",
"# Retrieve vocabulary\n",
"vocabulary = ['<OOV>']\n",
"counter = Counter(txt)\n",
"\n",
"for word, n in counter.most_common():\n",
" if len(vocabulary) >= max_size_vocabulary:\n",
" break\n",
"\n",
" vocabulary.append(word)\n",
"\n",
"print('# of word types : {0}'.format(len(counter.items())))\n",
"print('Size of vocabulary : {0}'.format(len(vocabulary)))\n",
"print('\\nTop 100 frequentry-used words:\\n ' + ' '.join(vocabulary[0:100]))"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"ExecuteTime": {
"end_time": "2017-01-31T10:32:09.884214",
"start_time": "2017-01-31T10:32:06.086126"
},
"collapsed": false
},
"outputs": [],
"source": [
"size_vocabulary = len(vocabulary)\n",
"vocab_to_id = dict(zip(vocabulary, range(size_vocabulary)))\n",
"id_tokens = np.array([vocab_to_id[t] if t in vocab_to_id else 0 for t in txt], dtype=np.int64)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"ExecuteTime": {
"end_time": "2017-01-31T10:32:09.913035",
"start_time": "2017-01-31T10:32:09.885733"
},
"collapsed": false
},
"outputs": [],
"source": [
"%%cython\n",
"\n",
"import numpy as np\n",
"cimport numpy as np\n",
"from scipy import sparse\n",
"\n",
"def construct_matrices(long[:] id_tokens, int size_vocabulary, int size_window):\n",
" cdef:\n",
" long long i_token, n_pushed = 0, n_tokens = len(id_tokens)\n",
" long long id_word, id_context, i_offset, offset\n",
" np.ndarray[np.int64_t, ndim=1] offsets = np.array(\n",
" [i for i in range(-size_window, size_window + 1) if i != 0], dtype=int)\n",
" np.ndarray[np.int64_t, ndim=1] VTV_diag = np.zeros(size_vocabulary, dtype=int)\n",
" np.ndarray[np.int64_t, ndim=1] CTC_diag = np.zeros(2*size_window*size_vocabulary, dtype=int)\n",
" np.ndarray[np.int64_t, ndim=1] VTC_row_index = np.empty(2*size_window*n_tokens, dtype=int) # undesirable\n",
" np.ndarray[np.int64_t, ndim=1] VTC_col_index = np.empty(2*size_window*n_tokens, dtype=int) # undesirable\n",
"\n",
" for i_token in range(n_tokens): \n",
" id_word = id_tokens[i_token]\n",
" VTV_diag[id_word] += 1\n",
" \n",
" for i_offset in range(2*size_window):\n",
" offset = offsets[i_offset]\n",
" if not (0 <= i_token + offset < n_tokens): continue\n",
" id_context = id_tokens[i_token + offset] + i_offset * size_vocabulary\n",
"\n",
" CTC_diag[id_context] += 1\n",
" VTC_row_index[n_pushed] = id_word\n",
" VTC_col_index[n_pushed] = id_context\n",
" n_pushed += 1\n",
" \n",
" VTC_values = [1] * n_pushed\n",
" VTC = sparse.csc_matrix(\n",
" (VTC_values, (VTC_row_index[range(n_pushed)], VTC_col_index[range(n_pushed)])),\n",
" shape=(size_vocabulary, 2*size_window*size_vocabulary))\n",
" \n",
" return (VTV_diag, CTC_diag, VTC)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"ExecuteTime": {
"end_time": "2017-01-31T10:33:19.169781",
"start_time": "2017-01-31T10:32:09.914226"
},
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"50"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"VTV_diag, CTC_diag, VTC = construct_matrices(id_tokens, size_vocabulary, size_window)\n",
"gc.collect()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$\n",
"\\begin{align}\n",
" \\mt{\\mathcal{C}}_{VV} = \\sqrt{\\mt{V}^\\top \\mt{V}}, \\quad\n",
" \\mt{\\mathcal{C}}_{VC} = \\sqrt{\\mt{V}^\\top \\mt{C}}, \\quad\n",
" [\\mt{\\mathcal{C}}_{CC}]_{i, j} = \\delta_{i, j} \\cdot \\left[\\sqrt{\\mt{C}^\\top \\mt{C}}\\right]_{i, j}\n",
"\\end{align}\n",
"$$\n",
"\n",
"The optimal solution of One-Step CCA can be obtained via SVD of $\\mt{A} = \\mt{\\mathcal{C}}_{VV}^{-1/2} \\mt{\\mathcal{C}}_{VC} \\mt{\\mathcal{C}}_{CC}^{-1/2}$. ($\\sqrt{\\cdot}$ indicates element-wise sqrt, and $\\delta$ is Kronecker delta.)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"ExecuteTime": {
"end_time": "2017-01-31T10:33:23.197022",
"start_time": "2017-01-31T10:33:19.171289"
},
"collapsed": false
},
"outputs": [],
"source": [
"VTV_diag_h = VTV_diag.astype('double')**(-1/4)\n",
"CTC_diag_h = CTC_diag.astype('double')**(-1/4)\n",
"A = sparse.diags(VTV_diag_h) @ VTC.power(1/2) @ sparse.diags(CTC_diag_h)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"ExecuteTime": {
"end_time": "2017-01-31T10:33:23.201902",
"start_time": "2017-01-31T10:33:23.198578"
},
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<20000x160000 sparse matrix of type '<class 'numpy.float64'>'\n",
"\twith 31160604 stored elements in Compressed Sparse Row format>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"A"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"ExecuteTime": {
"end_time": "2017-01-31T10:33:38.964432",
"start_time": "2017-01-31T10:33:23.203320"
},
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.lines.Line2D at 0x7f35f9cd4d30>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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Ctz7L4/8T2HO2sWw0SqUSBw8eJBKJkMvl2LNnD6VSiVQqRa1WIxAIUCqVqFQqDA8Pb0qM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\nIhJqCa2fAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f35f9db94e0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.spy(A, markersize=0.005, alpha=0.3)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"ExecuteTime": {
"end_time": "2017-01-31T10:34:34.436112",
"start_time": "2017-01-31T10:33:38.966007"
},
"collapsed": true
},
"outputs": [],
"source": [
"U, S_diag, V = randomized_svd(A, n_components=dim_embedding, n_iter=3)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"ExecuteTime": {
"end_time": "2017-01-31T10:34:34.440785",
"start_time": "2017-01-31T10:34:34.437870"
},
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Elapsed time : 0:02:33.234541\n"
]
}
],
"source": [
"print('Elapsed time :', dt.datetime.today() - datetime_start)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"ExecuteTime": {
"end_time": "2017-01-31T10:34:35.353865",
"start_time": "2017-01-31T10:34:34.441996"
},
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7f35f97a0240>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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YQuemwafgWHaUmd/KzGtbX/8QuJHiYf1afy7XeuLp1P/twUOKZbWaAz4eEddE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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f35f984eb70>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(S_diag, 'b+')\n",
"plt.xlim(-2, )\n",
"plt.yscale('log')\n",
"plt.xlabel('$i$', fontsize=20)\n",
"plt.ylabel('singular value $\\sigma_i$', fontsize=20)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"ExecuteTime": {
"end_time": "2017-01-31T10:34:35.462834",
"start_time": "2017-01-31T10:34:35.355992"
},
"collapsed": false
},
"outputs": [],
"source": [
"vectors = pd.DataFrame(normalize(sparse.diags(VTV_diag_h) @ U), index=vocabulary)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"ExecuteTime": {
"end_time": "2017-01-31T10:34:35.488167",
"start_time": "2017-01-31T10:34:35.464628"
},
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"godzilla 1.000000\n",
"batman 0.662502\n",
"toho 0.647189\n",
"akira 0.629874\n",
"blaxploitation 0.614074\n",
"animated 0.608280\n",
"movie 0.607745\n",
"monster 0.604997\n",
"anime 0.601940\n",
"kurosawa 0.600349\n",
"dtype: float64"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"query = 'godzilla'\n",
"\n",
"similarities = pd.Series(vectors.values @ vectors.loc[query, :].values, index=vocabulary)\n",
"similarities.sort_values(ascending=False).head(10)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"ExecuteTime": {
"end_time": "2017-01-31T10:34:37.283636",
"start_time": "2017-01-31T10:34:35.489682"
},
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7f35a9f8e438>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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ZuHAhvXv3pk6dOqSmptK1a1cAPvvsMxo3bkzFihVp2rQpDzzwAHFxcYSFhXHa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\n9a98/fXXRRaoOZ7YnlSSbE8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y5Mgi++H/nsmYlZUVXGznq6++CobAkSNHUrNmTa6++mo6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Ouvv/6Ut/tBqFWrVqmZmg/JrVu3WLVqFfPnz+e7777jwIEDbN68mZycHA4cOEBGRga9e/em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\nKEmSJEkRZiiUJEmSpAj7/4R7RVpAKyefAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f35aa437b38>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# biplot\n",
"margin_plot = 0.1\n",
"\n",
"vectors_plot = vectors.iloc[np.arange(0, 1000, 3), :]\n",
"pca = PCA(n_components=2)\n",
"X = pca.fit_transform(vectors_plot)\n",
"\n",
"fig = plt.figure(figsize=(15, 15))\n",
"ax = fig.add_subplot(111)\n",
"\n",
"for i in range(X.shape[0]):\n",
" ax.text(X[i, 0], X[i, 1], vectors_plot.index[i])\n",
" \n",
"_ = ax.axis([min(X[:, 0]) - margin_plot, max(X[:, 0]) + margin_plot,\n",
" min(X[:, 1]) - margin_plot, max(X[:, 1]) + margin_plot])\n",
"\n",
"ax.set_xlabel('PC1')\n",
"ax.set_ylabel('PC2')"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## Reference\n",
"* Paramveer S. Dhillon, Dean P. Foster, and Lyle H. Ungar. 2015. **Eigenwords: Spectral word embeddings**. Journal of Machine Learning Research, 16:3035–3078.\n",
"\n",
"\n",
"## License\n",
"Copyright (c) 2017 Takamasa Oshikiri<br>\n",
"This software is released under the MIT License.<br>\n",
"<http://opensource.org/licenses/mit-license.php>"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [Root]",
"language": "python",
"name": "Python [Root]"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
},
"nav_menu": {},
"toc": {
"navigate_menu": true,
"number_sections": false,
"sideBar": true,
"threshold": 6,
"toc_cell": false,
"toc_section_display": "block",
"toc_window_display": true
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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