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@chezou
Last active December 2, 2020 20:52
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Visualizer word2vec data for ipython notebook
# -*- coding: utf-8 -*-
"""
given a word and visualize near words
original source code is https://github.com/nishio/mycorpus/blob/master/vis.py
"""
import word2vec_boostpython as w2v
from sklearn.decomposition import PCA
import matplotlib.pyplot as plt
import matplotlib.font_manager
class visWord2Vec:
def __init__(self, filename = 'vectors.bin'):
font = matplotlib.font_manager.FontProperties(fname='./ipag.ttc')
FONT_SIZE = 20
self.TEXT_KW = dict(fontsize=FONT_SIZE, fontweight='bold', fontproperties=font)
print 'loading'
self.data = w2v.load(filename)
print 'loaded'
def plot(self, query, nbest = 15):
if ', ' not in query:
words = [query] + w2v.search(self.data, query)[:nbest]
else:
words = query.split(', ')
print ', '.join(words)
mat = w2v.get_vectors(self.data)
word_indexes = [w2v.get_word_index(self.data, w) for w in words]
if word_indexes == [-1]:
print 'not in vocabulary'
return
# do PCA
X = mat[word_indexes]
pca = PCA(n_components=2)
pca.fit(X)
print pca.explained_variance_ratio_
X = pca.transform(X)
xs = X[:, 0]
ys = X[:, 1]
# draw
plt.figure(figsize=(12,8))
plt.scatter(xs, ys, marker = 'o')
for i, w in enumerate(words):
plt.annotate(
w.decode('utf-8', 'ignore'),
xy = (xs[i], ys[i]), xytext = (3, 3),
textcoords = 'offset points', ha = 'left', va = 'top',
**self.TEXT_KW)
plt.show()
Display the source blob
Display the rendered blob
Raw
{
"metadata": {
"name": "",
"signature": "sha256:e23192111eea1fec2f4bba63d9e58f43ed2db560503eb6ca3babf03816545a10"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# word2vec visualization\n",
"using modified vis.py from https://github.com/nishio/mycorpus"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import visword2vec\n",
"vis = visword2vec.visWord2Vec(\"vectors.bin\")\n",
"vis_phrase = visword2vec.visWord2Vec(\"vectors-phrase.bin\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"loading\n",
"loaded"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"loading\n",
"loaded"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"vis.plot('king')\n",
"vis_phrase.plot('king')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 0.13118866 0.10623945]\n"
]
},
{
"metadata": {},
"output_type": "display_data",
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f1KFDhzR37lwdOXJEaWlp5fb36aefavTo0frpp580evRoj/cOHz6siIgIHTp0SBMnTtSR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\niIiX/H+iIMdy5EsaHAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x109732890>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 0.16855377 0.12011987]\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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XL4ZarUZBQYFS1r59e1hbW+vsQEIVx5lnIiKiGiAqas2DU/Tuz5gWFt4v++GH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\n",
"text": [
"<matplotlib.figure.Figure at 0x12fc52fd0>"
]
}
],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"vis.plot('queen')\n",
"vis_phrase.plot('queen')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 0.16200846 0.11511865]\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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jODgY58+fV94r3++tW7cghICLiwsOHjyo1PXv3x/W1tZ4/fXXMXnyZNjb28PN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\nERGRRgzPREREREQaMTwTEREREWn0f4hvtaeFhmdyAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x12fee5ad0>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 0.12542991 0.11516068]\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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p0qDPZfTo0dq+V26YWJPa7t3BPT6IiEg0pnXXhRCyMfWHiIiIiB5NQghIKfmr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"text": [
"<matplotlib.figure.Figure at 0x130106250>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
@chezou
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chezou commented Feb 16, 2015

usage from ipython notebook

import visword2vec
vis = visword2vec.visWord2Vec()
vis.plot('king')

@chezou
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chezou commented Feb 16, 2015

@nunofernandes-plight
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Quite a brilliant gist! Useful!

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