205 lines (204 with data), 108.5 kB
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Introduction to word embeddings using Word2Vec\n",
"\n",
"Inspired by this [blog post on using word2vec](https://towardsdatascience.com/multi-class-text-classification-model-comparison-and-selection-5eb066197568)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"# load basic jupyter notebook libraries and namespace\n",
"% pylab inline \n",
"import pandas as pd # data manipulation\n",
"import nltk # natural language processing toolkit\n",
"import gensim # library for creating word embedding models\n",
"pd.set_option('display.max_colwidth', -1) # fixes column width issue\n",
"plt.rcParams.update({'font.size': 14}) # customize plots"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# You will need to download word2vec weights and stopwords when running this script\n",
"# for the first time\n",
"#nltk.download('word2vec_sample')\n",
"\n",
"# Load library\n",
"from nltk.corpus import stopwords\n",
"\n",
"# You will have to download the set of stop words the first time\n",
"#nltk.download('stopwords')\n",
"# Load stop words\n",
"stop_words = stopwords.words('english')"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"# create pre-trained word2vec model\n",
"from nltk.data import find\n",
"word2vec_sample = str(find('models/word2vec_sample/pruned.word2vec.txt'))\n",
"model = gensim.models.KeyedVectors.load_word2vec_format(word2vec_sample, binary=False)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[('queen', 0.7118192911148071),\n",
" ('monarch', 0.6189674139022827),\n",
" ('princess', 0.5902431011199951)]"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Perform vector arithmetic with words.\n",
"model.most_similar(positive=['king', 'woman'], negative=['man'], topn = 3)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"# import our data and create a corpus of words\n",
"df = pd.read_csv('../data/overview-of-recordings.csv')\n",
"df.drop_duplicates(subset='phrase',inplace=True)\n",
"df = df.reset_index()\n",
"\n",
"text = ' '.join(df['phrase'].values)\n",
"text = text.split(' ')\n",
"text,counts = np.unique(text,return_counts=True)\n",
"text = text[np.argsort(counts)[::-1]]\n",
"text = [word for word in text if word not in stop_words]\n"
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 720x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# perform dimensionaility reduction to identify clusters of words using word2vec on first 100 words\n",
"import numpy as np\n",
"labels = []\n",
"count = 0\n",
"max_count = 100\n",
"X = np.zeros(shape=(max_count,len(model['university'])))\n",
"\n",
"for term in text:\n",
" try:\n",
" X[count] = model[term]\n",
" labels.append(term)\n",
" count+= 1\n",
" if count >= max_count: \n",
" break\n",
" except:\n",
" pass\n",
"\n",
"# It is recommended to use PCA first to reduce to ~50 dimensions\n",
"from sklearn.decomposition import PCA\n",
"pca = PCA(n_components=50)\n",
"X_50 = pca.fit_transform(X)\n",
"\n",
"# Using TSNE to further reduce to 2 dimensions\n",
"from sklearn.manifold import TSNE\n",
"model_tsne = TSNE(n_components=2, random_state=0)\n",
"Y = model_tsne.fit_transform(X_50)\n",
"\n",
"# Show the scatter plot\n",
"plt.figure(figsize=(10,8));\n",
"import matplotlib.pyplot as plt\n",
"plt.scatter(Y[:,0], Y[:,1], 0)\n",
"\n",
"# Add labels\n",
"for label, x, y in zip(labels, Y[:, 0], Y[:, 1]):\n",
" plt.annotate(label, xy = (x,y), xytext = (0, 0), textcoords = 'offset points', size = 16)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Latest developments in word embeddings\n",
"\n",
"More recent developments include Google's [BERT](https://ai.googleblog.com/2018/11/open-sourcing-bert-state-of-art-pre.html) and The Allen Institute's [ELMO](https://allennlp.org/elmo) use a similar concept to word embeddings that are starting to surpass human-level accuracy in certain tasks."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [conda env:py36]",
"language": "python",
"name": "conda-env-py36-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.8"
}
},
"nbformat": 4,
"nbformat_minor": 2
}