{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Let's get right into this post! But, before you read this post, be sure to check out my original post on [word embeddings](https://jrtechs.net/data-science/word-embeddings). In this post we will be using data from this blog to create and visualize a word embedding.\n", "\n", "To recap, let's first look at a small example using the [Gensim](https://pypi.org/project/gensim/) Word2Vec model:" ] }, { "cell_type": "code", "execution_count": 156, "metadata": {}, "outputs": [], "source": [ "from gensim.models import Word2Vec\n", "\n", "# defines some dummy data\n", "sentences = [[\"cat\", \"say\", \"meow\"], [\"dog\", \"say\", \"woof\"], [\"man\", \"say\", \"dam\"]]\n", "\n", "# creates and trains model\n", "model = Word2Vec(min_count=1, size=10)\n", "model.build_vocab(sentences)\n", "model.train(sentences, total_examples=model.corpus_count, epochs=model.epochs) \n", "\n", "# saves the model so that you can load it later with model.load\n", "model.save(\"basic-word2vec.model\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With this word2vec model we can do things like get the most similar words and get the vectorized version of the word. " ] }, { "cell_type": "code", "execution_count": 114, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[('woof', 0.3232297897338867),\n", " ('dam', 0.14384251832962036),\n", " ('man', 0.11316978931427002),\n", " ('cat', -0.06251632422208786),\n", " ('say', -0.1781214326620102),\n", " ('meow', -0.21009384095668793)]" ] }, "execution_count": 114, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.wv.most_similar(\"dog\")" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.04777663 0.01543251 -0.04632503 0.03601828 -0.00572644 0.00553683\n", " -0.04476452 -0.0274465 0.0047655 0.00508591]\n" ] } ], "source": [ "print(model.wv.get_vector(\"dog\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the TSNE method, we can reduce the dimensionality so that we can visualize it." ] }, { "cell_type": "code", "execution_count": 158, "metadata": {}, "outputs": [], "source": [ "from sklearn.decomposition import IncrementalPCA # inital reduction\n", "from sklearn.manifold import TSNE # final reduction\n", "import numpy as np \n", "\n", "def reduce_dimensions(model):\n", " num_dimensions = 2 # final num dimensions (2D, 3D, etc)\n", "\n", " vectors = [] # positions in vector space\n", " labels = [] # keep track of words to label our data again later\n", " for word in model.wv.vocab:\n", " vectors.append(model.wv[word])\n", " labels.append(word)\n", "\n", " # convert both lists into numpy vectors for reduction\n", " vectors = np.asarray(vectors)\n", " labels = np.asarray(labels)\n", "\n", " # reduce using t-SNE\n", " vectors = np.asarray(vectors)\n", " tsne = TSNE(n_components=num_dimensions, random_state=0)\n", " vectors = tsne.fit_transform(vectors)\n", "\n", " x_vals = [v[0] for v in vectors]\n", " y_vals = [v[1] for v in vectors]\n", " return x_vals, y_vals, labels\n", "\n", "\n", "x_vals, y_vals, labels = reduce_dimensions(model)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['cat' 'say' 'meow' 'dog' 'woof' 'man' 'dam']\n", "[-29.594002, -45.996586, 20.368856, 53.92877, -12.437127, 3.9659712, 37.524284]\n", "[60.112713, 11.891685, 70.019325, 31.70431, -26.423267, 21.79772, -16.517805]\n" ] } ], "source": [ "print(labels)\n", "print(x_vals)\n", "print(y_vals)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Due to simplicity, we are using a basic matplotlib scatter plot to visualize it. Since it is messy to visualize every label on larger models, we are reducing the number of labels we are picking to display on the graph. However, on this initial example we can visualize all the labels. " ] }, { "cell_type": "code", "execution_count": 161, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import random\n", "\n", "def plot_with_matplotlib(x_vals, y_vals, labels, num_to_label):\n", " plt.figure(figsize=(5, 5))\n", " plt.scatter(x_vals, y_vals)\n", " plt.title(\"Embedding Space\")\n", " indices = list(range(len(labels)))\n", " selected_indices = random.sample(indices, num_to_label)\n", " for i in selected_indices:\n", " plt.annotate(labels[i], (x_vals[i], y_vals[i]))\n", " plt.savefig('ex.png')\n", " \n", "plot_with_matplotlib(x_vals, y_vals, labels, 7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since my blog is written in markdown files, we need a way to extract all the code blocks out of it so that our model does not get fooled by things that are not \"English.\"" ] }, { "cell_type": "code", "execution_count": 118, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " The Ackermann function is a classic example of a function that is not primitive recursive – you cannot solve it using loops like Fibonacci. In other words, you have to use recursion to solve for values of the Ackermann function. For more information on the Ackermann function [click\n" ] } ], "source": [ "def process_file(fileName):\n", " result = \"\"\n", " tempResult = \"\"\n", " inCodeBlock = False\n", "\n", " with open(fileName) as file:\n", " for line in file:\n", " if line.startswith(\"```\"):\n", " inCodeBlock = not inCodeBlock\n", " elif inCodeBlock:\n", " pass\n", " else:\n", " for word in line.split():\n", " if \"http\" not in word and \"media/\"not in word:\n", " result = result + \" \" + word\n", " return result\n", "\n", "print(process_file(\"data/ackermann-function-written-in-java.md\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Although this script takes us most of the way there with removing the code block, we still want to remove stopper words and punctuations. The gensim library has a function that already does that for us." ] }, { "cell_type": "code", "execution_count": 119, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['the', 'ackermann', 'function', 'is', 'classic', 'example', 'of', 'function', 'that', 'is', 'not', 'primitive', 'recursive', 'you', 'cannot', 'solve', 'it', 'using', 'loops', 'like', 'fibonacci', 'in', 'other', 'words', 'you', 'have', 'to', 'use', 'recursion', 'to', 'solve', 'for', 'values', 'of', 'the', 'ackermann', 'function', 'for', 'more', 'information', 'on', 'the', 'ackermann', 'function', 'click']\n" ] } ], "source": [ "from gensim import utils\n", "print(utils.simple_preprocess(process_file(\"data/ackermann-function-written-in-java.md\")))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Loading everything in as memory and feeding it into a large list like the dummy example, although possible, is not feasable or efficient for large data sets. In Gensim it is typical to create a Corpus: a corpus is a collection of documents used for training. To create the corpus baised on my prior blog posts, I need to process each blog post and store the cleaned version in a file." ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "import os\n", "file = open(\"jrtechs.cor\", \"w+\")\n", "for file_name in os.listdir(\"data\"):\n", " file.write(process_file(\"data/\" + file_name) + \"\\n\")\n", "file.close()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To read our text version corpus, we simply create an iterable source that just reads out each line from our text file. In our case each line is an entire blog post." ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [], "source": [ "from gensim.test.utils import datapath\n", "\n", "class MyCorpus(object):\n", " \"\"\"An interator that yields sentences (lists of str).\"\"\"\n", "\n", " def __iter__(self):\n", " corpus_path = \"jrtechs.cor\"\n", " for line in open(corpus_path):\n", " # assume there's one document per line, tokens separated by whitespace\n", " yield utils.simple_preprocess(line)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can create a new model using our custom corpus. The things that we will want to change is the embedding size and the number of epochs we train our model." ] }, { "cell_type": "code", "execution_count": 128, "metadata": {}, "outputs": [], "source": [ "sentences = MyCorpus()\n", "model = Word2Vec(min_count=1, size=20, sentences=sentences)\n", "model.train(sentences, total_examples=model.corpus_count, epochs=500) \n", "model.save(\"jrtechs-word2vec-500.model\")" ] }, { "cell_type": "code", "execution_count": 130, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[('that', 0.7954616546630859),\n", " ('also', 0.7654829025268555),\n", " ('but', 0.7392309904098511),\n", " ('since', 0.7380496859550476),\n", " ('although', 0.7112778425216675),\n", " ('why', 0.7025969624519348),\n", " ('encouragement', 0.6704230308532715),\n", " ('because', 0.6692429184913635),\n", " ('faster', 0.6633850932121277),\n", " ('so', 0.6504907011985779)]" ] }, "execution_count": 130, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.wv.most_similar(\"however\")" ] }, { "cell_type": "code", "execution_count": 139, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[('function', 0.8110014200210571),\n", " ('grouping', 0.7134513854980469),\n", " ('import', 0.7052735090255737),\n", " ('select', 0.6987707614898682),\n", " ('max', 0.6856316328048706),\n", " ('authentication', 0.6762576103210449),\n", " ('pseudo', 0.663935124874115),\n", " ('namespace', 0.6549093723297119),\n", " ('matrix', 0.6515613198280334),\n", " ('zero', 0.6360148191452026)]" ] }, "execution_count": 139, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.wv.most_similar(\"method\")" ] }, { "cell_type": "code", "execution_count": 140, "metadata": {}, "outputs": [], "source": [ "x_vals, y_vals, labels = reduce_dimensions(model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you run the TSNE algorithm with different training parameters, you will get different shapes in your output. I noticed that for my data, If I ran it with 5 epochs I got a curvy shape where if I trained the model with over 100 epochs I just got a single cluster shape. " ] }, { "cell_type": "code", "execution_count": 155, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_with_matplotlib(x_vals, y_vals, labels, 10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we zoom in on the embedding space, we can get a better idea of what clusters close to each other. This visualization of course is not perfect because we are trying to visualize a 15 dimensions down into a two dimensional graph. 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import random\n", "\n", "def plot_with_matplotlib(x_vals, y_vals, labels, xmin=3, xmax=7, ymin=3, ymax=7):\n", " plt.figure(figsize=(5, 5))\n", " plt.scatter(x_vals, y_vals)\n", " plt.title(\"Embedding Space\")\n", " plt.xlim(xmin, xmax)\n", " plt.ylim(ymin, ymax)\n", " \n", " for x, y, l in zip(x_vals, y_vals, labels):\n", " plt.annotate(l, (x, y))\n", " plt.savefig('smallex.png')\n", " \n", "plot_with_matplotlib(x_vals, y_vals, labels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It was impressive the results I got on my limited data scope. The Google news dataset explored last time was far more accurate, however, the model was quite large and I was unable to run the TSNE algorithm on it without crashing my computer. Training your own word embedding model is useful because in different applications and contexts words can mean different things. Right now there is a large push at seeing how we can leverage pre-trained models. This enables you to take google's word2vec model trained on 100 billion words and tweak the model using your own data to better fit your own application. Maybe I'll make that a part three of this blog post series on embeddings. " ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }