diff --git a/notebooks/word-embeddings-part2/embeddings.ipynb b/notebooks/word-embeddings-part2/embeddings.ipynb index fcbb81c..744f980 100644 --- a/notebooks/word-embeddings-part2/embeddings.ipynb +++ b/notebooks/word-embeddings-part2/embeddings.ipynb @@ -1,46 +1,44 @@ { "cells": [ { - "cell_type": "code", - "execution_count": 1, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "from gensim.models import Word2Vec" + "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": 7, + "execution_count": 156, "metadata": {}, "outputs": [], "source": [ - "sentences = [[\"cat\", \"say\", \"meow\"], [\"dog\", \"say\", \"woof\"], [\"man\", \"say\", \"dam\"]]" + "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": "code", - "execution_count": 17, + "cell_type": "markdown", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "5\n" - ] - } - ], "source": [ - "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", - "model.save(\"basic-word2vec.model\")" + "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": 13, + "execution_count": 114, "metadata": {}, "outputs": [ { @@ -54,7 +52,7 @@ " ('meow', -0.21009384095668793)]" ] }, - "execution_count": 13, + "execution_count": 114, "metadata": {}, "output_type": "execute_result" } @@ -81,15 +79,22 @@ "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": 22, + "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 # array handling\n", + "import numpy as np \n", "\n", "def reduce_dimensions(model):\n", " num_dimensions = 2 # final num dimensions (2D, 3D, etc)\n", @@ -138,14 +143,21 @@ "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": 78, + "execution_count": 161, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -168,21 +180,28 @@ " 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, 5)" + "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": 43, + "execution_count": 118, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - " Inspired by [Justin and [Dan I decided to make a 2018 review post. I believe that it would be a good way to reflect upon what I did in 2018 and make plans for 2019. This post will be a very high level overview of the projects and activities that I did in 2018 -- nothing personal. Pictures say a thousand words, so, I will include a lot. # January: **Eagle Ceremony** ![Eagle Ceremony **Started Second Semester of College** Classes: - Mechanics of Programming - Statistics - Discrete Math - Communications - Moral Issues **Brick hack 4** ![Sleep Deprived me at BrickHack # February: **RIT Career Fair** ![Overview Picture of the Career **Build my Blog in Node.js** ![What original website looked # March: **Upgrading Floppy Drive Project** ![Floppy drive project under **Designed Website for Hoffends** ![Hoffends # April: **Imagine RIT** ![RITlug imagine rit ![RITlug imagine rit # May: **End of Second Semester** ![RIT Tiger during the **Started SSA Research Job** ![Erie # June: **Steam Graph Project** ![Steam graph project example showing 3 friend # July **Summer!** ![Taughannock ![Erie **Updated UI for the Blog** ![New theme of # August: **Presented at RIT's Undergraduate Research Symposium** ![Poster at the undergraduate research **Second Year of College** First year on the Eboard of RITlug as Vice President. Classes: - Linear Algebra - Analysis Of Algorithms - CS Theory - SWEN - Public Policy # September: **End of Summer :(** ![Biking # October: **Hacktoberfest** ![Github hacktoberfest # November: **Foss [Election Night ![FOSS Election Night **Rochester Maker Fair** ![RITlug booth at the maker # December: **End of Fall Semester** ![Biking\n", - "['inspired', 'by', 'justin', 'and', 'dan', 'decided', 'to', 'make', 'review', 'post', 'believe', 'that', 'it', 'would', 'be', 'good', 'way', 'to', 'reflect', 'upon', 'what', 'did', 'in', 'and', 'make', 'plans', 'for', 'this', 'post', 'will', 'be', 'very', 'high', 'level', 'overview', 'of', 'the', 'projects', 'and', 'activities', 'that', 'did', 'in', 'nothing', 'personal', 'pictures', 'say', 'thousand', 'words', 'so', 'will', 'include', 'lot', 'january', 'eagle', 'ceremony', 'eagle', 'ceremony', 'started', 'second', 'semester', 'of', 'college', 'classes', 'mechanics', 'of', 'programming', 'statistics', 'discrete', 'math', 'communications', 'moral', 'issues', 'brick', 'hack', 'sleep', 'deprived', 'me', 'at', 'brickhack', 'february', 'rit', 'career', 'fair', 'overview', 'picture', 'of', 'the', 'career', 'build', 'my', 'blog', 'in', 'node', 'js', 'what', 'original', 'website', 'looked', 'march', 'upgrading', 'floppy', 'drive', 'project', 'floppy', 'drive', 'project', 'under', 'designed', 'website', 'for', 'hoffends', 'hoffends', 'april', 'imagine', 'rit', 'ritlug', 'imagine', 'rit', 'ritlug', 'imagine', 'rit', 'may', 'end', 'of', 'second', 'semester', 'rit', 'tiger', 'during', 'the', 'started', 'ssa', 'research', 'job', 'erie', 'june', 'steam', 'graph', 'project', 'youtube', 'src', 'dodahmyipvq', 'steam', 'graph', 'project', 'example', 'showing', 'friend', 'july', 'summer', 'youtube', 'src', 'alt', 'sq', 'taughannock', 'erie', 'updated', 'ui', 'for', 'the', 'blog', 'new', 'theme', 'of', 'august', 'presented', 'at', 'rit', 'undergraduate', 'research', 'symposium', 'poster', 'at', 'the', 'undergraduate', 'research', 'second', 'year', 'of', 'college', 'first', 'year', 'on', 'the', 'eboard', 'of', 'ritlug', 'as', 'vice', 'president', 'classes', 'linear', 'algebra', 'analysis', 'of', 'algorithms', 'cs', 'theory', 'swen', 'public', 'policy', 'september', 'end', 'of', 'summer', 'biking', 'october', 'hacktoberfest', 'github', 'hacktoberfest', 'november', 'foss', 'election', 'night', 'foss', 'election', 'night', 'rochester', 'maker', 'fair', 'ritlug', 'booth', 'at', 'the', 'maker', 'december', 'end', 'of', 'fall', 'semester', 'biking']\n" + " 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" ] } ], @@ -204,11 +223,39 @@ " result = result + \" \" + word\n", " return result\n", "\n", - "\n", - "print(process_file(\"data/2018-in-review.md\"))\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/2018-in-review.md\")))\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." ] }, { @@ -224,6 +271,13 @@ "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, @@ -231,7 +285,6 @@ "outputs": [], "source": [ "from gensim.test.utils import datapath\n", - "from gensim import utils\n", "\n", "class MyCorpus(object):\n", " \"\"\"An interator that yields sentences (lists of str).\"\"\"\n", @@ -243,74 +296,109 @@ " 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": 52, + "execution_count": 128, "metadata": {}, "outputs": [], "source": [ - "sentences = MyCorpus()" + "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": 53, + "execution_count": 130, "metadata": {}, - "outputs": [], + "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 = Word2Vec(min_count=1, size=10, sentences=sentences)\n", - "model.train(sentences, total_examples=model.corpus_count, epochs=model.epochs) \n", - "model.save(\"jrtechs-word2vec.model\")" + "model.wv.most_similar(\"however\")" ] }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 139, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[('constrained', 0.9626229405403137),\n", - " ('logics', 0.9502561092376709),\n", - " ('slide', 0.9486078023910522),\n", - " ('clip', 0.9481177926063538),\n", - " ('syntactically', 0.9479268789291382),\n", - " ('solace', 0.9447624683380127),\n", - " ('containing', 0.9312535524368286),\n", - " ('claims', 0.928554892539978),\n", - " ('exponential', 0.9284722805023193),\n", - " ('scarce', 0.9266577363014221)]" + "[('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": 59, + "execution_count": 139, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "model.wv.most_similar(\"story\")" + "model.wv.most_similar(\"method\")" ] }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 140, "metadata": {}, "outputs": [], "source": [ - "x_vals, y_vals, labels = reduce_dimensions(model)\n" + "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": 63, + "execution_count": 155, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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"text/plain": [ - "
" + "
" ] }, "metadata": { @@ -322,6 +410,56 @@ "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. " + ] + }, + { + "cell_type": "code", + "execution_count": 152, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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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": { diff --git a/notebooks/word-embeddings-part2/ex1.png b/notebooks/word-embeddings-part2/ex1.png new file mode 100644 index 0000000..5c049a6 Binary files /dev/null and b/notebooks/word-embeddings-part2/ex1.png differ diff --git a/notebooks/word-embeddings-part2/smallex.png b/notebooks/word-embeddings-part2/smallex.png new file mode 100644 index 0000000..59aabdc Binary files /dev/null and b/notebooks/word-embeddings-part2/smallex.png differ