openai-cookbook/examples/Classification_using_embeddings.ipynb
2023-01-10 10:37:25 -08:00

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"cells": [
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"## Classification using embeddings\n",
"\n",
"There are many ways to classify text. This notebook shares an example of text classification using embeddings. For many text classification tasks, we've seen fine-tuned models do better than embeddings. See an example of fine-tuned models for classification in [Fine-tuned_classification.ipynb](Fine-tuned_classification.ipynb). We also recommend having more examples than embedding dimensions, which we don't quite achieve here.\n",
"\n",
"In this text classification task, we predict the score of a food review (1 to 5) based on the embedding of the review's text. We split the dataset into a training and a testing set for all the following tasks, so we can realistically evaluate performance on unseen data. The dataset is created in the [Obtain_dataset Notebook](Obtain_dataset.ipynb).\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" precision recall f1-score support\n",
"\n",
" 1 0.88 0.35 0.50 20\n",
" 2 1.00 0.38 0.55 8\n",
" 3 1.00 0.18 0.31 11\n",
" 4 1.00 0.26 0.41 27\n",
" 5 0.74 1.00 0.85 134\n",
"\n",
" accuracy 0.77 200\n",
" macro avg 0.92 0.43 0.52 200\n",
"weighted avg 0.82 0.77 0.72 200\n",
"\n"
]
}
],
"source": [
"# imports\n",
"import pandas as pd\n",
"import numpy as np\n",
"\n",
"from sklearn.ensemble import RandomForestClassifier\n",
"from sklearn.model_selection import train_test_split\n",
"from sklearn.metrics import classification_report, accuracy_score\n",
"\n",
"# load data\n",
"datafile_path = \"data/fine_food_reviews_with_embeddings_1k.csv\"\n",
"\n",
"df = pd.read_csv(datafile_path)\n",
"df[\"embedding\"] = df.embedding.apply(eval).apply(np.array) # convert string to array\n",
"\n",
"# split data into train and test\n",
"X_train, X_test, y_train, y_test = train_test_split(\n",
" list(df.embedding.values), df.Score, test_size=0.2, random_state=42\n",
")\n",
"\n",
"# train random forest classifier\n",
"clf = RandomForestClassifier(n_estimators=100)\n",
"clf.fit(X_train, y_train)\n",
"preds = clf.predict(X_test)\n",
"probas = clf.predict_proba(X_test)\n",
"\n",
"report = classification_report(y_test, preds)\n",
"print(report)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see that the model has learnt to distinguish between the categories decently. 5-star reviews show the best performance overall, and this is not too surprising, since they are the most common in the dataset."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"RandomForestClassifier() - Average precision score over all classes: 0.87\n"
]
},
{
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",
"text/plain": [
"<Figure size 648x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from openai.embeddings_utils import plot_multiclass_precision_recall\n",
"\n",
"plot_multiclass_precision_recall(probas, y_test, [1, 2, 3, 4, 5], clf)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Unsurprisingly 5-star and 1-star reviews seem to be easier to predict. Perhaps with more data, the nuances between 2-4 stars could be better predicted, but there's also probably more subjectivity in how people use the inbetween scores."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "openai",
"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": "3.9.9"
},
"orig_nbformat": 4,
"vscode": {
"interpreter": {
"hash": "365536dcbde60510dc9073d6b991cd35db2d9bac356a11f5b64279a5e6708b97"
}
}
},
"nbformat": 4,
"nbformat_minor": 2
}