openai-cookbook/examples/Classification.ipynb
2022-06-03 12:56:03 -07:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Classification using the embeddings\n",
"\n",
"In the classification task we predict one of the predefined categories given an input. We will predict the score based on the embedding of the review's text, where the algorithm is correct only if it guesses the exact number of stars. 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",
"\n",
"In the following example we're predicting the number of stars in a review, from 1 to 5."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" precision recall f1-score support\n",
"\n",
" 1 0.82 0.67 0.74 21\n",
" 2 0.50 0.50 0.50 6\n",
" 3 1.00 0.46 0.63 13\n",
" 4 0.75 0.35 0.48 17\n",
" 5 0.88 1.00 0.93 143\n",
"\n",
" accuracy 0.86 200\n",
" macro avg 0.79 0.60 0.66 200\n",
"weighted avg 0.86 0.86 0.84 200\n",
"\n"
]
}
],
"source": [
"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",
"df = pd.read_csv('output/embedded_1k_reviews.csv')\n",
"df['babbage_similarity'] = df.babbage_similarity.apply(eval).apply(np.array)\n",
"\n",
"X_train, X_test, y_train, y_test = train_test_split(list(df.babbage_similarity.values), df.Score, test_size = 0.2, random_state=42)\n",
"\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)"
]
},
{
"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: 0.93\n"
]
},
{
"data": {
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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)"
]
},
{
"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": {
"interpreter": {
"hash": "be4b5d5b73a21c599de40d6deb1129796d12dc1cc33a738f7bac13269cfcafe8"
},
"kernelspec": {
"display_name": "Python 3.7.3 64-bit ('base': conda)",
"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": "3.7.3"
},
"orig_nbformat": 4
},
"nbformat": 4,
"nbformat_minor": 2
}