openai-cookbook/examples/Visualizing_embeddings_in_2D.ipynb

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visualizing the embeddings in 2D\n",
"\n",
"We will use t-SNE to reduce the dimensionality of the embeddings from 2048 to 2. Once the embeddings are reduced to two dimensions, we can plot them in a 2D scatter plot. The dataset is created in the [Obtain_dataset Notebook](Obtain_dataset.ipynb)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 1. Reduce dimensionality\n",
"\n",
"We reduce the dimensionality to 2 dimensions using t-SNE decomposition."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(1000, 2)"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import pandas as pd\n",
"from sklearn.manifold import TSNE\n",
"\n",
"# Load the embeddings\n",
"datafile_path = \"https://cdn.openai.com/API/examples/data/fine_food_reviews_with_embeddings_1k.csv\" # for your convenience, we precomputed the embeddings\n",
"df = pd.read_csv(datafile_path)\n",
"\n",
"# Convert to a list of lists of floats\n",
"matrix = df.babbage_similarity.apply(eval).to_list()\n",
"\n",
"# Create a t-SNE model and transform the data\n",
"tsne = TSNE(n_components=2, perplexity=15, random_state=42, init='random', learning_rate=200)\n",
"vis_dims = tsne.fit_transform(matrix)\n",
"vis_dims.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 2. Plotting the embeddings\n",
"\n",
"We colour each review by its star rating, ranging from red to green."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can observe a decent data separation even in the reduced 2 dimensions. There seems to be a cluster of mostly negative reviews."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Amazon ratings visualized in language using t-SNE')"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import matplotlib\n",
"import numpy as np\n",
"\n",
"colors = [\"red\", \"darkorange\", \"gold\", \"turquoise\", \"darkgreen\"]\n",
"x = [x for x,y in vis_dims]\n",
"y = [y for x,y in vis_dims]\n",
"color_indices = df.Score.values - 1\n",
"\n",
"colormap = matplotlib.colors.ListedColormap(colors)\n",
"plt.scatter(x, y, c=color_indices, cmap=colormap, alpha=0.3)\n",
"for score in [0,1,2,3,4]:\n",
" avg_x = np.array(x)[df.Score-1==score].mean()\n",
" avg_y = np.array(y)[df.Score-1==score].mean()\n",
" color = colors[score]\n",
" plt.scatter(avg_x, avg_y, marker='x', color=color, s=100)\n",
"plt.title(\"Amazon ratings visualized in language using t-SNE\")"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3.9.9 ('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
}