mirror of
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104 lines
55 KiB
Plaintext
104 lines
55 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": null,
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"id": "0537d051",
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"metadata": {},
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"outputs": [],
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"source": [
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"from pyclustertend import hopkins, vat\n",
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"\n",
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"import numpy as np\n",
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"\n",
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"from sklearn.datasets import load_iris\n",
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"\n",
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"rng = np.random.default_rng(42)\n",
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"\n",
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"iris = load_iris(as_frame=True)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 28,
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"id": "0e5dc717",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Hopkins statistic: 0.8337\n"
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]
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},
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{
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"/Users/arthurdanjou/Workspace/studies/.venv/lib/python3.13/site-packages/pyclustertend/hopkins.py:53: FutureWarning: Series.__getitem__ treating keys as positions is deprecated. In a future version, integer keys will always be treated as labels (consistent with DataFrame behavior). To access a value by position, use `ser.iloc[pos]`\n",
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" uniformly_selected_values_0 = np.random.uniform(min_data_frame[0], max_data_frame[0], sampling_size)\n",
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"/Users/arthurdanjou/Workspace/studies/.venv/lib/python3.13/site-packages/pyclustertend/hopkins.py:54: FutureWarning: Series.__getitem__ treating keys as positions is deprecated. In a future version, integer keys will always be treated as labels (consistent with DataFrame behavior). To access a value by position, use `ser.iloc[pos]`\n",
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" uniformly_selected_values_1 = np.random.uniform(min_data_frame[1], max_data_frame[1], sampling_size)\n",
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"/Users/arthurdanjou/Workspace/studies/.venv/lib/python3.13/site-packages/pyclustertend/hopkins.py:59: FutureWarning: Series.__getitem__ treating keys as positions is deprecated. In a future version, integer keys will always be treated as labels (consistent with DataFrame behavior). To access a value by position, use `ser.iloc[pos]`\n",
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" uniformly_selected_values_i = np.random.uniform(min_data_frame[i], max_data_frame[i], sampling_size)\n"
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]
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}
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],
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"source": [
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"hopkins_val = hopkins(iris.data, len(iris.data))\n",
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"print(f\"Hopkins statistic: {1 - hopkins_val:.4f}\")"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 30,
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"id": "b2f0c0a0",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 600x600 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"vat(iris.data, figure_size=(6, 6))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "cb2cc242",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"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": "3.13.9"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|