csv/asd.ipynb
2025-02-27 18:42:45 +01:00

123 lines
98 KiB
Text

{
"cells": [
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"from keras.datasets import mnist\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(60000, 28, 28)\n",
"[0 1 2 3 4 5 6 7 8 9] [5923 6742 5958 6131 5842 5421 5918 6265 5851 5949]\n",
"[0 1 2 3 4 5 6 7 8 9] [ 980 1135 1032 1010 982 892 958 1028 974 1009]\n"
]
}
],
"source": [
"(x_train, y_train), (x_test, y_test) = mnist.load_data()\n",
"print(x_train.shape)\n",
"unique, counts = np.unique(y_train, return_counts=True)\n",
"print(unique, counts)\n",
"unique, counts = np.unique(y_test, return_counts=True)\n",
"print(unique, counts)\n"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 2000x200 with 10 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"(x_train, y_train), (x_test, y_test) = mnist.load_data()\n",
"\n",
"plt.figure(figsize=(20, 2))\n",
"\n",
"for i in range(10):\n",
" idx = np.where(y_train == i)[0][0]\n",
" \n",
" plt.subplot(1, 10, i + 1)\n",
" plt.imshow(x_train[idx], cmap='gray')\n",
" plt.title(f'Digit: {i}')\n",
" plt.axis('off')\n",
"\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 500x500 with 25 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"indences = np.random.randint(0, len(x_train), 25)\n",
"images = x_train[indences]\n",
"\n",
"plt.figure(figsize=(5, 5))\n",
"for i in range(len(images)):\n",
" plt.subplot(5, 5, i + 1)\n",
" plt.imshow(images[i], cmap='gray')\n",
" plt.axis('off')\n",
"plt.show()\n",
"\n"
]
}
],
"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": "3.12.6"
}
},
"nbformat": 4,
"nbformat_minor": 2
}