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|
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%load_ext autoreload\n",
"%autoreload 2\n",
"\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from PIL import Image\n",
"import torch\n",
"from torch import nn\n",
"\n",
"from importlib.util import find_spec\n",
"if find_spec(\"text_recognizer\") is None:\n",
" import sys\n",
" sys.path.append('..')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"from text_recognizer.datasets import IamLinesDataset, AddTokens"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [],
"source": [
"transform = [{\"type\": \"ToTensor\", \"args\": None}, \n",
" {\"type\": \"ApplyContrast\", \"args\": {\"low\": 0.0, \"high\": 0.2}},\n",
" {\"type\": \"RandomAffine\", \"args\": {\"degrees\": [-1.2, 1.2], \"scale\": [0.9, 1.0]}}\n",
" ]"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"IAM Lines Dataset\n",
"Number classes: 80\n",
"Mapping: {0: '0', 1: '1', 2: '2', 3: '3', 4: '4', 5: '5', 6: '6', 7: '7', 8: '8', 9: '9', 10: 'A', 11: 'B', 12: 'C', 13: 'D', 14: 'E', 15: 'F', 16: 'G', 17: 'H', 18: 'I', 19: 'J', 20: 'K', 21: 'L', 22: 'M', 23: 'N', 24: 'O', 25: 'P', 26: 'Q', 27: 'R', 28: 'S', 29: 'T', 30: 'U', 31: 'V', 32: 'W', 33: 'X', 34: 'Y', 35: 'Z', 36: 'a', 37: 'b', 38: 'c', 39: 'd', 40: 'e', 41: 'f', 42: 'g', 43: 'h', 44: 'i', 45: 'j', 46: 'k', 47: 'l', 48: 'm', 49: 'n', 50: 'o', 51: 'p', 52: 'q', 53: 'r', 54: 's', 55: 't', 56: 'u', 57: 'v', 58: 'w', 59: 'x', 60: 'y', 61: 'z', 62: ' ', 63: '!', 64: '\"', 65: '#', 66: '&', 67: \"'\", 68: '(', 69: ')', 70: '*', 71: '+', 72: ',', 73: '-', 74: '.', 75: '/', 76: ':', 77: ';', 78: '?', 79: '_'}\n",
"Data: (1861, 28, 952)\n",
"Targets: (1861, 97)\n",
"\n"
]
}
],
"source": [
"dataset = IamLinesDataset(train=False, pad_token=\"_\", transform=transform)\n",
"dataset.load_or_generate_data()\n",
"print(dataset)"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(28, 952)"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dataset.input_shape"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(97, 80)"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dataset.output_shape"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'He rose from his breakfast-nook bench____________________________________________________________'"
]
},
"execution_count": 53,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def convert_y_label_to_string(y, dataset=dataset):\n",
" return ''.join([dataset.mapper(int(i)) for i in y])\n",
"\n",
"convert_y_label_to_string(dataset.targets[0])"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"drawing-in great breaths that____________________________________________________________________\n",
"became great sighs of ecstacy.___________________________________________________________________\n",
"\"They have come!\" he said reverently, gripping his_______________________________________________\n",
"hands together between his knees and leaning_____________________________________________________\n",
"forward. \"Isn't it a glorious thing! Long awaited________________________________________________\n",
"transcendent event, the exalted desire of all____________________________________________________\n",
"mankind through all ages! The Kingdom of the_____________________________________________________\n",
"Mind is at hand!\" He turned beaming eyes_________________________________________________________\n",
"upward and shook his head slowly from____________________________________________________________\n",
"A superfluous precaution for there was no other car______________________________________________\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 1440x1440 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x1440 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x1440 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x1440 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x1440 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x1440 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x1440 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x1440 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x1440 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x1440 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for i in range(10, 20):\n",
" plt.figure(figsize=(20, 20))\n",
" plt.xticks([])\n",
" plt.yticks([])\n",
" data, target = dataset[i]\n",
" sentence = convert_y_label_to_string(target, dataset) \n",
" print(sentence)\n",
" plt.title(sentence)\n",
" plt.imshow(data.squeeze(0).numpy(), cmap='gray')"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [],
"source": [
"data, target = dataset[12]\n",
"sentence = convert_y_label_to_string(target) "
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"torch.Size([97])"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"target.shape"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"h, w, s = 28, 5, 5"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"from einops.layers.torch import Rearrange\n",
"slide = nn.Sequential(nn.Unfold(kernel_size=(h, w), stride=(1, s)), Rearrange(\"b (c h w) t -> b t c h w\", h=h, w=w, c=1))"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"140"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"28 * 5"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"patches = slide(data.unsqueeze(0))"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\"They have come!\" he said reverently, gripping his_______________________________________________\n"
]
},
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 2880x2880 with 50 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# remove batch size\n",
"n = 50\n",
"patches = patches.squeeze(0)\n",
"fig = plt.figure(figsize=(40, 40))\n",
"print(sentence)\n",
"for i in range(n):\n",
" ax = fig.add_subplot(1, n, i + 1)\n",
" ax.imshow(patches[i].squeeze(0), cmap='gray')\n",
" ax.set_xticks([])\n",
" ax.set_yticks([])"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"torch.Size([190, 1, 28, 5])"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"patches.shape"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7fabf098e9d0>"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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sjIqKCgKBAPn5+QwODhIMBsnKyqKiooLTp08zNjZmBpjcbjcul4t4PE4kEpH6PkIIIYQQQohFZ8HGuOhMjGg0ysDAADk5Oeawrmg0ilKKoqIifud3foc//dM/5a677qKkpASv10tRURF79uxh06ZNPPjggxQUFJiFW3VnT3fI7J07XT/o9OnTjIyMmNlCHo8Hl8vFpk2bUErx1ltvMTAwwIYNG3C73axdu5YHHniA/Px8SkpK2LVrF1/4whcoKiqivr6ef/u3fyMSiZCXl4fP5zPP0z5kLDc3lzVr1qCU4ujRowSDQWKxGCdPnuTQoUOUlpaSk5PD888/z3/9139RWVnJxo0bKSsr49577yUjI4NHH32UDRs2UF9fz65du/jSl77EQw89hM/nY9myZdTX19PR0cHFixdZvnw5aWlpSdfA7XaTSCTo7u5O6sTbM6tmG2pjrwkUjUYpKipiyZIl/OQnP8Hr9ZKXl4fb7UYpRWZmJsuXL2fnzp309PSwdu1ali5dSnZ29pwd5fT0dFauXMkXv/hF/uzP/oxPfvKTFBYWmp9jRkYG2dnZ5OXl4fV65xyy5fF4yM7OJj8/n4KCAtLT0819XK0ItN1v/dZvUVlZyfLly9mxYwcVFRXAVB2YtWvXsmfPHh5++GF27tyJz+dLOsf09HRWr17N/fffj8/nY/fu3fzRH/0Rd911lxnoS0tLY9OmTSQSCXJzc8nIyDDfc99991FRUZG0Tx3A0s/Apk2bWL9+PTt27GDr1q1UVVXhcrmoqamhtraWl156iRMnTpgBNOtzs3PnTlauXDnjmtiDgvq11+tl586dbN++nU984hPce++9Sfe/lpGRwapVq3jssccoLy832+pyucwMNL3P9PR0MjMzSUtLM9fpe8rv95OdnW2ui0QiHDp0iN7e3hlZOHMNedMZZLFYzBzOGAqFGB0dZfny5dTW1vLwww+zevVqcnNzycrKoqyszCzsnJaWZi6rqamhtLSUjIwMM6AoASAhhBBCCCHEYjGvGT8wszByIpEgHA6Tl5dndpj0X/I9Hg9lZWX84z/+I3/+53/OxMQEDoeDJUuWYBgGP/rRj3j88ccpLCykv7/fLODrcDjYsmUL3d3d9PT0mNkRer9VVVU8++yzZp0OmBpak5OTw5133sl//Md/MDg4iN/vN4ef7N+/nx/84Ac0NjZSWFhIWloa7733HuvWraOrq4ucnByKi4txOp1mO6wdap1hUFxczMaNG3n66afN5br4bFZWFqWlpZw4cQKfz0cgEKCpqcnM/li9ejV33nknFRUVfO1rXyMWi/H+++/zy1/+kgceeID77ruPNWvW8Morr7BmzRrq6up4//33zewNfX37+/uZmJhgdHR0ziE1qQr52mso6c9J1zhqb2/n8OHDFBUVMTg4iMvlYsWKFdx1110MDg7y7W9/m1dffZVjx47R29s76/GdTidLly7lwQcf5F//9V8ZGRnhwQcfxOPx4PV6qampYffu3eTk5JCdnc3+/ftpbGykv79/RjuVUmzbto0dO3ZQU1NDWloae/fuJRAIUFhYSG5uLsPDwymLB+trYT3fhoYGXnjhBU6ePGkON/J6vXz5y1/m1KlTPPfccyxdutQ85qFDhwiHw8RiMcrKysjIyODKlSvcdtttAJw8edLM3Lpy5Qrp6els2rSJxx9/nImJCdatW0d5eTm9vb10dHTwd3/3d/zJn/yJWSvL7/dTUFBAPB6ntbWVzMxMent7OXv2LM3NzWa22OOPP86xY8e4cOECo6OjSfWb9Llu3LgRl8vF+fPnU97H9muzbds2IpEIr7zyCtXV1dx+++189rOf5cknn0zafuXKlezcuZMLFy6wY8cOurq6iMVilJaWkpmZycjICD09PaSnp7Nnzx6qq6u5fPkyx48f58qVK2zbto1HH32UtLQ0Ll26xIEDBzhy5Aijo6N0dXXNqL9l//xcLldSdpO1NpVeFgwGGRkZobKyku3bt/P666+zfft2lFIEAgHy8vKIx+M4nU7uuusuduzYQUZGhpn909LSwhNPPLHg9a2EEEIIIYQQwmreAz+aLqyrO1+6Q6U7a3r4x8GDBxkZGaGxsZG8vDx27NhBWloap06d4pvf/CZ5eXlmfRSd8eFyubj77rt5/fXXGR4eJhKJmEEmPePR8PCwWQdlYmKCnp4eqqqq8Hg8xGIxVq9ezdatWyktLWXLli289957/OQnP+ETn/gEZWVlHD16lDfeeINdu3bh8/n49re/zd69ezl69CjxeHxGTRp9vh6PxxyWAsyYdUkpRXV1NQcPHiQej9PV1WVmdLS0tPCNb3yDv/iLv+A73/kOvb29nD59mpMnT5JIJPjc5z6Hy+Xi/vvvJx6P09jYyL59+8xOru68t7W1mQEbv99Pb28v8OHq+sBU1pbb7SYnJ4dIJMLFixdJJBL09/ebbd6xYwe7d+9myZIl/OpXv+KP//iPGR4eJhgMzlkLxeVy4fF4MAyDnp4e4vE4P/vZz3C73ezatYv169fz4osv0t7eTm5uLt/61re44447eOONN3j77bcBWLduHY2NjWzdupW1a9fS3t7O97//fVwuF7t376aqqop4PM7ly5dpbW1NOTRI8/l8fOpTn6KpqYnLly8zMjKSFDR86KGHaG5u5vDhw9TW1nLbbbfh9Xo5cuQIa9asYfny5ezbt4/KykrS09Pp7u7m85//PO+88w533HEH3/ve9zh//nxSDSY9dGjLli309vbS09PDnj17aGtrY+fOnYTDYZYsWUJVVRXV1dWUl5fz2GOP8eqrr7J161bOnz9PR0cHDoeDmpoa9u7dS11dnRmo8Pl8+Hw+otGoOVQtIyMDh8MxY6YseyBNP2s7d+7kZz/7GUNDQzQ0NFBTU0NNTQ3PPPOMObywsLCQ2tpaMjIyeP75582sPofDQW5uLjU1NUQiEfr7+3E6nWzYsIHDhw9TU1PD3XffbdYE+9u//VvGx8dpaGhg+/btbNq0iWeeeYZt27bxi1/8wpyFzu/3U1ZWhsfj4fjx4zz88MPs3r2b559/ngMHDpj3p1IqqUCz/h20Zs0aXnzxRT744AOWLFmC1+s1g3tKKX7v936PdevWsXfvXlpaWszMKb1esn2EEEIIIYQQi8m8B35SDR3KzMyko6PD7OjqTub4+Lg55XhLSwsrVqxg1apVLFmyhLGxMU6dOsXf//3f097eTlZWFkuXLmXVqlV0dXVxzz338J//+Z9J03jrorc//vGP6e3tNYv+6iLTg4OD1NfX85WvfIXOzk6OHj1Ka2urmTHU2NjIww8/jN/vx+FwEA6HGRgY4K/+6q/4h3/4B95//30zoONyuSguLqa9vT1pKFUsFiMSiVBXV0dTU1NSHZVAIMClS5f40pe+xKlTp8xhZK2trea+b7/9doaGhnjrrbeIxWKMjIyY7Z+YmKChoYHGxkYaGxtpb283g1DWAth66mpdUFoHfmb7rOZapuv3JBIJcz9KKbxer5nFcvbsWX7wgx/Q19dHIBC4plnKotEoXV1dnDx5kn/+53/mu9/9Lt3d3axfv57s7Gw++OADLl68SDQaJRaLMTY2xsaNGwmFQjQ1NREKhbj33ns5f/48W7ZsYWBggGPHjpkBjv/+7//GMAxuv/12/H7/VdsDU8PFHnzwQdra2sx7QmeKrVy5kn379lFeXs66devo6+vjxRdfZGJigs7OTh555BHeeustCgsLycvLM2ehysjI4Hvf+x6XL182Aw9ZWVls3boVh8Nh1oQqLy+nq6uL3t5eXn75Zerq6vjGN77BlStXOHjwIG+++Saf+tSn2LhxIwcPHjQDnbrgcnNzM+Pj49x///0UFRUxPDxMTk4OW7du5bOf/SyHDx/m1VdfpbKykjNnzpjDJFMVftb3stPppKSkhEgkQllZGQUFBYyNjTE2NkZdXZ0ZkPT7/fh8PsbGxohEImb9K4CRkRGCwaD5GYRCIQKBAG1tbRw9epTq6mruu+8+tm/fzjPPPMPQ0BDHjx9ndHSU+vp6HnroIfx+P++99x7t7e2sXr2a1atXU1NTQ2ZmJh6Ph0gkwr59+6iurmbbtm289tprZraUPh891EwPTXz33XcZHx8nEAiYgR2Hw0FmZiZ5eXk4nU7S09Nxu93mcE1dt0wCP0IIIYQQQojFZEEzfmAqayQajXLs2DGzM6aUYmxsjBMnTjA4OAhgFlru7e2lpaWF8vJyrly5wpUrV5icnMQwDCYmJhgbGwOmghvj4+MzpoKPxWIcPXqUQCBgdvQmJyfp7+9nfHycn//854yOjprDxPRx4/E4o6OjNDU1UV9fTyKRIBKJcOHCBZqbm1m9ejW9vb1UVFSQn59PYWEhp06doqOjI+l8+/r6aGxs5Hd/93fNYr66OPPg4CD9/f08//zzrFixgmg0SmNjI5cvX6a3t5fJyUmeeuopJiYmOHDgADBVvFhnL7zzzjuUlpZSXFxMWVkZTqeTtLQ0/H4/L7/8shlwMQyDSCTCyMgIFy5cuOowmbk+Qx2o0J+RzqKAqVotTqeTkZERLl++TDQaTTnlfSqJRILh4WEOHToEwBe+8AVef/111q5dy+joqJlpoZSioaGBvr4+8vPziUajZGZmEo1GKSkpMTM1YrEYwWDQvL9GR0fp7e0lJyeHnJwcXC5XUkDCLhqN0tTUxB/8wR/w1FNPmddSB2ai0SihUIjx8XF6e3sJBoOMjo6SSCQIBALk5uZy22234fP5iMfj5OXlMT4+zqFDh+jq6iIYDJpButHRUV555RUzMOFyuRgcHOT48eNmwejs7Gxqa2s5fPgwJ0+eJBKJ0NbWRllZGQ6Hg9bWVgKBgBlIjUQiXLlyhRdeeIG6ujoikQg9PT00NTURi8Vwu91MTk6aBdetz81cAUCPx0N6ejoNDQ14PB6OHTtGPB5n27ZtnDlzBpjKlkpLS0sayqnPbXh4mMHBQdLT080AzOTkpBmsjEQiZtu3bdtGe3s7Xq+XsrIy8vLyzJm8amtrUUqxatUqIpEITU1NbN++nZUrV3L+/Hm8Xi+bN2+moqKCRCLB/v37Z9zvOvijAz6GYTAwMGAWINefz6FDh3A4HOzatYu7776bnp4ejh8/zrFjx+asMyWEEEIIIYQQC2HBavxYAz+Dg4Nm5gpMdSrHxsZobGw0a5Ho2Yy6u7tpb2+nvLycwcFBcxhXJBKhr68Ph8NBdna2OZW3vaaQUsrMytEd0WAwyIULFwiHw7zxxhsATExMJHWEdVvfffdd+vr6zJm7ent7ef7556mrq2PFihWEw2Gz4HEgEJhx/iMjI5w8eZKVK1eybt06xsbGGB0dJRQKmcGrN954gzVr1jA+Pk5ra6t5LgMDA7z11ltEo1FaW1vNTAyXy2UGynQB3PLycvLy8giFQoRCoRmBnHg8TjAYNIdcXUugZ7bPUdf30ddJB990QCEnJ4fy8nIzM2lsbOyajhMOh81MsIqKCu666y6ysrKIxWJkZmbi9/uprq6mtraWM2fOMDExQSAQMIfc6MBQT08PHo+HgoICOjs7ganhQKFQiEgkgs/nIzs72wwyphKPx2lrazNrDFlnB5ucnCQSiXDnnXcSDAYJBAIMDAyYQwnD4TDnz5+ntraWnp4eurq6cLlc+P1+8vLyCAQChMNhMygWCATMwI9hGFy6dMnMoBofH8fpdDIwMEBTUxMnTpygp6eHzMxMM/CUSCQ4fvx4Ug0lwzAIh8O8/vrrLF26lGAwyPj4OAMDA3R1dVFcXEwkEmFiYsJsy1yZKzp419rayoYNG8z6RDrIsn37dtxuN4D5OeTk5JhDG/W5hcNh+vv7zRo8DoeDaDTK0qVLyc/Px+VycfnyZbq6uti6dSunT58mLS2NnJwcs+ZRVVWVGdDx+/1cuHCBixcvmjW3ysvLycrKYmRkhOLiYm6//XYOHDhgPnP2YuVDQ0PmUDd9nqFQiJ6eHmKxGJcuXcLn87Fu3ToKCgrw+/1s27aNiooK9u/fn/S8CSGEEEIIIcRCm9fAj+4MWTvNOqBjLzIbDoe5cOECgBlUaGlpMTMpurq6ZgRlRkdHiUQi5lCb2QoU29swNjZGc3MzDoeDkZERc3Yx3Tm11jZpamqiubkZwMxg2bdvH+3t7axatcps58mTJxkdHZ1R4HlycpKuri5+8YtfcN999+H1emlpaaGnp8eczWxwcJCDBw8mtVdnGOkixNb9xuNxent7cTqdvPDCC6xdu5aamhqUUnR3d5t1h+znkirzJtW1SkVnR+g6RNZAXl9fH5mZmYyOjhIMBikpKWH9+vUMDw9z6tQpMzA0F/256Vo37777Lo899hjt7e04nU7Wrl1LVlYWt912GwMDAzQ2NtLZ2UlaWhqxWIxEIsHZs2eJx+OcOnWKzZs3s2rVKq5cuUI8Hqe+vp7h4WFaWlrwer1UVVUxNDQ0Z7HrcDjM0aNHzWFOMBXU0Nlh27Zto7W1lRMnTpjFxvXwwv3797Nlyxa6uro4d+4cBQUFOBwONm3axMTEhDnDHEAkEuHcuXPmNT506BAbNmxg1apVeL1erly5wtjYGE8++SQtLS1m8DMQCJjnfOLECbOmlfWcOjs7aWtrM89Jf4atra2UlZUxMTFBKBRKKvysZ4Gz7yuRSPD6669z9913c+7cOZqbm+no6CA7Oxufz0deXh5DQ0MMDw8zNDREYWGh+dlq8XjczHzTvw8mJiZYuXIlY2NjXLp0iaNHjzI+Ps4nP/lJ1q5dSzgc5uLFi5w7d45wOIzT6aSiosIsEj0yMsLQ0BBHjhzB7/dz++2343a7efvtt6mpqWH9+vUUFRXR0dFhnpMOdDmdTvr6+sxhdxkZGaSlpdHb28ulS5fMQuanTp3i3LlzZGVlsWrVKj796U/zmc98hjNnznDp0iUJ/AghhBBCCCEWDXWtGR4fBYfDYfh8PvOv/npoh8680Z1p3SH1eDxJQz+sWSnWTqt1tp68vDw+/elPk5mZyU9/+lPGxsaSiifrDl3SRZgOMFgDU3r/usNr3UYXSrYOd4FfF2rWU0TrQI61fdYOodPpTOpM62thDexYs5as2Ql6tjHdfus6XSTbPl219drNxhrAse43VYBI16DJzc0FIBAImEV7nU4nkUiEtLQ0lixZwooVK+jp6eHw4cMzht/Z6eFZHo+HjIwMdu3axfbt23nuuedobm6msrKSTZs2EYvFeO2112hvbzezxaxt18E9j8fDnj17WL16NQMDA/T19VFVVcUPf/hDqqqq2L59O6FQiB/96Edz1h9yOBysWLECt9tNW1ubmdHldDpnDPGx3qPWc7LeC263m7S0tKTZ5azD7vT94fF4kqY810PS3G530j2rpzfX18D6n26fzkaztlOfQ319PY8++ihvvvkmr7zyilnbprq6mnA4zNDQkLl/vS997tbnOD09nT/8wz/kwoULvPPOO4RCIXN69u7ubjMwZz2+9Rx27dpFQ0MDTU1NnD59mkQigcfj4W/+5m945plnuHjxImNjY8TjcbxeL+Xl5dTW1nL27FlisRiBQIBAIGDO2LVixQqCwSBDQ0PU19ezbds22traePrpp4lGo+Y55OXlsXz5choaGnjqqadwOp088MADXL58mZaWFvLy8li1ahXNzc1m1lp6ejrl5eVs2bKF3//93+ef/umf2Ldvn5kRKIQQQgghhBDz5KhhGJtSrZj3oV72jqg1a8Ua7ADMoIWVtTNtD2bozvSSJUvYt2/fjE683peu1WENcsCvhy3pjqk1+GOfpcva0dfBDmt9FL2tNXPCHsixBgH0tvpYettUASPd+dfL7RkUqTKdrNfRGkiyzipmD+7Yr7P9/TqwNDg4mPS56Ouup7Zvbm7mzJkz1zzN9c6dO1m5ciVer9cczvOXf/mX5pChvr4+jh07Zt5L1sLVVtZgyt69e/nggw9YuXIl0WiUl156iVAoxNjYGLm5uWRkZFy1XYlEwsz2sh7PXhPHep2sn4MeAqRfh8NhM3hkz8bS+7UG7/TyWCxmBtb0vWI/rm6vvhd0zRxrcNV6Xkop8vPzk4b/aSUlJVRVVXHw4MEZhcCtwVHr9XjppZf4+te/TmNjI4FAwCxmbb0HUt1viUSCCxcusGrVKuDXw8QcDgeHDx/G5/OZz6K+hjowo6+XPdB77tw585o3NzeTnp7OI488wrPPPpuUMTg5OUlPTw/9/f3m8NHXXnuNSCRiDvscGRnhscceo7i42Azs6OGq3/nOd3jnnXeSgmNCCCGEEEIIsdCuGvhRSlUCPwWKAQN4wjCM/6OU+n+ArwD905v+tWEYv7za/qyBDssxMAwjaQpp62vd6bV2ZHU2hH6/DuR4PB6WLl1Ke3s7iUQiKftFZ+rYA0zW9tj/Sm/dt+4g63bAr7OD9Ixk1nX287Neg7mujTVwY22rDtRYA13WzBb7vuzZPfb6SjB7QGgu9qDHbO+zBpQ+TGbZW2+9ZRbQ1fvQw5nsQS09Q5m1w2/9vHQ7QqEQbW1t9PT0mAEDHbB48803zX1dTarzSHVPW8/bnjllXT7b/nU2nHU/MPMzmi1zxpr1ZA0UWp8Z/T4dDFq2bBmtra309PQkZYmdOXOG2trapPvMGpyyvoapz0oXYc7MzGRoaMjMHprrOuq2BgIBgsGgOZRS3/vd3d1mYDYSiZBIJMz6UtZ96uusZ9nS19LhcBAIBOjp6cHr9bJ8+XKam5vN3zPj4+NMTEwk1SHSU787HA4mJiZ4//33OXXqFF6v1xwCpwOd4XCYycnJOYuECyGEEEIIIcR8u5aMnxjwTcMwGpVSWcBRpdSvptf9i2EY3/2wB02VpWIPytiHN1kzcOxBDb2Nz+cjPz8fj8djzuBkzb6xBlOsAQtr8MTaebTXwUk17El3Gu1BoWvt+NnbYM0wsgeAdBvsmTjWbCnr8tnYAwnX+r659mXPSLqe/Vk77DoAZw+OpAqC2LM87NfPep10QV9rwOTDfmap2pwqwDbXNqmyXeYKCNpZa9LYr4k1gGUNlqZ6djS3201lZSXvvvuuWeRav0cHPEZHR1O2KS0tbcazFovFaGxspKamxgy2XO36WocX9vb2JhUBj8fjjI2NMTAwQCAQMLeNxWLms2v/HQGY10evi8fjDAwMcOTIETZs2MDFixfN9dZAof1+tgZ0JyYmzGwr+3Ht2YRCCCGEEEIIsdCuGvgxDKMb6J7+eUwpdRYov94DWgMsqTJv7MOBrIEf6zL7PnVnKxQKceDAgaQ6ItY6KLqDZ++MWzMk7EOw7FkmqdphX2d//WHY22bPGJlNqrbZO7CpAilzteFafRQZDlcLjKSq85TqntHr7Z+f/jnV5wvX/5nZg5VznVuqAJl1P6neo+/NVJ+lNdBhDUBa92cfWmkPZCqlSEtLIxgMmoWjrW2Lx+N0dnbOyNrR3G43xcXFeDweczhZYWEhDoeDoqIifD7fNV1bvX5ycpIzZ86YdXy0jo4OxsfHzewv6/lZzy3Vcay/C4LBIJcvX+aOO+7gueeeM/cHv8460vuzXjtrJpm1WLo1KKTvUyGEEEIIIYRYLD5UjR+l1BJgPfAesB34mlLqC8ARprKChlO856vAV6d/Tpm5Yh2io9fZO+XWZakyKnSmw9DQEK+99lpSZ8zeYbZ2ePUye0Fg+7FTBaTmuE5X3cZutiwc67pU1yJVe+w/X2uwZzH6KNtvz0SaLWh0o+27GmvA4mrBoqsFE+33uHVIo/2ema0d+lloamqit7eXycnJGduHQqFZ2xmPx3G73aSnpwPg8/morq4mFAqZw7yuJbim2zM5OUlbW9uM9vX19SV9Zvbg12z7y87ONocEpqenU1paSnp6elK2kPU49vfbg0w6s8d+jSXLRwghhBBCCLEYXfOsXkqpTOAg8D8Nw3hOKVUMDDBV9+fvgVLDML401z6cTqfh9XqTOmvWbAl7p2u2bBV7BoT+2el0mp1ee6FXe2aR/jdVO6yzjunjWduh//Kf6trZMzCudn1TZQpZ92Vfbl1mH56W6lqlWj/bPj9MwCrVud1IltNcx9FtutGMHPvPuk7U9QTqZmuj9bVmrVVkzRyb7T5JleGl35cqi0cvt86UZw+K6PXW91jXWWeJs2e0XAs9w5uexr2goIBYLEZbWxvj4+NmHRwdoJ1tH4ZhmHW59DLrM2m9znp/urC6fVZAfa51dXUYhkFOTg4VFRVUVlaSlZXFgQMH+OCDD5icnJyx70QiMWPmPGub9DIrp9NpnufY2JjM6iWEEEIIIYSYT7PO6nVNgR+llBt4GXjFMIz/nWL9EuBlwzBWz7Ufp9Np6Hog1mCPvVCz7rjpor1A0hAsvd30PlMGjuzDP6ydY+t6zdpZtrZH78M+rMRy7maH71qzR2YL9swV3JgtOGDfxm62baxZUqnev5iyglIFQq7n/dbX2kdxnrMFjq523KsFnK41g8Q+BM4e4JwtWJjqubGum6tts7XXGoCF5CCSNTg11z6sQzft7bLev5rL5ZrxvOpzNQyDgoICysrKyMvLIxQK0dfXx+joKJFIxKwnZf2dZJ+9zxocs86OZs2s0r+fdOAnGAzOmFVQCCGEEEIIIT5G1x/4UVM9rCeBIcMwvm5ZXmpM1f9BKfUNYKthGJ+7yr76gQmmMoWEEItXAfKcCrHYyXMqxG8GeVaFWPzkORU3g2rDMApTrbiWwM8O4C3gJKD/FP7XwCPAOqaGerUCf6wDQVfZ35HZolBCiMVBnlMhFj95ToX4zSDPqhCLnzyn4mZ3LbN6vQ2kGnPyy4++OUIIIYQQQgghhBDioyLzDgshhBBCCCGEEELcpBYi8PPEAhxTCPHhyHMqxOInz6kQvxnkWRVi8ZPnVNzUrnk6dyGEEEIIIYQQQgjxm0WGegkhhBBCCCGEEELcpOYt8KOU+m2l1Dml1EWl1Lfm67hCiGRKqUql1BtKqTNKqdNKqf8xvdyvlPqVUurC9L9508uVUur/nX52TyilNizsGQhxa1FKOZVSx5RSL0+/rlFKvTf9TP6nUsozvdw7/fri9PolC9pwIW4RSqlcpdSzSqlmpdRZpdQ2+U4VYvFRSn1j+v99Tymlfq6USpPvVHGrmJfAj1LKCfx/wG6gHnhEKVU/H8cWQswQA75pGEY9cDvwZ9PP47eA1wzDWA68Nv0app7b5dP/fRX4/vw3WYhb2v8Azlpe/y/gXwzDWAYMA1+eXv5lYHh6+b9MbyeE+Pj9H2C/YRgrgbVMPa/ynSrEIqKUKgf+AthkGMZqwAl8DvlOFbeI+cr42QJcNAzjkmEYEeBpYM88HVsIYWEYRrdhGI3TP48x9T+o5Uw9k09Ob/Yk8LvTP+8BfmpMOQzkKqVK57fVQtyalFIVwP8F/HD6tQLuBp6d3sT+rOpn+FngnunthRAfE6VUDnAn8CMAwzAihmGMIN+pQixGLsCnlHIB6UA38p0qbhHzFfgpBzosrzunlwkhFtB02up64D2g2DCM7ulVPUDx9M/y/AqxcB4H/gpITL/OB0YMw4hNv7Y+j+azOr1+dHp7IcTHpwboB/5jekjmD5VSGch3qhCLimEYXcB3gXamAj6jwFHkO1XcIqS4sxC3KKVUJvBfwNcNwwhY1xlT0/3JlH9CLCCl1P1An2EYRxe6LUKIWbmADcD3DcNYD0zw62FdgHynCrEYTNfZ2sNUsLYMyAB+e0EbJcQ8mq/ATxdQaXldMb1MCLEAlFJupoI+PzMM47npxb063Xz6377p5fL8CrEwtgOfVkq1MjVE+m6maonkTqepQ/LzaD6r0+tzgMH5bLAQt6BOoNMwjPemXz/LVCBIvlOFWFzuBS4bhtFvGEYUeI6p71n5ThW3hPkK/HwALJ+umu5hqpDWi/N0bCGExfT45B8BZw3D+N+WVS8Cj03//Biw17L8C9MzkdwOjFrS14UQHxPDMP5vwzAqDMNYwtT35uuGYXweeAP4zPRm9mdVP8Ofmd5esgyE+BgZhtEDdCilVkwvugc4g3ynCrHYtAO3K6XSp/9fWD+r8p0qbglqvu5fpdSnmKpV4AR+bBjG/5yXAwshkiildgBvASf5dd2Qv2aqzs8vgCqgDfisYRhD01+O32MqHTYIfNEwjCPz3nAhbmFKqbuAvzQM436l1FKmMoD8wDHgDwzDmFRKpQFPMVW3awj4nGEYlxaoyULcMpRS65gqwO4BLgFfZOqPq/KdKsQiopT6W+Bhpma4PQb8EVO1fOQ7Vdz05i3wI4QQQgghhBBCCCHmlxR3FkIIIYQQQgghhLhJSeBHCCGEEEIIIYQQ4iYlgR8hhBBCCCGEEEKIm5QEfoQQQgghhBBCCCFuUhL4EUIIIYQQQgghhLhJSeBHCCGEEEIIIYQQ4iYlgR8hhBBCCCGEEEKIm5QEfoQQQgghhBBCCCFuUv8/S8iNDFw5qb8AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 1440x1440 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(20, 20))\n",
"plt.imshow(data.squeeze(0).numpy(), cmap='gray')"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"from text_recognizer.datasets.transforms import Compose, AddTokens"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"target_transform = Compose([torch.tensor, AddTokens(init_token=\"<sos>\", pad_token=\"_\", eos_token=\"<eos>\")])"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"IAM Lines Dataset\n",
"Number classes: 82\n",
"Mapping: {0: '0', 1: '1', 2: '2', 3: '3', 4: '4', 5: '5', 6: '6', 7: '7', 8: '8', 9: '9', 10: 'A', 11: 'B', 12: 'C', 13: 'D', 14: 'E', 15: 'F', 16: 'G', 17: 'H', 18: 'I', 19: 'J', 20: 'K', 21: 'L', 22: 'M', 23: 'N', 24: 'O', 25: 'P', 26: 'Q', 27: 'R', 28: 'S', 29: 'T', 30: 'U', 31: 'V', 32: 'W', 33: 'X', 34: 'Y', 35: 'Z', 36: 'a', 37: 'b', 38: 'c', 39: 'd', 40: 'e', 41: 'f', 42: 'g', 43: 'h', 44: 'i', 45: 'j', 46: 'k', 47: 'l', 48: 'm', 49: 'n', 50: 'o', 51: 'p', 52: 'q', 53: 'r', 54: 's', 55: 't', 56: 'u', 57: 'v', 58: 'w', 59: 'x', 60: 'y', 61: 'z', 62: ' ', 63: '!', 64: '\"', 65: '#', 66: '&', 67: \"'\", 68: '(', 69: ')', 70: '*', 71: '+', 72: ',', 73: '-', 74: '.', 75: '/', 76: ':', 77: ';', 78: '?', 79: '_', 80: '<sos>', 81: '<eos>'}\n",
"Data: (7101, 28, 952)\n",
"Targets: (7101, 97)\n",
"\n"
]
}
],
"source": [
"dataset = IamLinesDataset(train=True, init_token=\"<sos>\", pad_token=\"_\", eos_token=\"<eos>\")\n",
"dataset.load_or_generate_data()\n",
"print(dataset)"
]
},
{
"cell_type": "code",
"execution_count": 342,
"metadata": {},
"outputs": [],
"source": [
"data, target = dataset[181]\n",
"sentence = convert_y_label_to_string(target, dataset) "
]
},
{
"cell_type": "code",
"execution_count": 343,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"([], [])"
]
},
"execution_count": 343,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 5760x1440 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(80, 20))\n",
"plt.title(sentence)\n",
"plt.imshow(data.squeeze(0).numpy(), cmap='gray')\n",
"plt.xticks([])\n",
"plt.yticks([])"
]
},
{
"cell_type": "code",
"execution_count": 344,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tensor(0.0631)"
]
},
"execution_count": 344,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.mean()"
]
},
{
"cell_type": "code",
"execution_count": 345,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tensor(0.1638)"
]
},
"execution_count": 345,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.std()"
]
},
{
"cell_type": "code",
"execution_count": 346,
"metadata": {},
"outputs": [],
"source": [
"from torchvision import transforms"
]
},
{
"cell_type": "code",
"execution_count": 347,
"metadata": {},
"outputs": [],
"source": [
"n = transforms.Normalize((0.5,), (1.,))"
]
},
{
"cell_type": "code",
"execution_count": 390,
"metadata": {},
"outputs": [],
"source": [
"ra = transforms.RandomAffine((-1.1, 1.1), scale=(0.5, 1))"
]
},
{
"cell_type": "code",
"execution_count": 399,
"metadata": {},
"outputs": [],
"source": [
"d = ra(data)\n",
"d = (d > 0.15) * d\n",
"d = (d - d.mean()) / d.std()"
]
},
{
"cell_type": "code",
"execution_count": 400,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"([], [])"
]
},
"execution_count": 400,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 4320x1440 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(60, 20))\n",
"plt.title(sentence)\n",
"plt.imshow(d.squeeze(0).numpy(), cmap='gray')\n",
"plt.xticks([])\n",
"plt.yticks([])"
]
},
{
"cell_type": "code",
"execution_count": 351,
"metadata": {},
"outputs": [],
"source": [
"import torchvision"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {},
"outputs": [],
"source": [
"d = torchvision.transforms.functional.gaussian_blur(d, 7, (0.75, 0.75))"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"([], [])"
]
},
"execution_count": 78,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 5760x1440 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(80, 20))\n",
"plt.title(sentence)\n",
"plt.imshow(d.squeeze(0).numpy(), cmap='gray')\n",
"plt.xticks([])\n",
"plt.yticks([])"
]
},
{
"cell_type": "code",
"execution_count": null,
"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": "3.8.2"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
|
