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@jvlmdr
Created March 30, 2022 06:40
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Class balance of iNaturalist datasets
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "5c2b612a",
"metadata": {},
"outputs": [],
"source": [
"import collections\n",
"import csv\n",
"import itertools\n",
"import json\n",
"\n",
"import matplotlib\n",
"from matplotlib import pyplot as plt\n",
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "0e1c7170",
"metadata": {},
"outputs": [],
"source": [
"FILES = {\n",
" 'inat17': 'data/inat17/train2017.json',\n",
" 'inat18': 'data/inat18/train2018.json',\n",
" 'inat19': 'data/inat19/train2019.json',\n",
" 'inat21': 'data/inat21/train.json',\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "e8364e3e",
"metadata": {},
"outputs": [],
"source": [
"def load_counts(dataset):\n",
" with open(FILES[dataset]) as f:\n",
" data = json.load(f)\n",
" labels = [label['category_id'] for label in data['annotations']]\n",
" categories = [category['id'] for category in data['categories']]\n",
" counter = collections.Counter(labels)\n",
" counts = [counter[cat_id] for cat_id in categories]\n",
" return counts"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "7b92004d",
"metadata": {},
"outputs": [],
"source": [
"counts = {dataset: load_counts(dataset) for dataset in FILES}"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "eb22b3bd",
"metadata": {},
"outputs": [],
"source": [
"def make_pdf(counts):\n",
" counts = sort_desc(counts)\n",
" x = np.arange(1, len(counts) + 1) / len(counts)\n",
" y = counts / np.sum(counts)\n",
" return x, y\n",
"\n",
"def make_cdf(counts):\n",
" x, y = make_pdf(counts)\n",
" return x, np.cumsum(y)\n",
"\n",
"def sort_desc(x):\n",
" x = np.asarray(x)\n",
" return x[np.argsort(-x)]"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "e5edfb7d",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(6, 6))\n",
"plt.plot([0, 1], [0, 1], color='gray', alpha=0.5, linestyle='--')\n",
"for dataset in FILES:\n",
" x, y = make_cdf(counts[dataset])\n",
" plt.plot(x, y, label=dataset)\n",
"plt.axis('square')\n",
"plt.grid()\n",
"plt.legend()\n",
"plt.title('cdf')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "ab6e6d7a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(6, 6))\n",
"for dataset in FILES:\n",
" x, y = make_pdf(counts[dataset])\n",
" plt.plot(x, y, label=dataset)\n",
"plt.grid()\n",
"plt.legend()\n",
"plt.title('pdf')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "f7e046f6",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(6, 6))\n",
"for dataset in FILES:\n",
" x, y = make_pdf(counts[dataset])\n",
" plt.plot(x, y, label=dataset)\n",
"plt.grid()\n",
"plt.legend()\n",
"plt.yscale('log')\n",
"plt.title('log pdf')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "604c495a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Construct log-log plot.\n",
"# Power-law distributions are linear in log-log space.\n",
"\n",
"plt.figure(figsize=(6, 6))\n",
"for dataset in FILES:\n",
" y = sort_desc(counts[dataset])\n",
" x = np.arange(1, len(y) + 1)\n",
" plt.plot(x, y, label=dataset)\n",
"plt.grid()\n",
"plt.legend()\n",
"plt.xscale('log')\n",
"plt.yscale('log')\n",
"plt.title('log-log counts')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "e03036e4",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.8.10"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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