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Chronos T5 Sample Run
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Chronos-t5 を試す\n", | |
"\n", | |
"Amazon が最近公開した Chronos-t5 を試してみます。\n", | |
"Chronos-t5 は、言語モデルのアーキテクチャーを用いた事前学習済みの時系列モデルです。\n", | |
"\n", | |
"特徴:\n", | |
"\n", | |
"- 言語モデルのアーキテクチャーを用いた事前学習済みの時系列モデル\n", | |
"- 時系列データをトークン列に変換し、言語モデルで学習させる\n", | |
"- 710M パラメーターの Chronos-t5-large モデルを使って、時系列データの予測を行います。\n", | |
"\n", | |
"Huggingface 上の説明文の翻訳:\n", | |
"\n", | |
"`Chronosは、言語モデルアーキテクチャに基づいた時系列予測のための事前学習済みモデルファミリーです。時系列データはスケーリングと量子化によってトークン列に変換され、言語モデルはクロスエントロピー損失を用いてこれらのトークンで学習されます。学習後、確率的な予測は、過去のコンテキストを与えて複数の未来の軌跡をサンプリングすることで得られます。Chronosモデルは、公開されている大規模な時系列データと、ガウス過程を用いて生成された合成データを用いて学習されています。`\n", | |
"\n", | |
"- モデル: https://huggingface.co/amazon/chronos-t5-large\n", | |
"- 論文: https://arxiv.org/abs/2403.07815\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## セットアップ\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"!pip install git+https://github.com/amazon-science/chronos-forecasting.git\n", | |
"!pip install pandas matplotlib torch" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## AirPassengers のデータセットで試す\n", | |
"\n", | |
"時系列系データセットでよく用いられる AirPassengers のデータセットを使って、Chronos-t5 で予測を行います。\n", | |
"サンプルコードを少し変えてどのくらいの精度で予測ができるのか見てみましょう。\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
"<div>\n", | |
"<style scoped>\n", | |
" .dataframe tbody tr th:only-of-type {\n", | |
" vertical-align: middle;\n", | |
" }\n", | |
"\n", | |
" .dataframe tbody tr th {\n", | |
" vertical-align: top;\n", | |
" }\n", | |
"\n", | |
" .dataframe thead th {\n", | |
" text-align: right;\n", | |
" }\n", | |
"</style>\n", | |
"<table border=\"1\" class=\"dataframe\">\n", | |
" <thead>\n", | |
" <tr style=\"text-align: right;\">\n", | |
" <th></th>\n", | |
" <th>Month</th>\n", | |
" <th>#Passengers</th>\n", | |
" </tr>\n", | |
" </thead>\n", | |
" <tbody>\n", | |
" <tr>\n", | |
" <th>0</th>\n", | |
" <td>1949-01</td>\n", | |
" <td>112</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>1</th>\n", | |
" <td>1949-02</td>\n", | |
" <td>118</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2</th>\n", | |
" <td>1949-03</td>\n", | |
" <td>132</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>3</th>\n", | |
" <td>1949-04</td>\n", | |
" <td>129</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>4</th>\n", | |
" <td>1949-05</td>\n", | |
" <td>121</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>...</th>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>139</th>\n", | |
" <td>1960-08</td>\n", | |
" <td>606</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>140</th>\n", | |
" <td>1960-09</td>\n", | |
" <td>508</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>141</th>\n", | |
" <td>1960-10</td>\n", | |
" <td>461</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>142</th>\n", | |
" <td>1960-11</td>\n", | |
" <td>390</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>143</th>\n", | |
" <td>1960-12</td>\n", | |
" <td>432</td>\n", | |
" </tr>\n", | |
" </tbody>\n", | |
"</table>\n", | |
"<p>144 rows × 2 columns</p>\n", | |
"</div>" | |
], | |
"text/plain": [ | |
" Month #Passengers\n", | |
"0 1949-01 112\n", | |
"1 1949-02 118\n", | |
"2 1949-03 132\n", | |
"3 1949-04 129\n", | |
"4 1949-05 121\n", | |
".. ... ...\n", | |
"139 1960-08 606\n", | |
"140 1960-09 508\n", | |
"141 1960-10 461\n", | |
"142 1960-11 390\n", | |
"143 1960-12 432\n", | |
"\n", | |
"[144 rows x 2 columns]" | |
] | |
}, | |
"execution_count": 2, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"import matplotlib.pyplot as plt\n", | |
"import pandas as pd\n", | |
"\n", | |
"plt.style.use(\"seaborn-v0_8-whitegrid\")\n", | |
"plt.rcParams[\"figure.figsize\"] = [12, 6]\n", | |
"\n", | |
"df = pd.read_csv(\n", | |
" \"https://raw.githubusercontent.com/AileenNielsen/TimeSeriesAnalysisWithPython/master/data/AirPassengers.csv\"\n", | |
")\n", | |
"\n", | |
"df" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<Axes: xlabel='Month'>" | |
] | |
}, | |
"execution_count": 3, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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", | |
"text/plain": [ | |
"<Figure size 1200x600 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# データセットの目視確認\n", | |
"df.set_index(\"Month\").plot()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"こんな感じの季節性とトレンドのある小さなデータセットです。\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Chronos を使って予測\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 800x400 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"import numpy as np\n", | |
"import torch\n", | |
"from chronos import ChronosPipeline\n", | |
"\n", | |
"pipeline = ChronosPipeline.from_pretrained(\n", | |
" \"amazon/chronos-t5-large\",\n", | |
" device_map=\"auto\",\n", | |
")\n", | |
"\n", | |
"prediction_length = 12\n", | |
"train = df[\"#Passengers\"].values[:-prediction_length]\n", | |
"val = df[\"#Passengers\"].values[-prediction_length:]\n", | |
"\n", | |
"# context must be either a 1D tensor, a list of 1D tensors,\n", | |
"# or a left-padded 2D tensor with batch as the first dimension\n", | |
"context = torch.tensor(train)\n", | |
"\n", | |
"forecast = pipeline.predict(\n", | |
" context,\n", | |
" prediction_length,\n", | |
" num_samples=100,\n", | |
") # shape [num_series, num_samples, prediction_length]\n", | |
"\n", | |
"# visualize the forecast\n", | |
"forecast_index = range(len(train), len(train) + prediction_length)\n", | |
"low, median, high = np.quantile(forecast[0].numpy(), [0.1, 0.5, 0.9], axis=0)\n", | |
"\n", | |
"plt.figure(figsize=(8, 4))\n", | |
"plt.plot(train, color=\"royalblue\", label=\"historical data\")\n", | |
"plt.plot(forecast_index, median, color=\"tomato\", label=\"median forecast\")\n", | |
"plt.fill_between(\n", | |
" forecast_index, low, high, color=\"tomato\", alpha=0.3, label=\"80% prediction interval\"\n", | |
")\n", | |
"plt.plot(range(len(train), len(train) + len(val)), val, color=\"green\", label=\"ground truth\")\n", | |
"plt.legend()\n", | |
"plt.title(\"AirPassengers Forecasting with Chronos\")\n", | |
"plt.grid()\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"無事予測ができました。かなり精度が高いように見えます。\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 16, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"torch.Size([1, 100, 12])" | |
] | |
}, | |
"execution_count": 16, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"forecast.shape" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"MAE: 13.75\n", | |
"RMSE: 17.02\n", | |
"MAPE: 3.02%\n" | |
] | |
} | |
], | |
"source": [ | |
"from sklearn.metrics import (\n", | |
" mean_absolute_error,\n", | |
" mean_absolute_percentage_error,\n", | |
" root_mean_squared_error,\n", | |
")\n", | |
"\n", | |
"mae = mean_absolute_error(val, median)\n", | |
"rmse = root_mean_squared_error(val, median)\n", | |
"mape = mean_absolute_percentage_error(val, median)\n", | |
"\n", | |
"print(f\"MAE: {mae:.2f}\")\n", | |
"print(f\"RMSE: {rmse:.2f}\")\n", | |
"print(f\"MAPE: {mape*100:.2f}%\")" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## 終わりに\n", | |
"\n", | |
"Chronos-t5 を使って時系列データの予測を行いました。\n", | |
"時系列モデルのトークナイズと、事前学習済みのモデルを使うことで、時系列データの予測ができることがわかりました。\n", | |
"\n", | |
"今回共有できない独自データセットでも試したのですが、他の時系列モデルと比べても実用性が出る場面がありそうでした。\n", | |
"是非とも実践の場でも活用していきたいです。\n", | |
"\n", | |
"以上、お読みいただきありがとうございます。少しでも参考になればと思います。\n", | |
"\n", | |
"もし似たようなコンテンツに興味があれば、フォローしていただけると嬉しいです:\n", | |
"\n", | |
"- [note](https://note.com/alexweberk/) と\n", | |
"- [Twitter](https://twitter.com/alexweberk)\n", | |
"\n", | |
"https://twitter.com/alexweberk\n", | |
"\n", | |
"今回使った Notebook の Gist: https://gist.github.com/alexweberk/2ed7f5b262bb9acead8f547aa8ce86e6\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "py311", | |
"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": "3.11.8" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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