{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "name": "Gluon ts.ipynb", "provenance": [], "authorship_tag": "ABX9TyN6j5jOc+K2Dbm6s+2uvl5I", "include_colab_link": true }, "kernelspec": { "name": "python3", "display_name": "Python 3" } }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github", "colab_type": "text" }, "source": [ "\"Open" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "i1E1SeQrK4zc", "outputId": "7187485c-baec-4307-e736-73e5cfe13a78" }, "source": [ "pip install mxnet" ], "execution_count": 2, "outputs": [ { "output_type": "stream", "text": [ "Collecting mxnet\n", "\u001b[?25l Downloading https://files.pythonhosted.org/packages/29/bb/54cbabe428351c06d10903c658878d29ee7026efbe45133fd133598d6eb6/mxnet-1.7.0.post1-py2.py3-none-manylinux2014_x86_64.whl (55.0MB)\n", "\u001b[K |████████████████████████████████| 55.0MB 78kB/s \n", "\u001b[?25hCollecting graphviz<0.9.0,>=0.8.1\n", " Downloading https://files.pythonhosted.org/packages/53/39/4ab213673844e0c004bed8a0781a0721a3f6bb23eb8854ee75c236428892/graphviz-0.8.4-py2.py3-none-any.whl\n", "Requirement already satisfied: numpy<2.0.0,>1.16.0 in /usr/local/lib/python3.6/dist-packages (from mxnet) (1.19.4)\n", "Requirement already satisfied: requests<3,>=2.20.0 in /usr/local/lib/python3.6/dist-packages (from mxnet) (2.23.0)\n", "Requirement already satisfied: chardet<4,>=3.0.2 in /usr/local/lib/python3.6/dist-packages (from requests<3,>=2.20.0->mxnet) (3.0.4)\n", "Requirement already satisfied: certifi>=2017.4.17 in /usr/local/lib/python3.6/dist-packages (from requests<3,>=2.20.0->mxnet) (2020.12.5)\n", "Requirement already satisfied: idna<3,>=2.5 in /usr/local/lib/python3.6/dist-packages (from requests<3,>=2.20.0->mxnet) (2.10)\n", "Requirement already satisfied: urllib3!=1.25.0,!=1.25.1,<1.26,>=1.21.1 in /usr/local/lib/python3.6/dist-packages (from requests<3,>=2.20.0->mxnet) (1.24.3)\n", "Installing collected packages: graphviz, mxnet\n", " Found existing installation: graphviz 0.10.1\n", " Uninstalling graphviz-0.10.1:\n", " Successfully uninstalled graphviz-0.10.1\n", "Successfully installed graphviz-0.8.4 mxnet-1.7.0.post1\n" ], "name": "stdout" } ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "mXgVmIp3K6KZ", "outputId": "75651d4a-5565-4be4-ca78-835b2fd504e0" }, "source": [ "pip install gluonts" ], "execution_count": 3, "outputs": [ { "output_type": "stream", "text": [ "Collecting gluonts\n", "\u001b[?25l Downloading https://files.pythonhosted.org/packages/60/b4/4893bddfebbab963ab6406e2c33a241359463b25549a8a9937f87aa7aba9/gluonts-0.6.4-py3-none-any.whl (569kB)\n", "\u001b[K |████████████████████████████████| 573kB 9.0MB/s \n", "\u001b[?25hRequirement already satisfied: numpy~=1.16 in /usr/local/lib/python3.6/dist-packages (from gluonts) (1.19.4)\n", "Requirement already satisfied: tqdm~=4.23 in /usr/local/lib/python3.6/dist-packages (from gluonts) (4.41.1)\n", "Requirement already satisfied: pandas>=1.0 in /usr/local/lib/python3.6/dist-packages (from gluonts) (1.1.5)\n", "Requirement already satisfied: toolz~=0.10 in /usr/local/lib/python3.6/dist-packages (from gluonts) (0.11.1)\n", "Collecting pydantic<1.7,~=1.1\n", "\u001b[?25l Downloading https://files.pythonhosted.org/packages/aa/5f/855412ad12817ae87f1c77d3af2fc384eaed3adfb8f3994816d75483fa20/pydantic-1.6.1-cp36-cp36m-manylinux2014_x86_64.whl (8.7MB)\n", "\u001b[K |████████████████████████████████| 8.7MB 7.9MB/s \n", "\u001b[?25hRequirement already satisfied: matplotlib~=3.0 in /usr/local/lib/python3.6/dist-packages (from gluonts) (3.2.2)\n", "Collecting ujson~=1.35\n", "\u001b[?25l Downloading https://files.pythonhosted.org/packages/16/c4/79f3409bc710559015464e5f49b9879430d8f87498ecdc335899732e5377/ujson-1.35.tar.gz (192kB)\n", "\u001b[K |████████████████████████████████| 194kB 43.3MB/s \n", "\u001b[?25hRequirement already satisfied: holidays>=0.9 in /usr/local/lib/python3.6/dist-packages (from gluonts) (0.10.4)\n", "Requirement already satisfied: pytz>=2017.2 in /usr/local/lib/python3.6/dist-packages (from pandas>=1.0->gluonts) (2018.9)\n", "Requirement already satisfied: python-dateutil>=2.7.3 in /usr/local/lib/python3.6/dist-packages (from pandas>=1.0->gluonts) (2.8.1)\n", "Requirement already satisfied: dataclasses>=0.6; python_version < \"3.7\" in /usr/local/lib/python3.6/dist-packages (from pydantic<1.7,~=1.1->gluonts) (0.8)\n", "Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.6/dist-packages (from matplotlib~=3.0->gluonts) (0.10.0)\n", "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /usr/local/lib/python3.6/dist-packages (from matplotlib~=3.0->gluonts) (2.4.7)\n", "Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.6/dist-packages (from matplotlib~=3.0->gluonts) (1.3.1)\n", "Requirement already satisfied: convertdate<=2.2.0 in /usr/local/lib/python3.6/dist-packages (from holidays>=0.9->gluonts) (2.2.0)\n", "Requirement already satisfied: korean-lunar-calendar in /usr/local/lib/python3.6/dist-packages (from holidays>=0.9->gluonts) (0.2.1)\n", "Requirement already satisfied: six in /usr/local/lib/python3.6/dist-packages (from holidays>=0.9->gluonts) (1.15.0)\n", "Requirement already satisfied: pymeeus<=1,>=0.3.6 in /usr/local/lib/python3.6/dist-packages (from convertdate<=2.2.0->holidays>=0.9->gluonts) (0.3.7)\n", "Building wheels for collected packages: ujson\n", " Building wheel for ujson (setup.py) ... \u001b[?25l\u001b[?25hdone\n", " Created wheel for ujson: filename=ujson-1.35-cp36-cp36m-linux_x86_64.whl size=68027 sha256=0db5737a929803d39ee8b0d4b9059e014c37d96f12a0a0e920f30edb116d033a\n", " Stored in directory: /root/.cache/pip/wheels/28/77/e4/0311145b9c2e2f01470e744855131f9e34d6919687550f87d1\n", "Successfully built ujson\n", "Installing collected packages: pydantic, ujson, gluonts\n", "Successfully installed gluonts-0.6.4 pydantic-1.6.1 ujson-1.35\n" ], "name": "stdout" } ] }, { "cell_type": "code", "metadata": { "id": "_FttcEBMK38Z" }, "source": [ "# Third-party imports\r\n", "%matplotlib inline\r\n", "import mxnet as mx\r\n", "from mxnet import gluon\r\n", "import numpy as np\r\n", "import pandas as pd\r\n", "import matplotlib.pyplot as plt\r\n", "import json" ], "execution_count": 5, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "Dv3a6XWqK711" }, "source": [ "from gluonts.dataset.repository.datasets import get_dataset, dataset_recipes\r\n", "from gluonts.dataset.util import to_pandas" ], "execution_count": 4, "outputs": [] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "vMYKZyGgK_ND", "outputId": "9743a634-dad9-43ea-9626-05c84680dce4" }, "source": [ "print(f\"Available datasets: {list(dataset_recipes.keys())}\")" ], "execution_count": 6, "outputs": [ { "output_type": "stream", "text": [ "Available datasets: ['constant', 'exchange_rate', 'solar-energy', 'electricity', 'traffic', 'exchange_rate_nips', 'electricity_nips', 'traffic_nips', 'solar_nips', 'wiki-rolling_nips', 'taxi_30min', 'm4_hourly', 'm4_daily', 'm4_weekly', 'm4_monthly', 'm4_quarterly', 'm4_yearly', 'm5']\n" ], "name": "stdout" } ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "lGk7EZdYLEDa", "outputId": "3a48cdf5-5621-4a2a-ce46-f0971509f918" }, "source": [ "dataset = get_dataset(\"m4_hourly\", regenerate=True)" ], "execution_count": 7, "outputs": [ { "output_type": "stream", "text": [ "saving time-series into /root/.mxnet/gluon-ts/datasets/m4_hourly/train/data.json\n", "saving time-series into /root/.mxnet/gluon-ts/datasets/m4_hourly/test/data.json\n" ], "name": "stdout" } ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 300 }, "id": "Vwq_C6nYLHXk", "outputId": "4e2729d9-f887-4137-f08d-79b1e4462106" }, "source": [ "entry = next(iter(dataset.train))\r\n", "train_series = to_pandas(entry)\r\n", "train_series.plot()\r\n", "plt.grid(which=\"both\")\r\n", "plt.legend([\"train series\"], loc=\"upper left\")\r\n", "plt.show()" ], "execution_count": 8, "outputs": [ { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 300 }, "id": "IRRK0GMQLSYm", "outputId": "090bb3e7-43a6-436d-9a67-b224732d5f8f" }, "source": [ "entry = next(iter(dataset.test))\r\n", "test_series = to_pandas(entry)\r\n", "test_series.plot()\r\n", "plt.axvline(train_series.index[-1], color='r') # end of train dataset\r\n", "plt.grid(which=\"both\")\r\n", "plt.legend([\"test series\", \"end of train series\"], loc=\"upper left\")\r\n", "plt.show()" ], "execution_count": 11, "outputs": [ { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "code", "metadata": { "id": "F4MKD1fdLZCq" }, "source": [ "N = 10 # number of time series\r\n", "T = 100 # number of timesteps\r\n", "prediction_length = 24\r\n", "freq = \"1H\"\r\n", "custom_dataset = np.random.normal(size=(N, T))\r\n", "start = pd.Timestamp(\"01-01-2019\", freq=freq) # can be different for each time series" ], "execution_count": 14, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "S2YKKPgULMcL" }, "source": [ "from gluonts.dataset.common import ListDataset" ], "execution_count": 15, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "TPD5eyz9LPIQ" }, "source": [ "# train dataset: cut the last window of length \"prediction_length\", add \"target\" and \"start\" fields\r\n", "train_ds = ListDataset([{'target': x, 'start': start} \r\n", " for x in custom_dataset[:, :-prediction_length]],\r\n", " freq=freq)\r\n", "# test dataset: use the whole dataset, add \"target\" and \"start\" fields\r\n", "test_ds = ListDataset([{'target': x, 'start': start} \r\n", " for x in custom_dataset],\r\n", " freq=freq)" ], "execution_count": 16, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "tMrxxiRWLiRa" }, "source": [ "training an existing model" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "J9ybfTd1LVAI", "outputId": "7cab15b9-0cbb-4b16-940f-155e534a1fe5" }, "source": [ "from gluonts.model.simple_feedforward import SimpleFeedForwardEstimator\r\n", "from gluonts.trainer import Trainer" ], "execution_count": 17, "outputs": [ { "output_type": "stream", "text": [ "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:2: DeprecationWarning: gluonts.trainer is deprecated. Use gluonts.mx.trainer instead.\n", " \n" ], "name": "stderr" } ] }, { "cell_type": "code", "metadata": { "id": "dUAkGfgPLcZp" }, "source": [ "estimator = SimpleFeedForwardEstimator(\r\n", " num_hidden_dimensions=[10],\r\n", " prediction_length=dataset.metadata.prediction_length,\r\n", " context_length=100,\r\n", " freq=dataset.metadata.freq,\r\n", " trainer=Trainer(ctx=\"cpu\", \r\n", " epochs=5, \r\n", " learning_rate=1e-3, \r\n", " num_batches_per_epoch=100\r\n", " )\r\n", ")" ], "execution_count": 18, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "UveefSBcLfkK" }, "source": [ "train" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "tDI4qxTALdxh", "outputId": "7d1edf5c-3e30-498b-a9aa-39bc0f59ac28" }, "source": [ "predictor = estimator.train(dataset.train)" ], "execution_count": 19, "outputs": [ { "output_type": "stream", "text": [ "\r 0%| | 0/100 [00:00" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "code", "metadata": { "id": "3h7ww2JjL7hL" }, "source": [ "" ], "execution_count": null, "outputs": [] } ] }