{ "cells": [ { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "colab_type": "code", "id": "y7QztBIVR1tb", "outputId": "79abe4cc-6662-4059-fbac-7adcee63b5b9" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Collecting tensorflow==2\n", "\u001b[?25l Downloading https://files.pythonhosted.org/packages/46/0f/7bd55361168bb32796b360ad15a25de6966c9c1beb58a8e30c01c8279862/tensorflow-2.0.0-cp36-cp36m-manylinux2010_x86_64.whl (86.3MB)\n", "\u001b[K |████████████████████████████████| 86.3MB 117kB/s \n", "\u001b[?25hRequirement already satisfied: keras-applications>=1.0.8 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2) (1.0.8)\n", "Collecting tensorboard<2.1.0,>=2.0.0\n", "\u001b[?25l Downloading https://files.pythonhosted.org/packages/d3/9e/a48cd34dd7b672ffc227b566f7d16d63c62c58b542d54efa45848c395dd4/tensorboard-2.0.1-py3-none-any.whl (3.8MB)\n", "\u001b[K 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satisfied: oauthlib>=3.0.0 in /usr/local/lib/python3.6/dist-packages (from requests-oauthlib>=0.7.0->google-auth-oauthlib<0.5,>=0.4.1->tensorboard<2.1.0,>=2.0.0->tensorflow==2) (3.1.0)\n", "Requirement already satisfied: requests>=2.0.0 in /usr/local/lib/python3.6/dist-packages (from requests-oauthlib>=0.7.0->google-auth-oauthlib<0.5,>=0.4.1->tensorboard<2.1.0,>=2.0.0->tensorflow==2) (2.21.0)\n", "Requirement already satisfied: urllib3<1.25,>=1.21.1 in /usr/local/lib/python3.6/dist-packages (from requests>=2.0.0->requests-oauthlib>=0.7.0->google-auth-oauthlib<0.5,>=0.4.1->tensorboard<2.1.0,>=2.0.0->tensorflow==2) (1.24.3)\n", "Requirement already satisfied: chardet<3.1.0,>=3.0.2 in /usr/local/lib/python3.6/dist-packages (from requests>=2.0.0->requests-oauthlib>=0.7.0->google-auth-oauthlib<0.5,>=0.4.1->tensorboard<2.1.0,>=2.0.0->tensorflow==2) (3.0.4)\n", "Requirement already satisfied: idna<2.9,>=2.5 in /usr/local/lib/python3.6/dist-packages (from requests>=2.0.0->requests-oauthlib>=0.7.0->google-auth-oauthlib<0.5,>=0.4.1->tensorboard<2.1.0,>=2.0.0->tensorflow==2) (2.8)\n", "Requirement already satisfied: certifi>=2017.4.17 in /usr/local/lib/python3.6/dist-packages (from requests>=2.0.0->requests-oauthlib>=0.7.0->google-auth-oauthlib<0.5,>=0.4.1->tensorboard<2.1.0,>=2.0.0->tensorflow==2) (2019.9.11)\n", "\u001b[31mERROR: tensorboard 2.0.1 has requirement grpcio>=1.24.3, but you'll have grpcio 1.15.0 which is incompatible.\u001b[0m\n", "\u001b[31mERROR: google-colab 1.0.0 has requirement google-auth~=1.4.0, but you'll have google-auth 1.6.3 which is incompatible.\u001b[0m\n", "Installing collected packages: google-auth, tensorboard, tensorflow-estimator, tensorflow\n", " Found existing installation: google-auth 1.4.2\n", " Uninstalling google-auth-1.4.2:\n", " Successfully uninstalled google-auth-1.4.2\n", " Found existing installation: tensorboard 1.15.0\n", " Uninstalling tensorboard-1.15.0:\n", " Successfully uninstalled tensorboard-1.15.0\n", " Found existing installation: tensorflow-estimator 1.15.1\n", " Uninstalling tensorflow-estimator-1.15.1:\n", " Successfully uninstalled tensorflow-estimator-1.15.1\n", " Found existing installation: tensorflow 1.15.0\n", " Uninstalling tensorflow-1.15.0:\n", " Successfully uninstalled tensorflow-1.15.0\n", "Successfully installed google-auth-1.6.3 tensorboard-2.0.1 tensorflow-2.0.0 tensorflow-estimator-2.0.1\n" ] }, { "data": { "application/vnd.colab-display-data+json": { "pip_warning": { "packages": [ "google", "tensorboard", "tensorflow", "tensorflow_core", "tensorflow_estimator" ] } } }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "!pip install tensorflow==2" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 35 }, "colab_type": "code", "id": "t9HrvPfrSlzS", "outputId": "06bc0ad7-c293-45e3-ec3b-1b2cd6d6be1f" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2.0.0\n" ] } ], "source": [ "import tensorflow as tf\n", "print(tf.__version__)\n" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "I9x4GjlEVTQN" }, "source": [ "The next code block will set up the time series with seasonality, trend and a bit of noise. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 388 }, "colab_type": "code", "id": "gqWabzlJ63nL", "outputId": "a90ac0ff-2f31-494b-c978-2513beeb0ab8" }, "outputs": [ { "data": { "image/png": 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59z2cC7LSsPWhqb5YGi0YY3j04qGawkziaF1sLCNGkF4s6CoO5KznFyA/04Hf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\nUItSs6sq3fVVmWA2v5SZY8yGcYwZkW94OStTADwOYKdS6mHbrnUAVpm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"text/plain": [ "
" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import tensorflow as tf\n", "from tensorflow import keras\n", "\n", "def plot_series(time, series, format=\"-\", start=0, end=None):\n", " plt.plot(time[start:end], series[start:end], format)\n", " plt.xlabel(\"Time\")\n", " plt.ylabel(\"Value\")\n", " plt.grid(True)\n", "\n", "def trend(time, slope=0):\n", " return slope * time\n", "\n", "def seasonal_pattern(season_time):\n", " \"\"\"Just an arbitrary pattern, you can change it if you wish\"\"\"\n", " return np.where(season_time < 0.4,\n", " np.cos(season_time * 2 * np.pi),\n", " 1 / np.exp(3 * season_time))\n", "\n", "def seasonality(time, period, amplitude=1, phase=0):\n", " \"\"\"Repeats the same pattern at each period\"\"\"\n", " season_time = ((time + phase) % period) / period\n", " return amplitude * seasonal_pattern(season_time)\n", "\n", "def noise(time, noise_level=1, seed=None):\n", " rnd = np.random.RandomState(seed)\n", " return rnd.randn(len(time)) * noise_level\n", "\n", "time = np.arange(4 * 365 + 1, dtype=\"float32\")\n", "baseline = 10\n", "series = trend(time, 0.1) \n", "baseline = 10\n", "amplitude = 40\n", "slope = 0.05\n", "noise_level = 5\n", "\n", "# Create the series\n", "series = baseline + trend(time, slope) + seasonality(time, period=365, amplitude=amplitude)\n", "# Update with noise\n", "series += noise(time, noise_level, seed=42)\n", "\n", "plt.figure(figsize=(10, 6))\n", "plot_series(time, series)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "UfdyqJJ1VZVu" }, "source": [ "Now that we have the time series, let's split it so we can start forecasting" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 759 }, "colab_type": "code", "id": "_w0eKap5uFNP", "outputId": "22fb7db8-6e59-49b9-a98d-f9d29d5a93d0" }, "outputs": [ { "data": { "image/png": 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C22P1RKI68TTMJsA/EyIKt7WMDWhXJmNsMGPsJcbYVsbYFsbYbMZYBWPsXcbY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2F4B3fzMkasbB2100mn/ZkvQ6/xfMcGggLmTJpwTMVCxR5FCuhgUZ/59fbVIO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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "split_time = 1000\n", "time_train = time[:split_time]\n", "x_train = series[:split_time]\n", "time_valid = time[split_time:]\n", "x_valid = series[split_time:]\n", "plt.figure(figsize=(10, 6))\n", "plot_series(time_train, x_train)\n", "plt.show()\n", "\n", "plt.figure(figsize=(10, 6))\n", "plot_series(time_valid, x_valid)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "bjD8ncEZbjEW" }, "source": [ "# Naive Forecast" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "Pj_-uCeYxcAb" }, "outputs": [], "source": [ "naive_forecast = series[split_time - 1:-1]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 388 }, "colab_type": "code", "id": "JtxwHj9Ig0jT", "outputId": "d877152b-343a-4be0-f469-2700b3fbe260" }, "outputs": [ { "data": { "image/png": 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nv1fMevkdYm043vUZC6ZgOi9/FnNoceBRT8VNNZgZypDlJcuBQ6a9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\ncmAiIhmNvRCRNcUY8w5g0lr7e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"text/plain": [ "
" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "plot_series(time_valid, x_valid)\n", "plot_series(time_valid, naive_forecast)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "fw1SP5WeuixH" }, "source": [ "Let's zoom in on the start of the validation period:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 388 }, "colab_type": "code", "id": "D0MKg7FNug9V", "outputId": "8fa02503-731c-424e-954c-8e50f8054184" }, "outputs": [ { "data": { "image/png": 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M57WASSkfhyTzvhE06SGCVpmOF5BN9pUsl4iblLWcQ9bpOWRGkE0MF9m80WSu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\n1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A5dsSDD01nm8iU8Trv62L5Fo2MOsZCPQtkUEgciCSPGoJpqdAxtz9Zp+fyJGfqSITpj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\nQosRQSYIgiAIgtBiRJAJgiAIgiC0mP8f6FeS8CaGdAEAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "plot_series(time_valid, x_valid, start=0, end=150)\n", "plot_series(time_valid, naive_forecast, start=1, end=151)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "35gIlQLfu0TT" }, "source": [ "You can see that the naive forecast lags 1 step behind the time series." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "Uh_7244Gsxfx" }, "source": [ "Now let's compute the mean squared error and the mean absolute error between the forecasts and the predictions in the validation period:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 52 }, "colab_type": "code", "id": "byNnC7IbsnMZ", "outputId": "831f5e57-8841-411b-859c-7b65697eb449" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "61.827538\n", "5.937908\n" ] } ], "source": [ "print(keras.metrics.mean_squared_error(x_valid, naive_forecast).numpy())\n", "print(keras.metrics.mean_absolute_error(x_valid, naive_forecast).numpy())" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "WGPBC9QttI1u" }, "source": [ "That's our baseline, now let's try a moving average:" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "YGz5UsUdf2tV" }, "outputs": [], "source": [ "def moving_average_forecast(series, window_size):\n", " \"\"\"Forecasts the mean of the last few values.\n", " If window_size=1, then this is equivalent to naive forecast\"\"\"\n", " forecast = []\n", " for time in range(len(series) - window_size):\n", " forecast.append(series[time:time + window_size].mean())\n", " return np.array(forecast)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 388 }, "colab_type": "code", "id": "HHFhGXQji7_r", "outputId": "10f26edc-a007-43bd-a81c-03e258bb757a" }, "outputs": [ { "data": { "image/png": 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bn/MGkA4Vw/aQSclSEMaPXaUZ00vqH89Zz0A7DLRNiCBTDpkKtD2xtYEls+sD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\nDA3Ien0ZMq9/2d3N7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rPWXmytXWuM+W/gJZzlsI9ZazPuz7kR54MlDPzQWrt24s+mtpSZ\nuy/gXEl5n1vT8pi19gbN3eRRZt4uNcYcA2RxPitvcA/XZ+UkUWrerLW3ljlc8zZJqFO/iIiISMC0\nZCkiIiISMAVkIiIiIgFTQCYiIiISMAVkIiIiIgFTQCYiIiISsJpseyEitcUYMx34vXt3FpABdrn3\n+621ZwUyMBERl9peiEhNMcb8b6DPWvutoMciIuLRkqWI1DRjTJ/7vdMY8wdjzJ3GmI3GmK8bY642\nxjxhjHnRGHOUe9wMY8zPjDFPul9nB3sGIjIVKCATEclbgdN5/jjg/cAya+0ZwA+Aj7vH3Ax821p7\nOs4+jj8IYqAiMrWohkxEJO9Jdx8/jDGvAfe6j78IrHZvXwAsd7d7Amg2xjRaa/smdKQiMqUoIBMR\nyRv03c767mfJf16GgFXW2oGJHJiITG1ashQRGZl7yS9fYow5OcCxiMgUoYBMRGRkPgGsNMa8YIx5\nCafmTERkTNT2QkRERCRgypCJiIiIBEwBmYiIiEjAFJCJiIiIBEwBmYiIiEjAFJCJiIiIBEwBmYiI\niEjAFJCJiIiIBEwBmYiIiEjA/j8Lryo5Z3iALQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "moving_avg = moving_average_forecast(series, 30)[split_time - 30:]\n", "\n", "plt.figure(figsize=(10, 6))\n", "plot_series(time_valid, x_valid)\n", "plot_series(time_valid, moving_avg)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 52 }, "colab_type": "code", "id": "wG7pTAd7z0e8", "outputId": "20a1affb-cdc9-4bdd-ac45-421dd6c040c5" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "106.674576\n", "7.142419\n" ] } ], "source": [ "print(keras.metrics.mean_squared_error(x_valid, moving_avg).numpy())\n", "print(keras.metrics.mean_absolute_error(x_valid, moving_avg).numpy())" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "JMYPnJqwz8nS" }, "source": [ "That's worse than naive forecast! The moving average does not anticipate trend or seasonality, so let's try to remove them by using differencing. Since the seasonality period is 365 days, we will subtract the value at time *t* – 365 from the value at time *t*." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 388 }, "colab_type": "code", "id": "5pqySF7-rJR4", "outputId": "da919201-7505-4800-fc6d-b0bdd23206b7" }, "outputs": [ { "data": { "image/png": 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An593/eV+5bEtAaaBH+CE+DE2k6gy/cXVPKNs6BK3kAkFlcF5msk5npsoys9b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\n/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A+e9nKrjZ79+jXT8fnXLweQ/y4DeWD7iAvCbb2S82ttKuPIuRM0WuE8TVO5ZVWTfOPl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\nafv0NgA3cM6f45w/D0/IiH0EC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"text/plain": [ "
" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "diff_series = (series[365:] - series[:-365])\n", "diff_time = time[365:]\n", "\n", "plt.figure(figsize=(10, 6))\n", "plot_series(diff_time, diff_series)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "xPlPlS7DskWg" }, "source": [ "Great, the trend and seasonality seem to be gone, so now we can use the moving average:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 388 }, "colab_type": "code", "id": "QmZpz7arsjbb", "outputId": "03577d31-01d7-47e4-c469-66743cd846f9" }, "outputs": [ { "data": { "image/png": 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gvIp+NZHhxfoR38AT49XEcLcGv9RqvDgRRjVSR3OfZR81GT9Nd35k3y+uZTgy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\nX/vFF2FbytPIc/NT2ARg3CQHUTwPrRY07Sl0ebzcx2pl25LBYnC8AsE8X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AAAHHVJREFU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\nRK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "diff_moving_avg = moving_average_forecast(diff_series, 50)[split_time - 365 - 50:]\n", "\n", "plt.figure(figsize=(10, 6))\n", "plot_series(time_valid, diff_series[split_time - 365:])\n", "plot_series(time_valid, diff_moving_avg)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "Gno9S2lyecnc" }, "source": [ "Now let's bring back the trend and seasonality by adding the past values from t – 365:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 388 }, "colab_type": "code", "id": "Dv6RWFq7TFGB", "outputId": "23eab3c7-555c-4b2a-f97d-be8d84ca95f6" }, "outputs": [ { "data": { "image/png": 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Aj07VuWbXMJdMVImyIctcASavJCDPjs5+ina7TscIuFggAhB0iLxWkheg4qGXRJAJgiBs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\nmzPHa1yZYzFYyqcPF16Tq+/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1gsxxF+h0XG4rvYkfd/Yw2/QoENDQ5twp4TNjHbJdI2ba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\ntkNlvWgq+9RSNMa4rgLIYFghxKK1K0P2x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"text/plain": [ "
" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "diff_moving_avg_plus_past = series[split_time - 365:-365] + diff_moving_avg\n", "\n", "plt.figure(figsize=(10, 6))\n", "plot_series(time_valid, x_valid)\n", "plot_series(time_valid, diff_moving_avg_plus_past)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 52 }, "colab_type": "code", "id": "59jmBrwcTFCx", "outputId": "0237f148-af98-43b3-96b0-122f471f3bf1" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "52.97366\n", "5.839311\n" ] } ], "source": [ "\n", "print(keras.metrics.mean_squared_error(x_valid, diff_moving_avg_plus_past).numpy())\n", "print(keras.metrics.mean_absolute_error(x_valid, diff_moving_avg_plus_past).numpy())" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "vx9Et1Hkeusl" }, "source": [ "Better than naive forecast, good. However the forecasts look a bit too random, because we're just adding past values, which were noisy. Let's use a moving averaging on past values to remove some of the noise:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 388 }, "colab_type": "code", "id": "K81dtROoTE_r", "outputId": "7d6561e8-27a7-454e-d20a-91a2af0e55f8" }, "outputs": [ { "data": { "image/png": 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NCDJhXGNaNpqicOKcRuYlCzRNmQmUQ5VjoXKmGl4OmRfmrE9ESEZV4hGNPUzm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\nYlN/op0wTlM4JiLVU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"text/plain": [ "
" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "diff_moving_avg_plus_smooth_past = moving_average_forecast(series[split_time - 370:-360], 10) + diff_moving_avg\n", "\n", "plt.figure(figsize=(10, 6))\n", "plot_series(time_valid, x_valid)\n", "plot_series(time_valid, diff_moving_avg_plus_smooth_past)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 52 }, "colab_type": "code", "id": "iN2MsBxWTE3m", "outputId": "1049da47-521b-436b-fa24-ee42c5a402fb" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "33.45226\n", "4.569442\n" ] } ], "source": [ "print(keras.metrics.mean_squared_error(x_valid, diff_moving_avg_plus_smooth_past).numpy())\n", "print(keras.metrics.mean_absolute_error(x_valid, diff_moving_avg_plus_smooth_past).numpy())" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "-rIWI0_tZ_xq" }, "outputs": [], "source": [] } ], "metadata": { "accelerator": "GPU", "colab": { "collapsed_sections": [], "name": "c4w1e2_statistical_forecasting.ipynb", "provenance": [] }, "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 1 }