{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "name": "PROJECT_COVID19.ipynb", "provenance": [], "collapsed_sections": [ "zshiRr4FRMwk", "RE8QrBnWXlCE", "sPxceubjUM_k" ] }, "kernelspec": { "name": "python3", "display_name": "Python 3" } }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "-Tki_ZzoROTC", "colab_type": "text" }, "source": [ "# COVID19 California Data + Facebook Prophet\n", "\n", "\n", "\n" ] }, { "cell_type": "code", "metadata": { "id": "UFgfXnIHN0sg", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 191 }, "outputId": "4da1cae8-d703-4a9e-8df2-acd54f40ea3f" }, "source": [ "import pandas as pd\n", "from fbprophet import Prophet \n", "df = pd.read_csv('https://raw.githubusercontent.com/danielcaraway/data/master/ca_train.csv')\n", "df.head()" ], "execution_count": 1, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "
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IdProvince/StateCountry/RegionLatLongDateConfirmedCasesFatalities
01CaliforniaUS36.1162-119.68162020-01-220.00.0
12CaliforniaUS36.1162-119.68162020-01-230.00.0
23CaliforniaUS36.1162-119.68162020-01-240.00.0
34CaliforniaUS36.1162-119.68162020-01-250.00.0
45CaliforniaUS36.1162-119.68162020-01-260.00.0
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" ], "text/plain": [ " Id Province/State Country/Region ... Date ConfirmedCases Fatalities\n", "0 1 California US ... 2020-01-22 0.0 0.0\n", "1 2 California US ... 2020-01-23 0.0 0.0\n", "2 3 California US ... 2020-01-24 0.0 0.0\n", "3 4 California US ... 2020-01-25 0.0 0.0\n", "4 5 California US ... 2020-01-26 0.0 0.0\n", "\n", "[5 rows x 8 columns]" ] }, "metadata": { "tags": [] }, "execution_count": 1 } ] }, { "cell_type": "markdown", "metadata": { "id": "zshiRr4FRMwk", "colab_type": "text" }, "source": [ "## STEP 1: Split into DS & Y\n", "### STEP 1A: We're starting with `ConfirmedCases` as Y" ] }, { "cell_type": "code", "metadata": { "id": "3IBiND7aOXdT", "colab_type": "code", "colab": {} }, "source": [ "sm = df[['Date', 'ConfirmedCases']]\n", "sm.columns = ['ds','y']" ], "execution_count": 0, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "saV0NwRTOyR4", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 87 }, "outputId": "23bd9807-7840-4fb3-af6a-5f4434cf5624" }, "source": [ "m = Prophet()\n", "m.fit(sm)" ], "execution_count": 7, "outputs": [ { "output_type": "stream", "text": [ "INFO:numexpr.utils:NumExpr defaulting to 2 threads.\n", "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n", "INFO:fbprophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n" ], "name": "stderr" }, { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": { "tags": [] }, "execution_count": 7 } ] }, { "cell_type": "code", "metadata": { "id": "qve1mFnGPQSN", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 191 }, "outputId": "4f4ebd95-2ed6-44e9-b610-65afc41be5b8" }, "source": [ "future = m.make_future_dataframe(periods=365)\n", "future.tail()" ], "execution_count": 16, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "
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ds
4172021-03-14
4182021-03-15
4192021-03-16
4202021-03-17
4212021-03-18
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" ], "text/plain": [ " ds\n", "417 2021-03-14\n", "418 2021-03-15\n", "419 2021-03-16\n", "420 2021-03-17\n", "421 2021-03-18" ] }, "metadata": { "tags": [] }, "execution_count": 16 } ] }, { "cell_type": "code", "metadata": { "id": "jkCriCqFPLNp", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 441 }, "outputId": "3cd72d5d-b241-48f7-8ec7-89559a5f8429" }, "source": [ "forecast = m.predict(future)\n", "fig1 = m.plot(forecast)" ], "execution_count": 17, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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TgOcphpLFBZfr8uVKj+NjwXHQ0HwLgF1PLWrJNt+ugRnWNkf4vfPbCBoae+cC5ILl8v7v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O/On8eFC+qLfpAtMdpaLuSdKEE2WTwz22nC47BhQ0MpRTxjsKjKS5XXwZGRNA3HDVRplb7GQggh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\nfYuPUaP1x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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "OxpOT21gRpqY", "colab_type": "text" }, "source": [ "### * NOTE: Wow that is ridiculously unhelpful. Clearly 365 was too much. Turning it into a function for more rapid testing" ] }, { "cell_type": "markdown", "metadata": { "id": "RE8QrBnWXlCE", "colab_type": "text" }, "source": [ "# OUR FUNCTION" ] }, { "cell_type": "code", "metadata": { "id": "Wjf9xilmQhGE", "colab_type": "code", "colab": {} }, "source": [ "def get_prof_preds_for(df, n):\n", " m = Prophet()\n", " m.fit(df)\n", " future = m.make_future_dataframe(periods=n)\n", " forecast = m.predict(future)\n", " fig1 = m.plot(forecast)" ], "execution_count": 0, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "nHL2atEASE3Z", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 476 }, "outputId": "c025da9b-17fa-41e3-a8ad-14bad1ad2cf4" }, "source": [ "get_prof_preds_for(sm, 60)" ], "execution_count": 19, "outputs": [ { "output_type": "stream", "text": [ "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n", "INFO:fbprophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n" ], "name": "stderr" }, { "output_type": "display_data", "data": { "image/png": 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y5TvXnU7DEPmToFgIIcS8N5TUsGyHSp+b4ZTOkpridZA7VzRr4FLyD4jhVF6x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HTp9YYUFJytzT1fgduKj07IcCYgh1W0wYWYY3nvERERTWVMipMkz2VFVY4Dbx/pxt0xbvncE1Tw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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "nuPPIZWrSHMw", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 476 }, "outputId": "4445a844-f8d7-4abc-e59e-c7da2f8e4997" }, "source": [ "get_prof_preds_for(sm, 30)" ], "execution_count": 20, "outputs": [ { "output_type": "stream", "text": [ "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n", "INFO:fbprophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n" ], "name": "stderr" }, { "output_type": "display_data", "data": { "image/png": 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fkzORf7CznVAyS/l7Lzj7Exleau5mU1OQ5u44M8sC/OXNC4CJ8e7JhAjIIiIy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"text/plain": [ "
" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "shex77NgSLIN", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 476 }, "outputId": "7762c9a6-3902-46bb-fc85-2a7a54fd8e0f" }, "source": [ "get_prof_preds_for(sm, 10)" ], "execution_count": 21, "outputs": [ { "output_type": "stream", "text": [ "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n", "INFO:fbprophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n" ], "name": "stderr" }, { "output_type": "display_data", "data": { "image/png": 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kYvF6+yAP//IAkbTFf7txEZ+4YeFZjzz88PUL+NGr7Xx/VyvfuHPZJFeaOwrI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" ], "text/plain": [ " ds y\n", "0 2020-01-22 0.0\n", "1 2020-01-23 0.0\n", "2 2020-01-24 0.0\n", "3 2020-01-25 0.0\n", "4 2020-01-26 0.0\n", "5 2020-01-27 0.0\n", "6 2020-01-28 0.0\n", "7 2020-01-29 0.0\n", "8 2020-01-30 0.0\n", "9 2020-01-31 0.0\n", "10 2020-02-01 0.0\n", "11 2020-02-02 0.0\n", "12 2020-02-03 0.0\n", "13 2020-02-04 0.0\n", "14 2020-02-05 0.0\n", "15 2020-02-06 0.0\n", "16 2020-02-07 0.0\n", "17 2020-02-08 0.0\n", "18 2020-02-09 0.0\n", "19 2020-02-10 0.0\n", "20 2020-02-11 0.0\n", "21 2020-02-12 0.0\n", "22 2020-02-13 0.0\n", "23 2020-02-14 0.0\n", "24 2020-02-15 0.0\n", "25 2020-02-16 0.0\n", "26 2020-02-17 0.0\n", "27 2020-02-18 0.0\n", "28 2020-02-19 0.0\n", "29 2020-02-20 0.0\n", "30 2020-02-21 0.0\n", "31 2020-02-22 0.0\n", "32 2020-02-23 0.0\n", "33 2020-02-24 0.0\n", "34 2020-02-25 0.0\n", "35 2020-02-26 0.0\n", "36 2020-02-27 0.0\n", "37 2020-02-28 0.0\n", "38 2020-02-29 0.0\n", "39 2020-03-01 0.0\n", "40 2020-03-02 0.0\n", "41 2020-03-03 0.0\n", "42 2020-03-04 0.0\n", "43 2020-03-05 0.0\n", "44 2020-03-06 0.0\n", "45 2020-03-07 0.0\n", "46 2020-03-08 0.0\n", "47 2020-03-09 0.0\n", "48 2020-03-10 144.0\n", "49 2020-03-11 177.0\n", "50 2020-03-12 221.0\n", "51 2020-03-13 282.0\n", "52 2020-03-14 340.0\n", "53 2020-03-15 426.0\n", "54 2020-03-16 557.0\n", "55 2020-03-17 698.0\n", "56 2020-03-18 751.0" ] }, "metadata": { "tags": [] }, "execution_count": 50 } ] }, { "cell_type": "code", "metadata": { "id": "950y8c8KSNIR", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 476 }, "outputId": "87c800d7-1a0d-435c-8c2c-872d9a34c33c" }, "source": [ "get_prof_preds_for(sm[20:],10)" ], "execution_count": 25, "outputs": [ { "output_type": "stream", "text": [ "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n", "INFO:fbprophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n" ], "name": "stderr" }, { "output_type": "display_data", "data": { "image/png": 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0OZT43KxfWkdNHm8SLBYFDchf/vKX+fa3v43LNVXG+Pg4VVVVeDxTT24tLS30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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "FUEcBLv-SXvy", "colab_type": "code", "colab": {} }, "source": [ "def get_prof_preds_for(df, n):\n", " m = Prophet(daily_seasonality=True)\n", " m.fit(df)\n", " future = m.make_future_dataframe(periods=n)\n", " forecast = m.predict(future)\n", " fig1 = m.plot(forecast)\n" ], "execution_count": 0, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "EqbUff5jS7cm", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 458 }, "outputId": "56d860ca-b5d3-4bf6-af0d-f748a78320af" }, "source": [ "get_prof_preds_for(sm[20:],10)" ], "execution_count": 30, "outputs": [ { "output_type": "stream", "text": [ "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n" ], "name": "stderr" }, { "output_type": "display_data", "data": { "image/png": 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2zsnIyEixSzgv6DoXhq5zYeg6/5uuUJzIeAYCbpI5PnYsHDqjz3ebNilsvC4n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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "eiLkPLhWS78K", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 476 }, "outputId": "f8a3b489-e247-4f96-f800-183ce807f752" }, "source": [ "get_prof_preds_for(sm[40:],10)" ], "execution_count": 33, "outputs": [ { "output_type": "stream", "text": [ "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n", "INFO:fbprophet:n_changepoints greater than number of observations. Using 12.\n" ], "name": "stderr" }, { "output_type": "display_data", "data": { "image/png": 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KHm8qa+L1eLhgfp3CsZQVBWQRESkrlu2QyFmMpw0Gp3IkczYeD4R8HqpC/vc8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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "eYxWeIkaTWac", "colab_type": "text" }, "source": [ "#### OK looks like we are getting somewhere" ] }, { "cell_type": "code", "metadata": { "id": "r_7MWtPATJ_D", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 476 }, "outputId": "58bca39c-278e-4edc-a941-4a653f438089" }, "source": [ "get_prof_preds_for(sm[40:],60)" ], "execution_count": 35, "outputs": [ { "output_type": "stream", "text": [ "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n", "INFO:fbprophet:n_changepoints greater than number of observations. Using 12.\n" ], "name": "stderr" }, { "output_type": "display_data", "data": { "image/png": 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6+embrTyyrZHvvnyY6+aWsn5JFUsqI3Sm8mzZ084Tu9vY35HC43LwO7NLuKm+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xsVGi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\n", 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "kR0xPo7pTM_X", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 493 }, "outputId": "48c2cb16-be89-45c2-e69e-9b5b0e1bbb14" }, "source": [ "get_prof_preds_for(sm[47:],30]" ], "execution_count": 39, "outputs": [ { "output_type": "stream", "text": [ "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n", "INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n", "INFO:fbprophet:n_changepoints greater than number of observations. Using 7.\n" ], "name": "stderr" }, { "output_type": "display_data", "data": { "image/png": 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OaYC64ly8GcouRCYKBWQREREBhuqMOwaT7O0eats246S2bW0DSTY928xTB3uZ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"text/plain": [ "
" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "A2OCpF-lT8Y1", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 493 }, "outputId": "a8b08ac6-b13a-45e2-d799-ee300181b0aa" }, "source": [ "get_prof_preds_for(sm[47:],20)" ], "execution_count": 44, "outputs": [ { "output_type": "stream", "text": [ "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n", "INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n", "INFO:fbprophet:n_changepoints greater than number of observations. Using 7.\n" ], "name": "stderr" }, { "output_type": "display_data", "data": { "image/png": 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TKYgmhwGZiIhoDkRTGZwKS4jJKgJOW94C3v89FcL3nruAwWQG17WU4iuTKOBJ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\nE+SiBdCu+TYOaMlYlBk3aAPeUBxeBS5ZRWKUATPSrCjKimc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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "sPxceubjUM_k", "colab_type": "text" }, "source": [ "### STEP 1B: Try with Fatalities " ] }, { "cell_type": "code", "metadata": { "id": "ZaBlEmJ0U-QH", "colab_type": "code", "colab": {} }, "source": [ "sm = df[['Date', 'Fatalities']]\n", "sm.columns = ['ds','y']" ], "execution_count": 0, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "rMtx5AckVBA2", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 458 }, "outputId": "ad9897d3-1c4a-42ce-e0b1-36e24e613712" }, "source": [ "get_prof_preds_for(sm, 20)" ], "execution_count": 46, "outputs": [ { "output_type": "stream", "text": [ "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n" ], "name": "stderr" }, { "output_type": "display_data", "data": { "image/png": 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GhoZil0GT4DWaG3idrI/XKDcSiob/6Aqg0i1DmuSl/lBSRYXLjk1Lyqf1+IW6TgcvjyCp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Run prophet with yearly_seasonality=True to override this.\n", "INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n", "INFO:fbprophet:n_changepoints greater than number of observations. Using 7.\n" ], "name": "stderr" }, { "output_type": "display_data", "data": { "image/png": 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7TjMfPW8e1eXehNZM0SRnWCysjbGgutzVemkRNyggi4iIzHB5w2L/SIbeyQKx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\nzIcpZ5Ku14wqGgKSDKfFhFl+DzKSrUhKYjAmIiIiGkmGpQb5xhtvxI0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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "iKLSZT5aVTpl", "colab_type": "code", "colab": {} }, "source": [ "" ], "execution_count": 0, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "IoXchYXYWmRa", "colab_type": "text" }, "source": [ "# STEP 2: Actually make predictions \n", "(using the mess we made above for fodder)" ] }, { "cell_type": "code", "metadata": { "id": "d4UFs4EOWlQo", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 191 }, "outputId": "6ebb6a04-20a7-4f9e-dd8e-c133d1ad4e6c" }, "source": [ "df.head()" ], "execution_count": 52, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "
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IdProvince/StateCountry/RegionLatLongDateConfirmedCasesFatalities
01CaliforniaUS36.1162-119.68162020-01-220.00.0
12CaliforniaUS36.1162-119.68162020-01-230.00.0
23CaliforniaUS36.1162-119.68162020-01-240.00.0
34CaliforniaUS36.1162-119.68162020-01-250.00.0
45CaliforniaUS36.1162-119.68162020-01-260.00.0
\n", "
" ], "text/plain": [ " Id Province/State Country/Region ... Date ConfirmedCases Fatalities\n", "0 1 California US ... 2020-01-22 0.0 0.0\n", "1 2 California US ... 2020-01-23 0.0 0.0\n", "2 3 California US ... 2020-01-24 0.0 0.0\n", "3 4 California US ... 2020-01-25 0.0 0.0\n", "4 5 California US ... 2020-01-26 0.0 0.0\n", "\n", "[5 rows x 8 columns]" ] }, "metadata": { "tags": [] }, "execution_count": 52 } ] }, { "cell_type": "code", "metadata": { "id": "9ox86y_eW06h", "colab_type": "code", "colab": {} }, "source": [ "cc = df[['Date', 'ConfirmedCases']] # cc = Confirmed Cases\n", "fc = df[['Date', 'Fatalities']] # fc = Fatal Cases" ], "execution_count": 0, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "QgBRf7MHXIX0", "colab_type": "text" }, "source": [ "## Make our function return something useful for a big df" ] }, { "cell_type": "code", "metadata": { "id": "_buqO9XRXS_4", "colab_type": "code", "colab": {} }, "source": [ "def get_prof_preds_for(df, n):\n", " df.columns = ['ds', 'y']\n", " m = Prophet()\n", " m.fit(df)\n", " future = m.make_future_dataframe(periods=n)\n", " forecast = m.predict(future)\n", " fig1 = m.plot(forecast)\n", " return forecast" ], "execution_count": 0, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "de12kKtXXtEu", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 935 }, "outputId": "e2a975b0-224e-4c52-d41a-30bb3c143976" }, "source": [ "pred_cc_1 = get_prof_preds_for(cc, 40)\n", "pred_fc_1 = get_prof_preds_for(fc, 40)" ], "execution_count": 63, "outputs": [ { "output_type": "stream", "text": [ "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n", "INFO:fbprophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n", "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n", "INFO:fbprophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n" ], "name": "stderr" }, { "output_type": "display_data", "data": { "image/png": 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SMSzeIhIRESm6jliGoM+Y8JdywO/DcjwGU4WbJHfSsaE0Ht6Uxz7L4pC3Xb7x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2hEsWjHe1h1DhVnBbHuUKiuzAxmW1aD0dgWHlXkOf0S280h7EM4f70B5Kw+uU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\nD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dstrendyhat_loweryhat_uppertrend_lowertrend_upperadditive_termsadditive_terms_loweradditive_terms_upperweeklyweekly_lowerweekly_uppermultiplicative_termsmultiplicative_terms_lowermultiplicative_terms_upperyhat
922020-04-236.8179853.5996439.2947246.8114246.824937-0.240420-0.240420-0.240420-0.240420-0.240420-0.2404200.00.00.06.577565
932020-04-246.9096113.7888179.2820746.9027326.916997-0.331436-0.331436-0.331436-0.331436-0.331436-0.3314360.00.00.06.578175
942020-04-257.0012374.0435749.5428866.9940567.008930-0.297507-0.297507-0.297507-0.297507-0.297507-0.2975070.00.00.06.703731
952020-04-267.0928634.0482759.5607607.0853997.100832-0.263578-0.263578-0.263578-0.263578-0.263578-0.2635780.00.00.06.829286
962020-04-277.1844894.2845009.7434997.1767347.192775-0.229699-0.229699-0.229699-0.229699-0.229699-0.2296990.00.00.06.954790
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" ], "text/plain": [ " ds trend ... multiplicative_terms_upper yhat\n", "92 2020-04-23 6.817985 ... 0.0 6.577565\n", "93 2020-04-24 6.909611 ... 0.0 6.578175\n", "94 2020-04-25 7.001237 ... 0.0 6.703731\n", "95 2020-04-26 7.092863 ... 0.0 6.829286\n", "96 2020-04-27 7.184489 ... 0.0 6.954790\n", "\n", "[5 rows x 16 columns]" ] }, "metadata": { "tags": [] }, "execution_count": 69 } ] }, { "cell_type": "code", "metadata": { "id": "De3B11kXZtJv", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 987 }, "outputId": "b2d47a0a-6349-4299-acaf-a9b943d6c290" }, "source": [ "pred_cc_2 = get_prof_preds_for(cc[40:], 40)\n", "pred_fc_2 = get_prof_preds_for(fc[40:], 40)" ], "execution_count": 71, "outputs": [ { "output_type": "stream", "text": [ "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n", "INFO:fbprophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n" ], "name": "stderr" }, { "output_type": "stream", "text": [ "ERROR! Session/line number was not unique in database. History logging moved to new session 60\n" ], "name": "stdout" }, { "output_type": "stream", "text": [ "INFO:fbprophet:n_changepoints greater than number of observations. Using 12.\n", "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n", "INFO:fbprophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n", "INFO:fbprophet:n_changepoints greater than number of observations. Using 12.\n" ], "name": "stderr" }, { "output_type": "display_data", "data": { "image/png": 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GKIsEZvV9ZXYoIIuIiEhB2uIZEjln0t3jHd0Jbv35LhaWRbj3urXEwqcWIj0e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\ngjEVmhBItxpRmedEVpoZNtPkt34QERHRzMKATEnV5I/AH5GHXfP4qYN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y4Zjq10uE/JzT7GdzfZS+dIljw3lSRZPIHEsesiWLvGkT8HrYXBeluSo07dpF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\npTu3b8X2La+goXEF6huWDXs+b1jBn3e046kdrSiMdOLqZVOwsnF5zOv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dstrendyhat_loweryhat_uppertrend_lowertrend_upperadditive_termsadditive_terms_loweradditive_terms_upperweeklyweekly_lowerweekly_uppermultiplicative_termsmultiplicative_terms_lowermultiplicative_terms_upperyhat
522020-04-2335.67974633.95797137.61865035.67428435.685096-0.007613-0.007613-0.007613-0.007613-0.007613-0.0076130.00.00.035.672133
532020-04-2436.41981333.65977037.62408036.41415136.425396-0.748173-0.748173-0.748173-0.748173-0.748173-0.7481730.00.00.035.671640
542020-04-2537.15988034.14214037.97909537.15393537.165665-0.988757-0.988757-0.988757-0.988757-0.988757-0.9887570.00.00.036.171123
552020-04-2637.89994634.77151538.64826437.89375637.905971-1.229338-1.229338-1.229338-1.229338-1.229338-1.2293380.00.00.036.670609
562020-04-2738.64001336.72252340.68423038.63359838.646246-0.045826-0.045826-0.045826-0.045826-0.045826-0.0458260.00.00.038.594187
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" ], "text/plain": [ " ds trend ... multiplicative_terms_upper yhat\n", "52 2020-04-23 35.679746 ... 0.0 35.672133\n", "53 2020-04-24 36.419813 ... 0.0 35.671640\n", "54 2020-04-25 37.159880 ... 0.0 36.171123\n", "55 2020-04-26 37.899946 ... 0.0 36.670609\n", "56 2020-04-27 38.640013 ... 0.0 38.594187\n", "\n", "[5 rows x 16 columns]" ] }, "metadata": { "tags": [] }, "execution_count": 75 } ] }, { "cell_type": "code", "metadata": { "id": "UL8gjt_qacST", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "outputId": "f9a2bf1b-f08b-4930-d0bf-64b04be7be89" }, "source": [ "pred_cc_3 = get_prof_preds_for(cc[47:], 40)\n", "pred_fc_3 = get_prof_preds_for(fc[47:], 40)" ], "execution_count": 76, "outputs": [ { "output_type": "stream", "text": [ "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n", "INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n", "INFO:fbprophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n", "INFO:fbprophet:n_changepoints greater than number of observations. Using 7.\n", "INFO:fbprophet:Disabling yearly seasonality. Run prophet with yearly_seasonality=True to override this.\n", "INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n", "INFO:fbprophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n", "INFO:fbprophet:n_changepoints greater than number of observations. Using 7.\n" ], "name": "stderr" }, { "output_type": "display_data", "data": { "image/png": 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afS6Hz1g6yxENxikpKezbt49AIMDHPvYx3nzzzRF7rfXr17N+/XoAFi1aRGlp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78ZB+bIs0k/6GiYiInEe2ZHIwmWO6YM4O56hy0wTAC2MzPLB/eMHFOpi94cJy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\nZcuW8VoChQCHR8aZVhuudrsRo4v0e2LdvLQ4bL7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dstrendyhat_loweryhat_uppertrend_lowertrend_upperadditive_termsadditive_terms_loweradditive_terms_uppermultiplicative_termsmultiplicative_terms_lowermultiplicative_terms_upperyhat
452020-04-233602.0961713548.3377243657.1017773601.7729273602.3966560.00.00.00.00.00.03602.096171
462020-04-243682.1574043627.2807973734.7072133681.8251813682.4708980.00.00.00.00.00.03682.157404
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" ], "text/plain": [ " ds trend ... multiplicative_terms_upper yhat\n", "45 2020-04-23 3602.096171 ... 0.0 3602.096171\n", "46 2020-04-24 3682.157404 ... 0.0 3682.157404\n", "47 2020-04-25 3762.218637 ... 0.0 3762.218637\n", "48 2020-04-26 3842.279871 ... 0.0 3842.279871\n", "49 2020-04-27 3922.341104 ... 0.0 3922.341104\n", "\n", "[5 rows x 13 columns]" ] }, "metadata": { "tags": [] }, "execution_count": 77 } ] }, { "cell_type": "code", "metadata": { "id": "ubu4pSCTa6H-", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 191 }, "outputId": "6a12b437-24fb-49a2-dd2e-1fe3acda95d7" }, "source": [ "pred_fc_3.tail()" ], "execution_count": 78, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "
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dstrendyhat_loweryhat_uppertrend_lowertrend_upperadditive_termsadditive_terms_loweradditive_terms_uppermultiplicative_termsmultiplicative_terms_lowermultiplicative_terms_upperyhat
452020-04-2358.04660056.38603459.68395858.04659658.0466040.00.00.00.00.00.058.046600
462020-04-2459.34165557.76825960.97999859.34165159.3416600.00.00.00.00.00.059.341655
472020-04-2560.63671159.03584962.31688460.63670660.6367160.00.00.00.00.00.060.636711
482020-04-2661.93176660.35486463.54529261.93176261.9317710.00.00.00.00.00.061.931766
492020-04-2763.22682261.61973164.79011863.22681763.2268270.00.00.00.00.00.063.226822
\n", "
" ], "text/plain": [ " ds trend ... multiplicative_terms_upper yhat\n", "45 2020-04-23 58.046600 ... 0.0 58.046600\n", "46 2020-04-24 59.341655 ... 0.0 59.341655\n", "47 2020-04-25 60.636711 ... 0.0 60.636711\n", "48 2020-04-26 61.931766 ... 0.0 61.931766\n", "49 2020-04-27 63.226822 ... 0.0 63.226822\n", "\n", "[5 rows x 13 columns]" ] }, "metadata": { "tags": [] }, "execution_count": 78 } ] }, { "cell_type": "code", "metadata": { "id": "SBmbHtg4a8kx", "colab_type": "code", "colab": {} }, "source": [ "pred_cc_1_sm = pred_cc_1[['ds','yhat']]\n", "pred_cc_2_sm = pred_cc_2[['ds','yhat']]\n", "pred_cc_3_sm = pred_cc_3[['ds','yhat']]" ], "execution_count": 0, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "5fEorK7VbuSb", "colab_type": "code", "colab": {} }, "source": [ "# lol pandas says this way\n", "# pred_cc_1_sm.merge(pred_cc_2_sm, left_on='ds')\n", "# stackoverflow says this way (better)\n", "cc_df = pd.merge(pred_cc_1_sm, pred_cc_2_sm, how='left', on='ds', suffixes=('_v1', '_v2'))\n", "cc_df = pd.merge(cc_df, pred_cc_3_sm, how='left', on='ds')" ], "execution_count": 0, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "tJwceeW4b2iE", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 391 }, "outputId": "afaf9c23-34c2-4397-b5b4-07291e7a850f" }, "source": [ "cc_df.columns = ['ds','yhat_v1', 'yhat_v2', 'yhat_v3']\n", "cc_df" ], "execution_count": 102, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "
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dsyhat_v1yhat_v2yhat_v3
02020-01-22-60.115018NaNNaN
12020-01-23-115.172020NaNNaN
22020-01-24-107.546040NaNNaN
32020-01-25-100.294151NaNNaN
42020-01-26-89.542310NaNNaN
...............
922020-04-23416.7605522253.8425813602.096171
932020-04-24424.4069512284.3275973682.157404
942020-04-25431.6792592313.3120993762.218637
952020-04-26442.4515192356.3015983842.279871
962020-04-27458.8478692493.8738813922.341104
\n", "

97 rows × 4 columns

\n", "
" ], "text/plain": [ " ds yhat_v1 yhat_v2 yhat_v3\n", "0 2020-01-22 -60.115018 NaN NaN\n", "1 2020-01-23 -115.172020 NaN NaN\n", "2 2020-01-24 -107.546040 NaN NaN\n", "3 2020-01-25 -100.294151 NaN NaN\n", "4 2020-01-26 -89.542310 NaN NaN\n", ".. ... ... ... ...\n", "92 2020-04-23 416.760552 2253.842581 3602.096171\n", "93 2020-04-24 424.406951 2284.327597 3682.157404\n", "94 2020-04-25 431.679259 2313.312099 3762.218637\n", "95 2020-04-26 442.451519 2356.301598 3842.279871\n", "96 2020-04-27 458.847869 2493.873881 3922.341104\n", "\n", "[97 rows x 4 columns]" ] }, "metadata": { "tags": [] }, "execution_count": 102 } ] }, { "cell_type": "code", "metadata": { "id": "7MVnu6-ob9kV", "colab_type": "code", "colab": {} }, "source": [ "pred_fc_1_sm = pred_fc_1[['ds','yhat']]\n", "pred_fc_2_sm = pred_fc_2[['ds','yhat']]\n", "pred_fc_3_sm = pred_fc_3[['ds','yhat']]\n", "\n", "fc_df = pd.merge(pred_fc_1_sm, pred_fc_2_sm, how='left', on='ds', suffixes=('_v1', '_v2'))\n", "fc_df = pd.merge(fc_df, pred_fc_3_sm, how='left', on='ds')" ], "execution_count": 0, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "fr_ZU6AadCWa", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 391 }, "outputId": "5afc4e7c-b099-4990-dc1b-b08ef8aac634" }, "source": [ "fc_df.columns = ['ds','yhat_v1', 'yhat_v2', 'yhat_v3']\n", "fc_df" ], "execution_count": 104, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "
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dsyhat_v1yhat_v2yhat_v3
02020-01-22-0.763535NaNNaN
12020-01-23-1.721993NaNNaN
22020-01-24-1.722533NaNNaN
32020-01-25-1.598128NaNNaN
42020-01-26-1.473724NaNNaN
...............
922020-04-236.57756535.67213358.046600
932020-04-246.57817535.67164059.341655
942020-04-256.70373136.17112360.636711
952020-04-266.82928636.67060961.931766
962020-04-276.95479038.59418763.226822
\n", "

97 rows × 4 columns

\n", "
" ], "text/plain": [ " ds yhat_v1 yhat_v2 yhat_v3\n", "0 2020-01-22 -0.763535 NaN NaN\n", "1 2020-01-23 -1.721993 NaN NaN\n", "2 2020-01-24 -1.722533 NaN NaN\n", "3 2020-01-25 -1.598128 NaN NaN\n", "4 2020-01-26 -1.473724 NaN NaN\n", ".. ... ... ... ...\n", "92 2020-04-23 6.577565 35.672133 58.046600\n", "93 2020-04-24 6.578175 35.671640 59.341655\n", "94 2020-04-25 6.703731 36.171123 60.636711\n", "95 2020-04-26 6.829286 36.670609 61.931766\n", "96 2020-04-27 6.954790 38.594187 63.226822\n", "\n", "[97 rows x 4 columns]" ] }, "metadata": { "tags": [] }, "execution_count": 104 } ] }, { "cell_type": "code", "metadata": { "id": "QG_4nMtVe1za", "colab_type": "code", "colab": {} }, "source": [ "" ], "execution_count": 0, "outputs": [] } ] }