{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Time Series Forecasting\n", "\n", "This example shows using [Prophet](https://facebook.github.io/prophet/) and Dask for scalable time series forecasting.\n", "\n", "> Prophet is a procedure for forecasting time series data based on an additive model where non-linear trends are fit with yearly, weekly, and daily seasonality, plus holiday effects.\n", "\n", "As discussed in the [*Forecasting at scale*](https://peerj.com/preprints/3190/), large datasets aren't the only type of scaling challenge teams run into. In this example we'll focus on the third type of scaling challenege indentified in that paper:\n", "\n", "> [I]n most realistic settings, a large number of forecasts will be created, necessitating efficient, automated means of evaluating and comparing them, as well as detecting when they are likely to be performing poorly. When hundreds or even thousands of forecasts are made, it becomes important to let machines do the hard work of model evaluation and comparison while efficiently using human feedback to fix performance problems.\n", "\n", "That sounds like a perfect opportunity for Dask. We'll use Prophet and Dask together to parallize the *diagnostics* stage of research. It does not attempt to parallize the training of the model itself." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2022-05-16T13:53:16.971865Z", "iopub.status.busy": "2022-05-16T13:53:16.971312Z", "iopub.status.idle": "2022-05-16T13:53:18.056484Z", "shell.execute_reply": "2022-05-16T13:53:18.055850Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Importing plotly failed. Interactive plots will not work.\n" ] } ], "source": [ "import pandas as pd\n", "from prophet import Prophet" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll walk through the example from the Prophet quickstart. These values represent the log daily page views for [Peyton Manning's wikipedia page](https://en.wikipedia.org/wiki/Peyton_Manning)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2022-05-16T13:53:18.062645Z", "iopub.status.busy": "2022-05-16T13:53:18.061884Z", "iopub.status.idle": "2022-05-16T13:53:18.256537Z", "shell.execute_reply": "2022-05-16T13:53:18.255835Z" } }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " ds y\n", "0 2007-12-10 9.590761\n", "1 2007-12-11 8.519590\n", "2 2007-12-12 8.183677\n", "3 2007-12-13 8.072467\n", "4 2007-12-14 7.893572" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.read_csv(\n", " 'https://raw.githubusercontent.com/facebook/prophet/master/examples/example_wp_log_peyton_manning.csv',\n", " parse_dates=['ds']\n", ")\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2022-05-16T13:53:18.259784Z", "iopub.status.busy": "2022-05-16T13:53:18.259450Z", "iopub.status.idle": "2022-05-16T13:53:18.465670Z", "shell.execute_reply": "2022-05-16T13:53:18.464925Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df.plot(x='ds', y='y');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fitting the model takes a handful of seconds. Dask isn't involved at all here." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2022-05-16T13:53:18.469932Z", "iopub.status.busy": "2022-05-16T13:53:18.469395Z", "iopub.status.idle": "2022-05-16T13:53:21.015580Z", "shell.execute_reply": "2022-05-16T13:53:21.015010Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/share/miniconda3/envs/dask-examples/lib/python3.9/site-packages/prophet/forecaster.py:896: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n", " components = components.append(new_comp)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 2.4 s, sys: 100 ms, total: 2.5 s\n", "Wall time: 2.54 s\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%%time\n", "m = Prophet(daily_seasonality=False)\n", "m.fit(df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we can make a forecast. Again, Dask isn't involved here." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2022-05-16T13:53:21.018588Z", "iopub.status.busy": "2022-05-16T13:53:21.018242Z", "iopub.status.idle": "2022-05-16T13:53:23.907635Z", "shell.execute_reply": "2022-05-16T13:53:23.907140Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/share/miniconda3/envs/dask-examples/lib/python3.9/site-packages/prophet/forecaster.py:896: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n", " components = components.append(new_comp)\n", "/usr/share/miniconda3/envs/dask-examples/lib/python3.9/site-packages/prophet/forecaster.py:896: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n", " components = components.append(new_comp)\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "future = m.make_future_dataframe(periods=365)\n", "forecast = m.predict(future)\n", "m.plot(forecast);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Parallel Diagnostics\n", "\n", "Prophet includes a `prophet.diagnostics.cross_validation` function method, which uses *simulated historical forecasts* to provide some idea of a model's quality.\n", "\n", "> This is done by selecting cutoff points in the history, and for each of them fitting the model using data only up to that cutoff point. We can then compare the forecasted values to the actual values.\n", "\n", "See https://facebook.github.io/prophet/docs/diagnostics.html for more.\n", "\n", "Internally, `cross_validation` generates a list of cutoff values to try. Prophet fits a model and computes some metrics for each of these. By default each model is fit sequentially, but the models can be trained in parallel using the `parallel=` keyword. On a single machine `parallel=\"processes\"` is a good choice. For large problems where you'd like to distribute the work on a cluster, use `parallel=\"dask\"` after you've connected to the cluster by creating a `Client`." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2022-05-16T13:53:23.912135Z", "iopub.status.busy": "2022-05-16T13:53:23.911570Z", "iopub.status.idle": "2022-05-16T13:53:25.765948Z", "shell.execute_reply": "2022-05-16T13:53:25.765267Z" } }, "outputs": [ { "data": { "text/html": [ "
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LocalCluster

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31f39bbf

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\n", " Dashboard: http://127.0.0.1:8787/status\n", " \n", " Workers: 2\n", "
\n", " Total threads: 2\n", " \n", " Total memory: 6.78 GiB\n", "
Status: runningUsing processes: True
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Scheduler Info

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Scheduler

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Scheduler-90861bdd-afa1-481b-a83e-fd6533607a63

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\n", " Comm: tcp://127.0.0.1:34919\n", " \n", " Workers: 2\n", "
\n", " Dashboard: http://127.0.0.1:8787/status\n", " \n", " Total threads: 2\n", "
\n", " Started: Just now\n", " \n", " Total memory: 6.78 GiB\n", "
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Workers

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Worker: 0

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\n", " Comm: tcp://127.0.0.1:39255\n", " \n", " Total threads: 1\n", "
\n", " Dashboard: http://127.0.0.1:46037/status\n", " \n", " Memory: 3.39 GiB\n", "
\n", " Nanny: tcp://127.0.0.1:37093\n", "
\n", " Local directory: /home/runner/work/dask-examples/dask-examples/applications/dask-worker-space/worker-zvpxzpn3\n", "
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Worker: 1

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\n", " Comm: tcp://127.0.0.1:45275\n", " \n", " Total threads: 1\n", "
\n", " Dashboard: http://127.0.0.1:43917/status\n", " \n", " Memory: 3.39 GiB\n", "
\n", " Nanny: tcp://127.0.0.1:34515\n", "
\n", " Local directory: /home/runner/work/dask-examples/dask-examples/applications/dask-worker-space/worker-a0zardbz\n", "
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" ], "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import dask\n", "from distributed import Client, performance_report\n", "import prophet.diagnostics\n", "\n", "client = Client(threads_per_worker=1)\n", "client" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2022-05-16T13:53:25.769377Z", "iopub.status.busy": "2022-05-16T13:53:25.769012Z", "iopub.status.idle": "2022-05-16T13:53:52.467992Z", "shell.execute_reply": "2022-05-16T13:53:52.467457Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:prophet:Making 11 forecasts with cutoffs between 2010-02-15 00:00:00 and 2015-01-20 00:00:00\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "INFO:prophet:Applying in parallel with \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 776 ms, sys: 106 ms, total: 883 ms\n", "Wall time: 26.7 s\n" ] } ], "source": [ "%%time\n", "df_cv = prophet.diagnostics.cross_validation(\n", " m, initial=\"730 days\", period=\"180 days\", horizon=\"365 days\",\n", " parallel=\"dask\"\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Be sure to watch the Dask Dashboard as that runs. The models are fit in parallel on the cluster. At the start there's bit of overhead from having to move the model and data to the workers but after that the scaling looks quite nice." ] } ], "metadata": { "interpreter": { "hash": "55832a72211c01d8b2b5acbce46042c88e2cb82b85bb66b68c3b6ec1f0badd71" }, "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": "3.9.12" } }, "nbformat": 4, "nbformat_minor": 4 }