{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Quickstart\n", "In this notebook, we go over the main functionalities of the library:\n", "\n", "* [Installing Darts](#Installing-Darts)\n", "* [Building and manipulating TimeSeries](#Building-and-manipulating-TimeSeries)\n", "* [Training forecasting models and making predictions](#Training-forecasting-models-and-making-predictions)\n", "* [Backtesting](#Backtesting:-simulate-historical-forecasting)\n", "* [Machine learning and global models](#Machine-learning-and-global-models)\n", "* [Covariates: using external data](#Covariates:-using-external-data)\n", "* [Regression forecasting models](#Regression-forecasting-models)\n", "* [Sample weights for training](#Sample-Weights)\n", "* [Forecast Start Shifting](#Forecast-Start-Shifting)\n", "* [Probabilistic forecasts](#Probabilistic-forecasts)\n", "* [Ensembling models](#Ensembling-models)\n", "* [Filtering models](#Filtering-models)\n", "* [Anomaly Detection](#Anomaly-Detection)\n", "\n", "We will only show some minimal \"get started\" examples here. For more in depth information, you can refer to our [user guide](https://unit8co.github.io/darts/userguide.html) and [example notebooks](https://unit8co.github.io/darts/examples.html)." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Installing Darts\n", "We recommend using some virtual environment. Then there are mainly two ways.\n", "\n", "With pip:\n", "```\n", "pip install darts\n", "```\n", "\n", "With conda\n", "```\n", "conda install -c conda-forge -c pytorch u8darts-all\n", "```\n", "\n", "Consult the [detailed install guide](https://github.com/unit8co/darts/blob/master/INSTALL.md) if you run into issues or want to install a different flavour (avoiding certain dependencies)." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "First, let's import a few things:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "scrolled": true, "tags": [] }, "outputs": [], "source": [ "# fix python path if working locally\n", "from utils import fix_pythonpath_if_working_locally\n", "\n", "fix_pythonpath_if_working_locally()\n", "\n", "import warnings\n", "\n", "warnings.filterwarnings(\"ignore\", category=FutureWarning)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Building and manipulating `TimeSeries`\n", "`TimeSeries` is the main data class in Darts. A `TimeSeries` represents a univariate or multivariate time series, with a proper time index. The time index can either be of type `pandas.DatetimeIndex` (containing datetimes), or of type `pandas.RangeIndex` (containing integers useful for representing sequential data without specific timestamps). In some cases, `TimeSeries` can even represent *probabilistic* series, in order for instance to obtain confidence intervals. All models in Darts consume `TimeSeries` and produce `TimeSeries`.\n", "\n", "## Read data and build a `TimeSeries`\n", "`TimeSeries` can be built easily using a few factory methods:\n", "\n", "* From a `DataFrame`, using `TimeSeries.from_dataframe()` ([docs](https://unit8co.github.io/darts/generated_api/darts.timeseries.html#darts.timeseries.TimeSeries.from_dataframe)). We support multiple frame backends such as `pandas.DataFrame`, `polars.DataFrame`, `pyarrow.table` and more (see ***(a)***).\n", "* From a time index and an array of corresponding values, using `TimeSeries.from_times_and_values()` ([docs](https://unit8co.github.io/darts/generated_api/darts.timeseries.html#darts.timeseries.TimeSeries.from_times_and_values)).\n", "* From a NumPy array of values, using `TimeSeries.from_values()` ([docs](https://unit8co.github.io/darts/generated_api/darts.timeseries.html#darts.timeseries.TimeSeries.from_values)).\n", "* From a `Series`, using `TimeSeries.from_series()` ([docs](https://unit8co.github.io/darts/generated_api/darts.timeseries.html#darts.timeseries.TimeSeries.from_series)). Also here we support multiple series backends such as `pandas.Series`, `polars.Series`, and more (see ***(a)***).\n", "* Extract multiple `TimeSeries` by groups from a Pandas `DataFrame`, using `TimeSeries.from_group_dataframe()` ([docs](https://unit8co.github.io/darts/generated_api/darts.timeseries.html#darts.timeseries.TimeSeries.from_group_dataframe)).\n", "* From an `xarray.DataArray`, using `TimeSeries.from_xarray()` ([docs](https://unit8co.github.io/darts/generated_api/darts.timeseries.html#darts.timeseries.TimeSeries.from_xarray)).\n", "* From a CSV file, using `TimeSeries.from_csv()` ([docs](https://unit8co.github.io/darts/generated_api/darts.timeseries.html#darts.timeseries.TimeSeries.from_csv)).\n", "* From a JSON file, using `TimeSeries.from_json()` ([docs](https://unit8co.github.io/darts/generated_api/darts.timeseries.html#darts.timeseries.TimeSeries.from_json)).\n", "* Or use one of our built-in `TimeSeries` generation functions ([docs](https://unit8co.github.io/darts/generated_api/darts.utils.timeseries_generation.html)).\n", "\n", "***(a)** We leverage narwhals as the compatibility layer between DataFrame and Series libraries. See the [narwhals documentation](https://narwhals-dev.github.io/narwhals/) for all supported backends.*\n", "\n", "Let's create a multivariate (two-column) `TimeSeries` from a `DataFrame`. The frame contains a sine and cosine series, and has a time index of daily frequency." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from darts import TimeSeries\n", "from darts.utils.utils import generate_index\n", "\n", "# generate a sine and cosine wave\n", "x = np.linspace(0, 2 * np.pi, 100)\n", "sine_vals = np.sin(x)\n", "cosine_vals = np.cos(x)\n", "\n", "# generate a DatetimeIndex with daily frequency\n", "dates = generate_index(\"2020-01-01\", length=len(x), freq=\"D\")\n", "\n", "# create a DataFrame; here we use pandas but you can use any other backend (e.g. polars, pyarrow, ...).\n", "df = pd.DataFrame({\"sine\": sine_vals, \"cosine\": cosine_vals, \"time\": dates})\n", "\n", "series = TimeSeries.from_dataframe(df, time_col=\"time\")\n", "series.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load one of our existing datasets\n", "\n", "Alternatively, you can load one of our existing datasets ([docs](https://unit8co.github.io/darts/generated_api/darts.datasets.html)).\n", "\n", "Below, we get a `TimeSeries` by directly loading the air passengers series dataset." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from darts.datasets import AirPassengersDataset\n", "\n", "series = AirPassengersDataset().load()\n", "series.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Export a `TimeSeries`\n", "\n", "`TimeSeries` can be exported in many different ways:\n", "\n", "* To a `DataFrame`, using `TimeSeries.to_dataframe()` ([docs](https://unit8co.github.io/darts/generated_api/darts.timeseries.html#darts.timeseries.TimeSeries.to_dataframe)). We support multiple frame backends such as `pandas`, `polars`, `pyarrow` and more (see ***(a)*** from above).\n", "* To a NumPy array of values, using `TimeSeries.values()` ([docs](https://unit8co.github.io/darts/generated_api/darts.timeseries.html#darts.timeseries.TimeSeries.values)) or `TimeSeries.all_values()` ([docs](https://unit8co.github.io/darts/generated_api/darts.timeseries.html#darts.timeseries.TimeSeries.all_values)).\n", "* To a `Series`, using `TimeSeries.to_series()` ([docs](https://unit8co.github.io/darts/generated_api/darts.timeseries.html#darts.timeseries.TimeSeries.to_series)). Also here we support multiple series backends (see ***(a)*** from above).\n", "* To a `xarray.DataArray`, using `TimeSeries.data_array()` ([docs](https://unit8co.github.io/darts/generated_api/darts.timeseries.html#darts.timeseries.TimeSeries.data_array)).\n", "* To a CSV file, using `TimeSeries.to_csv()` ([docs](https://unit8co.github.io/darts/generated_api/darts.timeseries.html#darts.timeseries.TimeSeries.to_csv)).\n", "* To a JSON file, using `TimeSeries.to_json()` ([docs](https://unit8co.github.io/darts/generated_api/darts.timeseries.html#darts.timeseries.TimeSeries.to_json)).\n", "* And more!\n", "\n", "Here an example of how to export to a `polars.DataFrame`. Polars is an optional dependency, so make sure to install it first (see the installation guide [here](https://docs.pola.rs/user-guide/installation/))" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "shape: (5, 2)
Month#Passengers
datetime[ns]f64
1960-08-01 00:00:00606.0
1960-09-01 00:00:00508.0
1960-10-01 00:00:00461.0
1960-11-01 00:00:00390.0
1960-12-01 00:00:00432.0
" ], "text/plain": [ "shape: (5, 2)\n", "┌─────────────────────┬─────────────┐\n", "│ Month ┆ #Passengers │\n", "│ --- ┆ --- │\n", "│ datetime[ns] ┆ f64 │\n", "╞═════════════════════╪═════════════╡\n", "│ 1960-08-01 00:00:00 ┆ 606.0 │\n", "│ 1960-09-01 00:00:00 ┆ 508.0 │\n", "│ 1960-10-01 00:00:00 ┆ 461.0 │\n", "│ 1960-11-01 00:00:00 ┆ 390.0 │\n", "│ 1960-12-01 00:00:00 ┆ 432.0 │\n", "└─────────────────────┴─────────────┘" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "series[-5:].to_dataframe(backend=\"polars\", time_as_index=False)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Some `TimeSeries` Operations\n", "`TimeSeries` support different kinds of operations - here are a few examples.\n", "\n", "**Splitting**\n", "\n", "We can also split at a fraction of the series, at a pandas `Timestamp` or at an integer index value." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "series1, series2 = series.split_after(0.75)\n", "series1.plot()\n", "series2.plot();" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "**Slicing:**" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "series1, series2 = series[:-36], series[-36:]\n", "series1.plot()\n", "series2.plot();" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "**Arithmetic operations:**" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "series_noise = TimeSeries.from_times_and_values(\n", " series.time_index, np.random.randn(len(series))\n", ")\n", "(series / 2 + 20 * series_noise - 10).plot();" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "**Stacking**\n", "\n", "Concatenating a new dimension to produce a new single multivariate series." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "(series / 50).stack(series_noise).plot();" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "**Mapping:**" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "series.map(np.log).plot();" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "**Mapping on both timestamps and values:**" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "series.map(lambda ts, x: x / ts.days_in_month.values.reshape(-1, 1, 1)).plot();" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "**Adding some datetime attribute as an extra dimension (yielding a multivariate series):**" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "(series / 20).add_datetime_attribute(\"month\").plot();" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "**Adding some binary holidays component:**" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "(series / 200).add_holidays(\"US\").plot();" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "**Differencing:**" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "series.diff().plot();" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "**Filling missing values (using a `utils` function).**\n", "\n", "Missing values are represented by `np.nan`." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from darts.utils.missing_values import fill_missing_values\n", "\n", "values = np.arange(50, step=0.5)\n", "values[10:30] = np.nan\n", "values[60:95] = np.nan\n", "series_ = TimeSeries.from_values(values)\n", "\n", "(series_ - 10).plot(label=\"with missing values (shifted below)\")\n", "fill_missing_values(series_).plot(label=\"without missing values\");" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Creating a training and validation series\n", "For what follows, we will split our `TimeSeries` into a training and a validation series. Note: in general, it is also a good practice to keep a test series aside and never touch it until the end of the process. Here, we just build a training and a validation series for simplicity.\n", "\n", "The training series will be a `TimeSeries` containing values until January 1958 (excluded), and the validation series a `TimeSeries` containing the rest:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "train, val = series.split_before(pd.Timestamp(\"19580101\"))\n", "train.plot(label=\"training\")\n", "val.plot(label=\"validation\");" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Training forecasting models and making predictions\n", "## Playing with toy models\n", "\n", "There is a collection of \"naive\" baseline models in Darts, which can be very useful to get an idea of the bare minimum accuracy that one could expect. For example, the `NaiveSeasonal(K)` model always \"repeats\" the value that occured `K` time steps ago. \n", "\n", "In its most naive form, when `K=1`, this model simply always repeats the last value of the training series:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from darts.models import NaiveSeasonal\n", "\n", "naive_model = NaiveSeasonal(K=1)\n", "naive_model.fit(train)\n", "naive_forecast = naive_model.predict(36)\n", "\n", "series.plot(label=\"actual\")\n", "naive_forecast.plot(label=\"naive forecast (K=1)\");" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "It's very easy to fit models and produce predictions on `TimeSeries`. All the models have a `fit()` and a `predict()` function. This is similar to [Scikit-learn](https://scikit-learn.org/), except that it is specific to time series. The `fit()` function takes as argument the training time series on which to fit the model, and the `predict()` function takes as argument the number of time steps (after the end of the training series) over which to forecast.\n", "\n", "### Inspect Seasonality\n", "Our model above is perhaps a bit too naive. We can already improve by exploiting the seasonality in the data. It seems quite obvious that the data has a yearly seasonality, which we can confirm by looking at the auto-correlation function (ACF), and highlighting the lag `m=12`:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from darts.utils.statistics import check_seasonality, plot_acf\n", "\n", "plot_acf(train, m=12, alpha=0.05, max_lag=24)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The ACF presents a spike at x = 12, which suggests a yearly seasonality trend (highlighted in red). The blue zone determines the significance of the statistics for a confidence level of $\\alpha = 5\\%$. We can also run a statistical check of seasonality for each candidate period `m`:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "There is seasonality of order 12.\n" ] } ], "source": [ "for m in range(2, 25):\n", " is_seasonal, period = check_seasonality(train, m=m, alpha=0.05)\n", " if is_seasonal:\n", " print(f\"There is seasonality of order {period}.\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### A less naive model\n", "Let's try the `NaiveSeasonal` model again with a seasonality of 12:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "seasonal_model = NaiveSeasonal(K=12)\n", "seasonal_model.fit(train)\n", "seasonal_forecast = seasonal_model.predict(36)\n", "\n", "series.plot(label=\"actual\")\n", "seasonal_forecast.plot(label=\"naive forecast (K=12)\");" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "This is better, but we are still missing the trend. Fortunately, there is also another naive baseline model capturing the trend, which is called `NaiveDrift`. This model simply produces linear predictions, with a slope that is determined by the first and last values of the training set:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from darts.models import NaiveDrift\n", "\n", "drift_model = NaiveDrift()\n", "drift_model.fit(train)\n", "drift_forecast = drift_model.predict(36)\n", "\n", "combined_forecast = drift_forecast + seasonal_forecast - train.last_value()\n", "\n", "series.plot()\n", "combined_forecast.plot(label=\"combined\")\n", "drift_forecast.plot(label=\"drift\");" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "What happened there? We simply fit a naive drift model, and add its forecast to the seasonal forecast we had previously. We also subtract the last value of the training set from the result, so that the resulting combined forecast starts off with the right offset.\n", "\n", "## Computing error metrics\n", "\n", "This looks already like a fairly decent forecast, and we did not use any non-naive model yet. In fact - any model should be able to beat this. \n", "\n", "So what's the error we will have to beat? We will use the [Mean Absolute Percentage Error (MAPE)](https://en.wikipedia.org/wiki/Mean_absolute_percentage_error) (note that in practice there are often good reasons *not* to use the MAPE - we use it here as it is quite convenient and scale independent). In Darts it is a simple function call:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean absolute percentage error for the combined naive drift + seasonal: 5.66%.\n" ] } ], "source": [ "from darts.metrics import mape\n", "\n", "print(\n", " f\"Mean absolute percentage error for the combined naive drift + seasonal: {mape(series, combined_forecast):.2f}%.\"\n", ")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "`darts.metrics` contains many more metrics to compare time series. The metrics will compare only common slices of series when the two series are not aligned, and parallelize computation over a large number of series pairs - but let's not get ahead of ourselves." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Quickly try out several models\n", "Darts is built to make it easy to train and validate several models in a unified way. Let's train a few more and compute their respective MAPE on the validation set:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "scrolled": true, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "model ExponentialSmoothing() obtains MAPE: 5.11%\n", "model AutoARIMA() obtains MAPE: 12.70%\n", "model Theta() obtains MAPE: 8.15%\n" ] } ], "source": [ "from darts.models import AutoARIMA, ExponentialSmoothing, Theta\n", "\n", "\n", "def eval_model(model):\n", " model.fit(train)\n", " forecast = model.predict(len(val))\n", " print(f\"model {model} obtains MAPE: {mape(val, forecast):.2f}%\")\n", "\n", "\n", "eval_model(ExponentialSmoothing())\n", "eval_model(AutoARIMA())\n", "eval_model(Theta())" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Here, we only created these models with their default parameters. We can probably do better if we fine-tune to our problem. Let's try with the Theta method." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Searching for hyper-parameters with the Theta method" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The model `Theta` contains an implementation of Assimakopoulos and Nikolopoulos' Theta method. This method has had some success, particularly in the M3-competition.\n", "\n", "Though the value of the Theta parameter is often set to 0 in applications, our implementation supports a variable value for parameter tuning purposes. Let's try to find a good value for Theta:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "# Search for the best theta parameter, by trying 50 different values\n", "thetas = 2 - np.linspace(-10, 10, 50)\n", "\n", "best_mape = float(\"inf\")\n", "best_theta = 0\n", "\n", "for theta in thetas:\n", " model = Theta(theta)\n", " model.fit(train)\n", " pred_theta = model.predict(len(val))\n", " res = mape(val, pred_theta)\n", "\n", " if res < best_mape:\n", " best_mape = res\n", " best_theta = theta" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Lowest MAPE is: 4.40, with theta = -3.5102040816326543.\n" ] } ], "source": [ "best_theta_model = Theta(best_theta)\n", "best_theta_model.fit(train)\n", "pred_best_theta = best_theta_model.predict(len(val))\n", "\n", "print(f\"Lowest MAPE is: {mape(val, pred_best_theta):.2f}, with theta = {best_theta}.\")" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "train.plot(label=\"train\")\n", "val.plot(label=\"true\")\n", "pred_best_theta.plot(label=\"prediction\");" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can observe that the model with `best_theta` is so far the best we have, in terms of MAPE." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Backtesting: simulate historical forecasting\n", "So at this point we have a model that performs well on our validation set, and that's good. But, how can we know the performance we *would have obtained* if we *had been using this model* historically? \n", "\n", "Backtesting simulates predictions that would have been obtained historically with a given model. It can take a while to produce, since the model is (by default) re-trained every time the simulated prediction time advances.\n", "\n", "Such simulated forecasts are always defined with respect to a *forecast horizon*, which is the number of time steps that separate the prediction time from the forecast time. In the example below, we simulate forecasts done for 3 months into the future (compared to prediction time). The result of calling `historical_forecasts()` is (by default) a `TimeSeries` which contains only the last predicted value of each of those 3-months ahead forecasts:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "4ac5035021164205b14935cc4a8b8cc3", "version_major": 2, "version_minor": 0 }, "text/plain": [ "historical forecasts: 0%| | 0/58 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hfc_params = {\n", " \"series\": series,\n", " \"start\": pd.Timestamp(\n", " \"1956-01-01\"\n", " ), # can also be a float for the fraction of the series to start at\n", " \"forecast_horizon\": 3,\n", " \"verbose\": True,\n", "}\n", "historical_fcast_theta = best_theta_model.historical_forecasts(\n", " last_points_only=True, **hfc_params\n", ")\n", "\n", "series.plot(label=\"data\")\n", "historical_fcast_theta.plot(label=\"backtest 3-months ahead forecast (Theta)\")\n", "print(f\"MAPE = {mape(series, historical_fcast_theta):.2f}%\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also retrieve all predicted values from each historical forecast, by setting `last_points_only=False`. With the `stride` parameter we define how many steps to move between two consecutative forecasts. We set it to 3 months, so that we can then concatenate the forecasts into a single `TimeSeries`." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "66a795239dee494e976c17b620d67e4c", "version_major": 2, "version_minor": 0 }, "text/plain": [ "historical forecasts: 0%| | 0/20 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "historical_fcast_theta_all = best_theta_model.historical_forecasts(\n", " last_points_only=False, stride=3, **hfc_params\n", ")\n", "\n", "series.plot(label=\"data\")\n", "for idx, hfc in enumerate(historical_fcast_theta_all):\n", " hfc.plot(label=f\"forecast {idx}\")\n", "\n", "from darts import concatenate\n", "\n", "historical_fcast_theta_all = concatenate(historical_fcast_theta_all, axis=0)\n", "print(f\"MAPE = {mape(series, historical_fcast_theta_all):.2f}%\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "So it seems that our best model on validation set is not doing so great anymore when we backtest it (did I hear overfitting :D)\n", "\n", "To have a closer look at the errors, we can also use the `backtest()` method to obtain all the raw errors (say, MAPE errors) that would have been obtained by our model:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "tags": [] }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "5b2657cb3b8e438fb1a7adfa8a157439", "version_major": 2, "version_minor": 0 }, "text/plain": [ "historical forecasts: 0%| | 0/58 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "best_theta_model = Theta(best_theta)\n", "\n", "raw_errors = best_theta_model.backtest(\n", " metric=mape, reduction=None, last_points_only=False, stride=1, **hfc_params\n", ")\n", "\n", "from darts.utils.statistics import plot_hist\n", "\n", "plot_hist(\n", " raw_errors,\n", " bins=np.arange(0, max(raw_errors), 1),\n", " title=\"Individual backtest error scores (histogram)\",\n", ");" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Finally, using `backtest()` we can also get a simpler view of the average error over the historical forecasts:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "c78c411fe311455a9f6aa5cc58b50fa6", "version_major": 2, "version_minor": 0 }, "text/plain": [ "historical forecasts: 0%| | 0/58 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from darts.utils.statistics import plot_residuals_analysis\n", "\n", "plot_residuals_analysis(best_theta_model.residuals(series))" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can see that the distribution is not centered at 0, which means that our `Theta` model is biased. We can also make out a large ACF value at lag equal to 12, which indicates that the residuals contain information that was not used by the model.\n", "\n", "Our `residuals` method is actually much more powerful! It can be used to compute any *per-time step metric* from Darts (see a list [here](https://unit8co.github.io/darts/generated_api/darts.metrics.html)) even for multi-step forecasts. It also supports pre-computed historical forecasts similar to backtest.\n", "\n", "Now let's check the distribution of absolute errors we get for each step in the 3 months forecasts." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from darts.metrics import ae\n", "\n", "residuals = best_theta_model.residuals(\n", " historical_forecasts=hfc_precomputed,\n", " metric=ae, # the absolute error per time step\n", " last_points_only=False,\n", " values_only=True, # return a list of numpy arrays\n", " **hfc_params,\n", ")\n", "residuals = np.concatenate(residuals, axis=1)[:, :, 0]\n", "\n", "fig, ax = plt.subplots()\n", "for forecast_step in range(len(residuals)):\n", " ax.hist(residuals[forecast_step], label=f\"step {forecast_step}\", alpha=0.5)\n", "ax.legend()\n", "ax.set_title(\"Absolute errors per forecast step\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can clearly see that the errors increase the further ahead into the future we predict." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A better model\n", "Could we maybe do better with a simple `ExponentialSmoothing` model?" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "tags": [] }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "e5bd892913f7438a8dd6c02524739933", "version_major": 2, "version_minor": 0 }, "text/plain": [ "historical forecasts: 0%| | 0/58 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model_es = ExponentialSmoothing(seasonal_periods=12)\n", "historical_fcast_es = model_es.historical_forecasts(**hfc_params)\n", "\n", "series.plot(label=\"data\")\n", "historical_fcast_es.plot(label=\"backtest 3-months ahead forecast (Exp. Smoothing)\")\n", "print(f\"MAPE = {mape(historical_fcast_es, series):.2f}%\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "This is much better! We get a mean absolute percentage error of about 4-5% when backtesting with a 3-months forecast horizon in this case. " ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "tags": [] }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "f3d93fe561d1403cbfc2f4fb28c9718a", "version_major": 2, "version_minor": 0 }, "text/plain": [ "historical forecasts: 0%| | 0/120 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_residuals_analysis(model_es.residuals(series, verbose=True))" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The residual analysis also reflects an improved performance in that we now have a distribution of the residuals centred at value 0, and the ACF values, although not insignificant, have lower magnitudes." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Machine learning and global models\n", "Darts has a rich support for machine learning and deep learning forecasting models; for instance:\n", "\n", "* [SKLearnModel](https://unit8co.github.io/darts/generated_api/darts.models.forecasting.sklearn_model.html) can wrap around any sklearn-compatible regression model to produce forecasts (it has its own [section below](#Regression-forecasting-models)).\n", "* [RNNModel](https://unit8co.github.io/darts/generated_api/darts.models.forecasting.rnn_model.html) is a flexible RNN implementation, which can be used like DeepAR.\n", "* [NBEATSModel](https://unit8co.github.io/darts/generated_api/darts.models.forecasting.nbeats.html) implements the N-BEATS model.\n", "* [TFTModel](https://unit8co.github.io/darts/generated_api/darts.models.forecasting.tft_model.html) implements the Temporal Fusion Transformer model.\n", "* [TCNModel](https://unit8co.github.io/darts/generated_api/darts.models.forecasting.tcn_model.html) implements temporal convolutional networks.\n", "* ...\n", "\n", "In addition to supporting the same basic `fit()`/`predict()` interface as the other models, these models are also *global models*, as they support being trained on multiple time series (sometimes referred to as *meta learning*). \n", "\n", "This is a key point of using ML-based models for forecasting: more often than not, ML models (especially deep learning models) need to be trained on large amounts of data, which often means a large amount of separate yet related time series. \n", "\n", "In Darts, the basic way to specify multiple `TimeSeries` is using a `Sequence` of `TimeSeries` (for example, a simple list of `TimeSeries`).\n", "\n", "## A toy example with two series\n", "These models can be trained on thousands of series. Here, for the sake of illustration, we will load two distinct series - the air traffic passenger count and another series with the number of pounds of milk produced per cow monthly. We also cast our series to `np.float32` as that will slightly speedup the training:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from darts.datasets import AirPassengersDataset, MonthlyMilkDataset\n", "\n", "series_air = AirPassengersDataset().load().astype(np.float32)\n", "series_milk = MonthlyMilkDataset().load().astype(np.float32)\n", "\n", "# set aside last 36 months of each series as validation set:\n", "train_air, val_air = series_air[:-36], series_air[-36:]\n", "train_milk, val_milk = series_milk[:-36], series_milk[-36:]\n", "\n", "train_air.plot()\n", "val_air.plot()\n", "train_milk.plot()\n", "val_milk.plot();" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "First, let's scale these two series between 0 and 1, as that will benefit most ML models. We will use a [Scaler](https://unit8co.github.io/darts/generated_api/darts.dataprocessing.transformers.scaler.html) for this:" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from darts.dataprocessing.transformers import Scaler\n", "\n", "scaler = Scaler()\n", "train_air_scaled, train_milk_scaled = scaler.fit_transform([train_air, train_milk])\n", "\n", "train_air_scaled.plot()\n", "train_milk_scaled.plot();" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Note how we can scale several series in one go. We can also parallelize this sort of operations over multiple processors by specifying `n_jobs`." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Using deep learning: example with N-BEATS\n", "\n", "> Note: You can find a detailed user guide for our Neural Network Models (TorchForecastingModels) [here](https://unit8co.github.io/darts/userguide/torch_forecasting_models.html).\n", "\n", "Next, we will build an [N-BEATS model](https://unit8co.github.io/darts/generated_api/darts.models.forecasting.nbeats.html). This model can be tuned with many hyper-parameters (such as number of stacks, layers, etc). Here, for simplicity, we will use it with default hyper-parameters. The only two hyper-parameters that we have to provide are:\n", "\n", "* `input_chunk_length`: this is the \"lookback window\" of the model - i.e., how many time steps of history the neural network takes as input to produce its output in a forward pass.\n", "* `output_chunk_length`: this is the \"forward window\" of the model - i.e., how many time steps of future values the neural network outputs in a forward pass.\n", "\n", "The `random_state` parameter is just here to get reproducible results.\n", "\n", "Most neural networks in Darts require these two parameters. Here, we will use multiples of the seasonality. We are now ready to fit our model on our two series (by giving a list containing the two series to `fit()`):" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "GPU available: True (mps), used: True\n", "TPU available: False, using: 0 TPU cores\n", "HPU available: False, using: 0 HPUs\n", "\n", " | Name | Type | Params | Mode \n", "-------------------------------------------------------------\n", "0 | criterion | MSELoss | 0 | train\n", "1 | train_criterion | MSELoss | 0 | train\n", "2 | val_criterion | MSELoss | 0 | train\n", "3 | train_metrics | MetricCollection | 0 | train\n", "4 | val_metrics | MetricCollection | 0 | train\n", "5 | stacks | ModuleList | 6.2 M | train\n", "-------------------------------------------------------------\n", "6.2 M Trainable params\n", "1.4 K Non-trainable params\n", "6.2 M Total params\n", "24.787 Total estimated model params size (MB)\n", "396 Modules in train mode\n", "0 Modules in eval mode\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "4ef3ba746c7c422695cc97a6e33138df", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Training: | | 0/? [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pred_air, pred_milk = model.predict(series=[train_air_scaled, train_milk_scaled], n=36)\n", "\n", "# scale back:\n", "pred_air, pred_milk = scaler.inverse_transform([pred_air, pred_milk])\n", "\n", "plt.figure(figsize=(10, 6))\n", "series_air.plot(label=\"actual (air)\")\n", "series_milk.plot(label=\"actual (milk)\")\n", "pred_air.plot(label=\"forecast (air)\")\n", "pred_milk.plot(label=\"forecast (milk)\");" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Our forecasts are actually not so terrible, considering that we use **one model** with default hyper-parameters to capture both air passengers and milk production!\n", "\n", "The model seems quite OK at capturing the yearly seasonality, but misses the trend for the air series. In the next section, we will try to solve this issue using external data (covariates)." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Covariates: using external data\n", "In addition to the **target** series (the series we are interested to forecast), many models in Darts also accept **covariates** series in input. Covariates are series that we do not want to forecast, but which can provide helpful additional information to the models. Both the targets and covariates can be multivariate or univariate.\n", "\n", "There are two kinds of covariate time series in Darts:\n", "\n", "* `past_covariates` are series not necessarily known ahead of the forecast time. They can for instance represent things that have to be measured and are not known upfront. Models do not use future values of `past_covariates` when making forecasts (only for global models when predicting with `n > output_chunk_length` due to auto-regression). For more info on past/future covariates, check out this [user guide](https://unit8co.github.io/darts/userguide/covariates.html).\n", "* `future_covariates` are series which are known in advance, up to the forecast horizon. They can represent things such as calendar information, holidays, weather forecasts, etc. Models that accept `future_covariates` will look at the future values (up to the forecast horizon) when making forecasts.\n", "* `static_covariates` are characteristics of the target series which do not change over time. They are embedded directly into the target series. They can represent things such as the category of product, country information, etc. For more info on static covariates, check out this [user guide](https://unit8co.github.io/darts/examples/15-static-covariates.html).\n", "\n", "![covariates](static/images/covariates-highlevel.png)\n", "\n", "Each covariate can potentially be multivariate. If you have several covariate series (such as month and year values), you should `stack()` or `concatenate()` them to obtain a multivariate series.\n", "\n", "The covariates you provide can be longer than necessary. **Darts's model will automatically handle the extraction of relevant time frames for you!** You will receive an error if your covariates do not have a sufficient time span, though.\n", "\n", "Not all models support every covariate type. You can find a model list [here](https://unit8co.github.io/darts/index.html#forecasting-models) stating which types they support.\n", "\n", "Let's now build some external covariates containing both monthly and yearly values for our air and milk series.\n", "In the cell below, we use the `darts.utils.timeseries_generation.datetime_attribute_timeseries()` function to generate series containing the month and year values, and we `concatenate()` these series along the `\"component\"` axis (same as `axis=1`) in order to obtain one covariate series with two components (month and year), per target series. For simplicity, we directly scale the month and year values to have them between 0 and 1:" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from darts import concatenate\n", "from darts.utils.timeseries_generation import datetime_attribute_timeseries as dt_attr\n", "\n", "air_covs = concatenate(\n", " [\n", " dt_attr(series_air, \"month\", dtype=np.float32),\n", " dt_attr(series_air, \"year\", dtype=np.float32),\n", " ],\n", " axis=\"component\",\n", ")\n", "\n", "milk_covs = concatenate(\n", " [\n", " dt_attr(series_milk, \"month\", dtype=np.float32),\n", " dt_attr(series_milk, \"year\", dtype=np.float32),\n", " ],\n", " axis=\"component\",\n", ")\n", "\n", "air_covs_scaled, milk_covs_scaled = Scaler().fit_transform([air_covs, milk_covs])\n", "air_covs_scaled.plot()\n", "milk_covs_scaled.plot()\n", "plt.title(\n", " \"one multivariate time series of 2 dimensions, containing covariates for the air series:\"\n", ");" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "`NBEATSModel` supports only `past_covariates`. Therefore, even though our covariates represent calendar information and are known in advance, we will use them as `past_covariates` with N-BEATS. To train, all we have to do is give them as `past_covariates` to the `fit()` function, in the same order as the targets:" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "GPU available: True (mps), used: True\n", "TPU available: False, using: 0 TPU cores\n", "HPU available: False, using: 0 HPUs\n", "\n", " | Name | Type | Params | Mode \n", "-------------------------------------------------------------\n", "0 | criterion | MSELoss | 0 | train\n", "1 | train_criterion | MSELoss | 0 | train\n", "2 | val_criterion | MSELoss | 0 | train\n", "3 | train_metrics | MetricCollection | 0 | train\n", "4 | val_metrics | MetricCollection | 0 | train\n", "5 | stacks | ModuleList | 6.6 M | train\n", "-------------------------------------------------------------\n", "6.6 M Trainable params\n", "1.7 K Non-trainable params\n", "6.6 M Total params\n", "26.314 Total estimated model params size (MB)\n", "396 Modules in train mode\n", "0 Modules in eval mode\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "89aad5d49a1045f1bba0237f7fe47eb3", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Training: | | 0/? [00:00 output_chunk_length`: using auto-regression to forecast the values after `output_chunk_length` points. The model will access `(n - output_chunk_length)` future values of your `past_covariates` (relative to the first predicted time step). To hide this warning, set `show_warnings=False`.\n", "GPU available: True (mps), used: True\n", "TPU available: False, using: 0 TPU cores\n", "HPU available: False, using: 0 HPUs\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "e47e88ad7daf45e5968b1f52f5a1f261", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Predicting: | | 0/? [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "preds = model.predict(\n", " series=[train_air_scaled, train_milk_scaled],\n", " past_covariates=[air_covs_scaled, milk_covs_scaled],\n", " n=36,\n", ")\n", "\n", "# scale back:\n", "pred_air, pred_milk = scaler.inverse_transform(preds)\n", "\n", "plt.figure(figsize=(10, 6))\n", "series_air.plot(label=\"actual (air)\")\n", "series_milk.plot(label=\"actual (milk)\")\n", "pred_air.plot(label=\"forecast (air)\")\n", "pred_milk.plot(label=\"forecast (milk)\");" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "It seems that now the model captures the trend of the air series better (which also perturbs a bit the forecasts of the milk series). \n", "\n", "The model warning is pretty important. It tells us that future values of our `past_covariates` were used for prediction because we picked a hoizon `n > output_chunk_length` which activates auto-regression. The model will then cosume it's own predictions as input for the next prediction. Since the prediction point moves ahead, the model requires new values from the past covariates. These will however only be extracted from the past relative to the prediciton point (never from the forecast horizon itself)!\n", "\n", "In our case it's fine to do this since we only use calendar information that we know in advance. If instead we used some features that we only know in the past, then we should only forecast with `n <= output_chunk_length`." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Encoders: using covariates for free\n", "\n", "Using covariates related to the calendar or time axis (such as months and years as in our example above) is so frequent that all of Darts' models with covariates support have a built-in functionality to generate them out of the box.\n", "\n", "To easily integrate such covariates to your model, you can simply specify the `add_encoders` parameter at model creation. This parameter has to be a dictionary containing informations about what should be encoded as extra covariates. Here is an example of what such a dictionary could look like, for a model supporting both past and future covariates:" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "def extract_year(idx):\n", " \"\"\"Extract the year each time index entry and normalized it.\"\"\"\n", " return (idx.year - 1950) / 50\n", "\n", "\n", "encoders = {\n", " \"cyclic\": {\"future\": [\"month\"]},\n", " \"datetime_attribute\": {\"future\": [\"hour\", \"dayofweek\"]},\n", " \"position\": {\"past\": [\"absolute\"], \"future\": [\"relative\"]},\n", " \"custom\": {\"past\": [extract_year]},\n", " \"transformer\": Scaler(),\n", "}" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "In the above dictionary, the following things are specified:\n", "\n", "* The month should be used as a future covariate, with a cyclic (sin/cos) encoding.\n", "* The hour and day-of-the-week should be used as future covariates.\n", "* The absolute position (time step in the series) should be used as past covariates.\n", "* The relative position (w.r.t the forecasting time) should be used as future covariates.\n", "* An additional custom function of the year should be used as past covariates.\n", "* All the above covariates should be scaled using a `Scaler`, which will be fit upon calling the model `fit()` function and used afterwards to transform the covariates.\n", "\n", "We refer to [the API doc](https://unit8co.github.io/darts/generated_api/darts.dataprocessing.encoders.encoders.html#sequentialencoder) for more informations about how to use encoders. Note that lambda functions cannot be used as they are not pickable.\n", "\n", "To replicate our example with month and year used as past covariates with N-BEATS, we can use some encoders as follows:" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "encoders = {\"datetime_attribute\": {\"past\": [\"month\", \"year\"]}, \"transformer\": Scaler()}" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Now, the whole training of the N-BEATS model with these covariates looks as follows:" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "GPU available: True (mps), used: True\n", "TPU available: False, using: 0 TPU cores\n", "HPU available: False, using: 0 HPUs\n", "\n", " | Name | Type | Params | Mode \n", "-------------------------------------------------------------\n", "0 | criterion | MSELoss | 0 | train\n", "1 | train_criterion | MSELoss | 0 | train\n", "2 | val_criterion | MSELoss | 0 | train\n", "3 | train_metrics | MetricCollection | 0 | train\n", "4 | val_metrics | MetricCollection | 0 | train\n", "5 | stacks | ModuleList | 6.6 M | train\n", "-------------------------------------------------------------\n", "6.6 M Trainable params\n", "1.7 K Non-trainable params\n", "6.6 M Total params\n", "26.314 Total estimated model params size (MB)\n", "396 Modules in train mode\n", "0 Modules in eval mode\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "1a7020f8aed94382a9c9ef6c8b27bd5c", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Training: | | 0/? [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "preds = model.predict(\n", " series=[train_air_scaled, train_milk_scaled], n=36, show_warnings=False\n", ")\n", "\n", "# scale back:\n", "pred_air, pred_milk = scaler.inverse_transform(preds)\n", "\n", "plt.figure(figsize=(10, 6))\n", "series_air.plot(label=\"actual (air)\")\n", "series_milk.plot(label=\"actual (milk)\")\n", "pred_air.plot(label=\"forecast (air)\")\n", "pred_milk.plot(label=\"forecast (milk)\");" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Regression forecasting models\n", "\n", "> Note: You can find a detailed example notebook for our SKLearnModel [here](https://unit8co.github.io/darts/examples/20-SKLearnModel-examples.html).\n", "\n", "[SKLearnModel](https://unit8co.github.io/darts/generated_api/darts.models.forecasting.sklearn_model.html) are forecasting models which wrap around sklearn-compatible regression models. The inner regression model is used to predict future values of the target series, as a function of certain lags of the target, past and future covariates. Behind the scenes, the time series are tabularized in order to build a training dataset in the right format. \n", "\n", "By default, the `SKLearnModel` will do a linear regression. It is very easy to use any desired sklearn-compatible regression model by specifying the `model` parameter, but for convenience Darts also provides a couple of ready-made models out of the box:\n", "\n", "* [LinearRegressionModel](https://unit8co.github.io/darts/generated_api/darts.models.forecasting.linear_regression_model.html) wraps around `sklearn.linear_model.LinearRegression` (accepting the same kwargs).\n", "* [RandomForestModel](https://unit8co.github.io/darts/generated_api/darts.models.forecasting.random_forest.html) wraps around `sklearn.ensemble.RandomForestRegressor`.\n", "* [LightGBMModel](https://unit8co.github.io/darts/generated_api/darts.models.forecasting.lgbm.html) wraps around `lightbm`.\n", "* [XGBModel](https://unit8co.github.io/darts/generated_api/darts.models.forecasting.xgboost.html) wraps around `xgboost`.\n", "* [CatBoostModel](https://unit8co.github.io/darts/generated_api/darts.models.forecasting.catboost_model.html) wraps around `catboost`.\n", "\n", "For example, this is what fitting a Bayesian ridge regression to our toy two-series problem looks like:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "from sklearn.linear_model import BayesianRidge\n", "\n", "from darts.models import SKLearnModel\n", "\n", "model = SKLearnModel(lags=72, lags_future_covariates=[-6, 0], model=BayesianRidge())\n", "\n", "model.fit(\n", " [train_air_scaled, train_milk_scaled],\n", " future_covariates=[air_covs_scaled, milk_covs_scaled],\n", ");" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Several things happened above:\n", "\n", "* `lags=72` is telling the `SKLearnModel` to look at the past 72 lags / months of the target.\n", "* In addition, `lags_future_covariates=[-6, 0]` means that the model will also look at lags of the `future_covariates` we provide. Here we specify the exact lags we want the models to take into account; the \"-6th\" and the \"0th\" lag. The \"0th\" lag means the \"current\" lag (i.e., at the time step being forecasted); obviously, knowning this lag requires knowing the data in advance (hence the fact we are using `future_covariates`). Similarly, `-6` means we also look at the value of the covariates 6 months before the forecasted time step (which also requires to know the covariates in advance if we are forecasting at a horizon more than 6 steps ahead).\n", "* `model=BayesianRidge()` provides the actual inner regression model.\n", "\n", "Now let's get some forecasts:" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "preds = model.predict(\n", " series=[train_air_scaled, train_milk_scaled],\n", " future_covariates=[air_covs_scaled, milk_covs_scaled],\n", " n=36,\n", ")\n", "\n", "# scale back:\n", "pred_air, pred_milk = scaler.inverse_transform(preds)\n", "\n", "plt.figure(figsize=(10, 6))\n", "series_air.plot(label=\"actual (air)\")\n", "series_milk.plot(label=\"actual (milk)\")\n", "pred_air.plot(label=\"forecast (air)\")\n", "pred_milk.plot(label=\"forecast (milk)\");" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Note how we obtained the forecasts for the two time series at once above. Similarly, we can also get some metrics over sequences of series:" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[3.435389, 5.129032]" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mape([series_air, series_milk], [pred_air, pred_milk])" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "or the average metric over \"all\" series:" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4.2822104" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mape([series_air, series_milk], [pred_air, pred_milk], series_reduction=np.mean)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "It seems that this model performs well on the Air traffic series, how does it do when we backtest it on this one series?" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "`enable_optimization=True` is ignored because `retrain` is not `False` or `0`. To hide this warning, set `show_warnings=False` or `enable_optimization=False`.\n", "`enable_optimization=True` is ignored because `forecast_horizon > model.output_chunk_length`. To hide this warning, set `show_warnings=False` or `enable_optimization=False`.\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "d51e0ce82c6849a5ab8e7dda063eb6f4", "version_major": 2, "version_minor": 0 }, "text/plain": [ "historical forecasts: 0%| | 0/58 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bayes_ridge_model = SKLearnModel(\n", " lags=72, lags_future_covariates=[0], model=BayesianRidge()\n", ")\n", "\n", "backtest = bayes_ridge_model.historical_forecasts(\n", " future_covariates=[air_covs_scaled, milk_covs_scaled],\n", " **hfc_params,\n", ")\n", "\n", "print(f\"MAPE = {mape(series_air, backtest):.2f}%\")\n", "series_air.plot()\n", "backtest.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our best model so far!\n", "\n", "## Applying scaler in backtesting\n", "\n", "To avoid data-leakage through the target and future covariate scaler, we will pass it to `historical_forecasts` so that the scaler is fitted and applied to both the target and the future covariates at each iteration." ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "`enable_optimization=True` is ignored because `retrain` is not `False` or `0`. To hide this warning, set `show_warnings=False` or `enable_optimization=False`.\n", "`enable_optimization=True` is ignored because `forecast_horizon > model.output_chunk_length`. To hide this warning, set `show_warnings=False` or `enable_optimization=False`.\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "3fc0c9a401c840a9b0f5d1d115248dd7", "version_major": 2, "version_minor": 0 }, "text/plain": [ "historical forecasts: 0%| | 0/58 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "backtest_auto_scaling = bayes_ridge_model.historical_forecasts(\n", " future_covariates=air_covs,\n", " data_transformers={\"series\": Scaler(), \"future_covariates\": Scaler()},\n", " retrain=True, # ensure that the scalers are fitted at each iterations\n", " **hfc_params,\n", ")\n", "\n", "print(f\"MAPE = {mape(series_air, backtest_auto_scaling):.2f}%\")\n", "series_air.plot()\n", "backtest_auto_scaling.plot();" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The MAPE score is slightly worse, which is expected since information cannot leak from the future anymore but the backtesting conditions are more reliable." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Sample Weights\n", "\n", "All our global models (regression-, ensemble-, and neural network models) support sample weights for training. They are applied per observation, label (each step in `output_chunk_length`), and component. This can be very useful to:\n", "\n", "- weigh certain time frames more than others (e.g. decaying weights the further the points in the past, higher weights for times with more business value, ...) \n", "- reduce / remove the effect of outliers or missing values on the model\n", "\n", "Let's just introduce some outliers to the air passengers series and see how a linear regression model with a 12 months lookback window (`lags=12`) performs on this data." ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "8ea826a5e36c4efeb062d2a4ccca4661", "version_major": 2, "version_minor": 0 }, "text/plain": [ "historical forecasts: 0%| | 0/57 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# convert to pandas DataFrame and add some outliers\n", "air_df = series_air.to_dataframe()\n", "outlier_mask = (air_df.index.year >= 1950) & (air_df.index.year <= 1951)\n", "air_df.loc[outlier_mask] = 600.0\n", "air_outlier = TimeSeries.from_dataframe(air_df)\n", "\n", "from darts.models import LinearRegressionModel\n", "\n", "model_lin = LinearRegressionModel(lags=12, lags_future_covariates=[0])\n", "hist_fc_kwargs = {\n", " \"series\": air_outlier,\n", " \"future_covariates\": air_covs_scaled,\n", " \"start\": 0.6,\n", " \"forecast_horizon\": 3,\n", " \"verbose\": True,\n", " \"show_warnings\": False,\n", "}\n", "backtest = model_lin.historical_forecasts(**hist_fc_kwargs)\n", "\n", "print(f\"MAPE = {mape(air_outlier, backtest):.2f}%\")\n", "air_outlier.plot(label=\"air series with outliers\")\n", "backtest.plot(label=\"non-weighted predictions\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This doesn't look very good. It would be great if we could ignore the outliers somehow. And this is where sample weights come in!\n", "\n", "In Darts, sample weights are treated like covariates - they are defined as `TimeSeries` themselves. Thanks to that our models can automatically extract the relevant time frames for us!\n", "\n", "Let's create a weights series in which we set all outlier times to `0.` and the remaining times to `1.`. We also set the 12 months after the last outlier to `0.`, since these times fall into the lookback window of our model. Otherwise we would still have some outliers in the model input." ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "weight_mask = (air_df.index.year >= 1950) & (air_df.index.year <= 1952)\n", "sample_weight = np.ones((len(air_df), 1))\n", "sample_weight[weight_mask, 0] = 0.0\n", "sample_weight = air_outlier.with_values(sample_weight)\n", "\n", "# and plot the results\n", "air_outlier.plot(label=\"air series with outliers\")\n", "(sample_weight * 300).plot(label=\"sample weight * 300\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can train the models with the sample weights using methods `fit()`, `historical_forecasts`, `backtest()`, ..." ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "cee8f39a41324c8484a27f1b7d128aae", "version_major": 2, "version_minor": 0 }, "text/plain": [ "historical forecasts: 0%| | 0/57 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model_lin = LinearRegressionModel(lags=12, lags_future_covariates=[0])\n", "backtest_weighted = model_lin.historical_forecasts(\n", " sample_weight=sample_weight, **hist_fc_kwargs\n", ")\n", "\n", "print(f\"MAPE = {mape(series_air, backtest_weighted):.2f}%\")\n", "air_outlier.plot(label=\"air series with outliers\")\n", "backtest_weighted.plot(label=\"weighted predictions\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Wow, this looks great! We managed to completely remove the negative impact of the outliers on our model!\n", "\n", "**Note:** our sample weights also support multi-horizon forecasts, multiple time series, multivariate series, and weights for evaluation sets (if the model support it) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Forecast Start Shifting\n", "\n", "We might also be interested in forecasts starting with an offset after the end of our target series. This can be useful for example:\n", "\n", "- In (Day-) Ahead Markets, where (each day) we need to make some biddings for a future point in time (next day) - we are not really interested in what happens between now and that future point in time. We can reduce model complexity by only focusing on times of interest.\n", "- When are covariates (or target series) are reported with a delay\n", "\n", "All our global models support such predictions with an offset through model creation parameter `output_chunk_shift` - the number of steps to shift the first predicted step into the future.\n", "\n", "With an output shift, the model cannot perform auto-regression anymore. So let's create a linear model that directly predicts the next 12 months with an offset of 12 months." ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model_shifted = LinearRegressionModel(\n", " lags=12,\n", " lags_future_covariates=(0, 12),\n", " output_chunk_length=12,\n", " output_chunk_shift=12,\n", ")\n", "\n", "model_shifted.fit(series_air[:-24], future_covariates=air_covs)\n", "preds = model_shifted.predict(n=12)\n", "\n", "series_air[:-24].plot(label=\"train series\")\n", "series_air[-24:].plot(label=\"val_series\")\n", "preds.plot(label=\"shifted prediction\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that the prediction starts 12 months after the end of the training series." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Probabilistic forecasts\n", "\n", "Most models in Darts support probabilistic forecasts (some local models and all regression-, ensemble- and neural network models). The full support list is [available on the Darts README page](https://github.com/unit8co/darts#forecasting-models).\n", "\n", "\n", "## With Local Models\n", "\n", "For local models (`ARIMA`, `ExponentialSmoothing`, ...), we can simply specify a `num_samples` parameter when calling `predict()`. The returned `TimeSeries` will then contain `num_samples` Monte Carlo samples describing the distribution of the time series' values. The advantage of relying on Monte Carlo samples (in contrast to, say, explicit confidence intervals) is that they can be used to describe any parametric or non-parametric joint distribution over components, and compute arbitrary quantiles." ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model_es = ExponentialSmoothing()\n", "model_es.fit(train)\n", "probabilistic_forecast = model_es.predict(len(val), num_samples=500)\n", "\n", "series.plot(label=\"actual\")\n", "probabilistic_forecast.plot(label=\"probabilistic forecast\")\n", "plt.legend()\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## With Neural Network Models (TorchForecastingModel)\n", "\n", "With neural networks, we have to use a `Likelihood` object at model creation. The likelihoods specify which distribution the model will try to fit, along with potential prior values for the distributions' parameters. The full list of available likelihoods is [available in the docs](https://unit8co.github.io/darts/generated_api/darts.utils.likelihood_models.torch.html).\n", "\n", "Next to the distributions, we also support `QuantileRegression` as likelihood, which estimates future quantile values of the target series.\n", "\n", "Using likelihoods is easy. For instance, here is what training an `TCNModel` to fit a Laplace likelihood looks like:" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "GPU available: True (mps), used: False\n", "TPU available: False, using: 0 TPU cores\n", "HPU available: False, using: 0 HPUs\n", "/Users/dennisbader/miniconda3/envs/darts/lib/python3.10/site-packages/pytorch_lightning/trainer/setup.py:177: GPU available but not used. You can set it by doing `Trainer(accelerator='gpu')`.\n", "\n", " | Name | Type | Params | Mode \n", "-------------------------------------------------------------\n", "0 | criterion | MSELoss | 0 | train\n", "1 | train_criterion | MSELoss | 0 | train\n", "2 | val_criterion | MSELoss | 0 | train\n", "3 | train_metrics | MetricCollection | 0 | train\n", "4 | val_metrics | MetricCollection | 0 | train\n", "5 | res_blocks | ModuleList | 166 | train\n", "-------------------------------------------------------------\n", "166 Trainable params\n", "0 Non-trainable params\n", "166 Total params\n", "0.001 Total estimated model params size (MB)\n", "23 Modules in train mode\n", "0 Modules in eval mode\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "1a65ec75f0184b159e839857423f978c", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Training: | | 0/? [00:00> 1`. This will sample from predicted distribution." ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "GPU available: True (mps), used: False\n", "TPU available: False, using: 0 TPU cores\n", "HPU available: False, using: 0 HPUs\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "35931612a9314c43ab178450c2fddd83", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Predicting: | | 0/? [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pred = model.predict(n=36, num_samples=500)\n", "\n", "# scale back:\n", "pred = scaler.inverse_transform(pred, series_idx=0)\n", "\n", "series_air.plot()\n", "pred.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Direct Parameter Predicitons\n", "\n", "The great thing about our likelihoods is that instead of sampling from the distribution/quantiles, we can directly predict the distribution/quantile parameters.\n", "For this, we only have to set `predict_likelihood_parameters=True`.\n", "\n", "Below we get the predicted location (mu) and scale (b) of the laplace distribution (in the scaled space between 0 and 1)." ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "GPU available: True (mps), used: False\n", "TPU available: False, using: 0 TPU cores\n", "HPU available: False, using: 0 HPUs\n", "/Users/dennisbader/miniconda3/envs/darts/lib/python3.10/site-packages/pytorch_lightning/trainer/setup.py:177: GPU available but not used. You can set it by doing `Trainer(accelerator='gpu')`.\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "55dd72c2d708488997439aa7fd11ce3b", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Predicting: | | 0/? [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pred = model.predict(n=12, predict_likelihood_parameters=True)\n", "\n", "train_air_scaled.plot()\n", "pred.plot(label=\"laplace_dist\");" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Furthermore, we could also for instance specify that we have some prior belief that the scale of the distribution is about $0.1$ (in the transformed domain), while still capturing some time dependency of the distribution, by specifying `prior_b=.1`.\n", "\n", "Behind the scenes this will regularize the training loss with a Kullback-Leibler divergence term." ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "GPU available: True (mps), used: False\n", "TPU available: False, using: 0 TPU cores\n", "HPU available: False, using: 0 HPUs\n", "/Users/dennisbader/miniconda3/envs/darts/lib/python3.10/site-packages/pytorch_lightning/trainer/setup.py:177: GPU available but not used. You can set it by doing `Trainer(accelerator='gpu')`.\n", "\n", " | Name | Type | Params | Mode \n", "-------------------------------------------------------------\n", "0 | criterion | MSELoss | 0 | train\n", "1 | train_criterion | MSELoss | 0 | train\n", "2 | val_criterion | MSELoss | 0 | train\n", "3 | train_metrics | MetricCollection | 0 | train\n", "4 | val_metrics | MetricCollection | 0 | train\n", "5 | res_blocks | ModuleList | 166 | train\n", "-------------------------------------------------------------\n", "166 Trainable params\n", "0 Non-trainable params\n", "166 Total params\n", "0.001 Total estimated model params size (MB)\n", "23 Modules in train mode\n", "0 Modules in eval mode\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "19e013d7552a46d094f4f9d8aafbf78c", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Training: | | 0/? [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pred = model.predict(n=36, num_samples=500)\n", "\n", "# scale back:\n", "pred = scaler.inverse_transform(pred, series_idx=0)\n", "\n", "series_air.plot()\n", "pred.plot();" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "By default `TimeSeries.plot()` shows the median as well as the 5th and 95th percentiles (of the marginal distributions, if the `TimeSeries` is multivariate). It is possible to control this:" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pred.plot(low_quantile=0.01, high_quantile=0.99, label=\"1-99th percentiles\")\n", "pred.plot(low_quantile=0.2, high_quantile=0.8, label=\"20-80th percentiles\");" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Types of distributions\n", "The likelihood has to be compatible with the domain of your time series' values. For instance [PoissonLikelihood](https://unit8co.github.io/darts/generated_api/darts.utils.likelihood_models.torch.html#darts.utils.likelihood_models.torch.PoissonLikelihood) can be used on discrete positive values, [ExponentialLikelihood](https://unit8co.github.io/darts/generated_api/darts.utils.likelihood_models.torch.html#darts.utils.likelihood_models.torch.ExponentialLikelihood) can be used on real positive values, and [BetaLikelihood](https://unit8co.github.io/darts/generated_api/darts.utils.likelihood_models.torch.html#darts.utils.likelihood_models.torch.BetaLikelihood) on real values in $(0,1)$.\n", "\n", "It is also possible to use [QuantileRegression](https://unit8co.github.io/darts/generated_api/darts.utils.likelihood_models.torch.html#darts.utils.likelihood_models.torch.QuantileRegression) to apply a quantile loss and fit some desired quantiles directly.\n", "\n", "### Evaluating Probabilistic Forecasts\n", "How can we evaluate the quality of probabilistic forecasts? By default, most metrics functions (such as `mape()`) will keep working but look only at the median forecast. It is also possible to use the Mean Quantile Loss metric `mql()`, which quantifies the error for each predicted quantiles. For quantile=0.5 (the median), it is identical to the Mean Absolute Error (MAE):" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MAPE of median forecast: 12.14\n", "MAE of median forecast: 51.64\n", "quantile loss at quantile 0.05: 5.33\n", "quantile loss at quantile 0.10: 13.14\n", "quantile loss at quantile 0.50: 51.64\n", "quantile loss at quantile 0.90: 20.74\n", "quantile loss at quantile 0.95: 12.20\n" ] } ], "source": [ "from darts.metrics import mae, mql\n", "\n", "print(f\"MAPE of median forecast: {mape(series_air, pred):.2f}\")\n", "print(f\"MAE of median forecast: {mae(series_air, pred):.2f}\")\n", "for q in [0.05, 0.1, 0.5, 0.9, 0.95]:\n", " q_loss = mql(series_air, pred, q=q)\n", " print(f\"quantile loss at quantile {q:.2f}: {q_loss:.2f}\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Using Quantile Loss\n", "\n", "Could we do better by fitting these quantiles directly? We can just use a `QuantileRegression` likelihood:" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "GPU available: True (mps), used: True\n", "TPU available: False, using: 0 TPU cores\n", "HPU available: False, using: 0 HPUs\n", "\n", " | Name | Type | Params | Mode \n", "-------------------------------------------------------------\n", "0 | criterion | MSELoss | 0 | train\n", "1 | train_criterion | MSELoss | 0 | train\n", "2 | val_criterion | MSELoss | 0 | train\n", "3 | train_metrics | MetricCollection | 0 | train\n", "4 | val_metrics | MetricCollection | 0 | train\n", "5 | res_blocks | ModuleList | 208 | train\n", "-------------------------------------------------------------\n", "208 Trainable params\n", "0 Non-trainable params\n", "208 Total params\n", "0.001 Total estimated model params size (MB)\n", "23 Modules in train mode\n", "0 Modules in eval mode\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "4dc4a12c3348413cb581a1648833f7ab", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Training: | | 0/? [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pred = model.predict(n=36, num_samples=500)\n", "\n", "# scale back:\n", "pred = scaler.inverse_transform(pred, series_idx=0)\n", "\n", "series_air.plot()\n", "pred.plot()\n", "\n", "print(f\"MAPE of median forecast: {mape(series_air, pred):.2f}\")\n", "for q in [0.05, 0.1, 0.5, 0.9, 0.95]:\n", " q_loss = mql(series_air, pred, q=q)\n", " print(f\"quantile loss at quantile {q:.2f}: {q_loss:.2f}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## With Regression Models\n", "\n", "Probailistic support for our `SKLearnModels` is similiar to that of the neural networks. We have to specify a `likelihood` at model creation.\n", "Instead of giving a likelihood object, we can simply pick one of `\"quantile\"` (with some `quantiles`) and `\"poisson\"`." ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MAPE of median forecast: 8.52\n", "quantile loss at quantile 0.05: 20.76\n", "quantile loss at quantile 0.10: 25.44\n", "quantile loss at quantile 0.50: 35.33\n", "quantile loss at quantile 0.90: 11.15\n", "quantile loss at quantile 0.95: 6.19\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model = LinearRegressionModel(\n", " lags=24,\n", " lags_future_covariates=[0],\n", " likelihood=\"quantile\",\n", " quantiles=[0.05, 0.1, 0.5, 0.9, 0.95],\n", ")\n", "model.fit(train_air, future_covariates=air_covs)\n", "pred = model.predict(n=36, num_samples=500)\n", "\n", "series_air.plot()\n", "pred.plot()\n", "\n", "print(f\"MAPE of median forecast: {mape(series_air, pred):.2f}\")\n", "for q in [0.05, 0.1, 0.5, 0.9, 0.95]:\n", " q_loss = mql(series_air, pred, q=q)\n", " print(f\"quantile loss at quantile {q:.2f}: {q_loss:.2f}\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Ensembling models\n", "*Ensembling* is about combining the forecasts produced by several models, in order to obtain a final - and hopefully better forecast.\n", "\n", "For instance, in our example of a [less naive model above](#A-less-naive-model), we manually combined a naive seasonal model with a naive drift model. Here, we will show how model forecasts can be automatically combined - naively using a `NaiveEnsembleModel`, or learned using `RegressionEnsembleModel`.\n", "\n", "It is of course also possible to use `past` and/or `future_covariates` with ensemble model but they will be passed only to the forecasting models supporting them." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Naive Ensembling\n", "\n", "Naive ensembling just takes the average of the forecasts from several models. Darts `NaiveEnsembleModel` does exactly that and all through the same API as the forecasting models (fit, predict, historical forecasts, backtesting, ...)." ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "7a16da145e944050b22bee4d562e970e", "version_major": 2, "version_minor": 0 }, "text/plain": [ "historical forecasts: 0%| | 0/58 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from darts.models import NaiveEnsembleModel\n", "\n", "models = [NaiveDrift(), NaiveSeasonal(12)]\n", "\n", "ensemble_model = NaiveEnsembleModel(forecasting_models=models)\n", "\n", "backtest = ensemble_model.historical_forecasts(**hfc_params)\n", "\n", "print(f\"MAPE = {mape(backtest, series_air):.2f}%\")\n", "series_air.plot()\n", "backtest.plot();" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Learned Ensembling\n", "\n", "As expected in this case, the naive ensemble doesn't give great results (although in some cases it could!)\n", "\n", "We can sometimes do better if we see the ensembling as a supervised regression problem: given a set of forecasts (features), find a model that combines them in order to minimise errors on the target.\n", "This is what the `RegressionEnsembleModel` does. It accepts parameters:\n", "\n", "* `forecasting_models` is a list of forecasting models whose predictions we want to ensemble.\n", "* `regression_train_n_points` is the number of time steps to use for fitting the \"ensemble regression\" model (i.e., the inner model that combines the forecasts).\n", "* `regression_model` is, optionally, a sklearn-compatible regression model or a Darts `SKLearnModel` to be used for the ensemble regression. If not specified, a linear regression is used. Using a sklearn model is easy out-of-the-box, but using a `SKLearnModel` allows to potentially take arbitrary lags of the individual forecasts as inputs of the regression model.\n", "* and for more, read our this [user guide on ensembling models](https://unit8co.github.io/darts/examples/19-EnsembleModel-examples.html).\n", "\n", "Once these elements are in place, a `RegressionEnsembleModel` can be used like a regular forecasting model:" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "2fa4d43107ed45e8861ee24244d5c761", "version_major": 2, "version_minor": 0 }, "text/plain": [ "historical forecasts: 0%| | 0/58 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from darts.models import RegressionEnsembleModel\n", "\n", "ensemble_model = RegressionEnsembleModel(\n", " forecasting_models=models, regression_train_n_points=12\n", ")\n", "\n", "backtest = ensemble_model.historical_forecasts(**hfc_params)\n", "\n", "print(f\"MAPE = {mape(backtest, series_air):.2f}\")\n", "series_air.plot()\n", "backtest.plot();" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can also inspect the coefficients used to weigh the two inner models in the linear combination:" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.01368814, 1.0980107 ], dtype=float32)" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ensemble_model.fit(series_air)\n", "ensemble_model.ensemble_model.model.coef_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ensemble models can also be probabilistic themselves! You can read about it in [our guide on ensembling models](https://unit8co.github.io/darts/examples/19-EnsembleModel-examples.html#)." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "`RegressionEnsembleModel` uses the *stacking* technique to train and combine the `forecasting_models`: each one of them is trained independently and the `regression_model` is then trained using their predictions as `future_covariates`." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Filtering models\n", "In addition to *forecasting* models, which are able to predict future values of series, Darts also contains a couple of helpful *filtering* models, which can model \"in sample\" series' values distributions.\n", "\n", "## Fitting a Kalman Filter\n", "`KalmanFilter` implements a [Kalman Filter](https://unit8co.github.io/darts/generated_api/darts.models.filtering.kalman_filter.html). The implementation relies on [nfoursid](https://nfoursid.readthedocs.io/en/latest/source/kalman.html), so it is for instance possible to provide a `nfoursid.kalman.Kalman` object containing a transition matrix, process noise covariance, observation noise covariance etc.\n", "\n", "It is also possible to do system identification by calling `fit()` to \"train\" the Kalman Filter using the N4SID system identification algorithm:" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from darts.models import KalmanFilter\n", "\n", "kf = KalmanFilter(dim_x=3)\n", "kf.fit(train_air_scaled)\n", "filtered_series = kf.filter(train_air_scaled, num_samples=100)\n", "\n", "train_air_scaled.plot()\n", "filtered_series.plot();" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Inferring missing values with Gaussian Processes\n", "\n", "Darts also contains a `GaussianProcessFilter` which can be used for probabilistic modeling of series:" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.gaussian_process.kernels import RBF\n", "\n", "from darts.models import GaussianProcessFilter\n", "\n", "# create a series with holes:\n", "values = train_air_scaled.values()\n", "values[20:22] = np.nan\n", "values[28:32] = np.nan\n", "values[55:59] = np.nan\n", "values[72:80] = np.nan\n", "series_holes = TimeSeries.from_times_and_values(train_air_scaled.time_index, values)\n", "series_holes.plot()\n", "\n", "kernel = RBF()\n", "\n", "gpf = GaussianProcessFilter(kernel=kernel, alpha=0.1, normalize_y=True)\n", "filtered_series = gpf.filter(series_holes, num_samples=100)\n", "\n", "filtered_series.plot();" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# A Word of Caution\n", "So is N-BEATS, exponential smoothing, or a Bayesian ridge regression trained on milk production the best approach for predicting the future number of airline passengers? Well, at this point it's actually hard to say exactly which one is best. Our time series is small, and our validation set is even smaller. In such cases, it's very easy to overfit the whole forecasting exercise to such a small validation set. That's especially true if the number of available models and their degrees of freedom is high (such as for deep learning models), or if we played with many models on a single test set (as done in this notebook). \n", "\n", "As data scientists, it is our responsibility to understand the extent to which our models can be trusted. So always take results with a grain of salt, especially on small datasets, and apply the scientific method before making any kind of forecast :) Happy modeling!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Anomaly Detection\n", "\n", "Darts also has an entire module on Time Series Anomaly Detection. For more info, read our [user guide on anomaly detection](https://unit8co.github.io/darts/examples/22-anomaly-detection-examples.html)." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "interpreter": { "hash": "f4869ab21c96bf74d997d96f31e1fe34ff80d6a0fad585152839d8f90c7b1199" }, "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": "3.10.16" }, "pycharm": { "stem_cell": { "cell_type": "raw", "metadata": { "collapsed": false }, "source": [] } }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": { "0061d5e970174e1f8fcb470236367337": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "HTMLStyleModel", 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