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{
"cell_type": "markdown",
"id": "14f5686c-449b-4376-8c58-fc8141f4b0f8",
"metadata": {},
"source": [
"# Statistical, Machine Learning and Neural Forecasting methods\n",
"> In this notebook, you will make forecasts for the M5 dataset choosing the best model for each time series using cross validation."
]
},
{
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"id": "f36eb23c-110c-47f6-bc2c-bb2c5e224ab4",
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"\n",
"Statistical, Machine Learning, and Neural Forecasting Methods\n",
"In this tutorial, we will explore the process of forecasting on the M5 dataset by utilizing the most suitable model for each time series. We'll accomplish this through an essential technique known as cross-validation. This approach helps us in estimating the predictive performance of our models, and in selecting the model that yields the best performance for each time series.\n",
"\n",
"The M5 dataset comprises of hierarchical sales data, spanning five years, from Walmart. The aim is to forecast daily sales for the next 28 days. The dataset is broken down into the 50 states of America, with 10 stores in each state."
]
},
{
"cell_type": "markdown",
"id": "775c9447-1248-43f1-ade0-7903e8bd3ce3",
"metadata": {},
"source": [
"In the realm of time series forecasting and analysis, one of the more complex tasks is identifying the model that is optimally suited for a specific group of series. Quite often, this selection process leans heavily on intuition, which may not necessarily align with the empirical reality of our dataset.\n",
"\n",
"In this tutorial, we aim to provide a more structured, data-driven approach to model selection for different groups of series within the M5 benchmark dataset. This dataset, well-known in the field of forecasting, allows us to showcase the versatility and power of our methodology.\n",
"\n",
"We will train an assortment of models from various forecasting paradigms:\n",
"\n",
"*[StatsForecast]((https://github.com/Nixtla/statsforecast))*\n",
"\n",
"- Baseline models: These models are simple yet often highly effective for providing an initial perspective on the forecasting problem. We will use `SeasonalNaive` and `HistoricAverage` models for this category.\n",
"- Intermittent models: For series with sporadic, non-continuous demand, we will utilize models like `CrostonOptimized`, `IMAPA`, and `ADIDA`. These models are particularly suited for handling zero-inflated series.\n",
"- State Space Models: These are statistical models that use mathematical descriptions of a system to make predictions. The `AutoETS` model from the statsforecast library falls under this category.\n",
"\n",
"*[MLForecast](https://github.com/Nixtla/mlforecast)*\n",
"\n",
"Machine Learning: Leveraging ML models like `LightGBM`, `XGBoost`, and `LinearRegression` can be advantageous due to their capacity to uncover intricate patterns in data. We'll use the MLForecast library for this purpose.\n",
"\n",
"*[NeuralForecast](https://github.com/Nixtla/neuralforecast)*\n",
"\n",
"Deep Learning: DL models, such as Transformers (`AutoTFT`) and Neural Networks (`AutoNHITS`), allow us to handle complex non-linear dependencies in time series data. We'll utilize the NeuralForecast library for these models.\n",
"\n",
"Using the Nixtla suite of libraries, we'll be able to drive our model selection process with data, ensuring we utilize the most suitable models for specific groups of series in our dataset."
]
},
{
"cell_type": "markdown",
"id": "3fcc6b47-4624-4ec7-881a-89e7bf1f3a18",
"metadata": {},
"source": [
"Outline:\n",
"\n",
"* Reading Data: In this initial step, we load our dataset into memory, making it available for our subsequent analysis and forecasting. It is important to understand the structure and nuances of the dataset at this stage.\n",
"\n",
"* Forecasting Using Statistical and Deep Learning Methods: We apply a wide range of forecasting methods from basic statistical techniques to advanced deep learning models. The aim is to generate predictions for the next 28 days based on our dataset.\n",
"\n",
"* Model Performance Evaluation on Different Windows: We assess the performance of our models on distinct windows.\n",
"\n",
"* Selecting the Best Model for a Group of Series: Using the performance evaluation, we identify the optimal model for each group of series. This step ensures that the chosen model is tailored to the unique characteristics of each group.\n",
"\n",
"* Filtering the Best Possible Forecast: Finally, we filter the forecasts generated by our chosen models to obtain the most promising predictions. This is our final output and represents the best possible forecast for each series according to our models."
]
},
{
"cell_type": "markdown",
"id": "b396eece-b552-475a-ad11-9b69dbb47b87",
"metadata": {},
"source": [
"::: {.callout-warning collapse=\"false\"}\n",
"This tutorial was originally executed using a `c5d.24xlarge` EC2 instance.\n",
":::"
]
},
{
"cell_type": "markdown",
"id": "4041a403-0832-42a0-bf4c-976d42051498",
"metadata": {},
"source": [
"## Installing Libraries"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "40ca2a7b-ff16-4ada-aaa5-b5146770ec9d",
"metadata": {},
"outputs": [],
"source": [
"%%capture\n",
"!pip install statsforecast mlforecast neuralforecast datasetforecast s3fs pyarrow"
]
},
{
"cell_type": "markdown",
"id": "8c8fa3bf-ed6f-4a2a-a6fc-d1fd14dba8c1",
"metadata": {},
"source": [
"## Download and prepare data"
]
},
{
"cell_type": "markdown",
"id": "2c704b76-79f6-4122-912d-07c52fa8df71",
"metadata": {},
"source": [
"The example uses the [M5 dataset](https://github.com/Mcompetitions/M5-methods/blob/master/M5-Competitors-Guide.pdf). It consists of `30,490` bottom time series. "
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "2edce364-4709-4c06-a001-9234bba09568",
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "53f05990-09f5-43a6-a6a1-522f783494db",
"metadata": {},
"outputs": [],
"source": [
"# Load the training target dataset from the provided URL\n",
"Y_df = pd.read_parquet('https://m5-benchmarks.s3.amazonaws.com/data/train/target.parquet')\n",
"\n",
"# Rename columns to match the Nixtlaverse's expectations\n",
"# The 'item_id' becomes 'unique_id' representing the unique identifier of the time series\n",
"# The 'timestamp' becomes 'ds' representing the time stamp of the data points\n",
"# The 'demand' becomes 'y' representing the target variable we want to forecast\n",
"Y_df = Y_df.rename(columns={\n",
" 'item_id': 'unique_id', \n",
" 'timestamp': 'ds', \n",
" 'demand': 'y'\n",
"})\n",
"\n",
"# Convert the 'ds' column to datetime format to ensure proper handling of date-related operations in subsequent steps\n",
"Y_df['ds'] = pd.to_datetime(Y_df['ds'])\n"
]
},
{
"cell_type": "markdown",
"id": "7a6f1a46-19f7-4cf9-b7a4-f05362448917",
"metadata": {},
"source": [
"For simplicity sake we will keep just one category"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "6f7e1dbf-f0b5-43b5-be67-cd0bbe826db3",
"metadata": {},
"outputs": [],
"source": [
"Y_df = Y_df.query('unique_id.str.startswith(\"FOODS_3\")').reset_index(drop=True)\n",
"\n",
"Y_df['unique_id'] = Y_df['unique_id'].astype(str)"
]
},
{
"cell_type": "markdown",
"id": "52245d26-31e3-4243-bfc4-ccc6da823431",
"metadata": {},
"source": [
"# Basic Plotting"
]
},
{
"cell_type": "markdown",
"id": "00381fb4-558b-464c-9246-d95d4d3ec6f0",
"metadata": {},
"source": [
"Plot some series using the plot method from the `StatsForecast` class. This method prints 8 random series from the dataset and is useful for basic [EDA](https://nixtla.github.io/statsforecast/core.html#statsforecast.plot).\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "e50e9753-0a32-47c7-9fad-54ec61f29e0a",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/ubuntu/statsforecast/statsforecast/core.py:23: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n",
" from tqdm.autonotebook import tqdm\n"
]
}
],
"source": [
"from statsforecast import StatsForecast"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "540f93ec-52fe-4b31-98c0-52d2a9c851bf",
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"source": [
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"StatsForecast.plot(Y_df)"
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},
{
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"scene": {
"xaxis": {
"backgroundcolor": "white",
"gridcolor": "#DFE8F3",
"gridwidth": 2,
"linecolor": "#EBF0F8",
"showbackground": true,
"ticks": "",
"zerolinecolor": "#EBF0F8"
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"yaxis": {
"backgroundcolor": "white",
"gridcolor": "#DFE8F3",
"gridwidth": 2,
"linecolor": "#EBF0F8",
"showbackground": true,
"ticks": "",
"zerolinecolor": "#EBF0F8"
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"zaxis": {
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"gridcolor": "#DFE8F3",
"gridwidth": 2,
"linecolor": "#EBF0F8",
"showbackground": true,
"ticks": "",
"zerolinecolor": "#EBF0F8"
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},
"shapedefaults": {
"line": {
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},
"ternary": {
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"gridcolor": "#DFE8F3",
"linecolor": "#A2B1C6",
"ticks": ""
},
"baxis": {
"gridcolor": "#DFE8F3",
"linecolor": "#A2B1C6",
"ticks": ""
},
"bgcolor": "white",
"caxis": {
"gridcolor": "#DFE8F3",
"linecolor": "#A2B1C6",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "#EBF0F8",
"linecolor": "#EBF0F8",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "#EBF0F8",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "#EBF0F8",
"linecolor": "#EBF0F8",
"ticks": "",
"title": {
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"zerolinecolor": "#EBF0F8",
"zerolinewidth": 2
}
}
},
"xaxis": {
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"autorange": true,
"domain": [
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"range": [
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"showticklabels": true,
"type": "date",
"visible": true
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
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}
},
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Feature: plot groups of series for EDA\n",
"StatsForecast.plot(Y_df, unique_ids=[\"FOODS_3_432_TX_2\"])"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "733af387-5e70-477e-a5a6-4c6f77828b3d",
"metadata": {},
"outputs": [
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",
"text/plain": [
""
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Feature: plot groups of series for EDA\n",
"StatsForecast.plot(Y_df, unique_ids=[\"FOODS_3_432_TX_2\"], engine ='matplotlib')"
]
},
{
"cell_type": "markdown",
"id": "e2a40ff8-fce8-4e67-9d0b-ea78b72744d7",
"metadata": {},
"source": [
"# Create forecasts with Stats, Ml and Neural methods."
]
},
{
"cell_type": "markdown",
"id": "8c126ec1-cabb-4963-9427-7e4c98740e47",
"metadata": {},
"source": [
"## StatsForecast"
]
},
{
"cell_type": "markdown",
"id": "129f0abe-f405-473f-b06d-dea529cffb56",
"metadata": {},
"source": [
"`StatsForecast` is a comprehensive library providing a suite of popular univariate time series forecasting models, all designed with a focus on high performance and scalability.\n",
"\n",
"Here's what makes StatsForecast a powerful tool for time series forecasting:\n",
"\n",
"- **Collection of Local Models**: StatsForecast provides a diverse collection of local models that can be applied to each time series individually, allowing us to capture unique patterns within each series.\n",
"\n",
"- **Simplicity**: With StatsForecast, training, forecasting, and backtesting multiple models become a straightforward process, requiring only a few lines of code. This simplicity makes it a convenient tool for both beginners and experienced practitioners.\n",
"\n",
"- **Optimized for Speed**: The implementation of the models in StatsForecast is optimized for speed, ensuring that large-scale computations are performed efficiently, thereby reducing the overall time for model training and prediction.\n",
"\n",
"- **Horizontal Scalability**: One of the distinguishing features of StatsForecast is its ability to scale horizontally. It is compatible with distributed computing frameworks such as Spark, Dask, and Ray. This feature allows it to handle large datasets by distributing the computations across multiple nodes in a cluster, making it a go-to solution for large-scale time series forecasting tasks."
]
},
{
"cell_type": "markdown",
"id": "944aed25-a9ac-4b41-8049-b0331574279f",
"metadata": {},
"source": [
"`StatsForecast` receives a list of models to fit each time series. Since we are dealing with Daily data, it would be benefitial to use 7 as seasonality."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "f270278d-e351-4445-8462-7ab6e3eef9e5",
"metadata": {},
"outputs": [],
"source": [
"# Import necessary models from the statsforecast library\n",
"from statsforecast.models import (\n",
" # SeasonalNaive: A model that uses the previous season's data as the forecast\n",
" SeasonalNaive,\n",
" # Naive: A simple model that uses the last observed value as the forecast\n",
" Naive,\n",
" # HistoricAverage: This model uses the average of all historical data as the forecast\n",
" HistoricAverage,\n",
" # CrostonOptimized: A model specifically designed for intermittent demand forecasting\n",
" CrostonOptimized,\n",
" # ADIDA: Adaptive combination of Intermittent Demand Approaches, a model designed for intermittent demand\n",
" ADIDA,\n",
" # IMAPA: Intermittent Multiplicative AutoRegressive Average, a model for intermittent series that incorporates autocorrelation\n",
" IMAPA,\n",
" # AutoETS: Automated Exponential Smoothing model that automatically selects the best Exponential Smoothing model based on AIC\n",
" AutoETS\n",
")\n"
]
},
{
"cell_type": "markdown",
"id": "26ae7c2d-fd86-4eef-aeb7-9a70dd41b24d",
"metadata": {},
"source": [
"We fit the models by instantiating a new StatsForecast object with the following parameters:\n",
"\n",
"- `models`: a list of models. Select the models you want from models and import them.\n",
"- `freq`: a string indicating the frequency of the data. (See panda’s available frequencies.)\n",
"- `n_jobs`: int, number of jobs used in the parallel processing, use -1 for all cores.\n",
"- `fallback_model`: a model to be used if a model fails.\n",
"Any settings are passed into the constructor. Then you call its fit method and pass in the historical data frame."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "ad0b66a7-4b96-4cb6-a220-45f45d7bb7b6",
"metadata": {},
"outputs": [],
"source": [
"horizon = 28\n",
"models = [\n",
" SeasonalNaive(season_length=7),\n",
" Naive(),\n",
" HistoricAverage(),\n",
" CrostonOptimized(),\n",
" ADIDA(),\n",
" IMAPA(),\n",
" AutoETS(season_length=7)\n",
"]"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "8f9d7cd2-a791-45ff-8c04-5e8eef01b6a0",
"metadata": {},
"outputs": [],
"source": [
"# Instantiate the StatsForecast class\n",
"sf = StatsForecast(\n",
" models=models, # A list of models to be used for forecasting\n",
" freq='D', # The frequency of the time series data (in this case, 'D' stands for daily frequency)\n",
" n_jobs=-1, # The number of CPU cores to use for parallel execution (-1 means use all available cores)\n",
")\n"
]
},
{
"cell_type": "markdown",
"id": "04d37ee7-a374-450e-82bc-634d1a8ab39e",
"metadata": {},
"source": [
"The forecast method takes two arguments: forecasts next h (horizon) and level.\n",
"\n",
"- `h` (int): represents the forecast h steps into the future. In this case, 12 months ahead.\n",
"- `level` (list of floats): this optional parameter is used for probabilistic forecasting. Set the level (or confidence percentile) of your prediction interval. For example, level=[90] means that the model expects the real value to be inside that interval 90% of the times.\n",
"\n",
"The forecast object here is a new data frame that includes a column with the name of the model and the y hat values, as well as columns for the uncertainty intervals."
]
},
{
"cell_type": "markdown",
"id": "58578c6a-319d-433c-bef4-d62904eb66c2",
"metadata": {},
"source": [
"This block of code times how long it takes to run the forecasting function of the StatsForecast class, which predicts the next 28 days (h=28). The level is set to [90], meaning it will compute the 90% prediction interval. The time is calculated in minutes and printed out at the end."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "d6a3b5c2-b2a5-4441-a7df-7c9ee9fab4fc",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Forecast Minutes: 2.270755163828532\n"
]
}
],
"source": [
"from time import time\n",
"\n",
"# Get the current time before forecasting starts, this will be used to measure the execution time\n",
"init = time()\n",
"\n",
"# Call the forecast method of the StatsForecast instance to predict the next 28 days (h=28) \n",
"# Level is set to [90], which means that it will compute the 90% prediction interval\n",
"fcst_df = sf.forecast(df=Y_df, h=28, level=[90])\n",
"\n",
"# Get the current time after the forecasting ends\n",
"end = time()\n",
"\n",
"# Calculate and print the total time taken for the forecasting in minutes\n",
"print(f'Forecast Minutes: {(end - init) / 60}')\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "9cac7f78-2ba9-46f1-a1b1-40a3d6c4b3a3",
"metadata": {},
"outputs": [
{
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" ds SeasonalNaive SeasonalNaive-lo-90 \\\n",
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"unique_id \n",
"FOODS_3_001_CA_1 4.847174 2.0 0.098363 3.901637 \n",
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"FOODS_3_001_CA_1 0.448738 -1.009579 \n",
"FOODS_3_001_CA_1 0.448738 -1.009579 \n",
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"\n",
" AutoETS AutoETS-lo-90 AutoETS-hi-90 \n",
"unique_id \n",
"FOODS_3_001_CA_1 0.381414 -1.028122 1.790950 \n",
"FOODS_3_001_CA_1 0.286933 -1.124136 1.698003 \n",
"FOODS_3_001_CA_1 0.334987 -1.077614 1.747588 \n",
"FOODS_3_001_CA_1 0.186851 -1.227280 1.600982 \n",
"FOODS_3_001_CA_1 0.308112 -1.107548 1.723771 "
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fcst_df.head()"
]
},
{
"cell_type": "markdown",
"id": "fb8e1602-dc44-4223-9eeb-79d7a778e483",
"metadata": {},
"source": [
"## MLForecast"
]
},
{
"cell_type": "markdown",
"id": "bf6127e0-093d-45b4-8425-883dffb2760d",
"metadata": {},
"source": [
"`MLForecast` is a powerful library that provides automated feature creation for time series forecasting, facilitating the use of global machine learning models. It is designed for high performance and scalability.\n",
"\n",
"Key features of MLForecast include:\n",
"\n",
"* **Support for sklearn models**: MLForecast is compatible with models that follow the scikit-learn API. This makes it highly flexible and allows it to seamlessly integrate with a wide variety of machine learning algorithms.\n",
"\n",
"* **Simplicity**: With MLForecast, the tasks of training, forecasting, and backtesting models can be accomplished in just a few lines of code. This streamlined simplicity makes it user-friendly for practitioners at all levels of expertise.\n",
"\n",
"* **Optimized for speed:** MLForecast is engineered to execute tasks rapidly, which is crucial when handling large datasets and complex models.\n",
"\n",
"* **Horizontal Scalability:** MLForecast is capable of horizontal scaling using distributed computing frameworks such as Spark, Dask, and Ray. This feature enables it to efficiently process massive datasets by distributing the computations across multiple nodes in a cluster, making it ideal for large-scale time series forecasting tasks."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "64004602-9d73-4675-a44a-23f3afb55ca1",
"metadata": {},
"outputs": [],
"source": [
"from mlforecast import MLForecast\n",
"from mlforecast.target_transforms import Differences\n",
"from mlforecast.utils import PredictionIntervals\n",
"from window_ops.expanding import expanding_mean"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "918b50d6-bf2f-4835-9bcf-412c1722c2de",
"metadata": {},
"outputs": [],
"source": [
"%%capture\n",
"!pip install lightgbm xgboost"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "6819fb98-7843-4c29-8b41-4e2e2f8e3d42",
"metadata": {},
"outputs": [],
"source": [
"# Import the necessary models from various libraries\n",
"\n",
"# LGBMRegressor: A gradient boosting framework that uses tree-based learning algorithms from the LightGBM library\n",
"from lightgbm import LGBMRegressor\n",
"\n",
"# XGBRegressor: A gradient boosting regressor model from the XGBoost library\n",
"from xgboost import XGBRegressor\n",
"\n",
"# LinearRegression: A simple linear regression model from the scikit-learn library\n",
"from sklearn.linear_model import LinearRegression\n"
]
},
{
"cell_type": "markdown",
"id": "dddee356-0886-4bc5-adfc-bf46833d3daf",
"metadata": {},
"source": [
"To use `MLForecast` for time series forecasting, we instantiate a new `MLForecast` object and provide it with various parameters to tailor the modeling process to our specific needs:\n",
"\n",
"- `models`: This parameter accepts a list of machine learning models you wish to use for forecasting. You can import your preferred models from scikit-learn, lightgbm and xgboost.\n",
"\n",
"- `freq`: This is a string indicating the frequency of your data (hourly, daily, weekly, etc.). The specific format of this string should align with pandas' recognized frequency strings.\n",
"\n",
"- `target_transforms`: These are transformations applied to the target variable before model training and after model prediction. This can be useful when working with data that may benefit from transformations, such as log-transforms for highly skewed data.\n",
"\n",
"- `lags`: This parameter accepts specific lag values to be used as regressors. Lags represent how many steps back in time you want to look when creating features for your model. For example, if you want to use the previous day's data as a feature for predicting today's value, you would specify a lag of 1.\n",
"\n",
"- `lags_transforms`: These are specific transformations for each lag. This allows you to apply transformations to your lagged features.\n",
"\n",
"- `date_features`: This parameter specifies date-related features to be used as regressors. For instance, you might want to include the day of the week or the month as a feature in your model.\n",
"\n",
"- `num_threads`: This parameter controls the number of threads to use for parallelizing feature creation, helping to speed up this process when working with large datasets.\n",
"\n",
"All these settings are passed to the `MLForecast` constructor. Once the `MLForecast` object is initialized with these settings, we call its `fit` method and pass the historical data frame as the argument. The `fit` method trains the models on the provided historical data, readying them for future forecasting tasks.\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "6190370e-0cf9-4df8-8ed2-30571b8fa889",
"metadata": {},
"outputs": [],
"source": [
"# Instantiate the MLForecast object\n",
"mlf = MLForecast(\n",
" models=[LGBMRegressor(), XGBRegressor(), LinearRegression()], # List of models for forecasting: LightGBM, XGBoost and Linear Regression\n",
" freq='D', # Frequency of the data - 'D' for daily frequency\n",
" lags=list(range(1, 7)), # Specific lags to use as regressors: 1 to 6 days\n",
" lag_transforms = {\n",
" 1: [expanding_mean], # Apply expanding mean transformation to the lag of 1 day\n",
" },\n",
" date_features=['year', 'month', 'day', 'dayofweek', 'quarter', 'week'], # Date features to use as regressors\n",
")\n"
]
},
{
"cell_type": "markdown",
"id": "5a14d986-40df-4e49-9dc2-247b9c1e2f70",
"metadata": {},
"source": [
"Just call the `fit` models to train the select models. In this case we are generating conformal prediction intervals. "
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "703cc37a-9787-40c3-ab2b-c61fde609364",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"MLForecast Minutes: 2.2809854547182717\n"
]
}
],
"source": [
"# Start the timer to calculate the time taken for fitting the models\n",
"init = time()\n",
"\n",
"# Fit the MLForecast models to the data, with prediction intervals set using a window size of 28 days\n",
"mlf.fit(Y_df, prediction_intervals=PredictionIntervals(window_size=28))\n",
"\n",
"# Calculate the end time after fitting the models\n",
"end = time()\n",
"\n",
"# Print the time taken to fit the MLForecast models, in minutes\n",
"print(f'MLForecast Minutes: {(end - init) / 60}')\n"
]
},
{
"cell_type": "markdown",
"id": "530a82ac-be6d-427f-ae60-c5534bbaa713",
"metadata": {},
"source": [
"After that, just call `predict` to generate forecasts."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "3e6c65ae-2956-4b63-b86e-03afa60da702",
"metadata": {},
"outputs": [],
"source": [
"fcst_mlf_df = mlf.predict(28, level=[90])"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "b12c4e00-bab7-411c-9733-fab4c594016a",
"metadata": {},
"outputs": [
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" unique_id ds LGBMRegressor XGBRegressor LinearRegression \\\n",
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"execution_count": null,
"metadata": {},
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"fcst_mlf_df.head()"
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},
{
"cell_type": "markdown",
"id": "f2c67476-cc0c-4759-bfbd-fd83a6d94d42",
"metadata": {},
"source": [
"## NeuralForecast"
]
},
{
"cell_type": "markdown",
"id": "cb72e752-94e0-4359-be0f-1814d6313057",
"metadata": {},
"source": [
"`NeuralForecast` is a robust collection of neural forecasting models that focuses on usability and performance. It includes a variety of model architectures, from classic networks such as Multilayer Perceptrons (MLP) and Recurrent Neural Networks (RNN) to novel contributions like N-BEATS, N-HITS, Temporal Fusion Transformers (TFT), and more.\n",
"\n",
"Key features of `NeuralForecast` include:\n",
"\n",
"- A broad collection of global models. Out of the box implementation of MLP, LSTM, RNN, TCN, DilatedRNN, NBEATS, NHITS, ESRNN, TFT, Informer, PatchTST and HINT. \n",
"- A simple and intuitive interface that allows training, forecasting, and backtesting of various models in a few lines of code.\n",
"- Support for GPU acceleration to improve computational speed.\n"
]
},
{
"cell_type": "markdown",
"id": "1b629fd0-46e6-4ca5-ae15-f49eb17b4b2b",
"metadata": {},
"source": [
"This machine doesn't have GPU, but Google Colabs offers some for free. \n",
"\n",
"Using [Colab's GPU to train NeuralForecast](https://nixtla.github.io/neuralforecast/examples/intermittentdata.html).\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "7062e4bf-e29f-4e45-bf19-a0e19fa9968b",
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"# Read the results from Colab\n",
"fcst_nf_df = pd.read_parquet('https://m5-benchmarks.s3.amazonaws.com/data/forecast-nf.parquet')"
]
},
{
"cell_type": "code",
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"id": "d3043d20-eb94-41b8-96a9-8506772d2625",
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"# Merge the forecasts from StatsForecast and NeuralForecast\n",
"fcst_df = fcst_df.merge(fcst_nf_df, how='left', on=['unique_id', 'ds'])\n",
"\n",
"# Merge the forecasts from MLForecast into the combined forecast dataframe\n",
"fcst_df = fcst_df.merge(fcst_mlf_df, how='left', on=['unique_id', 'ds'])\n"
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"## Forecast plots"
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"sf.plot(Y_df, fcst_df, max_insample_length=28 * 3, \n",
" models=['CrostonOptimized', 'AutoNHITS', 'SeasonalNaive', 'LGBMRegressor'])"
]
},
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"id": "84a3ebeb-ad46-45cc-8d61-a7ba4302b975",
"metadata": {},
"source": [
"# Validate Model's Performance\n",
"\n",
"The three libraries - `StatsForecast`, `MLForecast`, and `NeuralForecast` - offer out-of-the-box cross-validation capabilities specifically designed for time series. This allows us to evaluate the model's performance using historical data to obtain an unbiased assessment of how well each model is likely to perform on unseen data.\n"
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},
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""
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"source": [
"## Cross Validation in StatsForecast"
]
},
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"The `cross_validation` method from the `StatsForecast` class accepts the following arguments:\n",
"\n",
"- `df`: A DataFrame representing the training data.\n",
"- `h` (int): The forecast horizon, represented as the number of steps into the future that we wish to predict. For example, if we're forecasting hourly data, `h=24` would represent a 24-hour forecast.\n",
"- `step_size` (int): The step size between each cross-validation window. This parameter determines how often we want to run the forecasting process.\n",
"- `n_windows` (int): The number of windows used for cross validation. This parameter defines how many past forecasting processes we want to evaluate.\n",
"\n",
"These parameters allow us to control the extent and granularity of our cross-validation process. By tuning these settings, we can balance between computational cost and the thoroughness of the cross-validation.\n"
]
},
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"id": "51184b72-c5aa-4e2d-a6a8-ae273f7139ea",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/ubuntu/statsforecast/statsforecast/ets.py:1041: RuntimeWarning:\n",
"\n",
"divide by zero encountered in double_scalars\n",
"\n"
]
},
{
"name": "stdout",
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"text": [
"CV Minutes: 5.206169327100118\n"
]
}
],
"source": [
"init = time()\n",
"cv_df = sf.cross_validation(df=Y_df, h=horizon, n_windows=3, step_size=horizon, level=[90])\n",
"end = time()\n",
"print(f'CV Minutes: {(end - init) / 60}')"
]
},
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"cell_type": "markdown",
"id": "c14d8e9b-8df6-473f-950b-ab0fbd68b99e",
"metadata": {},
"source": [
"The crossvaldation_df object is a new data frame that includes the following columns:\n",
"\n",
"- `unique_id` index: (If you dont like working with index just run forecasts_cv_df.resetindex())\n",
"- `ds`: datestamp or temporal index\n",
"- `cutoff`: the last datestamp or temporal index for the n_windows. If n_windows=1, then one unique cuttoff value, if n_windows=2 then two unique cutoff values.\n",
"- `y`: true value\n",
"- `\"model\"`: columns with the model’s name and fitted value."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "529745ec-50bd-4856-a538-9ecd526d6941",
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" 1.920036 \n",
" 0.618472 \n",
" 0.618375 \n",
" 0.617998 \n",
" 0.655286 \n",
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" 2.076302 \n",
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" 0.618472 \n",
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" 0.617998 \n",
" 0.568595 \n",
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" 1.991155 \n",
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" 1.920036 \n",
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" 0.618375 \n",
" 0.617998 \n",
" 0.618805 \n",
" -0.805298 \n",
" 2.042908 \n",
" \n",
" \n",
" FOODS_3_001_CA_1 \n",
" 2016-03-03 \n",
" 2016-02-28 \n",
" 0.0 \n",
" 1.0 \n",
" -2.878885 \n",
" 4.878885 \n",
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" -0.969753 \n",
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" \n",
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" 2016-03-04 \n",
" 2016-02-28 \n",
" 0.0 \n",
" 1.0 \n",
" -2.878885 \n",
" 4.878885 \n",
" 0.0 \n",
" -4.286568 \n",
" 4.286568 \n",
" 0.449111 \n",
" -1.021813 \n",
" 1.920036 \n",
" 0.618472 \n",
" 0.618375 \n",
" 0.617998 \n",
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" -0.835987 \n",
" 2.018380 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" ds cutoff y SeasonalNaive \\\n",
"unique_id \n",
"FOODS_3_001_CA_1 2016-02-29 2016-02-28 0.0 2.0 \n",
"FOODS_3_001_CA_1 2016-03-01 2016-02-28 1.0 0.0 \n",
"FOODS_3_001_CA_1 2016-03-02 2016-02-28 1.0 0.0 \n",
"FOODS_3_001_CA_1 2016-03-03 2016-02-28 0.0 1.0 \n",
"FOODS_3_001_CA_1 2016-03-04 2016-02-28 0.0 1.0 \n",
"\n",
" SeasonalNaive-lo-90 SeasonalNaive-hi-90 Naive \\\n",
"unique_id \n",
"FOODS_3_001_CA_1 -1.878885 5.878885 0.0 \n",
"FOODS_3_001_CA_1 -3.878885 3.878885 0.0 \n",
"FOODS_3_001_CA_1 -3.878885 3.878885 0.0 \n",
"FOODS_3_001_CA_1 -2.878885 4.878885 0.0 \n",
"FOODS_3_001_CA_1 -2.878885 4.878885 0.0 \n",
"\n",
" Naive-lo-90 Naive-hi-90 HistoricAverage \\\n",
"unique_id \n",
"FOODS_3_001_CA_1 -1.917011 1.917011 0.449111 \n",
"FOODS_3_001_CA_1 -2.711064 2.711064 0.449111 \n",
"FOODS_3_001_CA_1 -3.320361 3.320361 0.449111 \n",
"FOODS_3_001_CA_1 -3.834023 3.834023 0.449111 \n",
"FOODS_3_001_CA_1 -4.286568 4.286568 0.449111 \n",
"\n",
" HistoricAverage-lo-90 HistoricAverage-hi-90 \\\n",
"unique_id \n",
"FOODS_3_001_CA_1 -1.021813 1.920036 \n",
"FOODS_3_001_CA_1 -1.021813 1.920036 \n",
"FOODS_3_001_CA_1 -1.021813 1.920036 \n",
"FOODS_3_001_CA_1 -1.021813 1.920036 \n",
"FOODS_3_001_CA_1 -1.021813 1.920036 \n",
"\n",
" CrostonOptimized ADIDA IMAPA AutoETS \\\n",
"unique_id \n",
"FOODS_3_001_CA_1 0.618472 0.618375 0.617998 0.655286 \n",
"FOODS_3_001_CA_1 0.618472 0.618375 0.617998 0.568595 \n",
"FOODS_3_001_CA_1 0.618472 0.618375 0.617998 0.618805 \n",
"FOODS_3_001_CA_1 0.618472 0.618375 0.617998 0.455891 \n",
"FOODS_3_001_CA_1 0.618472 0.618375 0.617998 0.591197 \n",
"\n",
" AutoETS-lo-90 AutoETS-hi-90 \n",
"unique_id \n",
"FOODS_3_001_CA_1 -0.765731 2.076302 \n",
"FOODS_3_001_CA_1 -0.853966 1.991155 \n",
"FOODS_3_001_CA_1 -0.805298 2.042908 \n",
"FOODS_3_001_CA_1 -0.969753 1.881534 \n",
"FOODS_3_001_CA_1 -0.835987 2.018380 "
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cv_df.head()"
]
},
{
"cell_type": "markdown",
"id": "ebd787f1-c76a-464a-a985-ee4f46abd374",
"metadata": {},
"source": [
"## MLForecast"
]
},
{
"cell_type": "markdown",
"id": "96b5e199-9755-4a8e-86a3-39d01cb24b64",
"metadata": {},
"source": [
"The `cross_validation` method from the `MLForecast` class takes the following arguments.\n",
"\n",
"- `data`: training data frame\n",
"- `window_size` (int): represents h steps into the future that are being forecasted. In this case, 24 hours ahead.\n",
"- `step_size` (int): step size between each window. In other words: how often do you want to run the forecasting processes.\n",
"- `n_windows` (int): number of windows used for cross-validation. In other words: what number of forecasting processes in the past do you want to evaluate.\n",
"- `prediction_intervals`: class to compute conformal intervals."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "4d42f506-1db4-4303-a551-7b6ab8a66698",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/ubuntu/miniconda/envs/statsforecast/lib/python3.10/site-packages/mlforecast/forecast.py:576: UserWarning:\n",
"\n",
"Excuting `cross_validation` after `fit` can produce unexpected errors\n",
"\n",
"/home/ubuntu/miniconda/envs/statsforecast/lib/python3.10/site-packages/mlforecast/forecast.py:468: UserWarning:\n",
"\n",
"Please rerun the `fit` method passing a proper value to prediction intervals to compute them.\n",
"\n",
"/home/ubuntu/miniconda/envs/statsforecast/lib/python3.10/site-packages/mlforecast/forecast.py:468: UserWarning:\n",
"\n",
"Please rerun the `fit` method passing a proper value to prediction intervals to compute them.\n",
"\n",
"/home/ubuntu/miniconda/envs/statsforecast/lib/python3.10/site-packages/mlforecast/forecast.py:468: UserWarning:\n",
"\n",
"Please rerun the `fit` method passing a proper value to prediction intervals to compute them.\n",
"\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"CV Minutes: 2.961174162228902\n"
]
}
],
"source": [
"init = time()\n",
"cv_mlf_df = mlf.cross_validation(\n",
" data=Y_df, \n",
" window_size=horizon, \n",
" n_windows=3, \n",
" step_size=horizon, \n",
" level=[90],\n",
")\n",
"end = time()\n",
"print(f'CV Minutes: {(end - init) / 60}')"
]
},
{
"cell_type": "markdown",
"id": "a7b5f0c5-b119-4e55-887d-6f2449822d76",
"metadata": {},
"source": [
"The crossvaldation_df object is a new data frame that includes the following columns:\n",
"\n",
"- `unique_id` index: (If you dont like working with index just run forecasts_cv_df.resetindex())\n",
"- `ds`: datestamp or temporal index\n",
"- `cutoff`: the last datestamp or temporal index for the n_windows. If n_windows=1, then one unique cuttoff value, if n_windows=2 then two unique cutoff values.\n",
"- `y`: true value\n",
"- `\"model\"`: columns with the model’s name and fitted value."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "abba6a6e-2f93-4115-876d-ed458143fea1",
"metadata": {},
"outputs": [
{
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" unique_id ds cutoff y LGBMRegressor XGBRegressor \\\n",
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},
"execution_count": null,
"metadata": {},
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}
],
"source": [
"cv_mlf_df.head()"
]
},
{
"cell_type": "markdown",
"id": "fc97f258-7ff2-4964-9470-dbe61ea459e5",
"metadata": {},
"source": [
"## NeuralForecast"
]
},
{
"cell_type": "markdown",
"id": "a63922bf-e42b-466a-b1ad-edc9d26c5280",
"metadata": {},
"source": [
"This machine doesn't have GPU, but Google Colabs offers some for free. \n",
"\n",
"Using [Colab's GPU to train NeuralForecast](https://nixtla.github.io/neuralforecast/examples/intermittentdata.html).\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "53085d3e-a0d8-4611-8ce8-dbe90541a6e9",
"metadata": {},
"outputs": [],
"source": [
"cv_nf_df = pd.read_parquet('https://m5-benchmarks.s3.amazonaws.com/data/cross-validation-nf.parquet')"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "f20967ca-d719-4f6e-84dd-50239b82629d",
"metadata": {},
"outputs": [
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"text/plain": [
" unique_id ds cutoff AutoNHITS AutoNHITS-lo-90 \\\n",
"0 FOODS_3_001_CA_1 2016-02-29 2016-02-28 0.0 0.0 \n",
"1 FOODS_3_001_CA_1 2016-03-01 2016-02-28 0.0 0.0 \n",
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"\n",
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},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
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],
"source": [
"cv_nf_df.head()"
]
},
{
"cell_type": "markdown",
"id": "3ea43dc8-ef4a-43d9-bd77-4a107ac58e09",
"metadata": {},
"source": [
"## Merge cross validation forecasts"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "88fde022-ec1f-4016-bc8d-30dbfce718fb",
"metadata": {},
"outputs": [],
"source": [
"cv_df = cv_df.merge(cv_nf_df.drop(columns=['y']), how='left', on=['unique_id', 'ds', 'cutoff'])\n",
"cv_df = cv_df.merge(cv_mlf_df.drop(columns=['y']), how='left', on=['unique_id', 'ds', 'cutoff'])"
]
},
{
"cell_type": "markdown",
"id": "b6ddef3b-d224-42c2-b7cd-567ab4ed7613",
"metadata": {},
"source": [
"## Plots CV"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "99ee9b44-2d1f-4040-ab7e-a4b081b96564",
"metadata": {},
"outputs": [],
"source": [
"cutoffs = cv_df['cutoff'].unique()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "601f5d6b-da71-4751-a2dd-a7fba2dfeee6",
"metadata": {},
"outputs": [
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"for cutoff in cutoffs:\n",
" img = sf.plot(\n",
" Y_df, \n",
" cv_df.query('cutoff == @cutoff').drop(columns=['y', 'cutoff']), \n",
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{
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"source": [
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},
{
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"execution_count": null,
"id": "3db1abcb-37ab-4252-a2e3-9109a639f1fa",
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"agg_cv_df = cv_df.loc[:,~cv_df.columns.str.contains('hi|lo')].groupby(['ds', 'cutoff']).sum(numeric_only=True).reset_index()\n",
"agg_cv_df.insert(0, 'unique_id', 'agg_demand')"
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{
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"id": "f82db7f6-ce5a-4946-a6c6-60aec5cd2725",
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"source": [
"agg_Y_df = Y_df.groupby(['ds']).sum(numeric_only=True).reset_index()\n",
"agg_Y_df.insert(0, 'unique_id', 'agg_demand')"
]
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for cutoff in cutoffs:\n",
" img = sf.plot(\n",
" agg_Y_df, \n",
" agg_cv_df.query('cutoff == @cutoff').drop(columns=['y', 'cutoff']),\n",
" max_insample_length=28 * 5,\n",
" )\n",
" img.show()"
]
},
{
"cell_type": "markdown",
"id": "159d1f00-4c80-4b7d-9af7-85e7ce4d4973",
"metadata": {},
"source": [
"## Evaluation per series and CV window"
]
},
{
"cell_type": "markdown",
"id": "904f726c-c8ae-4b22-9bd8-4f0679446762",
"metadata": {},
"source": [
"In this section, we will evaluate the performance of each model for each time series and each cross validation window. Since we have many combinations, we will use `dask` to parallelize the evaluation. The parallelization will be done using `fugue`."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "d6c523df-3ff3-45ae-9488-cbd72821a3f5",
"metadata": {},
"outputs": [],
"source": [
"from typing import List, Callable\n",
"\n",
"from distributed import Client\n",
"from fugue import transform\n",
"from fugue_dask import DaskExecutionEngine\n",
"from datasetsforecast.losses import mse, mae, smape"
]
},
{
"cell_type": "markdown",
"id": "ab35ea84-55cd-4e3a-865d-a604da46391f",
"metadata": {},
"source": [
"The `evaluate` function receives a unique combination of a time series and a window, and calculates different `metrics` for each model in `df`."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "28e9848f-5ff7-4141-9f7d-a0432bef7a58",
"metadata": {},
"outputs": [],
"source": [
"def evaluate(df: pd.DataFrame, metrics: List[Callable]) -> pd.DataFrame:\n",
" eval_ = {}\n",
" models = df.loc[:, ~df.columns.str.contains('unique_id|y|ds|cutoff|lo|hi')].columns\n",
" for model in models:\n",
" eval_[model] = {}\n",
" for metric in metrics:\n",
" eval_[model][metric.__name__] = metric(df['y'], df[model])\n",
" eval_df = pd.DataFrame(eval_).rename_axis('metric').reset_index()\n",
" eval_df.insert(0, 'cutoff', df['cutoff'].iloc[0])\n",
" eval_df.insert(0, 'unique_id', df['unique_id'].iloc[0])\n",
" return eval_df"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "85a65cc2-ae91-4c13-a23f-67c1bd9a161e",
"metadata": {},
"outputs": [],
"source": [
"str_models = cv_df.loc[:, ~cv_df.columns.str.contains('unique_id|y|ds|cutoff|lo|hi')].columns\n",
"str_models = ','.join([f\"{model}:float\" for model in str_models])\n",
"cv_df['cutoff'] = cv_df['cutoff'].astype(str)\n",
"cv_df['unique_id'] = cv_df['unique_id'].astype(str)"
]
},
{
"cell_type": "markdown",
"id": "144a88a4-3fed-48f9-b414-0ab6ff0e5912",
"metadata": {},
"source": [
"Let's cleate a `dask` client."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "ff2d73ae-5d8b-47c8-aeba-0c3075606547",
"metadata": {},
"outputs": [],
"source": [
"client = Client() # without this, dask is not in distributed mode\n",
"# fugue.dask.dataframe.default.partitions determines the default partitions for a new DaskDataFrame\n",
"engine = DaskExecutionEngine({\"fugue.dask.dataframe.default.partitions\": 96})"
]
},
{
"cell_type": "markdown",
"id": "a8a1e16b-02a3-4c71-924a-efd6d8532a68",
"metadata": {},
"source": [
"The `transform` function takes the `evaluate` functions and applies it to each combination of time series (`unique_id`) and cross validation window (`cutoff`) using the `dask` client we created before."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "ca6cea77-ae6c-4464-8480-3e72d506a0ae",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/ubuntu/miniconda/envs/statsforecast/lib/python3.10/site-packages/distributed/client.py:3109: UserWarning:\n",
"\n",
"Sending large graph of size 49.63 MiB.\n",
"This may cause some slowdown.\n",
"Consider scattering data ahead of time and using futures.\n",
"\n"
]
}
],
"source": [
"evaluation_df = transform(\n",
" cv_df.loc[:, ~cv_df.columns.str.contains('lo|hi')], \n",
" evaluate, \n",
" engine=\"dask\",\n",
" params={'metrics': [mse, mae, smape]}, \n",
" schema=f\"unique_id:str,cutoff:str,metric:str, {str_models}\", \n",
" as_local=True,\n",
" partition={'by': ['unique_id', 'cutoff']}\n",
")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "249fd027-bd88-4f30-b625-9c0e272e9154",
"metadata": {},
"outputs": [
{
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" unique_id cutoff metric SeasonalNaive Naive \\\n",
"0 FOODS_3_003_WI_3 2016-02-28 mse 1.142857 1.142857 \n",
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"4 FOODS_3_013_CA_3 2016-04-24 mae 1.500000 2.142857 \n",
"\n",
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"4 1.214286 1.340446 1.214286 1.214286 1.214286 \n",
"\n",
" AutoNHITS AutoTFT LGBMRegressor XGBRegressor LinearRegression \n",
"0 1.142857 1.142857 0.832010 1.020361 0.887121 \n",
"1 0.571429 0.571429 0.772788 0.619949 0.685413 \n",
"2 71.428574 71.428574 145.901947 188.159164 178.883743 \n",
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"4 1.107143 1.142857 1.140084 1.157548 1.148813 "
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" SeasonalNaive Naive HistoricAverage \\\n",
"cutoff metric \n",
"2016-02-28 mae 1.744289 2.040496 1.730704 \n",
" mse 14.510710 19.080585 12.858994 \n",
" smape 85.202042 87.719086 125.418488 \n",
"2016-03-27 mae 1.795973 2.106449 1.754029 \n",
" mse 14.810259 26.044472 12.804104 \n",
" smape 87.407471 89.453247 123.587196 \n",
"2016-04-24 mae 1.785983 1.990774 1.762506 \n",
" mse 13.476350 16.234917 13.151311 \n",
" smape 89.238815 90.685867 121.124947 \n",
"\n",
" CrostonOptimized ADIDA IMAPA AutoETS \\\n",
"cutoff metric \n",
"2016-02-28 mae 1.633017 1.527965 1.528772 1.497553 \n",
" mse 11.785032 11.114497 11.100909 10.347847 \n",
" smape 124.749908 127.591858 127.704102 127.790672 \n",
"2016-03-27 mae 1.662087 1.570701 1.572741 1.535301 \n",
" mse 12.020620 12.083861 12.120033 11.315013 \n",
" smape 123.460030 123.428459 123.538521 123.612991 \n",
"2016-04-24 mae 1.609268 1.527627 1.529721 1.501820 \n",
" mse 10.647048 10.072225 10.062395 9.393439 \n",
" smape 119.721245 120.325401 120.345284 120.649582 \n",
"\n",
" AutoNHITS AutoTFT LGBMRegressor XGBRegressor \\\n",
"cutoff metric \n",
"2016-02-28 mae 1.434938 1.485419 1.688403 1.514102 \n",
" mse 10.010982 10.964664 10.436206 10.968788 \n",
" smape 79.132614 80.983368 118.489983 140.420578 \n",
"2016-03-27 mae 1.432412 1.502393 1.712493 1.600193 \n",
" mse 9.445867 10.762877 10.723589 12.924312 \n",
" smape 79.926781 82.013168 116.089699 138.885941 \n",
"2016-04-24 mae 1.447401 1.505127 1.692946 1.541845 \n",
" mse 9.363891 10.436214 10.347073 10.774202 \n",
" smape 81.402748 83.614029 113.334198 136.755234 \n",
"\n",
" LinearRegression \n",
"cutoff metric \n",
"2016-02-28 mae 1.576320 \n",
" mse 10.792831 \n",
" smape 127.043137 \n",
"2016-03-27 mae 1.601612 \n",
" mse 10.943772 \n",
" smape 127.304871 \n",
"2016-04-24 mae 1.590985 \n",
" mse 10.608137 \n",
" smape 124.618622 "
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Calculate the mean metric for each cross validation window\n",
"evaluation_df.groupby(['cutoff', 'metric']).mean(numeric_only=True)"
]
},
{
"cell_type": "markdown",
"id": "5e59c051-d980-4f64-a576-ee44c92cc2ad",
"metadata": {},
"source": [
"Results showed in previous experiments."
]
},
{
"cell_type": "markdown",
"id": "708d9ce2-bc18-4052-b958-16ade1228b5a",
"metadata": {},
"source": [
"| model | MSE | \n",
"|:-------|-----:|\n",
"|MQCNN | 10.09 |\n",
"|DeepAR-student_t | 10.11 |\n",
"|DeepAR-lognormal | 30.20 |\n",
"|DeepAR| 9.13 |\n",
"|NPTS | 11.53 |"
]
},
{
"cell_type": "markdown",
"id": "27d039b4-916f-4866-a3db-a9d05b4e7a61",
"metadata": {},
"source": [
"Top 3 models: DeepAR, AutoNHITS, AutoETS."
]
},
{
"cell_type": "markdown",
"id": "d85505d9-e5d6-4221-96ef-732d5f23bfe7",
"metadata": {},
"source": [
"### Distribution of errors"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "2ada714b-3e64-4ebf-ad15-d9348f64c151",
"metadata": {},
"outputs": [],
"source": [
"%%capture\n",
"!pip install seaborn"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "32bb8f29-a230-4e53-ae0c-75ecffd7e243",
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import seaborn as sns"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "dd57c24a-506d-442a-8f12-711bbe12e4e5",
"metadata": {},
"outputs": [],
"source": [
"evaluation_df_melted = pd.melt(evaluation_df, id_vars=['unique_id', 'cutoff', 'metric'], var_name='model', value_name='error')"
]
},
{
"cell_type": "markdown",
"id": "721ca754-fcc9-4e3b-a924-9c2f6e9dcd21",
"metadata": {},
"source": [
"#### SMAPE"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "ae4edd56-3ae4-456d-b84b-5ab089cc190f",
"metadata": {},
"outputs": [
{
"data": {
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""
]
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"execution_count": null,
"metadata": {},
"output_type": "execute_result"
},
{
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.violinplot(evaluation_df_melted.query('metric==\"smape\"'), x='error', y='model')"
]
},
{
"cell_type": "markdown",
"id": "6de7c906-45c1-4fb5-a3c1-3f724f2168f0",
"metadata": {},
"source": [
"### Choose models for groups of series"
]
},
{
"cell_type": "markdown",
"id": "52b768e3-d761-4387-be90-7731fac5baf4",
"metadata": {},
"source": [
"Feature: \n",
"\n",
"* A unified dataframe with forecasts for all different models\n",
"* Easy Ensamble\n",
"* E.g. Average predictions\n",
"* Or MinMax (Choosing is ensembling)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "d12ae3a2-4b6d-4567-a004-153005a8dd43",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": null,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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ba92AgACYmppixYoVQlnt2rUL7LlNSUlBSkqK8DkxMTHf+kREX3qbIsabr0g8ERdXcsGQQpT1NwmFhITkKIuKispRJpVKhZ8DAgIQEBAgs9/X11fms6urK1yL+IdTWcCh9jJi7969sLa2hrW1NYYMGYKAgACZL2F+XFxcMHXqVNjZ2SEmJgYxMTFwcXGBVCpFnz598PbtW5w7dw4nT57E48eP4eLiUqKxm5iYICYmBufPny/Scb6+vtDV1RU2c3PzEo2LiIiIyhb2eJYR/v7+GDJkCADA2dkZHz58wOnTp+Hk5FTgserq6tDS0oKysrJMb+TJkydx584dPH36VEjqfvnlF9jZ2eH69eto1qwZACAhIQFaWrLrJbZu3RonTpwoVOwDBw7E8ePH0a5dO5iYmKBly5bo2LEjhg0bBh0dnTyP8/LywpQpU4TPiYmJTD6JqEgMJBlfdbyynlmR6nPdWKKvw8SzDIiMjMS1a9dw4MABAICysjJcXFywffv2QiWeeYmIiIC5ublMMmdraws9PT1EREQIiae2tjZu3bolc6y6unqhzyMWixEQEIDFixfjzJkzuHLlCpYsWYLly5fj2rVrMDU1zfU4iUQCiURSjCsjIsoyu9G7rzrewjukROIgosJh4lkG+Pv7Iz09HdWqVRPKpFIpVFRUEB8fDyUlpRzD7mlpaQW2K5VKhWc+8ytXUlJCnTp1vuIKslSrVg1Dhw7F0KFDsXjxYtStWxebN2+WeQMDERERVV5MPBUsPT0dO3bsgJ+fHzp37iyzr3///ti5cydq166N9+/fIykpCZqaWa8ZvH37tkxdVVVVZGTIDjnZ2toiOjoaz58/F3o979+/j4SEBNjY2JTeRQHQ19eHqakpkpKSinzsSD1tKKvzq1nWhHqEKjoEIiIq5/jbXcEOHTqE+Ph4jBo1KserrgYMGAB/f3+cPn0aGhoamD17Njw8PHDt2jUEBgbK1K1RowaePn2K27dvo3r16tDW1oaTkxMcHBzg5uaGtWvXIj09HePHj0e7du3QtGlT4VipVIrY2NgcsVWtWhVKSgXPP9uyZQtu376Nvn37onbt2vj06RN27NiBe/fuYf369cW7MURERFThcFa7gvn7+8PJySnX96v2798ft2/fRlRUFH799VccOXIE9vb22L17N3x8fHLUdXZ2RocOHWBkZITdu3dDJBIhODgY+vr6cHR0hJOTE2rVqoW9e/fKHJuYmAhTU9McW/Y7YwvSvHlzfPjwAWPHjoWdnR3atWuHK1euIDg4GO3atSv2vSEiIqKKRSQt7Jo9RKUsMTERurq6aL68OYfaFUj1vCpEyTmfDTbRkV2/lQtpE5E8ffr0CU+fPkXNmjWFt+uR/OR3/7N/fyckJOS7mg3AoXYi+oIoWZRr4hmXzIW2iYjo63ConYiIiIjkgj2eRCRDqp770ze5DbUTESla9EJ7uZ7PwjtcrueraJh4EpGMVMfUXMt3eeyScyRERFTRcKidiIiIqJS0b98eHh4e8PT0hL6+PoyNjfHzzz8jKSkJI0aMgLa2NmrXro2jR48CAOLj4+Hm5gYjIyOoq6vDysoKAQEBQnv/93//BxcXF+jr68PQ0BC9e/dGVFSUgq6u6NjjSWXOybEnC5wVR0REVF4EBQVhxowZuHbtGvbu3Ytx48YhODgYffv2xezZs7FmzRoMHToU0dHRmDdvHu7fv4+jR4+iSpUqePToEZKTkwEAHz9+RIcOHdC2bVucP38eysrKWLx4MZydnXHnzh2oqqoq+EoLxsSTiIiIqBQ1aNAAc+fOBQB4eXlh2bJlqFKlCsaMGQMA8Pb2xqZNm3Dnzh1ER0ejUaNGwoteatSoIbSzZ88eKCkpYdu2bcKrrwMCAqCnp4eQkJAcb0Asi5h4EhEREZUiBwcH4WexWAxDQ0PY2/83KcrY2BgA8OrVK4wbNw79+/fHrVu30LlzZ/Tp0wetW7cGANy8eROPHj2Ctra2TPufPn3C48eP5XAlX4+JJxEREVEpUlFRkfksEolkyrJ7LzMzM9G1a1c8e/YMhw8fxqlTp9CxY0dMmDABq1atQmZmJpo0aYKdO3fmOEd5WWmEiScRERFRGWJkZAR3d3e4u7ujbdu2mD59OlatWoXGjRtj7969qFq1armdC8FZ7URERERlhLe3N/744w88evQI9+7dw6FDh2BjYwMAcHNzQ5UqVdC7d29cuHABT58+xblz5zB58mS8ePFCwZEXDns8qcxxnLsbYom6osMgokro5sphig6BKjlVVVV4eXkhKioK6urqaNu2Lfbs2QMA0NDQwPnz5zFz5kz069cP79+/R7Vq1dCxY8dy0wMqkkqlub+mhEjOEhMToauriwYem5l4EpFCMPEsuz59+oSnT5+iZs2aUFNTU3Q4lU5+9z/793dCQkKBCTB7PImIqNzRijwKpbSkEm/X1fVYibdpZGSEdevWlXi7ROURE08iIip3lNKSoJRa8olnXFzJt0lE/+HkIiIiIiKSC/Z4EhFRuZOpolkq7Zrqa5V4m+VlfUUieWDiSURE5c4H666l0u5ZTi4iKlUcaiciIiIiuWCPJ5U5O7XWQVtNrOgwqBRYeIcrOgQiIlIg9niWoEuXLkEsFsPZ2bnIx/r4+KBhw4ZFPi4wMBAikSjHOd+9eweRSISQkBChTCQSITg4OEcb7u7u6NOnT66fRSJRvpu7uzsA4OzZs+jQoQMMDAygoaEBKysrDB8+HOnp6UW+JiIiIqqY2ONZgrZv3w4PDw9s27YN0dHRsLCwkMt5lZWVcfr0aSH5K0kxMTHCz3v37oW3tzciIyOFMnV1ddy7dw9du3bFpEmTsH79eqirq+Phw4fYv38/MjMzSzQeKjuWhunhbUrReqaVXV3z3Me1DomIKj4mniUkKSkJ+/btw/Xr1xEbG4vAwEB4e3sDyOqV9PT0xLt374T6wcHB6Nu3L6RSKQIDA7FgwQIAWT2MABAQEAB3d3dER0fDw8MDp0+fhpKSEpydnbF+/XoYGxsLbWlqamLQoEGYNWsWrl69WqLXZWJiIvysq6sLkUgkU5Ydq6mpKVasWCGU1a5du8Ce35SUFKSkpAifExMTSyhqkoe3KWK8KWLiibi40gmGiIjKBSaeJWTv3r2wtraGtbU1hgwZAg8PD8ybN09IJPPj4uKCu3fv4tixYzh16hSArCRPKpWiT58+0NTUxLlz55Ceno7x48fDxcVFZggdyBqqr1OnDvbv348BAwaUxiXmycTEBDExMTh//jwcHR0LfZyvr6+QcBMRERVHm/Vt5Hq+UI9QuZ6vomHiWUL8/f0xZMgQAICzszM+fPiA06dPw8nJqcBj1dXVoaWlBWVlZZnexJMnT+LOnTt4+vQpzM3NAQC//PIL7OzscP36dTRr1kyoa2ZmhsmTJ2POnDkyz2t+afDgwRCLZXupUlJS0L1796JcroyBAwfi+PHjaNeuHUxMTNCyZUt07NgRw4YNy/edrV5eXpgyZYrwOTExUbhOKvsMJBlFPkZZzyzPfVzrkIio4mPiWQIiIyNx7do1HDhwAEDWM5cuLi7Yvn17oRLPvERERMDc3FwmGbO1tYWenh4iIiJkEk8AmDlzJrZs2YLt27dj0KBBuba5Zs2aHDHNnDkTGRlFTyKyicViBAQEYPHixThz5gyuXLmCJUuWYPny5bh27RpMTU1zPU4ikUAikRT7vKRYsxu9K/IxFt4hJR4HEVFZt3//fixYsACPHj2ChoYGGjVqhD/++AMTJkzAu3fv0Lx5c6xbtw4pKSn44YcfMGfOHHh5ecHf3x8aGhpYuHAhRo4cKbQ3c+ZMHDx4EC9evICJiQnc3Nzg7e0NFRUVAFmjoMHBwRg3bhwWL16MN2/eoHv37ti6dSv09PSEdgICArBixQo8ffoUNWrUwKRJkzB+/PhSvRdMPEuAv78/0tPTUa1aNaFMKpVCRUUF8fHxUFJSglQqlTkmLS2twHalUmmuQ/V5levp6cHLywsLFixAjx49cm3TxMQEderUkSnT1taWef60uKpVq4ahQ4di6NChWLx4MerWrYvNmzdzOJ2IiCqtmJgYDB48GCtWrEDfvn3x/v17XLhwQcgLzpw5g+rVq+P8+fMIDQ3FqFGjcPnyZTg6OuLq1avYu3cvxo4di06dOgkdUdra2ggMDISZmRnCw8MxZswYaGtrY8aMGcJ5Hz16hH379uGvv/5CYmIiRo0ahQkTJmDnzp0AgK1bt2L+/PnYsGEDGjVqhLCwMIwZMwaampoYPnx4qd0PJp5fKT09HTt27ICfnx86d+4ss69///7YuXMnateujffv3yMpKQmamlmvebt9+7ZMXVVV1Ry9jra2toiOjsbz58+FL9v9+/eRkJAAGxubXOPx8PDAjz/+qPDZwfr6+jA1NUVSUlKRjx2ppw1ldX41KyQ5P4tFlRefw6OyIiYmBunp6ejXrx8sLS0BAPb29sJ+AwMD/Pjjj1BSUoK1tTVWrFiBjx8/Yvbs2QCyHktbtmwZQkND8e233wIA5s6dKxxfo0YNTJ06FXv37pVJPD99+oSgoCBUr14dALB+/Xp0794dfn5+MDExwaJFi+Dn54d+/foBAGrWrIn79+9jy5YtTDzLskOHDiE+Ph6jRo2Crq6uzL4BAwbA398fp0+fhoaGBmbPng0PDw9cu3YNgYGBMnVr1KiBp0+f4vbt26hevTq0tbXh5OQEBwcHuLm5Ye3atcLkonbt2qFp06a5xqOmpoYFCxZgwoQJpXXJOWzZsgW3b99G3759Ubt2bXz69Ak7duzAvXv3sH79ernFQUREVNY0aNAAHTt2hL29Pbp06YLOnTtjwIAB0NfXBwDY2dlBSem/ZdWNjY1Rv3594bNYLIahoSFevXollO3fvx9r167Fo0eP8OHDB6Snp+eYU2FhYSEknQDQqlUrZGZmIjIyEmKxGM+fP8eoUaMwZswYoU56enqOXKakMfH8Sv7+/nBycsr1H6p///5YunQpoqKi8Ouvv2L69On4+eef4eTkBB8fH3z33XcydQ8cOIAOHTrg3bt3wnJKwcHB8PDwgKOjo8xySvkZPnw4/Pz8cP/+/RK/3tw0b94cFy9exNixY/Hy5UtoaWnBzs4OwcHBaNeunVxiIKKKRfW8KkTJBa8KkhfXy3mvGVsSuO4sFZZYLMbJkydx6dIlnDhxAuvXr8ecOXOE5Q+zn8vMJhKJci3LXhf7ypUr+Pbbb7FgwQJ06dIFurq62LNnD/z8/PKNI/sRvc/b2rp1K1q0aJEj3tLExPMr/fXXX3nua9y4sfAMR+PGjXPMNv/8rwyJRIL9+/fnaMPCwgJ//PFHnudwd3cX3h6UTSwW4969eznqfvmcabYve1+//JzfuQCgUaNG+OWXX/KMkYioqETJoq9KPOOSuWYslR0ikQht2rRBmzZt4O3tDUtLSxw8eLBYbYWGhsLS0hJz5swRyp49e5ajXnR0NF6+fAkzs6zVRC5fvgwlJSXUrVsXxsbGqFatGp48eQI3N7fiXVQxMfEkIiIiKiVXr17F6dOn0blzZ1StWhVXr17F69evYWNjgzt37hS5vTp16iA6Ohp79uxBs2bNcPjw4VyTWDU1NQwfPhyrVq1CYmIiJk2ahEGDBgnLNvr4+GDSpEnQ0dFB165dkZKSghs3biA+Pl5mqcOSxsSTiIjKHKl67iM0hWWiY1Jwpa/AdWfLjrI+kUxHRwfnz5/H2rVrkZiYCEtLS/j5+aFr167Yu3dvkdvr3bs3fvjhB0ycOFFYh3vevHnw8fGRqVenTh3069cP3bp1w9u3b9GtWzds3LhR2D969GhoaGhg5cqVmDFjBjQ1NWFvbw9PT8+vvOL8iaR5jb8SyVliYiJ0dXXRfHlzzmonoq9S1pMRKrpPnz7h6dOnqFmzJtTU1BQdTpmWvY7nlyvofI387n/27++EhIR8XxwDAEr57iUiIiIiKiHsVqIy5+TYkwX+xURERETlD3s8iYiIiCoQHx+fEh1mL0lMPImIiIhILph4EhERUbnBOdGKUVL3nYknERERlXnZb/P5+PGjgiOpnFJTUwF8/ZuNOLmIiIiIyjyxWAw9PT3hneUaGhrCayCpdGVmZuL169fQ0NCAsvLXpY5MPImIiKhcyH7rTnbySfKjpKQECwuLr072mXhSmeM4dzfEEnVFh1Ep3Vw5TNEhEBHlSSQSwdTUFFWrVkVaWpqiw6lUVFVVoaT09U9oMvEkIiKickUsFn/1s4akGEw8iSoBrcijUEpLKrCeq+uxAusYGRlh3bp1JREWERFVMkw8iSoBpbQkKKUWnHjGxRVch4iIqLi4nBIRERERyQV7PIkqgUwVzULVM9XXKrCOkZHR14ZDRESVFBNPokrgg3XXQtU7y1ntRERUijjUTkRERERywR7PMubSpUto27YtOnXqhGPHCp5h/DkfHx8EBwfj9u3bhT6mffv2OHfuXJ77LS0tERUVlWe9rVu3YsyYMfme4+zZs2jfvn2hY9qptQ7aahV/mQwL73BFh0BERCRXTDzLmO3bt8PDwwPbtm1DdHQ0LCwsSvV8Bw4cEN6/+vz5czRv3hynTp2CnZ0dANl3so4ZMwYLFy6UOV5XVxc9evQQPvfr1w/169eXqWdgYFCal0BERETlBBPPMiQpKQn79u3D9evXERsbi8DAQHh7ewMAAgMD4enpiXfv3gn1g4OD0bdvX0ilUgQGBmLBggUAILzOKiAgAO7u7oiOjoaHhwdOnz4NJSUlODs7Y/369TA2NpZJCj99+gQAMDQ0FF5L9jkNDY1cy9XV/3vLkKqqap71KrOlYXp4myLbi6vs6ppnfa6VSUREFRETzzJk7969sLa2hrW1NYYMGQIPDw/MmzevUO9FdXFxwd27d3Hs2DGcOnUKQFZvpFQqRZ8+faCpqYlz584hPT0d48ePh4uLC0JCQkr5ivKXkpKClJQU4XNiYqICoyldb1PEePNF4om4OMUEQ0REpCCcXFSG+Pv7Y8iQIQAAZ2dnfPjwAadPny7Userq6tDS0oKysjJMTExgYmICdXV1nDp1Cnfu3MGuXbvQpEkTtGjRAr/88gvOnTuH69evFym+jRs3QktLS9imTp1a5Gv8nK+vL3R1dYXN3Nz8q9ojIiKiso09nmVEZGQkrl27hgMHDgAAlJWV4eLigu3bt8PJyanY7UZERMDc3FwmqbO1tYWenh4iIiLQrFmzQrfl5uaGOXPmCJ/19PSKHRcAeHl5YcqUKcLnxMTECpt8GkgycpQp65nlWZ9rZRIRUUXExLOM8Pf3R3p6OqpVqyaUSaVSqKioID4+HkpKSpBKpTLHpKWlFdiuVCrNdag+r/L86Orqok6dOkU6Jj8SiQQSiaTE2ivLZjd6l6PMwjtE7nEQEREpEhPPMiA9PR07duyAn58fOnfuLLOvf//+2LlzJ2rXro33798jKSkJmppZb6H5ctkkVVVVZGTI9qzZ2toiOjoaz58/F3oT79+/j4SEBNjY2JTeRRERERF9gYlnGXDo0CHEx8dj1KhR0NXVldk3YMAA+Pv74/Tp09DQ0MDs2bPh4eGBa9euITAwUKZujRo18PTpU9y+fRvVq1eHtrY2nJyc4ODgADc3N6xdu1aYXNSuXTs0bdpUjldZeCP1tKGsXgm+muvbKDoCuQv1CFV0CEREpECcXFQG+Pv7w8nJKUfSCWT1eN6+fRtRUVH49ddfceTIEdjb22P37t3w8fHJUdfZ2RkdOnSAkZERdu/eDZFIhODgYOjr68PR0RFOTk6oVasW9u7dK6erIyIiIsoikn754CCRgiQmJkJXVxfNlzevHD2eFYTqeVWIkgv3vLCJTuHXd+VapkRE5UP27++EhATo6OjkW5e/3Ynoq4iSRYVOPOOSuXYpEVFlxqF2IiIiIpIL9ngS0VeRqhf+aZ2iDrUTEVHFwsSTiL5KqmNqoevu8thVipEQEVFZx6F2IiIiIpIL9nhSmXNy7MkCZ8URERFR+cMeTyIiIiKSCyaeRERERCQXTDyJiIiISC6YeBIRERGRXDDxJCIiIiK54Kx2KnMc5+6GWKIu13PeXDlMrucjIiKqjNjjSURERERywcSTiIiIiOSCQ+1UKWlFHoVSWpLw2dX1mPCzkZER1q1bp4iwiIiIKjQmnlQpKaUlQSn1v8QzLi4pn9pERERUEjjUTkRERERywR5PqpQyVTRlPpvqawk/GxkZyTscIiKiSoGJJ1VKH6y7ynw+y+WUiIiISh2H2suhGjVqYO3atV/Vho+PDxo2bFgi8eSlffv28PT0LNVzEBERUfmh8B7P2NhYLFmyBIcPH8b//d//oWrVqmjYsCE8PT3RsWPHUjlnjRo14OnpWWpJ0aFDh7Bq1SrcvHkTGRkZsLOzw4QJE+Du7l6kdgIDA+Hp6Yl3797JlF+/fh2ampq5H1RI06ZNg4eHx1e1UVp2aq2DtppYrueMXrhSruejwrPwDld0CEREVEIU2uMZFRWFJk2a4MyZM1ixYgXCw8Nx7NgxdOjQARMmTMj1mLS0NDlHWTTr169H79690bp1a1y9ehV37tzBt99+i7Fjx2LatGklcg4jIyNoaGh8VRtaWlowNDQskXiIiIiICkOhief48eMhEolw7do1DBgwAHXr1oWdnR2mTJmCK1euAABEIhE2b96M3r17Q1NTE4sXLwYAbNq0CbVr14aqqiqsra3xyy+/yLTt4+MDCwsLSCQSmJmZYdKkSQCyhn+fPXuGH374ASKRCCKRSDjm999/h52dHSQSCWrUqAE/Pz+ZNmvUqIGlS5di5MiR0NbWhoWFBX7++Wdh//PnzzF16lR4enpi6dKlsLW1RZ06dTB16lSsXLkSfn5+uHr1KgAgJCQEIpEIhw8fRoMGDaCmpoYWLVogPDxc2D9ixAgkJCQIcfr4+AhxfD7ULhKJsGXLFvTo0QMaGhqwsbHB5cuX8ejRI7Rv3x6amppo1aoVHj9+LHN/Ph9qzz7H51uNGjWE/ffv30e3bt2gpaUFY2NjDB06FP/++6+wPykpCcOGDYOWlhZMTU1z3DuiwlgapodpVwxlNldXV2GbPHmyokMkIqKvoLDE8+3btzh27BgmTJiQ67Cxnp6e8PP8+fPRu3dvhIeHY+TIkTh48CAmT56MqVOn4u7du/j+++8xYsQInD17FgCwf/9+rFmzBlu2bMHDhw8RHBwMe3t7AMCBAwdQvXp1LFy4EDExMYiJiQEA3Lx5E4MGDcK3336L8PBw+Pj4YN68eQgMDJSJy8/PD02bNkVYWBjGjx+PcePG4Z9//hHOm5aWlmvP5vfffw8tLS3s3r1bpnz69OlYtWoVrl+/jqpVq6JXr15IS0tD69atsXbtWujo6Ahx5tdjumjRIgwbNgy3b99GvXr14Orqiu+//x5eXl64ceMGAGDixIl5Hp99jpiYGDx69Ah16tSBo6OjsK9du3Zo2LAhbty4gWPHjiEuLg6DBg2SuY6zZ8/i4MGDOHHiBEJCQnDz5s08zwcAKSkpSExMlNmocnubIsabL7a4uDhhe/36taJDJCKir6CwZzwfPXoEqVSKevXqFVjX1dUVI0eOlPns7u6O8ePHA4DQQ7pq1Sp06NAB0dHRMDExgZOTE1RUVGBhYYHmzZsDAAwMDCAWi6GtrQ0TExOhzdWrV6Njx46YN28eAKBu3bq4f/8+Vq5cKfNsZrdu3YTzzpw5E2vWrEFISAjq1auHBw8eQFdXF6ampjmuQVVVFbVq1cKDBw9kyufPn49OnToBAIKCglC9enUcPHgQgwYNgq6uLkQikUyceRkxYoSQCM6cOROtWrXCvHnz0KVLFwDA5MmTMWLEiDyPzz6HVCpF//79oauriy1btgDI6l1u3Lgxli5dKtTfvn07zM3N8eDBA5iZmcHf3x87duzIcS358fX1xYIFCwq8NiIiIqoYFNbjKZVKAUBmqDsvTZs2lfkcERGBNm3ayJS1adMGERERAICBAwciOTkZtWrVwpgxY3Dw4EGkp6fne4682nz48CEyMjKEMgcHB+Hn7KTw1atXBV4DkHXNX15vq1athJ8NDAxgbW0tXEdRfB6XsbExAAi9vNllnz59KrBXcfbs2bh8+TKCg4Ohrq4OIKs3+OzZs9DS0hK27D8YHj9+jMePHyM1NTXXa8mPl5cXEhIShO358+dFu2iqcAwkGTD8YjM2NhY2rrFKRFS+KazH08rKCiKRCBEREejTp0++dXMbiv8ygfs8qTM3N0dkZCROnjyJU6dOYfz48Vi5ciXOnTsHFRWVXM+RW1KYnRx/7svjRSIRMjMzAWT1kiYkJODly5cwMzOTqZeamoonT57gm2++yfdac7u2wvg8ruzjcyvLjjU3v/76q9CD+3lvZWZmJnr27Inly5fnOMbU1BQPHz4scrwAIJFIIJFIinUsVUyzG73LUWbhHSL3OIiIqHQorMfTwMAAXbp0wU8//YSkpJzvyf5yCaHP2djY4OLFizJlly5dgo2NjfBZXV0dvXr1wo8//oiQkBBcvnxZmLijqqoq04sJALa2trm2WbduXYjFhVvap3///lBWVs51Ys3mzZuRlJSEwYMHy5RnT6ICgPj4eDx48EDoTcwtztJy+fJljB49Glu2bEHLli1l9jVu3Bj37t1DjRo1UKdOHZlNU1MTderUgYqKSq7XQkRERJRNoet4bty4Ea1bt0bz5s2xcOFCODg4ID09HSdPnsSmTZvyHHKePn06Bg0ahMaNG6Njx47466+/cODAAZw6dQpA1vqXGRkZaNGiBTQ0NPDLL79AXV0dlpaWALJmhZ8/fx7ffvstJBIJqlSpgqlTp6JZs2ZYtGgRXFxccPnyZWzYsAEbN24s9PVYWFhgxYoVmDZtGtTU1DB06FCoqKjgjz/+wOzZszF16lS0aNFC5piFCxfC0NAQxsbGmDNnDqpUqSL0ANeoUQMfPnzA6dOn0aBBA2hoaHz1Mkq5iY2NRd++ffHtt9+iS5cuiI2NBQCIxWIYGRlhwoQJ2Lp1KwYPHozp06ejSpUqePToEfbs2YOtW7dCS0sLo0aNwvTp02WuRUmpeH/XjNTThrK6fL6aoR6hcjkPERERKXg5pZo1a+LWrVvo0KEDpk6divr166NTp044ffo0Nm3alOdxffr0wbp167By5UrY2dlhy5YtCAgIQPv27QFkzYjfunUr2rRpAwcHB5w+fRp//fWXsG7lwoULERUVhdq1awvPjDVu3Bj79u3Dnj17UL9+fXh7e2PhwoVFXvT9hx9+wMGDB3HhwgU0bdoU9evXx65du7Bp0yasWrUqR/1ly5Zh8uTJaNKkCWJiYvDnn39CVVUVANC6dWuMHTsWLi4uMDIywooVK4oUS2H9888/iIuLQ1BQEExNTYWtWbNmAAAzMzOEhoYiIyMDXbp0Qf369TF58mTo6uoKyeXKlSvh6OiIXr16wcnJCf/73//QpEmTUomXiIiIyieRNLcHGanUhYSEoEOHDoiPj5dZOqoyS0xMhK6uLpovb16iPZ6q51UhSs79uVkTHdkVA4yMjLBu3boSOzcREVFFl/37OyEhATo6OvnWVfgrM4lKmyhZlGfiGZccJ+doiIiIKi+FDrUTERERUeXBHk8Fad++fa7LNVHJk6rnfZ9zG2onIiKi0sHEkyq8VMfUPPft8tglx0iIiIgqt0Innvr6+oVe2Pzt27fFDoiIiIiIKqZCJ55r164txTCI/nNy7MkCZ8URERFR+VPoxHP48OGlGQcRERERVXDFntX++PFjzJ07F4MHD8arV68AAMeOHcO9e/dKLDgiIiIiqjiKlXieO3cO9vb2uHr1Kg4cOIAPHz4AAO7cuYP58+eXaIBEREREVDEUK/GcNWsWFi9ejJMnTwqvdwSADh064PLlyyUWHBERERFVHMVKPMPDw9G3b98c5UZGRnjz5s1XB0VEREREFU+x1vHU09NDTEwMatasKVMeFhaGatWqlUhgVHk5zt0NsURd0WF8lZsrhyk6BCIiojKnWD2erq6umDlzJmJjYyESiZCZmYnQ0FBMmzYNw4bxFy4RERER5SSSFuO9jWlpaXB3d8eePXsglUqhrKyMjIwMuLq6IjAwEGKxuDRipQouMTERurq6aOCxucz3eGpFHoVSWlKe+031tXItNzIywrp160orLCIiIrnL/v2dkJBQ4DrcxRpqV1FRwc6dO7Fw4UKEhYUhMzMTjRo1gpWVVbECJipvlNKSoJSad+IZF5f3PiIiosrqq97VXrt2bdSuXbukYiEiIiKiCqzQieeUKVMK3ejq1auLFQxReZGpopnv/vyG2omIiCqrQieeYWFhMp9v3ryJjIwMWFtbAwAePHgAsViMJk2alGyERGXQB+uu+e4/y1ntREREORQ68Tx79qzw8+rVq6GtrY2goCDo6+sDAOLj4zFixAi0bdu25KMkIiIionKvWLPaq1WrhhMnTsDOzk6m/O7du+jcuTNevnxZYgF+jcDAQHh6euLdu3dyP7e7uzvevXuH4OBguZ+7vMqeFXfXywbaalwZgcoeC+9wRYdARFTmFGVWe7HW8UxMTERcXFyO8levXuH9+/fFabLI3N3d0adPnxzlISEhEIlEePfuHVxcXPDgwYNCtRcYGAg9Pb0Si2/dunUIDAws8nHfffcdxGIx9uzZU2KxEBEREZUFxUo8+/btixEjRmD//v148eIFXrx4gf3792PUqFHo169fScdYbOrq6qhatapcz5mRkYHMzEzo6uoWOZH9+PEj9u7di+nTp8Pf3790AvxMampqqZ+DiIiIKFuxEs/Nmzeje/fuGDJkCCwtLWFpaQk3Nzd07doVGzduLOkYi+3LXsy///4bHTp0gLa2NnR0dNCkSRPcuHEDISEhGDFiBBISEiASiSASieDj4wMg69nVYcOGQV9fHxoaGujatSsePnyY4xyHDh2Cra0tJBIJnj17lqNHNjMzE8uXL0edOnUgkUhgYWGBJUuWyMT722+/wdbWFl5eXggNDUVUVBQAIDIyEiKRCP/8849M/dWrV6NGjRrIflri/v376NatG7S0tGBsbIyhQ4fi33//Feq3b98eEydOxJQpU1ClShV06tRJaMfe3h6ampowNzfH+PHj8eHDB5lzbd26Febm5tDQ0EDfvn2xevXqHIn1X3/9hSZNmkBNTQ21atXCggULkJ6eXuh/L6KyZGmYHqZdMZTZXF1dhW3y5MmKDpGIqNwpVuKpoaGBjRs34s2bNwgLC8OtW7fw9u1bbNy4EZqa+S8zo0hubm6oXr06rl+/jps3b2LWrFlQUVFB69atsXbtWujo6CAmJgYxMTGYNm0agKwh/Rs3buDPP//E5cuXIZVK0a1bN6SlpQntfvz4Eb6+vti2bRvu3buXay+rl5cXli9fjnnz5uH+/fvYtWsXjI2NZer4+/tjyJAh0NXVRbdu3RAQEAAAsLa2RpMmTbBz506Z+rt27YKrqytEIhFiYmLQrl07NGzYEDdu3MCxY8cQFxeHQYMGyRwTFBQEZWVlhIaGYsuWLQAAJSUl/Pjjj7h79y6CgoJw5swZzJgxQzgmNDQUY8eOxeTJk3H79m106tQpR9J8/PhxDBkyBJMmTcL9+/exZcsWBAYG5qj3uZSUFCQmJspsRGXF2xQx3nyxxcXFCdvr168VHSIRUblTrMlFn3vx4gVEIhGqVatWUjEViru7O3799VeoqanJlGdkZODTp0+Ij49HcHCwzOQiHR0drF+/HsOHD8/RXm4TkR4+fIi6desiNDQUrVu3BgC8efMG5ubmCAoKwsCBAxEYGIgRI0bg9u3baNCggUx82ZOL3r9/DyMjI2zYsAGjR4/O9XoePnwIOzs7vHz5ElWqVEFwcDAmTZqEqKgoKCkpYc2aNdiwYQMeP34MIGv5Kmtra9y7dw+2trbw9vbG1atXcfz4caHNFy9ewNzcHJGRkahbty7at2+PhISEHEtjfem3337DuHHjhN7Sb7/9Fh8+fMChQ4eEOkOGDMGhQ4eE++Xo6IiuXbvCy8tLqPPrr79ixowZeU428/HxwYIFC3KUc3IRlQXTrhjiTUre30NjY2Ps2rVLjhEREZVNpT65KDMzEwsXLoSuri4sLS1hYWEBPT09LFq0CJmZmcUKujg6dOiA27dvy2zbtm3Ls/6UKVMwevRoODk5YdmyZUISl5eIiAgoKyujRYsWQpmhoSGsra0REREhlKmqqsLBwSHfdlJSUtCxY8c86/j7+6NLly6oUqUKAKBbt25ISkrCqVOnAGQlf8+ePcOVK1cAADt37kTDhg1ha2sLIGtd1bNnz0JLS0vY6tWrBwAy19m0adMc5z579iw6deqEatWqQVtbG8OGDcObN2+QlJT12sfIyEg0b95c5pgvP9+8eRMLFy6UOf+YMWMQExODjx8/5nrNXl5eSEhIELbnz5/neX+I5M1AkgHDLzZjY2Nh48sAiIiKrlivzJwzZw78/f2xbNkytGnTBlKpFKGhofDx8cGnT5/yHV4tSZqamqhTp45M2YsXL/Ks7+PjA1dXVxw+fBhHjx7F/PnzsWfPHvTt2zfX+nl1BkulUohEIuGzurq6zOcvqaur53cZyMjIwI4dOxAbGwtlZWWZcn9/f3Tu3Bmmpqbo0KEDdu3ahZYtW2L37t34/vvvhbqZmZno2bMnli9fnqN9U1NT4ecvH4V49uwZunXrhrFjx2LRokUwMDDAxYsXMWrUKOFxgi+vN7vsc5mZmViwYEGuk8u+7JXOJpFIIJFI8rotRAo1u9G7HGUW3iFyj4OIqCIpVuIZFBSEbdu2oVevXkJZgwYNUK1aNYwfP15uiWdx1K1bF3Xr1sUPP/yAwYMHIyAgAH379oWqqioyMjJk6tra2iI9PR1Xr16VGWp/8OABbGxsCn1OKysrqKur4/Tp07kOtR85cgTv379HWFgYxOL/hvb++ecfuLm54c2bNzA0NISbmxtmzpyJwYMH4/Hjx/j222+Fuo0bN8bvv/+OGjVqyCSvBblx4wbS09Ph5+cHJaWsDvB9+/bJ1KlXrx6uXbuW47jPNW7cGJGRkTn+ECAiIiLKVqzE8+3bt8Iw7ufq1auHt2/ffnVQpSE5ORnTp0/HgAEDULNmTbx48QLXr19H//79AQA1atTAhw8fcPr0aTRo0AAaGhqwsrJC7969MWbMGGzZsgXa2tqYNWsWqlWrht69exf63Gpqapg5cyZmzJgBVVVVtGnTBq9fv8a9e/cwatQo+Pv7o3v37jLPiAKAnZ0dPD098euvv2Ly5Mno168fxo0bh3HjxqFDhw4yz9VOmDABW7duxeDBgzF9+nRUqVIFjx49wp49e7B161aZhPZztWvXRnp6OtavX4+ePXsiNDQUmzdvlqnj4eEBR0dHrF69Gj179sSZM2dw9OhRmV5Qb29v9OjRA+bm5hg4cCCUlJRw584dhIeHY/HixYW+VwAwUk8byurF+mqWCaEeoYoOgYiIqEwq1jOeDRo0wIYNG3KUb9iwIUfyVFaIxWK8efMGw4YNQ926dTFo0CB07dpVmNzSunVrjB07Fi4uLjAyMsKKFSsAAAEBAWjSpAl69OiBVq1aQSqV4siRI1BRUSnS+efNm4epU6fC29sbNjY2cHFxwatXrxAXF4fDhw8LCfDnRCIR+vXrJ6zpqaOjg549e+Lvv/+Gm5ubTF0zMzOEhoYiIyMDXbp0Qf369TF58mTo6uoKPZm5adiwIVavXo3ly5ejfv362LlzJ3x9fWXqtGnTBps3b8bq1avRoEEDHDt2DD/88IPMEHqXLl1w6NAhnDx5Es2aNUPLli2xevVqWFpaFuk+ERERUcVVrFnt586dQ/fu3WFhYYFWrVpBJBLh0qVLeP78OY4cOcL3tVcCY8aMwT///IMLFy6UWJvZs+KaL29erno8Vc+rQpT8X++viY4JAMDIyAjr1q1TVFhERERyUZRZ7cX67d6uXTs8ePAAP/30E/755x9IpVL069cP48ePh5mZWbGCprJt1apV6NSpEzQ1NXH06FEEBQWVqZcFKJIoWSSTeMYl53ydLBERERUz8QSyhnbL8iQiKlnXrl3DihUr8P79e9SqVQs//vhjnmuSEhEREeWm2Innp0+fcOfOHbx69SrH2p2fz3aniuHLme70H6m67NMqnw+1ExER0X+KlXgeO3YMw4YNk3kPeDaRSJRjWSKiiizVMVXm8y4Pvs2GiIgoN8Wa1T5x4kQMHDgQMTExyMzMlNmYdBIRERFRboo1q11HRwdhYWGoXbt2acRElVRRZsURERFR2VDq72ofMGAAQkJCinMoEREREVVSxerx/PjxIwYOHAgjIyPY29vnWEx90qRJJRYgVR7s8SQiIip/Sn0dz127duH48eNQV1dHSEiIzKsTRSIRE08iIiIiyqFYiefcuXOxcOFCzJo1K9/XMRIRERERZStW1piamgoXFxcmnURERERUaMXKHIcPH469e/eWdCxEAADHubvRZPoONJm+Q9GhEBERUQkq1lB7RkYGVqxYgePHj8PBwSHH5KLVq1eXSHBEREREVHEUK/EMDw9Ho0aNAAB3796V2ff5RCOi4tB8eBKqyHobkKvrMRgZGWHdunUKjoqIiIi+VrESz7Nnzxaq3osXL2BmZsZnQalIlNKToJSZlXjGxSUpOBoiIiIqKaWaEdra2iIqKqo0T0FERERE5USxejwLqxhr0xMhU1kTmch6bthUXwtGRkYKjoiIiIhKQqkmnkTFkWTVCZ8k6gCAsyuHKTgaIiIiKil8+JKIiIiI5II9nlTm7NRaB201MQAgeuFKBUejeBbe4YoOgYiIqESUao8nl1aSD3d3d/Tp00f4WSQSYezYsTnqjR8/HiKRCO7u7jn2Xbp0CWKxGM7Ozjn2RUVFQSQSCZu+vj4cHR1x7tw5mXovXryAqqoq6tWrVyLXRURERBULJxdVQObm5tizZw/WrFkDdfWsZyU/ffqE3bt3w8LCItdjtm/fDg8PD2zbtg3R0dG51jt16hTs7Ozw6tUrzJ49G926dcPdu3dRs2ZNAEBgYCAGDRqE8+fPIzQ0FG3atCm9i6xglobp4W2KONd9yq6uhWqD650SEVFZV6wez5EjR+L9+/c5ypOSkjBy5Ejh8/3792FpaVn86KhYGjduDAsLCxw4cEAoO3DgAMzNzYWF/z+XlJSEffv2Ydy4cejRowcCAwNzbdfQ0BAmJiZwcHDAli1b8PHjR5w4cQJA1h8ZAQEBGDp0KFxdXeHv719gnCkpKUhMTJTZKqu3KWK8yWOLi4sr1Pb69WtFXwYREVG+ipV4BgUFITk5OUd5cnIyduz47/3a5ubmEItz78Wh0jVixAgEBAQIn7dv3y7zR8Hn9u7dC2tra1hbW2PIkCEICAgosLdaQ0MDAJCWlgYg66UCHz9+hJOTE4YOHYp9+/bl+sfJ53x9faGrqyts5ubmRblEIiIiKmeKlHgmJiYiISEBUqkU79+/l+mpio+Px5EjR1C1atXSipWKYOjQobh48SKioqLw7NkzhIaGYsiQIbnW9ff3F/Y5Ozvjw4cPOH36dJ5tJyUlwcvLC2KxGO3atRPa+PbbbyEWi2FnZ4c6depg7969+cbo5eWFhIQEYXv+/Hkxr7b8M5BkwDCPzdjYuFAb1zslIqKyrkjPeOrp6QkTTOrWrZtjv0gkwoIFC0osOCq+KlWqoHv37ggKCoJUKkX37t1RpUqVHPUiIyNx7do1YVheWVkZLi4u2L59O5ycnGTqtm7dGkpKSvj48SNMTU0RGBgIe3t7vHv3DgcOHMDFixeFukOGDMH27dsxevToPGOUSCSQSCQldMXl2+xG7/LcZ+EdIrc4iIiISlOREs+zZ89CKpXim2++we+//w4DAwNhn6qqKiwtLWFmZlbiQVLxjBw5EhMnTgQA/PTTT7nW8ff3R3p6OqpVqyaUSaVSqKioID4+Hvr6+kL53r17YWtrCz09PRgaGgrlu3btwqdPn9CiRQuZNjIzM3H//n3Y2tqW9KURERFROVSkxDN7WPXp06ewsLDgckllnLOzM1JTUwEAXbp0ybE/PT0dO3bsgJ+fHzp37iyzr3///ti5c6eQuAJZz+zWrl07Rzv+/v6YOnVqjmWaJk2ahO3bt2PVqlVFinuknjaU1XP/aoZ6hBapLSIiIio7ijW5KCIiAqGh/yUAP/30Exo2bAhXV1fEx8eXWHD0dcRiMSIiIhAREZHrJK9Dhw4hPj4eo0aNQv369WW2AQMGFGpm+u3bt3Hr1i2MHj06RxuDBw/Gjh07hAlIREREVLkVK/GcPn26sPRNeHg4pkyZgm7duuHJkyeYMmVKiQZIX0dHRwc6Ojq57vP394eTkxN0dXVz7Ovfv7+QVObH398ftra2uS4a36dPH7x9+xZ//fVX8YInIiKiCkUkLcYq71paWrh79y5q1KgBHx8f3L17F/v378etW7fQrVs3xMbGlkasVMElJiZCV1cXzZc3F4baVc+rQpT83yMdJjomMsdw0XQiIiLFyv79nZCQkGdnV7ZivblIVVUVHz9+BJD1Npthw4YBAAwMDCr1IuBU8kTJIpnEMy45ToHREBER0dcoVuL5v//9D1OmTEGbNm1w7do1Yb3GBw8eoHr16iUaIBERERFVDMV6xnPDhg1QVlbG/v37sWnTJmEpnqNHj8LZ2blEA6TKTaouldm4aDoREVH5VaxnPIlKQ27PeH6JyykRERGVLUV5xrNYPZ4A8PjxY8ydOxeDBw/Gq1evAADHjh3DvXv3itskEREREVVgxerxPHfuHLp27Yo2bdrg/PnziIiIQK1atbBixQpcu3YN+/fvL41YqYIryl9MREREVDaUeo/nrFmzsHjxYpw8eRKqqqpCeYcOHXD58uXiNElEREREFVyxEs/w8HD07ds3R7mRkRHevHnz1UERERERUcVTrMRTT08PMTExOcrDwsKEGe5ERERERJ8rVuLp6uqKmTNnIjY2FiKRCJmZmQgNDcW0adOExeSJiIiIiD5XrMRzyZIlsLCwQLVq1fDhwwfY2tqibdu2aN26NebOnVvSMRIRERFRBfBV63g+efIEN27cgEgkQqNGjVCnTp2SjI0qmexZcQ08NkMsUVd0OJXCzZUcoSAioq9T6u9qBwB/f3+sWbMGDx8+BABYWVnB09MTo0ePLm6TRERERFSBFSvxnDdvHtasWQMPDw+0atUKAHD58mX88MMPiIqKwuLFi0s0SCIqGVqRR6GUliR8dnU9JvxsZGSEdevWKSIsIiKqJIqVeG7atAlbt27F4MGDhbJevXrBwcEBHh4eTDyJyiiltCQopf6XeMbFJeVTm4iIqGQVa3JRRkYGmjZtmqO8SZMmSE9P/+qgiIiIiKjiKVbiOWTIEGzatClH+c8//ww3N7evDoqISkemiiYyVf/bjI2Nhc3IyEjR4RERUQVX6KH2KVOmCD+LRCJs27YNJ06cQMuWLQEAV65cwfPnz7mOJ1EZ9sG6q8zns5zVTkREclToxDMsLEzmc5MmTQAAjx8/BpA1McHIyAj37t0rwfCIiIiIqKL4qnU8iUpS9jpgd71soK0mVnQ4RHJn4R2u6BCIiIqsKOt4FusZz7LC3d0dffr0yXN/WFgYXFxcYGpqColEAktLS/To0QN//fUXsvPtqKgoiEQiYVNVVUWdOnWwePFifJ6T+/j4QCQSwdnZOcd5VqxYAZFIhPbt2+eoLxKJoKSkBDMzM7i5ueH58+cldv1ERERE5UmxF5Av6/744w8MGjQITk5OCAoKQu3atfHmzRvcuXMHc+fORdu2baGnpyfUP3XqFOzs7JCSkoKLFy9i9OjRMDU1xahRo4Q6pqamOHv2LF68eIHq1asL5QEBAbCwsMgRg52dHU6dOoXMzEw8fvwYEyZMwKBBg3D58uVSvfa0tDSoqKiU6jmKIiMjQ0jAiSqqpWF6eJvydT31yq6uJRRNFq7NSkRlTYXMBJKSkjBq1Ch0794dhw8fRufOnVG7dm00b94co0ePxt9//w1dXV2ZYwwNDWFiYgJLS0u4ubmhdevWuHXrlkydqlWronPnzggKChLKLl26hH///Rfdu3fPEYeysjJMTExgZmaGtm3bYsyYMbhy5QoSExOFOn/99ReaNGkCNTU11KpVCwsWLJBZkuqff/7B//73P6ipqcHW1hanTp2CSCRCcHAwgP96bPft24f27dtDTU0Nv/76K4CshNjGxgZqamqoV68eNm7cKLSbmpqKiRMnwtTUFGpqaqhRowZ8fX2F/T4+PrCwsIBEIoGZmRkmTZok7IuPj8ewYcOgr68PDQ0NdO3aVXiDFQAEBgZCT08Phw4dgq2tLSQSCZ49e5bj/qSkpCAxMVFmIyqv3qaI8eYrt7i4uBLdXr9+rejbQkQko0L2eJ44cQJv3rzBjBkz8qwjEony3Hfjxg3cunULw4cPz7Fv5MiRmDFjBubMmQMA2L59e6GWkIqNjcWBAwcgFoshFmf1ihw/fhxDhgzBjz/+iLZt2+Lx48f47rvvAADz589HZmYm+vTpAwsLC1y9ehXv37/H1KlTc21/5syZ8PPzQ0BAACQSCbZu3Yr58+djw4YNaNSoEcLCwjBmzBhoampi+PDh+PHHH/Hnn39i3759sLCwwPPnz4XHAPbv3481a9Zgz549sLOzQ2xsLP7++2/hXO7u7nj48CH+/PNP6OjoYObMmejWrRvu378v9LR+/PgRvr6+2LZtGwwNDVG1atUcMfv6+mLBggUF3jsiIiKqGCpk4vngwQMAgLW1tVB2/fp1dOjQQfi8Z88e9OjRQ/jcunVrKCkpITU1FWlpafjuu+9yXRqqR48eGDt2LM6fP48mTZpg3759uHjxIrZv356jbnh4OLS0tJCZmYnk5GQAwKRJk6CpqQkAWLJkCWbNmiUkuLVq1cKiRYswY8YMzJ8/HydOnMDjx48REhICExMT4ZhOnTrlOJenpyf69esnfF60aBH8/PyEspo1a+L+/fvYsmULhg8fjujoaFhZWeF///sfRCIRLC0thWOjo6NhYmICJycnqKiowMLCAs2bNwcAIeEMDQ1F69atAQA7d+6Eubk5goODMXDgQABZw/0bN25EgwYN8vhXAry8vGSW6UpMTIS5uXme9YnKMgNJxle3oaxnVgKR/IdrsxJRWVMhE8/cODg44Pbt2wAAKyurHG9Y2rt3L2xsbJCWlobw8HBMmjQJ+vr6WLZsmUw9FRUVDBkyBAEBAXjy5Anq1q0LBweHXM9pbW2NP//8EykpKfjjjz/w22+/YcmSJcL+mzdv4vr16zJlGRkZ+PTpEz5+/IjIyEiYm5sLSScAIQH80udvknr9+jWeP3+OUaNGYcyYMUJ5enq68IiBu7s7OnXqBGtrazg7O6NHjx7o3LkzAGDgwIFYu3YtatWqBWdnZ3Tr1g09e/aEsrIyIiIioKysjBYtWgjtGhoawtraGhEREUKZqqpqnvclm0QigUQiybcOUXkxu9G7r27Dwjvkq9sgIirLKmTiaWVlBQCIjIwUFriXSCSoU6dOnseYm5sL+21sbPDkyRPMmzcPPj4+UFNTk6k7cuRItGjRAnfv3sXIkSPzbDN7hjyQNdHo4cOHGDduHH755RcAQGZmJhYsWCDTU5lNTU0NUqk030cCPpfdi5rdLgBs3bpVJkEEIAzzN27cGE+fPsXRo0dx6tQpYSLW/v37YW5ujsjISJw8eRKnTp3C+PHjsXLlSpw7dw55rb71Zazq6uqFjp2IiIgqhwqZeHbu3BkGBgZYvnw5Dh48WKw2xGIx0tPTkZqamiPxtLOzg52dHe7cuQPXIsxCnTdvHurWrYsffvgBjRs3RuPGjREZGZlnQlyvXj1ER0cjLi4OxsbGALIeGSiIsbExqlWrhidPnuT7/KmOjg5cXFzg4uKCAQMGwNnZGW/fvoWBgQHU1dXRq1cv9OrVCxMmTEC9evUQHh4OW1tbpKen4+rVq8JQ+5s3b/DgwQPY2NgU+l7kZ6SeNpTVK+RXs9SEeoQqOgQiIqIClfvf7gkJCcIQejYDAwNs27YNLi4u6N69OyZNmgQrKyt8+PABx44dA/Bfz1+2N2/eIDY2Funp6QgPD8e6devQoUOHPBdCPXPmDNLS0mSWZCpIrVq10Lt3b3h7e+PQoUPw9vZGjx49YG5ujoEDB0JJSQl37txBeHg4Fi9ejE6dOqF27doYPnw4VqxYgffv3wuTmgrqTfTx8cGkSZOgo6ODrl27IiUlBTdu3EB8fDymTJmCNWvWwNTUFA0bNoSSkhJ+++03mJiYQE9PD4GBgcjIyECLFi2goaGBX375Berq6rC0tIShoSF69+6NMWPGYMuWLdDW1sasWbNQrVo19O7du9D3goiIiCqfcp94hoSEoFGjRjJlw4cPR2BgIC5duoTly5dj2LBhePv2LXR1ddG0adMcE4sAwMnJCUBWQmpqaopu3brJPHv5pc+Htoti6tSpaNOmDa5evYouXbrg0KFDWLhwIVasWAEVFRXUq1cPo0ePFmIJDg7G6NGj0axZM9SqVQsrV65Ez549c/TCfmn06NHQ0NDAypUrMWPGDGhqasLe3h6enp4AAC0tLSxfvhwPHz6EWCxGs2bNcOTIESgpKUFPTw/Lli3DlClTkJGRAXt7e/z1118wNDQEkLVM0+TJk9GjRw+kpqbC0dERR44cKVNrh1ZUqudVIUrO+UeH62XZnneu30hERGURX5lZzoSGhuJ///sfHj16hNq1ays6nBKV/cqt5subc6g9D5LjklwTzy8ZGxtj165dcoiIiIgqu6K8MpO/3cu4gwcPQktLC1ZWVnj06BEmT56MNm3aVLikk4iIiCo+Jp5l3Pv37zFjxgw8f/4cVapUgZOTE/z8/BQdFimIVD33AQoTHROZz1y/kYiIyiIOtVOZwaH24uOsdiIiUpSiDLVXyHe1ExEREVHZw24lKnNOjj1Z4F9MREREVP6wx5OIiIiI5IKJJxERERHJBRNPIiIiIpILJp5EREREJBdMPImIiIhILph4EhEREZFccDklKnMc5+6GWKKu6DCoADdXDlN0CEREVM6wx5OIiIiI5II9nkSUg1bkUSilJeVbx9X1WK7lRkZGWLduXWmERURE5RwTTyLKQSktCUqp+SeecXH57yciIvoSh9qJiIiISC7Y40lEOWSqaBZYx1RfK9dyIyOjkg6HiIgqCCaeRJTDB+uuBdY5y1ntRERUROVuqF0kEiE4OFjRYVR47du3h6enp6LDICIiogpEJJVKpYoO4kvu7u549+5drglmbGws9PX1IZFI5B/YFwIDAzFixAjhc9WqVdG8eXMsW7YMdnZ2Cozs6719+xYqKirQ1taW2zkTExOhq6uLu1420FYTy+28VP5ZeIcrOgQiokor+/d3QkICdHR08q1b7no8TUxMFJ50SqVSpKenAwB0dHQQExODly9f4vDhw0hKSkL37t2RmppaqjGkpaWVavsGBgZyTTqJiIio4it3iefnQ+1RUVEQiUQ4cOAAOnToAA0NDTRo0ACXL1+WOebSpUtwdHSEuro6zM3NMWnSJCQl/bcUzK+//oqmTZtCW1sbJiYmcHV1xatXr4T9ISEhEIlEOH78OJo2bQqJRIILFy4I8ZiYmMDU1BRNmzbFDz/8gGfPniEyMrLQ54+JiUH37t2hrq6OmjVrYteuXahRowbWrl0rc92bN29G7969oampicWLFwMA/vrrLzRp0gRqamqoVasWFixYICTFAODj4wMLCwtIJBKYmZlh0qRJwr6NGzfCysoKampqMDY2xoABA4R9Xw61x8fHY9iwYdDX14eGhga6du2Khw8fCvsDAwOhp6eH48ePw8bGBlpaWnB2dkZMTEyh/l2JPrc0TA/TrhgWenN1dS3WNnnyZEVfKhFRpVLuEs/czJkzB9OmTcPt27dRt25dDB48WEi+wsPD0aVLF/Tr1w937tzB3r17cfHiRUycOFE4PjU1FYsWLcLff/+N4OBgPH36FO7u7jnOM2PGDPj6+iIiIgIODg459r979w67du0CAKioqBT6/MOGDcPLly8REhKC33//HT///LNM4ptt/vz56N27N8LDwzFy5EgcP34cQ4YMwaRJk3D//n1s2bIFgYGBWLJkCQBg//79WLNmDbZs2YKHDx8iODgY9vb2AIAbN25g0qRJWLhwISIjI3Hs2DE4OjrmeY/d3d1x48YN/Pnnn7h8+TKkUim6desm0/P68eNHrFq1Cr/88gvOnz+P6OhoTJs2Lc82U1JSkJiYKLMRAcDbFDHeFGGLi4sr1vb69WtFXyoRUaVSIWa1T5s2Dd27dwcALFiwAHZ2dnj06BHq1auHlStXwtXVVei9s7Kywo8//oh27dph06ZNUFNTw8iRI4W2atWqhR9//BHNmzfHhw8foKX135IxCxcuRKdOnWTOnZCQAC0tLUilUnz8+BEA0KtXL9SrVw8ACjx/VFQUTp06hevXr6Np06YAgG3btsHKyirHdbq6usrEOnToUMyaNQvDhw8XYl+0aBFmzJiB+fPnIzo6GiYmJnBycoKKigosLCzQvHlzAEB0dDQ0NTXRo0cPaGtrw9LSEo0aNcr1/j58+BB//vknQkND0bp1awDAzp07YW5ujuDgYAwcOBBA1vD/5s2bUbt2bQDAxIkTsXDhwjz/3Xx9fbFgwYI89xMREVHFUiESz897H01NTQEAr169Qr169XDz5k08evQIO3fuFOpIpVJkZmbi6dOnsLGxQVhYGHx8fHD79m28ffsWmZmZALKSM1tbW+G47MTwc9ra2rh16xbS09Nx7tw5rFy5Eps3bxb2F3T+Bw8eQFlZGY0bNxb216lTB/r6+jnO9eX5b968ievXrws9nACQkZGBT58+4ePHjxg4cCDWrl2LWrVqwdnZGd26dUPPnj2hrKyMTp06wdLSUtjn7OyMvn37QkNDI8d5IyIioKysjBYtWghlhoaGsLa2RkREhFCmoaEhJJ3Z/xa59dxm8/LywpQpU4TPiYmJMDc3z7M+VR4Gkowi1VfWMyvWebjmKBGRfFWIxDN7WBvIehYSgJA8ZmZm4vvvv5d5tjGbhYUFkpKS0LlzZ3Tu3Bm//vorjIyMEB0djS5duuSYIKSpmXNRbSUlJdSpUwcAUK9ePcTGxsLFxQXnz58v1Pk/fxb0c7ktNvDl+TMzM7FgwQL069cvR101NTWYm5sjMjISJ0+exKlTpzB+/HisXLkS586dExLmkJAQnDhxAt7e3vDx8cH169ehp6dXYCzZ5dn3G5D9dwCy/i3yWzRBIpEofKIYlU2zG70rUn0L75BSiYOIiEpWhUg889O4cWPcu3dPSA6/FB4ejn///RfLli0Tettu3LhR7PP98MMPWL16NQ4ePIi+ffsWeP569eohPT0dYWFhaNKkCQDg0aNHePfuXYHnaty4MSIjI/NsGwDU1dXRq1cv9OrVCxMmTEC9evUQHh6Oxo0bQ1lZGU5OTnBycsL8+fOhp6eHM2fO5EhkbW1tkZ6ejqtXrwpD7W/evMGDBw9gY2NTyDtDRERElV2ZTTwTEhJw+/ZtmTIDA4MitzNz5ky0bNkSEyZMwJgxY6CpqYmIiAicPHkS69evh4WFBVRVVbF+/XqMHTsWd+/exaJFi4odt46ODkaPHo358+ejT58+BZ6/Xr16cHJywnfffYdNmzZBRUUFU6dOhbq6ukxvYm68vb3Ro0cPmJubY+DAgVBSUsKdO3cQHh6OxYsXIzAwEBkZGWjRogU0NDTwyy+/QF1dHZaWljh06BCePHkCR0dH6Ovr48iRI8jMzIS1tXWO81hZWaF3794YM2YMtmzZAm1tbcyaNQvVqlVD7969i32v8jJSTxvK6mXrqxnqEaroEIiIiMq9MjurPSQkBI0aNZLZvL29i9yOg4MDzp07h4cPH6Jt27Zo1KgR5s2bJzwLamRkhMDAQPz222+wtbXFsmXLsGrVqq+KffLkyYiIiMBvv/1W4PkBYMeOHTA2NoajoyP69u2LMWPGQFtbG2pqavmep0uXLjh06BBOnjyJZs2aoWXLlli9ejUsLS0BAHp6eti6dSvatGkDBwcHnD59Gn/99RcMDQ2hp6eHAwcO4JtvvoGNjQ02b96M3bt357nwfUBAAJo0aYIePXqgVatWkEqlOHLkSI7hdSIiIqK8lMk3F1V2L168gLm5OU6dOoWOHTsqOhy5yX7zQfPlzRXa46l6XhWiZNneZhMdkzzrGxkZYd26daUdFhERUZlUlDcXla3xzErqzJkz+PDhA+zt7RETE4MZM2agRo0a+a6rSaVHlCzKkXjGJccpKBoiIqKKg4lnGZCWlobZs2fjyZMn0NbWRuvWrbFz504OYxMREVGFwsSzDOjSpQu6dOmi6DDo/5Oq53z6pKChdiIiIioYE0+iL6Q6puYo2+WxSwGREBERVSxldlY7EREREVUs7PGkMufk2JMFzoojIiKi8oc9nkREREQkF0w8iYiIiEgumHgSERERkVww8SQiIiIiuWDiSURERERywVntVOY4zt0NsURd0WEQEX21myuHKToEojKFPZ5EREREJBdMPImIiIhILjjUTkRElZZW5FEopSWVWvuursdKpB0jIyOsW7euRNoiUiQmnkREVGkppSVBKbX0Es+4uNJrm6g84lA7EREREckFezyJiKjSylTRLNX2TfW1SqQdIyOjEmmHSNGYeBIRUaX1wbprqbZ/lsspEcngUDvlqn379vD09FR0GERERFSBsMezgnF3d0dQUBB8fX0xa9YsoTw4OBh9+/aFVCotVDsHDhyAiopKaYWZr51a66CtJlbIucsKC+9wRYdARERU4tjjWQGpqalh+fLliI+PL3YbBgYG0NbWLsGoiIiIqLJj4lkBOTk5wcTEBL6+vrnuf/PmDQYPHozq1atDQ0MD9vb22L17t0ydz4favby80LJlyxztODg4YP78+cLngIAA2NjYQE1NDfXq1cPGjRtL7qIquKVheph2xVDYXF1dhW3y5MmKDo+IiKhEcKi9AhKLxVi6dClcXV0xadIkVK9eXWb/p0+f0KRJE8ycORM6Ojo4fPgwhg4dilq1aqFFixY52nNzc8OyZcvw+PFj1K5dGwBw7949hIeHY//+/QCArVu3Yv78+diwYQMaNWqEsLAwjBkzBpqamhg+fHiucaakpCAlJUX4nJiYWFK3oNx5myLGm5TPHi+Ii1NcMERERKWEPZ4VVN++fdGwYUOZHsls1apVw7Rp09CwYUPUqlULHh4e6NKlC3777bdc26pfvz4cHBywa9cuoWznzp1o1qwZ6tatCwBYtGgR/Pz80K9fP9SsWRP9+vXDDz/8gC1btuQZo6+vL3R1dYXN3Nz8K6+aiIiIyjImnhXY8uXLERQUhPv378uUZ2RkYMmSJXBwcIChoSG0tLRw4sQJREdH59mWm5sbdu7cCQCQSqXYvXs33NzcAACvX7/G8+fPMWrUKGhpaQnb4sWL8fjx4zzb9PLyQkJCgrA9f/68BK66fDKQZMDws83Y2FjYuH4fERFVFBxqr8AcHR3RpUsXzJ49G+7u7kK5n58f1qxZg7Vr18Le3h6amprw9PREampqnm25urpi1qxZuHXrFpKTk/H8+XN8++23AIDMzEwAWcPtXw7Vi8V5z06XSCSQSCRfcYUVx+xG72Q+W3iHKCQOIiKi0sTEs4JbtmwZGjZsKAyJA8CFCxfQu3dvDBkyBEBW4vjw4UPY2Njk2U716tXh6OiInTt3Ijk5GU5OTjA2NgYAGBsbo1q1anjy5InQC0pERET0JSaeFZy9vT3c3Nywfv16oaxOnTr4/fffcenSJejr62P16tWIjY3NN/EEsobbfXx8kJqaijVr1sjs8/HxwaRJk6Cjo4OuXbsiJSUFN27cQHx8PKZMmVKkmEfqaUNZvZJ/Nde3UXQERES5CvUIVXQIVI7xGc9KYNGiRTILx8+bNw+NGzdGly5d0L59e5iYmKBPnz4FtjNw4EC8efMGHz9+zFF/9OjR2LZtGwIDA2Fvb4927dohMDAQNWvWLOGrISIiovJKJC3sq2yISlliYiJ0dXXRfHlz9ngSERWC6nlViJJFcj2niY7JVx1vZGSEdevWlVA0VBZk//5OSEiAjo5OvnX5252IiKicEiWL5J54xiVznWEqPg61ExEREZFcsMeTiIionJKqy/9puZIYaqfKi4knERFROZXqmPf6y6Vll8eugisR5YFD7UREREQkF+zxpDLn5NiTBc6KIyIiovKHPZ5EREREJBdMPImIiIhILph4EhEREZFcMPEkIiIiIrlg4klEREREcsFZ7VTmOM7dDbFEXdFhEFE5dXPlMEWHQER5YI8nEREREckFezyJiKjEaUUehVJakkLO7ep6TCHnLS4jIyOsW7dO0WEQyQUTTyIiKnFKaUlQSlVM4hkXp5jzElHBONRORERERHLBHk8iIipxmSqaCju3qb6Wws5dHEZGRooOgUhumHgSEVGJ+2DdVWHnPstZ7URlFofaiYiIiEgu2ONZztWoUQOenp7w9PQs8bZFIhEOHjyIPn36lHjb+dmptQ7aamK5nrOysvAOV3QIRERUiVTYHs9Xr17h+++/h4WFBSQSCUxMTNClSxdcvnxZ0aGVqho1akAkEuHKlSsy5Z6enmjfvn2R2oqJiUHXroobLiMiIqKKpcL2ePbv3x9paWkICgpCrVq1EBcXh9OnT+Pt27eKDq3UqampYebMmTh37txXtWNiYlJCERERERFV0MTz3bt3uHjxIkJCQtCuXTsAgKWlJZo3by7USUhIwPTp0xEcHIxPnz6hadOmWLNmDRo0aAAAePz4MaZMmYIrV64gKSkJNjY28PX1hZOTk9DGxo0bsWbNGjx//hy6urpo27Yt9u/fDwBISUnB9OnTsWfPHiQmJgrtN2vWDAAQEhKCDh064NSpU5g5cybu37+Phg0bIiAgANbW1oWOITfff/89Nm3ahCNHjqBbt2651rl+/Tpmz56NsLAwpKWloWHDhlizZg0aN24s1Pl8qL1Vq1Zo164dli1bJux//fo1zMzMcOLECXTo0AGpqamYO3cudu7ciXfv3qF+/fpYvnx5kXtaSdbSMD28TSmdRw+UXV1Lpd28cKFsIqLKrUImnlpaWtDS0kJwcDBatmwJiUQis18qlaJ79+4wMDDAkSNHoKuriy1btqBjx4548OABDAwM8OHDB3Tr1g2LFy+GmpoagoKC0LNnT0RGRsLCwgI3btzApEmT8Msvv6B169Z4+/YtLly4IJxjxowZ+P333xEUFARLS0usWLECXbp0waNHj2BgYCDUmzNnDvz8/GBkZISxY8di5MiRCA0NBYACY8hLjRo1MHbsWHh5ecHZ2RlKSjmfqHj//j2GDx+OH3/8EQDg5+eHbt264eHDh9DW1s5R383NDStXroSvry9EIhEAYO/evTA2NhaS+xEjRiAqKgp79uyBmZkZDh48CGdnZ4SHh8PKyipHmykpKUhJSRE+JyYm5nlNldnbFDHelFLiibi40mmXiIgoFxXyGU9lZWUEBgYiKCgIenp6aNOmDWbPno07d+4AAM6ePYvw8HD89ttvaNq0KaysrLBq1Sro6ekJPZYNGjTA999/D3t7e1hZWWHx4sWoVasW/vzzTwBAdHQ0NDU10aNHD1haWqJRo0aYNGkSACApKQmbNm3CypUr0bVrV9ja2mLr1q1QV1eHv7+/TKxLlixBu3btYGtri1mzZuHSpUv49OlToWLIz9y5c/H06VPs3Lkz1/3ffPMNhgwZAhsbG9jY2GDLli34+PFjnsPzLi4uePnyJS5evCiU7dq1C66urlBSUsLjx4+xe/du/Pbbb2jbti1q166NadOm4X//+x8CAgJybdPX1xe6urrCZm5uXuB1ERERUflVIXs8gaxnPLt3744LFy7g8uXLOHbsGFasWIFt27bh9evX+PDhAwwNDWWOSU5OxuPHjwFkJY8LFizAoUOH8PLlS6SnpyM5ORnR0dEAgE6dOsHS0hK1atWCs7MznJ2d0bdvX2hoaODx48dIS0tDmzZthLZVVFTQvHlzREREyJzTwcFB+NnU1BRA1sQoCwuLAmPIj5GREaZNmwZvb2+4uLjk2P/q1St4e3vjzJkziIuLQ0ZGBj5+/Jhn20ZGRujUqRN27tyJtm3b4unTp7h8+TI2bdoEALh16xakUinq1q0rc1xKSkqO+5zNy8sLU6ZMET4nJiYy+cyFgSSj1NpW1jMrtbZzw4WyiYgqtwqbeAJZk2w6deqETp06wdvbG6NHj8b8+fMxfvx4mJqaIiQkJMcxenp6AIDp06fj+PHjWLVqFerUqQN1dXUMGDAAqampAABtbW3cunULISEhOHHiBLy9veHj44Pr169DKpUCgDAknU0qleYoU1FREX7O3peZmVmoGAoyZcoUbNy4ERs3bsyxz93dHa9fv8batWthaWkJiUSCVq1a5du2m5sbJk+ejPXr12PXrl2ws7MTnonNzMyEWCzGzZs3IRbLDgtraeX+FhGJRJLjMQjKaXajd6XWtoV3SKm1TURE9KUKOdSeF1tbWyQlJaFx48aIjY2FsrIy6tSpI7NVqVIFAHDhwgW4u7ujb9++sLe3h4mJCaKiomTaU1ZWhpOTE1asWIE7d+4gKioKZ86cQZ06daCqqiozLJ2WloYbN27Axsam0PEWJob8aGlpYd68eViyZEmO5ycvXLiASZMmoVu3brCzs4NEIsG///6bb3t9+vTBp0+fcOzYMezatQtDhgwR9jVq1AgZGRl49epVjnvK2fFEREQEVNAezzdv3mDgwIEYOXIkHBwcoK2tjRs3bmDFihXo3bs3nJyc0KpVK/Tp0wfLly+HtbU1Xr58iSNHjqBPnz5o2rQp6tSpgwMHDqBnz54QiUSYN2+e0BMJAIcOHcKTJ0/g6OgIfX19HDlyBJmZmbC2toampibGjRuH6dOnw8DAABYWFlixYgU+fvyIUaNGFfo6CoqhML777jusWbMGu3fvRosWLWTa/uWXX9C0aVMkJiZi+vTpUFdXz7ctTU1N9O7dG/PmzUNERARcP5sRXbduXbi5uWHYsGHw8/NDo0aN8O+//+LMmTOwt7fPc3Z9bkbqaUNZvUJ+Ncue9W0KrkNEVEmFeoQqOoQKp0L2eGppaaFFixZYs2YNHB0dUb9+fcybNw9jxozBhg0bIBKJcOTIETg6OmLkyJGoW7cuvv32W0RFRcHY2BgAsGbNGujr66N169bo2bMnunTpIrPUkJ6eHg4cOIBvvvkGNjY22Lx5M3bv3g07OzsAwLJly9C/f38MHToUjRs3xqNHj3D8+HHo6+sX+joKiqEwVFRUsGjRImHCUrbt27cjPj4ejRo1wtChQzFp0iRUrVq1wPbc3Nzw999/o23btjlm1gcEBGDYsGGYOnUqrK2t0atXL1y9epXPbRIREREAQCTNfiCRSMESExOhq6uL5subs8eTiKgcUT2vClGyqOCK5YyJTsV7VKw01lPO/v2dkJAAHR2dfOvytzsRERF9FVGyqEImnnHJXOu4pFXIoXYiIiIiKnvY40lERERfRapeMZ/aq6hD7YrExJOIiIi+Sqpj4daXLm92eexSdAgVDofaiYiIiEgu2ONJZc7JsScLnBVHRERE5Q97PImIiIhILph4EhEREZFcMPEkIiIiIrlg4klEREREcsHEk4iIiIjkgrPaqcxxnLsbYom6osOgMu7mymGKDoGIiIqIPZ5EREREJBfs8SQiudGKPAqltKQSacvV9VixjjMyMsK6detKJAYiIioaJp5EJDdKaUlQSi2ZxDMurmTaISIi+eFQOxERERHJBXs8iUhuMlU0S6wtU32tYh1nZGRUYjEQEVHRMPEkIrn5YN21xNo6y1ntRETlDofaiYiIiEgu2ONJZc5OrXXQVhMrOgwqoyy8wxUdAhERFVOF7/HMyMhA69at0b9/f5nyhIQEmJubY+7cuULZ77//jm+++Qb6+vrQ0NCAtbU1Ro4cibCwMKFOYGAgRCKRsGlpaaFJkyY4cOCATPvt27cX6qiqqqJ27drw8vJCSkpK6V4wERERURlV4Xs8xWIxgoKC0LBhQ+zcuRNubm4AAA8PDxgYGMDb2xsAMHPmTPj5+WHSpElYsGABqlevjujoaFy8eBGzZ8/G0aNHhTZ1dHQQGRkJAHj//j0CAgIwaNAg3Lt3D9bW1kK9MWPGYOHChUhNTcX169cxYsQIAICvr2+pXW9GRgZEIhGUlMrO3xSpqalQVVVVdBhURi0N08PblML3cCu7uhapfa7bSURUdpSd7KQUWVlZwdfXFx4eHnj58iX++OMP7NmzB0FBQVBVVcWVK1ewYsUKrF69GqtXr0bbtm1Rs2ZNtGvXDnPmzMGRI0dk2hOJRDAxMYGJiQmsrKywePFiKCkp4c6dOzL1NDQ0YGJiAgsLC/Tv3x+dOnXCiRMnhP1SqRQrVqxArVq1oK6ujgYNGmD//v0ybfz555+wsrKCuro6OnTogKCgIIhEIrx79w5AVg+snp4eDh06BFtbW0gkEjx79gypqamYMWMGqlWrBk1NTbRo0QIhISFCu8+ePUPPnj2hr68PTU1N2NnZCdcZHx8PNzc3GBkZQV1dHVZWVggICBCODQ8PxzfffAN1dXUYGhriu+++w4cPH4T97u7u6NOnD3x9fWFmZoa6devm+u+SkpKCxMREmY0qn7cpYrwpwhYXF1ek7fXr14q+RCIi+v8qfI9nNg8PDxw8eBDDhg1DeHg4vL290bBhQwDA7t27oaWlhfHjx+d6rEgkyrPdjIwM7NixAwDQuHHjPOv9/fffCA0NRY0aNYSyuXPn4sCBA9i0aROsrKxw/vx5DBkyBEZGRmjXrh2ioqIwYMAATJ48GaNHj0ZYWBimTZuWo+2PHz/C19cX27Ztg6GhIapWrYoRI0YgKioKe/bsgZmZGQ4ePAhnZ2eEh4fDysoKEyZMQGpqKs6fPw9NTU3cv38fWlpZy9PMmzcP9+/fx9GjR1GlShU8evQIycnJwrmcnZ3RsmVLXL9+Ha9evcLo0aMxceJEBAYGCjGdPn0aOjo6OHnyJKRSaa73xNfXFwsWLMjznhEREVHFUmkST5FIhE2bNsHGxgb29vaYNWuWsO/BgweoVasWlJX/ux2rV68WhuEB4P/+7/+gq6sLIOv50OwkLTk5GSoqKvj5559Ru3ZtmXNu3LgR27ZtQ1paGlJTU6GkpISffvoJAJCUlITVq1fjzJkzaNWqFQCgVq1auHjxIrZs2YJ27dph8+bNsLa2xsqVKwEA1tbWuHv3LpYsWSJznrS0NGzcuBENGjQAADx+/Bi7d+/GixcvYGZmBgCYNm0ajh07hoCAACxduhTR0dHo378/7O3thXNni46ORqNGjdC0aVMAkEmWd+7cieTkZOzYsQOamllrMm7YsAE9e/bE8uXLYWxsDADQ1NTEtm3b8h1i9/LywpQpU4TPiYmJMDc3z7M+VUwGkowi1VfWMytSfa7bSURUdlSaxBMAtm/fDg0NDTx9+hQvXryQSai+7NUcOXIkevXqhatXr2LIkCEyvXba2tq4desWgKwewFOnTuH777+HoaEhevbsKdRzc3PDnDlzkJiYiOXLl0NHR0eY5HT//n18+vQJnTp1kjlvamoqGjVqBACIjIxEs2bNZPY3b948x3WpqqrCwcFB+Hzr1i1IpdIcQ9wpKSkwNDQEAEyaNAnjxo3DiRMn4OTkhP79+wttjBs3Dv3798etW7fQuXNn9OnTB61btwYAREREoEGDBkLSCQBt2rRBZmYmIiMjhcTT3t6+wOc6JRIJJBJJvnWo4pvd6F2R6lt4h5RKHEREVPoqTeJ5+fJlrFmzBkePHsWKFSswatQonDp1CiKRCFZWVrh48SLS0tKgoqICANDT04Oenh5evHiRoy0lJSXUqVNH+Ozg4IATJ05g+fLlMomnrq6uUO/XX3+FnZ0d/P39MWrUKGRmZgIADh8+jGrVqsm0n52MSaXSHAlxbsPW6urqMvUyMzMhFotx8+ZNiMWykzaye2pHjx6NLl264PDhwzhx4gR8fX3h5+cHDw8PdO3aFc+ePcPhw4dx6tQpdOzYERMmTMCqVatyjSnb5+WfJ6ZEREREQCVJPJOTkzF8+HB8//33cHJyQt26dVG/fn1s2bIFY8eOxeDBg7F+/Xps3LgRkydPLtY5xGKx8BxkblRUVDB79mx4eXlh8ODBwkSg6OhotGvXLtdj6tWrl2Ni040bNwqMpVGjRsjIyMCrV6/Qtm3bPOuZm5tj7NixGDt2LLy8vLB161Z4eHgAyBqedHd3h7u7O9q2bYvp06dj1apVsLW1RVBQEJKSkoTkMjQ0FEpKSnlOIiqqkXraUFYvO1/NUI9QRYdARERUIVSKWe2zZs1CZmYmli9fDgCwsLCAn58fpk+fjqioKLRq1QpTp07F1KlTMWXKFFy8eBHPnj3DlStX4O/vn2N5IqlUitjYWMTGxuLp06f4+eefcfz4cfTu3TvfOFxdXSESibBx40Zoa2tj2rRp+OGHHxAUFITHjx8jLCwMP/30E4KCggAA33//Pf755x/MnDkTDx48wL59+4QJPPlNeKpbty7c3NwwbNgwHDhwAE+fPsX169exfPlyIZH19PTE8ePH8fTpU9y6dQtnzpyBjY0NAMDb2xt//PEHHj16hHv37uHQoUPCPjc3N6ipqWH48OG4e/cuzp49Cw8PDwwdOlQYZiciIiLKTYVPPM+dO4effvoJgYGBMsO/Y8aMQevWrTFq1ChIpVKsWrUKu3btQlhYGHr06AErKysMHDgQmZmZuHz5MnR0dIRjExMTYWpqClNTU9jY2MDPzw8LFy7EnDlz8o1FVVUVEydOxIoVK/DhwwcsWrQI3t7e8PX1hY2NDbp06YK//voLNWvWBADUrFkT+/fvx4EDB+Dg4IBNmzYJ5yjo2ciAgAAMGzYMU6dOhbW1tfC8avbknYyMDEyYMAE2NjZwdnaGtbU1Nm7cKMTp5eUFBwcHODo6QiwWY8+ePQCylog6fvw43r59i2bNmmHAgAHo2LEjNmzYUMR/GSIiIqpsRNK81rqhMmnJkiXYvHkznj9/ruhQSlxiYiJ0dXXRfHlzhQ+1q55XhSg5q1fZRMcEABciJyIiyk327++EhASZjrrclJ0H6ShXGzduRLNmzWBoaIjQ0FCsXLkSEydOVHRYFZ4oWSQknnHJcQqOhoiIqGJg4lnGPXz4EIsXL8bbt29hYWGBqVOnwsvLS9FhERERERUZE88ybs2aNVizZo2iw6h0pOr/PYHy+VA7ERERFR8TT6JcpDqmCj/v8tilwEiIiIgqjgo/q52IiIiIygb2eFKZc3LsyQJnxREREVH5wx5PIiIiIpIL9nhSmZG9pGxiYqKCIyEiIqLCyv69XZil4Zl4Upnx5s0bABDerkRERETlx/v376Grq5tvHSaeVGYYGBgAAKKjowv84lLJSExMhLm5OZ4/f87nauWE91z+eM/lj/dc/hR5z6VSKd6/fw8zM7MC6zLxpDJDSSnrkWNdXV3+j0rOdHR0eM/ljPdc/njP5Y/3XP4Udc8L22HEyUVEREREJBdMPImIiIhILph4UpkhkUgwf/58SCQSRYdSafCeyx/vufzxnssf77n8lZd7LpIWZu47EREREdFXYo8nEREREckFE08iIiIikgsmnkREREQkF0w8iYiIiEgumHhSmbFx40bUrFkTampqaNKkCS5cuKDokMolHx8fiEQimc3ExETYL5VK4ePjAzMzM6irq6N9+/a4d++eTBspKSnw8PBAlSpVoKmpiV69euHFixfyvpQy6/z58+jZsyfMzMwgEokQHBwss7+k7nF8fDyGDh0KXV1d6OrqYujQoXj37l0pX13ZVNA9d3d3z/G9b9mypUwd3vPC8/X1RbNmzaCtrY2qVauiT58+iIyMlKnD73nJKsw9rwjfcyaeVCbs3bsXnp6emDNnDsLCwtC2bVt07doV0dHRig6tXLKzs0NMTIywhYeHC/tWrFiB1atXY8OGDbh+/TpMTEzQqVMnvH//Xqjj6emJgwcPYs+ePbh48SI+fPiAHj16ICMjQxGXU+YkJSWhQYMG2LBhQ677S+oeu7q64vbt2zh27BiOHTuG27dvY+jQoaV+fWVRQfccAJydnWW+90eOHJHZz3teeOfOncOECRNw5coVnDx5Eunp6ejcuTOSkpKEOvyel6zC3HOgAnzPpURlQPPmzaVjx46VKatXr5501qxZCoqo/Jo/f760QYMGue7LzMyUmpiYSJctWyaUffr0SaqrqyvdvHmzVCqVSt+9eydVUVGR7tmzR6jzf//3f1IlJSXpsWPHSjX28giA9ODBg8LnkrrH9+/flwKQXrlyRahz+fJlKQDpP//8U8pXVbZ9ec+lUql0+PDh0t69e+d5DO/513n16pUUgPTcuXNSqZTfc3n48p5LpRXje84eT1K41NRU3Lx5E507d5Yp79y5My5duqSgqMq3hw8fwszMDDVr1sS3336LJ0+eAACePn2K2NhYmXstkUjQrl074V7fvHkTaWlpMnXMzMxQv359/nsUQknd48uXL0NXVxctWrQQ6rRs2RK6urr8d8hDSEgIqlatirp162LMmDF49eqVsI/3/OskJCQAAAwMDADwey4PX97zbOX9e87EkxTu33//RUZGBoyNjWXKjY2NERsbq6Coyq8WLVpgx44dOH78OLZu3YrY2Fi0bt0ab968Ee5nfvc6NjYWqqqq0NfXz7MO5a2k7nFsbCyqVq2ao/2qVavy3yEXXbt2xc6dO3HmzBn4+fnh+vXr+Oabb5CSkgKA9/xrSKVSTJkyBf/73/9Qv359APyel7bc7jlQMb7nyqV+BqJCEolEMp+lUmmOMipY165dhZ/t7e3RqlUr1K5dG0FBQcJD6MW51/z3KJqSuMe51ee/Q+5cXFyEn+vXr4+mTZvC0tIShw8fRr9+/fI8jve8YBMnTsSdO3dw8eLFHPv4PS8ded3zivA9Z48nKVyVKlUgFotz/KX16tWrHH9NU9FpamrC3t4eDx8+FGa353evTUxMkJqaivj4+DzrUN5K6h6bmJggLi4uR/uvX7/mv0MhmJqawtLSEg8fPgTAe15cHh4e+PPPP3H27FlUr15dKOf3vPTkdc9zUx6/50w8SeFUVVXRpEkTnDx5Uqb85MmTaN26tYKiqjhSUlIQEREBU1NT1KxZEyYmJjL3OjU1FefOnRPudZMmTaCioiJTJyYmBnfv3uW/RyGU1D1u1aoVEhIScO3aNaHO1atXkZCQwH+HQnjz5g2eP38OU1NTALznRSWVSjFx4kQcOHAAZ86cQc2aNWX283te8gq657kpl9/zUp++RFQIe/bskaqoqEj9/f2l9+/fl3p6eko1NTWlUVFRig6t3Jk6dao0JCRE+uTJE+mVK1ekPXr0kGprawv3ctmyZVJdXV3pgQMHpOHh4dLBgwdLTU1NpYmJiUIbY8eOlVavXl166tQp6a1bt6TffPONtEGDBtL09HRFXVaZ8v79e2lYWJg0LCxMCkC6evVqaVhYmPTZs2dSqbTk7rGzs7PUwcFBevnyZenly5el9vb20h49esj9esuC/O75+/fvpVOnTpVeunRJ+vTpU+nZs2elrVq1klarVo33vJjGjRsn1dXVlYaEhEhjYmKE7ePHj0Idfs9LVkH3vKJ8z5l4Upnx008/SS0tLaWqqqrSxo0byywhQYXn4uIiNTU1laqoqEjNzMyk/fr1k967d0/Yn5mZKZ0/f77UxMREKpFIpI6OjtLw8HCZNpKTk6UTJ06UGhgYSNXV1aU9evSQRkdHy/tSyqyzZ89KAeTYhg8fLpVKS+4ev3nzRurm5ibV1taWamtrS93c3KTx8fFyusqyJb97/vHjR2nnzp2lRkZGUhUVFamFhYV0+PDhOe4n73nh5XavAUgDAgKEOvyel6yC7nlF+Z6L/v/FEhERERGVKj7jSURERERywcSTiIiIiOSCiScRERERyQUTTyIiIiKSCyaeRERERCQXTDyJiIiISC6YeBIRERGRXDDxJCIiIiK5YOJJRERERHLBxJOIiIiI5IKJJxERERHJhbKiAyAiooqrffv2cHBwgJqaGrZt2wZVVVWMHTsWPj4+ig6NiBSAPZ5ERFSqgoKCoKmpiatXr2LFihVYuHAhTp48qeiwiEgBRFKpVKroIIiIqGJq3749MjIycOHCBaGsefPm+Oabb7Bs2TIFRkZEisAeTyIiKlUODg4yn01NTfHq1SsFRUNEisTEk4iISpWKiorMZ5FIhMzMTAVFQ0SKxMSTiIiIiOSCiScRERERyQUTTyIiIiKSC85qJyIiIiK5YI8nEREREckFE08iIiIikgsmnkREREQkF0w8iYiIiEgumHgSERERkVww8SQiIiIiuWDiSURERERywcSTiIiIiOSCiScRERERyQUTTyIiIiKSCyaeRERERCQX/w+khZMqh/CiKAAAAABJRU5ErkJggg==",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Choose the best model for each time series, metric, and cross validation window\n",
"evaluation_df['best_model'] = evaluation_df.idxmin(axis=1, numeric_only=True)\n",
"# count how many times a model wins per metric and cross validation window\n",
"count_best_model = evaluation_df.groupby(['cutoff', 'metric', 'best_model']).size().rename('n').to_frame().reset_index()\n",
"# plot results\n",
"sns.barplot(count_best_model, x='n', y='best_model', hue='metric')"
]
},
{
"cell_type": "markdown",
"id": "fc696ddb-b449-43d4-abd2-1a5824438799",
"metadata": {},
"source": [
"### Et pluribus unum: an inclusive forecasting Pie."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "eb61c4d2-130f-4999-aa30-a2f6035fc133",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# For the mse, calculate how many times a model wins\n",
"eval_series_df = evaluation_df.query('metric == \"mse\"').groupby(['unique_id']).mean(numeric_only=True)\n",
"eval_series_df['best_model'] = eval_series_df.idxmin(axis=1)\n",
"counts_series = eval_series_df.value_counts('best_model')\n",
"plt.pie(counts_series, labels=counts_series.index, autopct='%.0f%%')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "1c6f885e-ea20-4aeb-8ac9-860aaa9cd039",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"legendgroup": "y",
"line": {
"color": "#1f77b4",
"width": 1
},
"mode": "lines",
"name": "y",
"showlegend": true,
"type": "scatter",
"x": [
"2015-12-07T00:00:00",
"2015-12-08T00:00:00",
"2015-12-09T00:00:00",
"2015-12-10T00:00:00",
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"source": [
"sf.plot(Y_df, cv_df.drop(columns=['cutoff', 'y']), \n",
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},
{
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},
{
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"# for each time series\n",
"fcst_df = pd.melt(fcst_df.set_index('unique_id'), id_vars=['ds'], var_name='model', value_name='forecast', ignore_index=False)\n",
"fcst_df = fcst_df.join(eval_series_df[['best_model']])\n",
"fcst_df[['model', 'pred-interval']] = fcst_df['model'].str.split('-', expand=True, n=1)\n",
"fcst_df = fcst_df.query('model == best_model')\n",
"fcst_df['name'] = [f'forecast-{x}' if x is not None else 'forecast' for x in fcst_df['pred-interval']]\n",
"fcst_df = pd.pivot_table(fcst_df, index=['unique_id', 'ds'], values=['forecast'], columns=['name']).droplevel(0, axis=1).reset_index()"
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"source": [
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},
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]
},
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"cell_type": "markdown",
"id": "b9218a1a-5a27-44fb-bd36-b7cc87d47a13",
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"source": [
"- Train the statistical models in the full dataset.\n",
"- Increase the number of `num_samples` in the neural auto models.\n",
"- Include other models such as `Theta`, `ARIMA`, `RNN`, `LSTM`, ..."
]
},
{
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]
},
{
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"metadata": {},
"source": [
"- [Available Models StatsForecast](https://nixtla.github.io/statsforecast/examples/models_intro.html)\n",
"- [Available Models NeuralForecast](https://nixtla.github.io/neuralforecast/models.html)\n",
"- [Scalers and Loss Functions](https://nixtla.github.io/neuralforecast/losses.pytorch.html)\n",
"- [Getting Started NeuralForecast](https://nixtla.github.io/neuralforecast/examples/getting_started.html)\n",
"- [Hierarchical Reconciliation](https://nixtla.github.io/hierarchicalforecast/examples/tourismsmall.html)\n",
"- [Distributed ML Forecast (trees)](https://nixtla.github.io/mlforecast/docs/quick_start_distributed.html)\n",
"- [Using StatsForecast to train millions of time series](https://www.anyscale.com/blog/how-nixtla-uses-ray-to-accurately-predict-more-than-a-million-time-series)\n",
"- [Intermittent Demand Forecasting With Nixtla on Databricks](https://www.databricks.com/blog/2022/12/06/intermittent-demand-forecasting-nixtla-databricks.html)"
]
}
],
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