NonParametric Time Series (NPTS) Algorithm
The Amazon Forecast NonParametric Time Series (NPTS) algorithm is a scalable, probabilistic baseline forecaster. It predicts the future value distribution of a given time series by sampling from past observations. The predictions are bounded by the observed values. NPTS is especially useful when the time series is intermittent (or sparse, containing many 0s) and bursty. For example, forecasting demand for individual items where the time series has many low counts. Amazon Forecast provides variants of NPTS that differ in which of the past observations are sampled and how they are sampled. To use an NPTS variant, you choose a hyperparameter setting.
How NPTS Works
Similar to classical forecasting methods, such as exponential smoothing (ETS) and autoregressive integrated moving average (ARIMA), NPTS generates predictions for each time series individually. The time series in the dataset can have different lengths. The time points where the observations are available are called the training range and the time points where the prediction is desired are called the prediction range.
Amazon Forecast NPTS forecasters have the following variants: NPTS, seasonal NPTS, climatological forecaster, and seasonal climatological forecaster.
Topics
NPTS
In this variant, predictions are generated by sampling from all observations in the
training range of the time series. However, instead of uniformly sampling from all
of the
observations, this variant assigns weight to each of the past observations according
to how
far it is from the current time step where the prediction is needed. In particular,
it uses
weights that decay exponentially according to the distance of the past observations.
In this
way, the observations from the recent past are sampled with much higher probability
than the
observations from the distant past. This assumes that the near past is more indicative
for
the future than the distant past. You can control the amount of decay in the weights
with
the exp_kernel_weights
hyperparameter.
To use this NPTS variant in Amazon Forecast, set the use_seasonal_model
hyperparameter to False
and accept all other default settings.
Seasonal NPTS
The seasonal NPTS variant is similar to NPTS except that instead of sampling from all of the observations, it uses only the observations from the past seasons . By default, the season is determined by the granularity of the time series. For example, for an hourly time series, to predict for hour t, this variant samples from the observations corresponding to the hour t on the previous days. Similar to NPTS, observation at hour t on the previous day is given more weight than the observations at hour t on earlier days. For more information about how to determine seasonality based on the granularity of the time series, see Seasonal Features.
Climatological Forecaster
The climatological forecaster variant samples all of the past observations with uniform probability.
To use the climatological forecaster, set the kernel_type
hyperparameter to
uniform
and the use_seasonal_model
hyperparameter to
False
. Accept the default settings for all other hyperparameters.
Seasonal Climatological Forecaster
Similar to seasonal NPTS, the seasonal climatological forecaster samples the observations from past seasons, but samples them with uniform probability.
To use the seasonal climatological forecaster, set the kernel_type
hyperparameter to uniform
. Accept all other default settings for all of the
other hyperparameters.
Seasonal Features
To determine what corresponds to a season for the seasonal NPTS and seasonal climatological forecaster, use the features listed in the following table. The table lists the derived features for the supported basic time frequencies, based on granularity. Amazon Forecast includes these feature time series, so you don't have to provide them.
Frequency of the Time Series  Feature to Determine Seasonality 

Minute  minuteofhour 
Hour  hourofday 
Day  dayofweek 
Week  dayofmonth 
Month  monthofyear 
Best Practices
When using the Amazon Forecast NPTS algorithms, consider the following best practices for preparing the data and achieving optimal results:

Because NPTS generates predictions for each time series individually, provide the entire time series when calling the model for prediction. Also, accept the default value of the
context_length
hyperparameter. This causes the algorithm to use the entire time series. 
If you change the
context_length
(because the training data is too long), make sure it is large enough and covers multiple past seasons. For example, for a daily time series, this value must be at least 365 days (provided that you have that amount of data).
NPTS Hyperparameters
The following table lists the hyperparameters that you can use in the NPTS algorithm.
Parameter Name  Description 

context_length  The number of timepoints in the past that the model uses for making the
prediction. By default, it uses all of the time points in the training range.
Typically, the value for this hyperparameter should be large and should cover multiple
past seasons. For example, for the daily time series this value must be at least 365
days.

kernel_type  The kernel to use to define the weights used for sampling past observations.

exp_kernel_weights 
Valid only when The scaling parameter of the kernel. For faster (exponential) decay in the weights given to the observations in the distant past, use a large value.

use_seasonal_model  Whether to use a seasonal variant.

use_default_time_features 
Valid only for the seasonal NPTS and seasonal climatological forecaster variants. Whether to use seasonal features based on the granularity of the time series to determine seasonality.
