probabilistic forecasting

[ahmadshahi]

When we forecast futures values, there is always uncertainty around the values that needed to be quantified. This is called risk. It would be nice if we can provide a probabilistic forecast around the forecasted values.

[nicl-nno]

The idea of basic implementation is the following:

1. Obtain set of TOP-n best pipelines from OptHistory (see 'leaderboard')
2. Estimate the quantile-based boundaries of interval for each point of forecast
3. Add interval to the visualisation of forecast.

Expected results:

• new feature for the interval forecasts
• modified visulisation
• unit test for new features
• new example (of modified old example) for interval forecasting

[valer1435]

Closed by https://github.com/aimclub/FEDOT/pull/1149