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UPD: precisions on theoretical description cs
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Candice Moyet committed Aug 1, 2023
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.. _theoretical_description_conformity_scores:

=========================================
Theoretical Description Conformity Scores
=========================================
=============================================
Theoretical Description for Conformity Scores
=============================================

The :class:`mapie.conformity_scores.ConformityScore` class implements various
methods to compute conformity scores for regression.
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.. math:: |Y-\hat{\mu}(X)|

With this score the intervals of predictions will be constant over the whole dataset.
This score is symmetric (*see above for definition*).
This score is by default symmetric (*see above for definition*).

2. The gamma score
==================
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.. math:: \frac{|Y-\hat{\mu}(X)|}{\hat{\mu}(X)}

It computes adaptive intervals : intervals of different size on each example.
This score is asymmetric (*see definition above*).
This score is by default asymmetric (*see definition above*).

Compared to the absolute residual score, it allows to see regions with smaller intervals
than others which are interpreted as regions with more certainty than others.
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