Update theoretical_description_classification.rst

Assuming the scores are ranked from highest to lowest until the conformity score of the true label is found, then the true label Yᵢ should be equal to  πₖ (the last label to be included), not πⱼ. j is a running index, so  Yᵢ  cannot be equal to πⱼ for all j from 1 to k.

Author: AndreaPi

doc/theoretical_description_classification.rst

@@ -67,7 +67,7 @@ The conformity scores are computed by summing the ranked scores of each label, f
 label of the observation :
 
 .. math:: 
-   s_i(X_i, Y_i) = \sum^k_{j=1} \hat{\mu}(X_i)_{\pi_j} \quad \text{where} \quad Y_i = \pi_j 
+   s_i(X_i, Y_i) = \sum^k_{j=1} \hat{\mu}(X_i)_{\pi_j} \quad \text{where} \quad Y_i = \pi_k 
 
 
 The quantile :math:`\hat{q}` is then computed the same way as the LABEL method.
@@ -198,4 +198,4 @@ NeurIPS 202 (spotlight), 2020.
 
 [3] Anastasios Nikolas Angelopoulos, Stephen Bates, Michael Jordan and Jitendra Malik.
 "Uncertainty Sets for Image Classifiers using Conformal Prediction."
-International Conference on Learning Representations 2021.
+International Conference on Learning Representations 2021.