%0 Unpublished work %T Average sensitivity of nested canalizing multivalued functions %+ Institut de Mathématiques de Marseille (I2M) %+ Institut de Recherche en Informatique Fondamentale (IRIF (UMR_8243)) %A Remy, Élisabeth %A Ruet, Paul %8 2022-11-29 %D 2022 %Z 2211.14649 %Z Mathematics [math]Preprints, Working Papers, ... %X We prove that the average sensitivity of nested canalizing multivalued functions is bounded above by a constant. In doing so, we introduce a generalization of nested canalizing multivalued functions, which we call weakly nested canalizing, for which this upper bound holds. %G English %L hal-03876956 %U https://cnrs.hal.science/hal-03876956 %~ CNRS %~ UNIV-AMU %~ EC-MARSEILLE %~ INSMI %~ I2M %~ I2M-2014- %~ UNIV-PARIS %~ UNIVERSITE-PARIS %~ UP-SCIENCES %~ IRIF