Cellular Tree Classifiers

The cellular tree classifier model addresses a fundamental problem in the design of classifiers for a parallel or distributed computing world: Given a data set, is it sufficient to apply a majority rule for classification, or shall one split the data into two or more parts and send each part to a potentially different computer (or cell) for further processing? At first sight, it seems impossible to define with this paradigm a consistent classifier as no cell knows the ''original data size'', $n$. However, we show that this is not so by exhibiting two different consistent classifiers. The consistency is universal but is only shown for distributions with nonatomic marginals.

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Additional Info

Field Value
Source https://hal.science/hal-00778520
Author Biau, Gérard, Devroye, Luc
Maintainer CCSD
Last Updated May 10, 2026, 14:07 (UTC)
Created May 10, 2026, 14:07 (UTC)
Identifier hal-00778520
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire de Probabilités et Modèles Aléatoires (LPMA) ; Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)
creator Biau, Gérard
date 2013-01-20T00:00:00
harvest_object_id ea23e80d-8d62-47d0-b96b-c7baff6023a9
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-11-20T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1301.4679
set_spec type:UNDEFINED