A simple proof of an identity of Lacasse
type: Item
instance of: scholarly article
title: A simple proof of an identity of Lacasse
zbMATH Open document ID: 1267.05027
author: Yidong Sun
published in: The Electronic Journal of Combinatorics
publication date: 2013-06-07T00:00:00Z
full work available at URL: v20i2p11
review text: Summary: In this note, using the derangement polynomials and their umbral representation, we give another simple proof of an identity conjectured by \textit{A. Lacasse} [``Bornes PAC-Bayes et algorithmes d'apprentissage''. Quebec: Universite Laval (Dissertation) (2010)] in the study of the PAC-Bayesian machine learning theory.
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05A19
zbMATH DE Number: 6171926
zbMATH Keywords: derangement polynomial
zbMATH Keywords: umbral operator
MaRDI profile type: Publication
cites work: Decomposition of triply rooted trees
cites work: Q3176583
cites work: Applications of the classical umbral calculus
cites work: An identity conjectured by Lacasse via the tree function
cites work: Q3320678
cites work: The umbral calculus
cites work: \(\lambda \)-factorials of \(n\)
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description: scientific article; zbMATH DE number 6171926