Isotone Optimization in R: Pool-Adjacent-Violators Algorithm (PAVA) and Active Set Methods

Autor: Jan de Leeuw, Kurt Hornik, Patrick Mair
Jazyk: angličtina
Rok vydání: 2009
Předmět:
Zdroj: Journal of Statistical Software, Vol 32, Iss 05 (2009)
Druh dokumentu: article
ISSN: 1548-7660
Popis: In this paper we give a general framework for isotone optimization. First we discuss a generalized version of the pool-adjacent-violators algorithm (PAVA) to minimize a separable convex function with simple chain constraints. Besides of general convex functions we extend existing PAVA implementations in terms of observation weights, approaches for tie handling, and responses from repeated measurement designs. Since isotone optimization problems can be formulated as convex programming problems with linear constraints we the develop a primal active set method to solve such problem. This methodology is applied on specific loss functions relevant in statistics. Both approaches are implemented in the R package isotone.
Databáze: Directory of Open Access Journals