Using fewer examples to simulate equivalence queries

It is well known that an algorithm that learns exactly using Equivalence queries can be transformed into a PAC algorithm that asks for random labelled examples. The first transformation due to Angluin (1988) uses a number of examples quadratic in the number of queries. Later, Littlestone (1989) and...

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Detalles Bibliográficos
Autor: Gavaldà Mestre, Ricard|||0000-0003-4736-7179
Tipo de recurso: informe técnico
Fecha de publicación:1996
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/83407
Acceso en línea:https://hdl.handle.net/2117/83407
Access Level:acceso abierto
Palabra clave:Equivalence queries
PAC algorithm
Àrees temàtiques de la UPC::Informàtica::Informàtica teòrica
Descripción
Sumario:It is well known that an algorithm that learns exactly using Equivalence queries can be transformed into a PAC algorithm that asks for random labelled examples. The first transformation due to Angluin (1988) uses a number of examples quadratic in the number of queries. Later, Littlestone (1989) and Schuurmans and Greiner (1995) gave transformations using linearly many examples. We present here another analysis of Littlestone's transformation which is both simpler and gives better leading constants. Our constants are still worse than Schuurmans and Greiner's, but while ours is a worst-case bound on the number of examples to achieve PAC learning, theirs is only an expected one.