Learning ordered binary decision diagrams
We study the learnability of ordered binary decision diagrams (obdds). We give a polynomial-time algorithm using membership and equivalence queries that finds the minimum obdd for the target respecting a given ordering. We also prove that both types of queries and the restriction to a given ordering...
| Autores: | , |
|---|---|
| Formato: | informe técnico |
| Fecha de publicación: | 1995 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/82261 |
| Acesso em linha: | https://hdl.handle.net/2117/82261 |
| Access Level: | acceso abierto |
| Palavra-chave: | Obdds Ordered binary decision diagrams Àrees temàtiques de la UPC::Informàtica |
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Learning ordered binary decision diagrams Gavaldà Mestre, Ricard|||0000-0003-4736-7179 Guijarro Guillem, David Obdds Ordered binary decision diagrams Àrees temàtiques de la UPC::Informàtica We study the learnability of ordered binary decision diagrams (obdds). We give a polynomial-time algorithm using membership and equivalence queries that finds the minimum obdd for the target respecting a given ordering. We also prove that both types of queries and the restriction to a given ordering are necessary if we want minimality in the output, unless P=NP. If learning has to occur with respect to the optimal variable ordering, polynomial-time learnability implies the approximability of two NP-hard optimization problems: the problem of finding the optimal variable ordering for a given obdd and the Optimal Linear Arrangement problem on graphs. https://hdl.handle.net/2117/82261 |
| title |
Learning ordered binary decision diagrams |
| spellingShingle |
Learning ordered binary decision diagrams Gavaldà Mestre, Ricard|||0000-0003-4736-7179 Obdds Ordered binary decision diagrams Àrees temàtiques de la UPC::Informàtica |
| title_short |
Learning ordered binary decision diagrams |
| title_full |
Learning ordered binary decision diagrams |
| title_fullStr |
Learning ordered binary decision diagrams |
| title_full_unstemmed |
Learning ordered binary decision diagrams |
| title_sort |
Learning ordered binary decision diagrams |
| author |
Gavaldà Mestre, Ricard|||0000-0003-4736-7179 |
| author_facet |
Gavaldà Mestre, Ricard|||0000-0003-4736-7179 Guijarro Guillem, David |
| author_role |
author |
| author2 |
Guijarro Guillem, David |
| author2_role |
author |
| topic |
Obdds Ordered binary decision diagrams Àrees temàtiques de la UPC::Informàtica |
| topic_facet |
Obdds Ordered binary decision diagrams Àrees temàtiques de la UPC::Informàtica |
| description |
We study the learnability of ordered binary decision diagrams (obdds). We give a polynomial-time algorithm using membership and equivalence queries that finds the minimum obdd for the target respecting a given ordering. We also prove that both types of queries and the restriction to a given ordering are necessary if we want minimality in the output, unless P=NP. If learning has to occur with respect to the optimal variable ordering, polynomial-time learnability implies the approximability of two NP-hard optimization problems: the problem of finding the optimal variable ordering for a given obdd and the Optimal Linear Arrangement problem on graphs. |
| publishDate |
1995 |
| format |
report |
| url |
https://hdl.handle.net/2117/82261 |
| language |
eng |
| eu_rights_str_mv |
openAccess |
| institution |
Universitat Politècnica de Catalunya (UPC) |
| collection |
UPCommons. Portal del coneixement obert de la UPC |
| reponame_str |
UPCommons. Portal del coneixement obert de la UPC |
| instname_str |
Universitat Politècnica de Catalunya (UPC) |
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1878438985399795712 |
| publishDateSort |
1995 |
| author_browse |
Gavaldà Mestre, Ricard|||0000-0003-4736-7179 Guijarro Guillem, David |
| score |
6,9303427 |