Alan K. Mackworth's Publications

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Knowledge Reuse for Open Constraint-Based Inference

L. Chang and Alan K. Mackworth. Knowledge Reuse for Open Constraint-Based Inference. In Proceedings of the Workshop on Knowledge Capture and Constraint Programming, KCCP-07, Whistler, BC, January 2008.

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Abstract

Open constraint programming, including open constraint satisfaction (Open COP) and open constraint optimization (Open COP), is an extended constraint programming framework designed to model and solve practical problems with openworld settings. We extend open constraint programming to the Open Constraint-Based Inference (Open CBI) framework based on the unified semiring-based CBI framework. The Open CBI framework subsumes both Open CSP and Open COP and also provides extensibility to cover more application domains. Furthermore, the Open CBI framework relaxes the assumption of domain value being incrementally discovered and revealed in non-decreasing order of cost, as required in open constraint programming. We have shown that junction tree representations and junction tree algorithms can be applied to handle Open CBI problems. We show in this paper that the junction tree representation is a suitable graphical model to reuse the intermediate computational results to subproblems. We also proposed consistency maintenance algorithms for junction tree to Open CBI problems with domain value addition and removal. We analyze and show that both answering the satisfiability or the optimal weight of the problem and finding total assignment of variables can be achieved in time that is linear in the size of the junction tree, which is fractionally smaller than the time needed to enforce the junction tree consistency from scratch. We also discuss directions of future research in applying graphical models to problems with open-world settings.

BibTeX

@InProceedings{ChangMackworthKCCP07,
  author =	 {L. Chang and Alan K. Mackworth},
  title =	 {Knowledge Reuse for Open Constraint-Based Inference},
  year =	 {2008}, 
  month =        {January},
  booktitle =	 {Proceedings of the Workshop on Knowledge Capture and Constraint Programming, KCCP-07}, 
  address =      {Whistler, BC},
  abstract =	 {Open constraint programming, including open constraint satisfaction
			     (Open COP) and open constraint optimization (Open
			     COP), is an extended constraint programming framework
			    designed to model and solve practical problems with openworld
			    settings. We extend open constraint programming to
			    the Open Constraint-Based Inference (Open CBI) framework
 		  	    based on the unified semiring-based CBI framework. The
		 	    Open CBI framework subsumes both Open CSP and Open
			    COP and also provides extensibility to cover more application
			   domains. Furthermore, the Open CBI framework relaxes
			   the assumption of domain value being incrementally
			  discovered and revealed in non-decreasing order of cost, as
			   required in open constraint programming. We have shown
			   that junction tree representations and junction tree algorithms
			   can be applied to handle Open CBI problems. We show in
			   this paper that the junction tree representation is a suitable
			   graphical model to reuse the intermediate computational results
			   to subproblems. We also proposed consistency maintenance
			   algorithms for junction tree to Open CBI problems
			   with domain value addition and removal. We analyze and
			   show that both answering the satisfiability or the optimal
			   weight of the problem and finding total assignment of variables
			   can be achieved in time that is linear in the size of
			   the junction tree, which is fractionally smaller than the time
			   needed to enforce the junction tree consistency from scratch.
			  We also discuss directions of future research in applying
			  graphical models to problems with open-world settings.},
  bib2html_pubtype ={Refereed Conference Proceeding},
  bib2html_rescat ={},
}

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