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dc.contributor.advisorMoshkov, Mikhail
dc.contributor.authorHussain, Shahid
dc.date.accessioned2016-07-10T08:44:28Z
dc.date.available2016-07-10T08:44:28Z
dc.date.issued2016-07-10
dc.identifier.doi10.25781/KAUST-8602N
dc.identifier.urihttp://hdl.handle.net/10754/615875
dc.description.abstractThis thesis is devoted to the development of extensions of dynamic programming to the study of decision trees. The considered extensions allow us to make multi-stage optimization of decision trees relative to a sequence of cost functions, to count the number of optimal trees, and to study relationships: cost vs cost and cost vs uncertainty for decision trees by construction of the set of Pareto-optimal points for the corresponding bi-criteria optimization problem. The applications include study of totally optimal (simultaneously optimal relative to a number of cost functions) decision trees for Boolean functions, improvement of bounds on complexity of decision trees for diagnosis of circuits, study of time and memory trade-off for corner point detection, study of decision rules derived from decision trees, creation of new procedure (multi-pruning) for construction of classifiers, and comparison of heuristics for decision tree construction. Part of these extensions (multi-stage optimization) was generalized to well-known combinatorial optimization problems: matrix chain multiplication, binary search trees, global sequence alignment, and optimal paths in directed graphs.
dc.language.isoen
dc.subjectdynamic programming
dc.subjectDecision Trees
dc.subjectcost functions
dc.subjectbi-criteria optimization
dc.subjectmulti-stage optimization
dc.subjectData Mining
dc.titleExtensions of Dynamic Programming: Decision Trees, Combinatorial Optimization, and Data Mining
dc.typeDissertation
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
thesis.degree.grantorKing Abdullah University of Science and Technology
dc.contributor.committeememberAlouini, Mohamed-Slim
dc.contributor.committeememberShihada, Basem
dc.contributor.committeememberBoros, Endre
thesis.degree.disciplineComputer Science
thesis.degree.nameDoctor of Philosophy
refterms.dateFOA2018-06-13T12:38:33Z


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