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Titlebook: Extensions of Dynamic Programming for Combinatorial Optimization and Data Mining; Hassan AbouEisha,Talha Amin,Mikhail Moshkov Book 2019 Sp

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More Applications of Multi-stage Optimization of Decision Treesls of computation for adaptive algorithms. In addition, we suggest the usage of decision tests as models of computation for non-adaptive algorithms. We show results on the complexity of two problems: problem of eight element sorting and a modified majority problem. Finally, the chapter concludes wit
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Bi-criteria Optimization Problem for Decision Trees: Cost Versus Uncertaintyain how to construct the set of Pareto optimal points and graphs of functions which describe the relationships between the considered cost function and uncertainty measure. We end this chapter with some illustrative examples and a discussion of multi-pruning of decision trees with applications from
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Different Kinds of Rules and Systems of Rulesecision rules. Decision rules are most commonly used in sets. Such sets can be referred to as systems of decision rules. Both decision rules and systems of decision rules can be analyzed with regards to different criteria (cost functions). In this chapter, we provide definitions and basic concepts w
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Multi-stage Optimization of Decision Rulesrules with respect to multiple criteria. In some cases, we can find decision rules that are simultaneously optimal with respect to multiple criteria. We consider this phenomenon when dealing with length and coverage. This chapter also contains a simulation of a greedy algorithm for the construction
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Bi-criteria Optimization Problem for Decision Rules and Systems of Rules: Cost Versus Cost decision rule systems relative two cost functions. We also show how the constructed set of Pareto optimal points can be transformed into the graphs of functions which describe the relationships between the considered cost functions. Further, we use the set of Pareto optimal points to measure the vi
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Bi-criteria Optimization Problem for Decision Rules and Systems of Rules: Cost Versus Uncertainty decision rule systems relative to cost and uncertainty. We also show how the constructed set of Pareto optimal points can be transformed into the graphs of functions which describe the relationships between the considered cost function and uncertainty measure. Finally, we present experiments displa
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