Title
Decision Trees for Function Evaluation - Simultaneous Optimization of Worst and Expected Cost
Abstract
In several applications of automatic diagnosis and active learning, a central problem is the evaluation of a discrete function by adaptively querying the values of its variables until the values read uniquely determine the value of the function. In general, the process of reading the value of a variable might involve some cost. This cost should be taken into account when deciding the next variable to read. The goal is to design a strategy for evaluating the function incurring little cost (in the worst case or in expectation according to a prior distribution on the possible variables’ assignments). Our algorithm builds a strategy (decision tree) which attains a logarithmic approximation simultaneously for the expected and worst cost spent. This is best possible under the assumption that .
Year
DOI
Venue
2017
https://doi.org/10.1007/s00453-016-0225-9
Algorithmica
Keywords
Field
DocType
Decision tress,Approximation algorithms,Hardness of approximation,Function evaluation
Decision tree,Mathematical optimization,Combinatorics,Active learning,Logarithm,Expected cost,Simultaneous optimization,Prior probability,Mathematics
Journal
Volume
Issue
Citations 
79
3
2
PageRank 
References 
Authors
0.43
28
3
Name
Order
Citations
PageRank
Ferdinando Cicalese145048.20
Eduardo Sany Laber222927.12
Aline Medeiros Saettler3184.17