TY - JOUR

T1 - Learning with membership queries to minimize prediction error

AU - Ukita, Yoshifumi

AU - Matsushima, Toshiyasu

AU - Hirasawa, Shigeichi

PY - 1997/12/1

Y1 - 1997/12/1

N2 - In this paper, we consider the problem to predict the class of an unknown sample after learning from queries. We propose to evaluate a learning algorithm by a loss function for the prediction under a constraint. In this paper, the error probability for the prediction and the number of queries is defined as the loss function and the constraint, respectively. Then our objective is to minimize the error probability, the error probability is determined by what presentation order for instances to query and how to predict. Since the optimal prediction has been shown in previous researches, we only have to select the optimal presentation order for instances to query. We propose a lower bound used in the branch-and-bound algorithm to select the optimal presentation order for instances. Lastly, we show the efficiency of the algorithm using the derived lower bound by numerical computation.

AB - In this paper, we consider the problem to predict the class of an unknown sample after learning from queries. We propose to evaluate a learning algorithm by a loss function for the prediction under a constraint. In this paper, the error probability for the prediction and the number of queries is defined as the loss function and the constraint, respectively. Then our objective is to minimize the error probability, the error probability is determined by what presentation order for instances to query and how to predict. Since the optimal prediction has been shown in previous researches, we only have to select the optimal presentation order for instances to query. We propose a lower bound used in the branch-and-bound algorithm to select the optimal presentation order for instances. Lastly, we show the efficiency of the algorithm using the derived lower bound by numerical computation.

UR - http://www.scopus.com/inward/record.url?scp=0031363145&partnerID=8YFLogxK

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M3 - Conference article

AN - SCOPUS:0031363145

VL - 5

SP - 4412

EP - 4417

JO - Proceedings of the IEEE International Conference on Systems, Man and Cybernetics

JF - Proceedings of the IEEE International Conference on Systems, Man and Cybernetics

SN - 0884-3627

T2 - Proceedings of the 1997 IEEE International Conference on Systems, Man, and Cybernetics. Part 1 (of 5)

Y2 - 12 October 1997 through 15 October 1997

ER -