Title :
Formal analysis of leave-one out method based on decremental sampling scheme
Author :
Tsumoto, Shusaku ; Hirano, Shoji
Author_Institution :
Dept. of Med. Inf., Shimane Univ., Izumo, Japan
Abstract :
This paper proposes a new framework for formal analysis of leave-out one methods based on decremental sampling scheme, which gives a reversed operation of incremental sampling scheme. This technique is applied to the leave-one out method for rules defined by the propositions whose constraints were defined by inequalities of accuracy and coverage. The results show that expected values of indices and error rates can be obtained as exact formulae.
Keywords :
error statistics; sampling methods; decremental sampling scheme; error rates; formal analysis; incremental sampling scheme; leave-one out method; Artificial neural networks; Linear matrix inequalities; accuracy; coverage; decremental sampling scheme; leave-one-out; rule induction;
Conference_Titel :
Systems, Man and Cybernetics (SMC), 2014 IEEE International Conference on
Conference_Location :
San Diego, CA
DOI :
10.1109/SMC.2014.6974349