TY - GEN
T1 - A generalization of independence in naive bayes model
AU - Fujimoto, Yu
AU - Murata, Noboru
PY - 2010/11/8
Y1 - 2010/11/8
N2 - In this paper, generalized statistical independence is proposed from the viewpoint of generalized multiplication characterized by a monotonically increasing function and its inverse function, and it is implemented in naive Bayes models. This paper also proposes an idea of their estimation method which directly uses empirical marginal distributions to retain simplicity of calculation. Our method is interpreted as an optimization of a rough approximation of the Bregman divergence so that it is expected to have a kind of robust property. Effectiveness of our proposed models is shown by numerical experiments on some benchmark data sets.
AB - In this paper, generalized statistical independence is proposed from the viewpoint of generalized multiplication characterized by a monotonically increasing function and its inverse function, and it is implemented in naive Bayes models. This paper also proposes an idea of their estimation method which directly uses empirical marginal distributions to retain simplicity of calculation. Our method is interpreted as an optimization of a rough approximation of the Bregman divergence so that it is expected to have a kind of robust property. Effectiveness of our proposed models is shown by numerical experiments on some benchmark data sets.
KW - Bregman divergence
KW - Copula
KW - Generalized independence
KW - Naive Bayes
KW - Nonloglinear marginal model
UR - http://www.scopus.com/inward/record.url?scp=78049368437&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=78049368437&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-15381-5_19
DO - 10.1007/978-3-642-15381-5_19
M3 - Conference contribution
AN - SCOPUS:78049368437
SN - 3642153801
SN - 9783642153808
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 153
EP - 161
BT - Intelligent Data Engineering and Automated Learning, IDEAL 2010 - 11th International Conference, Proceedings
T2 - 11th International Conference on Intelligent Data Engineering and Automated Learning, IDEAL 2010
Y2 - 1 September 2010 through 3 September 2010
ER -