Abstract
The f-divergence, which is defined by using a class of convex functions, is used as a generalized phenotype of discriminant measures between two probability distributions. In this paper, we derive a new class of discriminant measures defined on the set of all positive finite measures using the invariance of the f-divergence. This is a class of discriminant measures different from ones which have often been used. We mention some aspects of its effectiveness concerning the extension of discriminant measures by showing that the proposed class includes measures that facilitate statistical data processing and are suitable for the explicit formulation and analysis of the ensemble learning method.
| Original language | English |
|---|---|
| Pages (from-to) | 35-42 |
| Number of pages | 8 |
| Journal | Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi) |
| Volume | 88 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2005 Apr |
| Externally published | Yes |
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Keywords
- α-divergence
- Ensemble learning
- Invariance of f-divergence
- Positive finite measure
ASJC Scopus subject areas
- Electrical and Electronic Engineering
Cite this
An extended formula for divergence measures using invariance. / Uchida, Masato; Shioya, Hiroyuki.
In: Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi), Vol. 88, No. 4, 04.2005, p. 35-42.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - An extended formula for divergence measures using invariance
AU - Uchida, Masato
AU - Shioya, Hiroyuki
PY - 2005/4
Y1 - 2005/4
N2 - The f-divergence, which is defined by using a class of convex functions, is used as a generalized phenotype of discriminant measures between two probability distributions. In this paper, we derive a new class of discriminant measures defined on the set of all positive finite measures using the invariance of the f-divergence. This is a class of discriminant measures different from ones which have often been used. We mention some aspects of its effectiveness concerning the extension of discriminant measures by showing that the proposed class includes measures that facilitate statistical data processing and are suitable for the explicit formulation and analysis of the ensemble learning method.
AB - The f-divergence, which is defined by using a class of convex functions, is used as a generalized phenotype of discriminant measures between two probability distributions. In this paper, we derive a new class of discriminant measures defined on the set of all positive finite measures using the invariance of the f-divergence. This is a class of discriminant measures different from ones which have often been used. We mention some aspects of its effectiveness concerning the extension of discriminant measures by showing that the proposed class includes measures that facilitate statistical data processing and are suitable for the explicit formulation and analysis of the ensemble learning method.
KW - α-divergence
KW - Ensemble learning
KW - Invariance of f-divergence
KW - Positive finite measure
UR - http://www.scopus.com/inward/record.url?scp=20444451240&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=20444451240&partnerID=8YFLogxK
U2 - 10.1002/ecjc.20128
DO - 10.1002/ecjc.20128
M3 - Article
VL - 88
SP - 35
EP - 42
JO - Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
JF - Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
SN - 1042-0967
IS - 4
ER -