phi-Divergence Loss-Based Artificial Neural Network

被引：0

作者：

Salamwade, R. L. ^{[1
]}

Sakate, D. M. ^{[1
]}

Mathur, S. K. ^{[2
]}

机构：

[1] Shivaji Univ, Kolhapur, Maharashtra, India

[2] Augusta Univ, Augusta, GA USA

来源：

JOURNAL OF MODERN APPLIED STATISTICAL METHODS | 2018年 / 17卷 / 02期

关键词：

Power divergence family; classification; back-propagation; loss function; mean square error;

D O I：

10.22237/jmasm/1551966252

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Artificial Neural Networks (ANNs) can fit non-linear functions and recognize patterns better than several standard techniques. Performance of ANNs is measured by using loss functions. Phi-divergence estimator is generalization of maximum likelihood estimator and it possesses all its properties. A neural network is proposed which is trained using phidivergence loss.

引用

页数：13

共 50 条

[21] Empirical phi-divergence test statistics for the difference of means of two populations
Balakrishnan, N.
Martin, N.
Pardo, L.
[J]. ASTA-ADVANCES IN STATISTICAL ANALYSIS, 2017, 101 (02) : 199 - 226
[22] Preliminary Test Estimators and Phi-divergence Measures in Pooling Binomial Data
Martin, Nirian
Pardo, Leandro
[J]. PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2012, 8 (03) : 331 - 343
[23] Minimum phi-divergence estimators for multinomial logistic regression with complex sample design
Castilla, Elena
Martin, Nirian
Pardo, Leandro
[J]. ASTA-ADVANCES IN STATISTICAL ANALYSIS, 2018, 102 (03) : 381 - 411
[24] Phi-divergence statistics for the likelihood ratio order: An approach based on log-linear models
Martin, Nirian
Mata, Raquel
Pardo, Leandro
[J]. JOURNAL OF MULTIVARIATE ANALYSIS, 2014, 130 : 387 - 408
[25] Empirical phi-divergence test statistics for testing simple and composite null hypotheses
Balakrishnan, N.
Martin, N.
Pardo, L.
[J]. STATISTICS, 2015, 49 (05) : 951 - 977
[26] Minimum phi-divergence estimators for multinomial logistic regression with complex sample design
Elena Castilla
Nirian Martín
Leandro Pardo
[J]. AStA Advances in Statistical Analysis, 2018, 102 : 381 - 411
[27] Preliminary phi-divergence test estimators for linear restrictions in a logistic regression model
M. L. Menéndez
L. Pardo
M. C. Pardo
[J]. Statistical Papers, 2009, 50 : 277 - 300
[28] Minimum Phi-divergence estimators for loglinear models with linear constraints and multinomial sampling
Martin, N.
Pardo, L.
[J]. STATISTICAL PAPERS, 2008, 49 (01) : 15 - 36
[29] Minimum phi-divergence estimators for loglinear models with linear constraints and multinomial sampling
N. Martín
L. Pardo
[J]. Statistical Papers, 2008, 49 : 15 - 36
[30] Change-point detection in multinomial data using phi-divergence test statistics
Batsidis, A.
Horvath, L.
Martin, N.
Pardo, L.
Zografos, K.
[J]. JOURNAL OF MULTIVARIATE ANALYSIS, 2013, 118 : 53 - 66

← 1 2 3 4 5 →