Active learning algorithm using the maximum weighted log-likelihood estimator

Journal of Statistical Planning and Inference

Volumn 116, Issue 1, 2003, Pages 149-162

  Kanamori, Takafumi ^a   Shimodaira, Hidetoshi ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Active learning; Integrated mean square error; Maximum weighted log likelihood estimator; Optimal experimental design

Indexed keywords

EID: 0038647337     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(02)00234-3     Document Type: Article

References (13)

1. Bickel P.J. Herzberg A.M. Robustness of design against autocorrelation in time. I. Asymptotic theory, optimality for location and linear regression Ann. Statist. 7 1 1979 77-95
2. Bishop C.M. Neural Networks for Pattern Recognition 1995 Oxford University Press Oxford
3. Cohn, D., 1994. Neural network exploration using optimal experimental design. Advances in Neural Information Processing Systems, Vol. 6. Morgan Kaufmann, Los Altos, CA, pp. 679-686.
4. Fedorov V.V. Theory of Optimal Experiments 1972 Academic Press New York
5. Fukumizu, K., 1996. Active learning in multilayer perceptrons. Advances in Neural Information Processing Systems, Vol. 8. MIT Press, Cambridge, pp. 295-301.
6. Huber, P.J., 1975. Robustness and Designs. A Survey of Statistical Design and Linear Models. North-Holland, Amsterdam, pp. 287-301.
7. Kanamori T. Statistical asymptotic theory of active learning Ann. Inst. Statist. Math. 54 2002 459-475
8. Sacks J. Ylvisaker D. Linear estimation for approximately linear models Ann. Statist. 6 1978 1122-1137
9. Shimodaira H. Improving predictive inference under covariate shift by weighting the log-likelihood function J. Statist. Plann. Inference 90 2000 227-244
10. Silvey, D.S., 1980. Optimal design. Monographs on Applied Probability and Statistics. Chapman & Hall, London.
11. White H. Maximum likelihood estimation of misspecified models Econometrica 50 1982 1-26
12. Wiens D.P. Minimax designs for approximately linear regression J. Statist. Plann. Inference 31 3 1992 353-371
13. Wiens D.P. Minimax robust designs and weights for approximately specified regression models with heteroscedastic errors J. Amer. Statist. Assoc. 93 444 1998 1440-1450