test and training error
Machine learning in 10 pictures
I find myself coming back to the same few pictures when explaining basic machine learning concepts. Below is a list I find most illuminating. Plots of polynomials having various orders M, shown as red curves, fitted to the data set generated by the green curve. Why Bayesian inference embodies Occam's razor. This figure gives the basic intuition for why complex models can turn out to be less probable.
Learning Curves: Asymptotic Values and Rate of Convergence
Cortes, Corinna, Jackel, L. D., Solla, Sara A., Vapnik, Vladimir, Denker, John S.
Training classifiers on large databases is computationally demanding. It is desirable to develop efficient procedures for a reliable prediction of a classifier's suitability for implementing a given task, so that resources can be assigned to the most promising candidates or freed for exploring new classifier candidates. We propose such a practical and principled predictive method. Practical because it avoids the costly procedure of training poor classifiers on the whole training set, and principled because of its theoretical foundation. The effectiveness of the proposed procedure is demonstrated for both single-and multi-layer networks.
Learning Curves: Asymptotic Values and Rate of Convergence
Cortes, Corinna, Jackel, L. D., Solla, Sara A., Vapnik, Vladimir, Denker, John S.
Training classifiers on large databases is computationally demanding. It is desirable to develop efficient procedures for a reliable prediction of a classifier's suitability for implementing a given task, so that resources can be assigned to the most promising candidates or freed for exploring new classifier candidates. We propose such a practical and principled predictive method. Practical because it avoids the costly procedure of training poor classifiers on the whole training set, and principled because of its theoretical foundation. The effectiveness of the proposed procedure is demonstrated for both single-and multi-layer networks.
Learning Curves: Asymptotic Values and Rate of Convergence
Cortes, Corinna, Jackel, L. D., Solla, Sara A., Vapnik, Vladimir, Denker, John S.
Training classifiers on large databases is computationally demanding. Itis desirable to develop efficient procedures for a reliable prediction of a classifier's suitability for implementing a given task, so that resources can be assigned to the most promising candidates or freed for exploring new classifier candidates. We propose such a practical and principled predictive method. Practical because it avoids the costly procedure of training poor classifiers on the whole training set, and principled because of its theoretical foundation. The effectiveness of the proposed procedure is demonstrated for both single-and multi-layer networks.