Can a student learn optimally from two different teachers?

Details Can a student learn optimally from two different teachers? Can a student learn optimally from two different teachers?

2009-06-30

arxiv.org/abs/0906.5461v1

Physics

Physics and Society

20 pages, 4 figures

Scientific paper

We explore the effects of over-specificity in learning algorithms by investigating the behavior of a student, suited to learn optimally from a teacher $\mathbf{B}$, learning from a teacher $\mathbf{B}'\neq\mathbf{B}$. We only considered the supervised, on-line learning scenario with teachers selected from a particular family. We found that, in the general case, the application of the optimal algorithm to the wrong teacher produces a residual generalization error, even if the right teacher is harder. By imposing mild conditions to the learning algorithm form we obtained an approximation for the residual generalization error. Simulations carried in finite networks validate the estimate found.

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