A result of Vapnik with applications
Discrete Applied Mathematics
The nature of statistical learning theory
The nature of statistical learning theory
Discrete mathematics of neural networks: selected topics
Discrete mathematics of neural networks: selected topics
A Rational Compromise in the System Problem of Disclosure of Conceptual Uncertainty
Cybernetics and Systems Analysis
Estimation of Dependences Based on Empirical Data: Springer Series in Statistics (Springer Series in Statistics)
System strategy for guaranteed safety of complex engineering systems
Cybernetics and Systems Analysis
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The problem of estimating the functional dependence of time series on the time index is considered in the case of short data sample. The uniform convergence of an empirical risk functional to a theoretical one is proved for the case where the parametric class of regression functions can be partially covered by a finite 驴-net for some of its parameters. The functional dependence for the polynomial class of functions is estimated as an example.