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A NOTE ON STABILITY OF ERROR BOUNDS IN STATISTICAL LEARNING THEORY

open access: closedAnalysis and Applications, 2011
We consider a wide class of error bounds developed in the context of statistical learning theory which are expressed in terms of functionals of the regression function, for instance, its norm in a reproducing kernel Hilbert space or other functional space.
Ming Li, Andrea Caponnetto
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Stability Certificates for Neural Network Learning-based Controllers using Robust Control Theory

open access: closed2021 American Control Conference (ACC), 2021
Providing stability guarantees for controllers that use neural networks can be challenging. Robust control theoretic tools are used to derive a framework for providing nominal stability guarantees – stability guarantees for a known nominal system – controlled by a learning-based neural network controller.
Nguyen Hoang Hai   +5 more
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Stability theory of universal learning network

open access: closed1996 IEEE International Conference on Systems, Man and Cybernetics. Information Intelligence and Systems (Cat. No.96CH35929), 2002
Higher order derivatives of the universal learning network (ULN) has been previously derived by forward and backward propagation computing methods, which can model and control the large scale complicated systems such as industrial plants, economic, social and life phenomena. In this paper, a new concept of nth order asymptotic orbital stability for the
Kotaro Hirasawa   +3 more
openalex   +2 more sources

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