학술논문
Bochner integrals and neural networks
Document Type
Working Paper
Author
Source
{\it Handbook on Neural Information Processing}, Monica Bianchini, Marco Maggini, Lakhmi C. Jain, Eds., Springer, ISRL Vol. 49, 2013, Chap. 6, pp. 183--214
Subject
Language
Abstract
A Bochner integral formula is derived that represents a function in terms of weights and a parametrized family of functions. Comparison is made to pointwise formulations, norm inequalities relating pointwise and Bochner integrals are established, variation-spaces and tensor products are studied, and examples are presented. The paper develops a functional analytic theory of neural networks and shows that variation spaces are Banach spaces.
Comment: 25 pages
Comment: 25 pages