تقرير
Bochner integrals and neural networks
| العنوان: | Bochner integrals and neural networks |
|---|---|
| المؤلفون: | Kainen, Paul C., Vogt, A. |
| المصدر: | {\it Handbook on Neural Information Processing}, Monica Bianchini, Marco Maggini, Lakhmi C. Jain, Eds., Springer, ISRL Vol. 49, 2013, Chap. 6, pp. 183--214 |
| سنة النشر: | 2023 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, Computer Science - Machine Learning, Computer Science - Neural and Evolutionary Computing, 41A35, 45N05, 46B28 |
| الوصف: | 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 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2302.13228 |
| رقم الأكسشن: | edsarx.2302.13228 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |