Mathematical Aspects of Neural Networks

In this tutorial paper about mathematical aspects of neural networks, we will focus on two directions: on the one hand, we will motivate standard mathematical questions and well studied theory of classical neural models used in machine learning. On the other hand, we collect some recent theoretical results (as of beginning of 2003) in the respective areas. Thereby, we follow the dichotomy offered by the overall network structure and restrict ourselves to feedforward networks, recurrent networks, and self-organizing neural systems, respectively.

• Type: Conference
• Year: 2003
• Where: ESANN
• Authors: Barbara Hammer, Thomas Villmann
• Keywords: Classical Neural Models, ESANN 2003, ESANN 2007, Neural Networks, Self-organizing Neural Systems