The pi-sigma network: an efficient higher-order neural network for pattern classification and function approximation

Abstract

Introduces a novel feedforward network called the pi-sigma network. This network utilizes product cells as the output units to indirectly incorporate the capabilities of higher-order networks while using a fewer number of weights and processing units. The network has a regular structure, exhibits much faster learning, and is amenable to the incremental addition of units to attain a desired level of complexity. Simulation results show good convergence properties and accuracy for function approximation. Comparative results using the DARPA acoustic transient data set are also provided to highlight the classification abilities of pi-sigma networks.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>