In this paper we show how the stability of a LAPART neural network can be deduced as a result of a general theorem on the input/output stability of nonlinear systems. This result gives conditions on how to choose certain parameters in the LAPART network in order to guarantee stability, which has implications on LAPART's generalization properties and its noise robustness.
1997 IEEE International Conference on Systems
Chaos, Neural networks, Neurofeedback
Abdallah, Chaouki T.; G.L. Heileman; and M.J. Healy. "On the stability of LAPART." 1997 IEEE International Conference on Systems (1997): 1356-1360. doi:10.1109/ICSMC.1997.638162.