scholarly journals Stability, controllability, and observability criteria for state-space dynamical systems on measure chains with an application to fixed point arithmetic

2020 ◽  
Vol 13 (04) ◽  
pp. 187-195 ◽  
Author(s):  
Yan Wu ◽  
Sailaja P ◽  
K. N. Murty
Keyword(s):  
Fixed Point ◽  
Dynamical Systems ◽  
State Space ◽  
Fixed Point Arithmetic ◽  
Controllability And Observability ◽  
Point Arithmetic

The Effects of Precision Constraints in a Backpropagation Learning Network

1990 ◽  
Vol 2 (3) ◽  
pp. 363-373 ◽  
Author(s):  
Paul W. Hollis ◽  
John S. Harper ◽  
John J. Paulos
Keyword(s):  
Fixed Point ◽  
Analog Circuits ◽  
Learning System ◽  
Backpropagation Algorithm ◽  
Learning Network ◽  
Fixed Point Arithmetic ◽  
Point Arithmetic ◽  
Backpropagation Learning

This paper presents a study of precision constraints imposed by a hybrid chip architecture with analog neurons and digital backpropagation calculations. Conversions between the analog and digital domains and weight storage restrictions impose precision limits on both analog and digital calculations. It is shown through simulations that a learning system of this nature can be implemented in spite of limited resolution in the analog circuits and using fixed point arithmetic to implement the backpropagation algorithm.

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