Fixed-point arithmetic error analysis of sparse LU decomposition on FPGAs

2017 ◽  
Author(s):  
Mohammad Saeed Feali ◽  
Arash Ahmadi ◽  
Abdosamad Hamidi ◽  
Majid Ahmadi
Keyword(s):  
Fixed Point ◽  
Error Analysis ◽  
Lu Decomposition ◽  
Fixed Point Arithmetic ◽  
Sparse Lu Decomposition ◽  
Point Arithmetic

Tight Error Analysis in Fixed-Point Arithmetic

2020 ◽  
pp. 318-336
Author(s):  
Stella Simić ◽  
Alberto Bemporad ◽  
Omar Inverso ◽  
Mirco Tribastone
Keyword(s):  
Fixed Point ◽  
Error Analysis ◽  
Fixed Point Arithmetic ◽  
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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