Neural Networks are universal approximators, It is true for picewise continuous functions?
3 views (last 30 days)
Show older comments
Platon on 6 Jun 2013
George Cybenko had prouven that NN are universal approximators for continuous functions (see http://en.wikipedia.org/wiki/Universal_approximation_theorem). Can Neural Network approximate piecewise continuous functions? In particular in MATLAB NN tool box?
I need a response with references.
Greg Heath on 8 Jun 2013
Yes. However, like fourier series, values at finite discontinuities will be the average of the left and right values.
If you don't have a text, my guess is that if you search on something like
neural uniform approximation
you should find something.
Try the comp.ai.neural-nets newsgroup and FAQ before Googling.
Hope this helps.
Thank you for formally accepting my answer
More Answers (0)
Find more on Deep Learning Toolbox in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!Start Hunting!