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As Boyd says in his book on Chebyshev Methods: when in doubt use Chebyshev polynomials.

I use Chebyshev polynomials extensively in finance and have tried problems like MNIST with Chebyshev and they get close to CNNs in accuracy.

ApproxFun Julia package pretty cool for Chebyshev work:

https://juliaapproximation.github.io/ApproxFun.jl/latest/



What do you mean by close to CNN?

What is your architecture? Is it just a fully connected layer of chebyshev?




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