I am struggling to implement automatic differentiation in a plug-in library... can anybody help? No one has ever tried to add it at all, and it is a pain to find the derivative or the integral by hand.

I am struggling to implement automatic differentiation in a plug-in library... can anybody help? No one has ever tried to add it at all, and it is a pain to find the derivative or the integral by hand.
 
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The Deriv class in jlb.ulb does first and second derivatives of simple functions to a power, such as sin(z)^n. Other functions could be added.

These derivatives are courtesy of https://www.derivative-calculator.net/

The Deriv class in jlb.ulb does first and second derivatives of simple functions to a power, such as sin(z)^n. Other functions could be added. These derivatives are courtesy of https://www.derivative-calculator.net/
edited Jun 11 at 2:24 pm
 
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Someone would need to write an UF equivalent which is definitely possible (albeit not with the nice syntax that you get in modern C++).

Someone would need to write an UF equivalent which is definitely possible (albeit not with the nice syntax that you get in modern C++).

Ultra Fractal author

 
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Then I had something in my head, a neuron activation of sorts: what if we used dual numbers, as well as nodes, forward mode and reverse mode autodifferentiation in UF?

Then I had something in my head, a neuron activation of sorts: what if we used dual numbers, as well as nodes, forward mode and reverse mode autodifferentiation in UF?
 
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So where do we begin, @ultrafractal ? First of all, we can think of a few ways to accomplish this: through nodes, for example.

So where do we begin, @ultrafractal ? First of all, we can think of a few ways to accomplish this: through nodes, for example.
 
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