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[D] Simplest mathematical example of a function that can only be solved by gradient descent (alien.top)

submitted 11 months ago by EatMeMonster@alien.top to c/machinelearning@academy.garden

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I'm trying to teach a lesson on gradient descent from a more statistical and theoretical perspective, and need a good example to show its usefulness.

What is the simplest possible algebraic function that would be impossible or rather difficult to optimize for, by setting its 1st derivative to 0, but easily doable with gradient descent? I preferably want to demonstrate this in context linear regression or some extremely simple machine learning model.

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[–] idkname999@alien.top 1 points 11 months ago (3 children)

Logistic Regression is a simple machine learning model with no closed form solution.

[–] ravshanbeksk@alien.top 1 points 11 months ago (1 children)

You can write a log likelihood function and take its derivative and set it equal to zero.

[–] DoctorFuu@alien.top 1 points 11 months ago

no, to convince yourself, just try to do it.

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