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Loss Function과 Cost Function의 차이점

When explain Cost Function, Why used J($\theta$)

when study GAN, explained cost function using J function.

Exactly what is J function?

anwser is here -> What does the capital letter ‘J’ mean in cost function J(θ)?

I saw many people using ‘J(θ)’ to represent cost function, what does the capital letter ‘J’ exactly mean?

it comes from the Jacobian Matrix which represents the derivitave in all the directions