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nicodjimenez avatar nicodjimenez commented on July 22, 2024

Glad you find the post useful.

The chain rule of calculus says that in order to calculate the left derivative, you need to take into account all intermediate variables that are affected by changes in s_i which themselves will affect L(t). In this example the only intermediate variables are h_i(t) and h_i(t+1).

Why do you think that left = 0.5*right?

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nicodjimenez avatar nicodjimenez commented on July 22, 2024

The section called "Higher dimensions" is relevant here: https://en.wikipedia.org/wiki/Chain_rule

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tinymindxx avatar tinymindxx commented on July 22, 2024

@nicodjimenez hi, thanks for your reply, it's really very very kind of you.

I think in the equation bellow,
image
left = 0.5*right is because :

image
so we can get:
image

in my opinion, the derivative is :
image

once we can get top_diff_h , we can get dsi(t)

and in your code,
image
if we change

ds = self.state.o * top_diff_h + top_diff_s

to

ds = self.state.o * top_diff_h 

it's more likely to get a lower loss in my test.

I don't know where is the wrong point, hope you can get more tips.

thanks for your reply again!

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nicodjimenez avatar nicodjimenez commented on July 22, 2024

This is the same point as the one made in #49. Please move discussion there.

Also, I don't follow your math:

image

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