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[Question] Why gamma * beta
stand for ` L2 in LogisticRegression._NLL_grad
#53
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For linear regression, the l2-regularization term is Keep in mind that I don't use a special IDE, unfortunately. the equations are formatted for display as Sphinx reStructuredText. You can see the rendered equations in the online documentation, or build it yourself from the source in the |
@ddbourgin Thank you for reply . From https://towardsdatascience.com/intuitions-on-l1-and-l2-regularisation-235f2db4c261 l1-regularization term is The gradient of l1 penalty wrt beta is then Actually I thought But there is a left problem : why you multiply |
Whoops, yup, that's what I get for being hasty! The regularization penalty is In the L1 case, I'd recommend explicitly writing down the L1 penalty (not just the l1 norm) and then trying to derive the gradient wrt beta. It should quickly become clear why there is an |
@ddbourgin Sorry but I don't quite understand why penalty in L1 case need square as L2 does
All ariticles I saw was using a L1 term (penalty) like |
Oh! I see what you're saying. You're right, the square of the L1 norm is not what we want. The proper L1 penalty is
which gives a gradient of
I'll make a PR to fix this. Thank you very much for pointing this out :) |
Hello, this is a great project , I am learning how to implement model without sklearn/tensorflow , it really help me a lot .
I have a question on
numpy-ml/numpy_ml/linear_models/lm.py
Line 252 in 4f37707
Since P-norm is defined as
l1norms(self.beta)
means the sum of all absulote value of each element in self.beta . I don't quite understand why the simplegamma * beta
stand for `L2 ?PS: May I ask what IDE and code document plugin you are using ? I see some annotation don't beyond to latex , it would be nice to see beautiful math symbols than raw latex :)
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