# Questions tagged [l2-norm]

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1 answer
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### How to compute numerically the $H^{1/2}$ norm of a function

I'm, in the context of FEM. Let's say I have a discrete function $g$ living on the boundary of my domain $D$. I need to compute numerically $||g||_{1/2,\partial D}$. The definition I know is the ...
• 261
0 votes
0 answers
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### Difference between minimizing a function by gradient descent and by norm minimization?

I have working on 2 ways of training a neural network. The first method uses gradient descent updates the model with Adam optimizer. the second method minimizes the norm of the gradient of the ...
• 113
0 votes
1 answer
78 views

### Does the loss function in a deep neural network act as a norm?

I read somewhere that the Measn squared error loss function acts as L2 norm of the paramter vector. I would like to know if I am using binary cross entropy loss function, do I need to calculate the ...
• 113
1 vote
2 answers
203 views

### Finding weighted average of curves

This is related to my previous post here I have a dataset with values of multiple curves. An example plot is shown below. I want to scale the curves (move up/down) so that all curves overlap. The ...
• 491
4 votes
4 answers
639 views

### Minimize distance between curves

I have a dataset with values of multiple curves. An example plot is shown below. I want to shift the curves (up/down) so that all curves overlap. This would mean the data points in each curve is ...
• 491
1 vote
1 answer
341 views

### 2-norm and infinty norm of a system in controls

How to compute 2-norm or infinity norm of following system? i am confused whether to calculate using simple matrix theory "where it don't regard for s domain" or H2 and H-infinty norm. ...
1 vote
0 answers
133 views

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