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4
votes
1answer
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How do I numerically calculate a function from its noisy gradient using “global integration”?
I have the model $\ s(x,y)=x^2+y^2, 0 \leq x \leq 1, 0 \leq y \leq 1 $.
Instead of observing the model directly I am observing the derivatives of the model + some noise (e):
$\ p(x,y)=s_x+e, ...
3
votes
1answer
179 views
Unstable linear inverse problem: which “dampening” Tikhonov matrix should I use?
A linear inverse problem is given by:
$\ \mathbf{d}=\mathbf{A}\mathbf{m}+\mathbf{e}$
where d: observed data, A: theory operator, m: unknown model and e: error.
The Least Square Error (LSE) model ...
