Implementation of an Inexact Newton Algorithm in Python - python

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I have following algorithm I will implement in Python:
I'm not sure how to build it up and especially to deal with the minimum function. Can anyone help me?
I have self made the norm of the gradiant calculated out from matrix A and vector b by following:
r=b-A#x
r_new=np.inner(r,r)
np.sqrt(r_new)
But how do I deal with the minimum function and the setup. Can anyone help me?

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What is Brute Force approach in python? With an example please? [closed]

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I am trying to understand what is Brute Force approach in Python?
I have a Lennard-Jones potential equation and my interatomic distance value is unknown, so my professor told me to use the Brute Force approach.
I don't know how to do so, can you explain it to me with a little simple code example?
Thank you

Python data correlation [closed]

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Can anyone tell me what is the difference between the pearson correlation method and the normal corr() method? I expect it to be the same output, is that right?
no difference, if method='pearson'

Getting the y axis value(amplitude) on FFT [closed]

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I am working on a FFT program, and I would like to get the frequency which has the largest amplitude or intensity in a sound. I checked out some codes on internet, but I couldn't find how to get the amplitude on a python program.
Check librosa.core.stft This gives magnitude of each frequency bin at given time. More details here:
https://librosa.github.io/librosa/generated/librosa.core.stft.html?highlight=stft#librosa.core.stft

Python: Levenberg- Marquardt algorithm [closed]

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I have a question about the Levenberg-Marquardt optimize method in Python:
Generally, the Lavenberg Maquardt is used for deterministic systems. Can I use it for stochastic model to estimate unknown parameters (inputs of my model).
Thanks
The requirement for the Levenberg Marquard algorithm is that you need to be able to calculate the jacoboan (derivative with respect to your parameter).
If this is the case for your problem then yes. I guess that it is not.
Perhaps the simplex algorithm is what you are looking for.

python sklearn tree classifier, what does each prediction function do? [closed]

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Would someone please kindly explain what sklearn.tree.DecisionTreeClassifier.predict(X) and .predict_log_proba(X) and .predict_proba(X) are?
Thanks a lot in advance.
Here's the link to sklearn's library:
In short words (and this applies to all sklearn models):
predict_proba(x) = P(y|x) (probability of each label as a vector)
predict_log_proba(x) = log P(y|x) (logarithm of the above)
predict(x) = arg max_y P(y|x) (the most probable label using the above)

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