I am a student researcher interested in the assessment of wind energy potential for a particular region in my country Nigeria. I have read Li and Li's article "investigation of wind characteristics and assessment of wind energy potential for Waterloo region" where the maximum entropy principle was used in the analysis.
I also studied the reference articles "a second order Newton raphson method for improved numerical stability in the determination of droplet size distribution in sprays".
I find it difficult to understand how the Lagrange multipliers were determined.
According to my knowledge You have to read something about the Jaynes method ( the first formula in your addition follows from this theory ) and then to have good knowledge in nonlinear numerical analysis for understanding of the paper in the whole.
For the VMD method, I followed the below link information
https://au.mathworks.com/help/wavelet/ref/vmd.html
Initial Lagrange multiplier, specified as the comma-separated pair consisting of 'InitialLM' and a complex vector. The range of the initial Lagrange multiplier in the frequency domain is [0, 0.5] cycles/sample. The multiplier enforces the reconstruction constraint. The length of the multiplier depends on the input size.
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