More of my philosophy about non-linear regression and more..
From
Amine Moulay Ramdane@21:1/5 to
All on Sat Apr 16 16:50:30 2022
Hello,
More of my philosophy about non-linear regression and more..
I am a white arab from Morocco, and i think i am smart since i have also invented many scalable algorithms and algorithms..
I think i am really smart, and i have just finished quickly the software implementation of Levenberg–Marquardt algorithm and of the simplex algorithm to solve non-linear least squares problems, but i have also
implemented the PSO and genetic algorithm that permit to solve non-linear least squares problems, and i will soon implement a generalized way with artificial intelligence using the software that permit to solve the non-linear "multiple" regression, but i
have also noticed that in mathematics you have to take care of the variability of the y in non-linear least squares problems so that to approximate, also the Levenberg–Marquardt algorithm (LMA or just LM) that i have just implemented , also known as
the damped least-squares (DLS) method, is used to solve non-linear least squares problems. These minimization problems arise especially in least squares curve fitting. The Levenberg–Marquardt algorithm is used in many software applications for solving
generic curve-fitting problems. The Levenberg–Marquardt algorithm was found to be an efficient, fast and robust method which also has a good global convergence property. For these reasons, It has been incorporated into many good commercial packages
performing non-linear regression. But my way of implementing the non-linear "multiple" regression in the software will be much more powerful than Levenberg–Marquardt algorithm, and of course i will share with you many parts of my software project,
so stay tuned !
Thank you,
Amine Moulay Ramdane.
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