"Mathematicians would call this Nonlinear Least Squares (the model is non-linear in some of the parameters - here the exponents), vs Linear Least Squares (which is linear in ALL the parameters). A commonly recommended algorithm for solving such…"
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- Data analysis
We have created "New Square Method" and "Dynamic Local Analysis" etc. data analysis methods, developed big data (pure digital class) analysis software.
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- http://www.eaihua.com/index-e.html
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- 30
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- AiHua Computer Studio
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- CEO
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"He does not need identity transformation and substitution. There is no analytic solution for the power value, so it can only be solved numerically by computer."
"How does it compare to linear regression where the variables are transformed using a power transformation, or to polynomial regression?"
New Square Method
AbstractThe “new square method” is an improved approach based on the “least square method”. It calculates not only the constants and coefficients but also the variables’ power values in a model in the course of data regression calculations, thus bringing about a simpler and more accurate calculation for non-linear data regression processes.PrefaceIn non-linear data regression calculations, the “least square method” is applied for mathematical substitutions and transformations in a model, but…See More
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Yanping wang's Blog
New Square Method
Posted on June 25, 2019 at 6:00am 3 Comments 1 Like
Abstract
The “new square method” is an improved approach based on the “least square method”. It calculates not only the constants and coefficients but also the variables’ power values in a model in the course of data regression calculations, thus bringing about a simpler and more accurate calculation for non-linear data regression processes.
Preface
In non-linear data regression calculations, the “least square…
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