What is meant by 'affine' model in physical sciences?

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SUMMARY

The term "affine model" in physical sciences is often misunderstood and conflated with "affine transform." An affine transform is a mathematical operation that preserves parallel lines and is used to map an ideal model to a real-world example. However, the concept of an "affine model" is not formally recognized; it refers to a model that has undergone an affine transformation rather than being a distinct category of models. This clarification is essential for accurate communication in scientific discussions.

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What's meant by 'affine' model in physical sciences? I guess it's related to some ideal or benchmark model?
 
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A ideal model is compared with a real example.
The connection or mapping between the two is an 'affine transform'.
An affine transform preserves parallel lines.
I guess the model of the ideal could be called an 'affine model'.
https://en.wikipedia.org/wiki/Affine_transformation
 
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Baluncore said:
A ideal model is compared with a real example.
The connection or mapping between the two is an 'affine transform'.
An affine transform preserves parallel lines.
I guess the model of the ideal could be called an 'affine model'.
https://en.wikipedia.org/wiki/Affine_transformation
affine transform has nothing to do with affine model?
 
feynman1 said:
affine transform has nothing to do with affine model?
There seems to be no such thing as an "affine model".

"Affine model" appears to be a conflation of the terms "affine" transform and the transformed ideal "model". That might be used to refer to a model that is subjected to an affine transform.
 
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