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May 28, 2020 at 19:03 history edited AJKOER CC BY-SA 4.0
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May 28, 2020 at 18:59 comment added Sycorax Keep in mind that the edit history of the post will always be available, so you don't have to worry about discarding what you originally wrote. If someone wants to see earlier versions, they can find it easily using the edit history. Just a tip.
May 28, 2020 at 18:57 comment added AJKOER Sycorax: Agree, clumsy, but trying to edit for correctness and maintain original words. I also added some of the applications' success stories as background differentiation from PCA.
May 28, 2020 at 18:51 history edited AJKOER CC BY-SA 4.0
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May 28, 2020 at 18:45 comment added Sycorax Your third edit states "...there is necessarily no 'independence', at least, in a Linear Algebra sense," which appears to suggest that the resulting feature vectors are not linearly independent as a matter of necessity. I think you meant to write "there is not necessarily independence in a linear algebra sense," which means that the result may or may not be linear independent vectors.
May 28, 2020 at 18:41 comment added AJKOER Sycorax: I will accept your point, and have clearly placed Edit and [END EDIT] in my answer. I doubt, however, in my opinion, as to whether it significantly distracts from the key point of my analysis. Supporting my opinion, I have further added an extract from Wikipedia as provided background .
May 28, 2020 at 18:32 history edited AJKOER CC BY-SA 4.0
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May 28, 2020 at 15:18 comment added Sycorax I think you're misreading the quotation. "[T]he new features we end up do not have to be independent" means that the new features might be independent or might not be independent, but instead you write "the new features data set is neither orthogonal or even linearly independent." It's true that they're not orthogonal, but vectors can be linearly independent and also be non-orthogonal. An example is shown in my answer.
May 28, 2020 at 14:11 history answered AJKOER CC BY-SA 4.0