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Why tensors? A beginner's perspective

mfaizan.github.io

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Re: Why tensors? A beginner's perspective

#6

I was happy to see that this article is actually talking about tensors, not just multidimensional arrays (which for some reasons are often called tensors by machine learning folks).

What is the difference?

Tensors have additional properties that arrays don't necessarily have. For example, the coordinate system transform rule that the author describes in the beginning of the post.

One of my old physics professors taught us to think of tensors as "arrays with units." If it's a vector/matrix/higher dimensional array but has physical units, it's probably a tensor. The fact that it has units means it represents something physical which must obey additional constraints (like the coordinate system transformation rule).

Re: Why tensors? A beginner's perspective

#8

Earlier quoted context omitted.

What is the difference?

Tensors have additional properties that arrays don't necessarily have. For example, the coordinate system transform rule that the author describes in the beginning of the post. One of my old physics professors taught us to think of tensors as "arrays with units." If it's a vector/matrix/higher dimensional array but has physical units, it's probably a tensor. The fact that it has units means it represents something ph…

Since I also thought Tensors were just higher dimension arrays, isn't this really what ML folks think Tensors are, since they (we?) do attach units to the Tensors most of the time?
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