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#Tensor

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Can higher order tensors be represented by a matrix? People think you cannot, but I say you can. A 3x3x3 #tensor can be represented by a 3x9 matrix easily. Here is how.

In fact a 9x9 matrix is symmetric and has much better properties than a 3x3x9 tensor. And we can always represent any tensor of any order using a matrix. Tensor and matrix are nothing more than two different "accounting" systems of keeping a record of a data set containing many variables. #mathematics #physics #AI

Hey, I'm stuck with this PyTorch problem and no one has answered on Stack Overflow yet. Need help creating a new tensor by using values from a 3D tensor as indices for a 1D tensor, efficiently and preferably without loops. Any PyTorch experts around?

stackoverflow.com/q/79389115/2

Boosts appreciated - thanks! 🙏

Stack OverflowHow to map values from a 3D tensor to a 1D tensor in PyTorch?I'm stuck with a Pytorch problem and could use some help: I've got two tensors: A 3D tensor (shape: i, j, j) with integer values from 0 to n A 1D tensor (shape: n) I need to create a new tensor t...

I've been thinking about this for a while, sketching out the formalization of the tensor product in Mizar.

It's kind of long, not as step-by-step oriented as previous projects, because I wanted to give a better sense of "What it's like to formalize something". You don't have someone giving you step-by-step milestones, you have to figure it out on your own!

At the same time, even granting all of that, I gave a lot of suggested milestones (albeit informally and without fanfare).

#Mizar #ProofAssistant #TensorProduct #Tensor #Mathematics

thmprover.wordpress.com/2025/0

Ariadne's Thread · Tensor Products in MizarI have been giving some rather straightforward projects, so I thought I would expose the complexity of a more ambitious project: the formalization of tensor products in Mizar. I won’t tell yo…