Julia seems to have many different packages for tensor operations, like TensorFlow , TensorOperations , Tensors , TensorToolbox , and TensorWorkbench . Is there a general consensus as to which one(s) are the most useful? Could anyone provide a summary of each package’s features, or ideally a side-by-side…

Okay, so it seems like the summary is: The C++ iTensor library may get ported to Julia soon. The JuliaTensors GitHub organization appears to be abandoned. TensorFlow doesn’t have anything to do with tensors in the standard CS sense of the word, but instead is a ML framework. TensorKit (i…

A tensor is an object that transforms under a direct product of group operations. It’s just a nice way of reducing complicated group representations to really simple ones. For example, the electric field strength tensor F_{\mu\nu} lives in a 6-dimensional representation of the Lorentz group, but I…

TensorKit will still be very similar to what is described in the Readme of TensorToolbox.jl. In summary, it provides a new Tensor type that is completely independent of Julia’s AbstractArray hierarchy. The properties of this Tensor type I summarize below, but let me start by saying that they can sti…

Hats off for this remarkable explanation/summary. Also I didn’t know about TensorKit this sounds a super useful package for doing a lot of things in physics! I will definitely check it out

Mathematicians would describe a tensor as either a covariant or contravariant multi-linear map to a field from either the cartesian product of a vector space or its dual. These tensors can have additional special properties, such as being antisymmetric or symmetric. For example, the det method (dete…

[image] chakravala: Mathematicians would describe a tensor as either a covariant or contravariant multi-linear map to a field from either the cartesian product of a vector space or its dual. Except when they work in bundles / manifolds, where e.g. curvature R_{ijk}^l is a tensor, while the co…

[image] foobar_lv2: (but a package that makes for easy computation of geometric quantities, via AD, would be quite awesome) I do have a package planned for that, it is called Multivectors.jl but it is empty as of now, but I’ve got some books and resources available to help me get started, thi…

Just a rumor: the author of iTensor is writing a julia version! You will soon (maybe just this year) have something really tensor XD

There is also Xtensor.jl , which uses the xtensor C++ library.

Just to be clear about this, while a tensor certainly can be defined as an object that transforms under certain operations etc, an equivalent definition is to define it as just a high-dimensional function that is multi-linear (linear in each of its arguments). [A good reference for connecting these …

[image] miles: So then it’s not really wrong or misleading to use tensor as a shorthand for multi-dimensional array, since these are equivalent in such a setting and context. The representation of a tensor could be a multi dimensional array, but there are other representations. This thread is…

Comparison of tensor packages?

General Usage

willow November 27, 2024, 4:07pm 30

Here’s the package announcement for Finch: Finch.jl: Sparse and Structured Array Compiler

Topic		Replies	Views
ANN: Tensars.jl: Tensors as linear mappings of multidimensional arrays Package Announcements	16	2140	April 6, 2020
[ANN] Tensorial.jl: Statically sized tensors and related operations for Julia Package Announcements package , announcement , tensors	24	1442	October 25, 2024
100X tensor algebra speedup!?! Specific Domains question	44	7690	October 18, 2023
[ANN] TensorAlgebra.jl: Taking covariance seriously Package Announcements package , announcement , algebra , tensors	49	5934	March 22, 2021
How do I implement the fastest tensor contractions Performance question , tensors , tensor-contraction , tensoroperations	11	1091	April 18, 2024

Comparison of tensor packages?

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