TensorKitchen.jl Documentation

TensorKitchen.jl is a Julia package for tensor decompositions.

• CPD documentation
• Tucker documentation
• BTD documentation
• Join decomposition documentation
• Utilities
• Pipeline
• References

Notes

The package is currently at a pre-alpha stage.

The implementation is based on combining algebraic algorithms like ALS (see, e.g., the textbook by Kolda and Ballard) and Riemannian optimization from Manopt.jl.

What currently works is

• Canonical Polyadic Decomposition (CPD)
• Tucker Decomposition
• Nonnegative Canonical Polyadic Decomposition (NNCPD)
• Block Term Decomposition (BTD)
• Join Decompositions

The next updates will include

• Handling of swamps/plateaus in the optimization step
• Documentation
• Improved User Interface
• GPU Support
• LL1 Decomposition (3-way specialized BTD)
• Symmetric CP / Waring Decomposition
• Partially Symmetric CP
• Tensor Trains