Tensor Train Numerics is a Julia package designed to provide efficient numerical methods for working with tensor trains (TT) and quantized tensor trains (QTT).
- Tensor Operations: Support for basic tensor operations such as addition, multiplication, and contraction in tensor train format.
- Tensor Train Decomposition: Algorithms for decomposing high-dimensional tensors into tensor train format, reducing computational complexity and memory usage.
- Discrete Operators: Implementation of discrete Laplacians, gradient operators, and shift matrices in tensor train format for solving partial differential equations and other numerical problems.
- Quantized Tensor Trains: Tools for constructing and manipulating quantized tensor trains, which provide further compression and efficiency for large-scale problems.
- Iterative Solvers: Integration with iterative solvers for solving linear systems and eigenvalue problems in tensor train format.
- Visualization: Basic visualization tools for inspecting tensor train structures and their properties.
To get started with Tensor Train Numerics, you can install the package using Julia's package manager:
using Pkg
Pkg.add("TensorTrainNumerics")Many of the features are inspired by the work of Mi-Song Dupuy