Tensor Train Decomposition and Training
Published:
High-dimensional data (tensors) appear in many fields such as scientific computing, quantum physics, and machine learning. However, storing and operating on these tensors is challenging due to the exponential growth of parameters with the number of dimensions (the so-called “curse of dimensionality”). Tensor Train (TT) decomposition is one way to represent high-dimensional tensors in a compact format by expressing them as a sequence of smaller 3D tensors (often called TT-cores).