Automatic Differentiation for Complex Valued SVD
Numerical Analysis
2019-11-07 v3 Statistical Mechanics
Strongly Correlated Electrons
Machine Learning
Numerical Analysis
Quantum Physics
Machine Learning
Abstract
In this note, we report the back propagation formula for complex valued singular value decompositions (SVD). This formula is an important ingredient for a complete automatic differentiation(AD) infrastructure in terms of complex numbers, and it is also the key to understand and utilize AD in tensor networks.
Cite
@article{arxiv.1909.02659,
title = {Automatic Differentiation for Complex Valued SVD},
author = {Zhou-Quan Wan and Shi-Xin Zhang},
journal= {arXiv preprint arXiv:1909.02659},
year = {2019}
}
Comments
4.2 pages