Automatic Differentiation for Complex Valued SVD

Hai-Jun Liao, Jin-Guo Liu, Lei Wang, and Tao Xiang, arXiv:1903.09650

Original

1903

Earlier work this paper cites.

Giacomo Torlai, Juan Carrasquilla, Matthew T. Fishman, Roger G. Melko, and Matthew P. A. Fisher, arXiv:1906.04654

Original

1906

Earlier work this paper cites.

Claudius Hubig, arXiv:1907.13422

Original

1907

Earlier work this paper cites.

Michael Bartholomew-Biggs, Steven Brown, Bruce Christianson, and Laurence Dixon, J. Comput. Appl. Math. 124, 171–190 (2000)

2000

Cited alongside, same era.

R. Hunger, An introduction to complex differentials and complex differentiability, Tech. Rep. (2007)

2007

Cited alongside, same era.

Mike Giles, An extended collection of matrix derivative results for forward and reverse mode algorithmic differentiation, Tech. Rep. (2008)

2008

Cited alongside, same era.

Matthias Seeger, Asmus Hetzel, Zhenwen Dai, Eric Meissner, and Neil D. Lawrence, arXiv:1710.08717

Original

Cited in the paper.

See https://github.com/Zhouquan-Wan/SVD_autodiff for a possible implementation in TensorFlow and the correct back propagation formula for complex valued SVD is merged by TensorFlow at https://github.com/tensorflow/tensorflow/pull/32226

Original

Cited in the paper.

James Townsend, Differentiating the Singular Value Decomposition, Tech. Rep. (2016)

2016

Later among the works it cites.

Jin-Guo Liu, Linear Algebra Autodiff (complex valued) (2019)

2019

Closest in time.