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Automatic Differentiation for Complex Valued SVD

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arxiv 1909.02659 v3 pith:VNVDOKCW submitted 2019-09-04 math.NA cond-mat.stat-mechcond-mat.str-elcs.LGcs.NAquant-phstat.ML

Automatic Differentiation for Complex Valued SVD

Zhou-Quan Wan , Shi-Xin Zhang This is my paper
classification math.NA cond-mat.stat-mechcond-mat.str-elcs.LGcs.NAquant-phstat.ML
keywords complexautomaticdifferentiationformulavaluedbackcompletedecompositions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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