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Fast Differentiable SVD on GPU via Polar Decomposition N8MYP1Z659

URIm2://res/N8MYP1Z659
Kindpreprint
CreatorsUliana Parkina, Askar Tsyganov, Sergei Kudriashov, Sergey Samsonov, Maxim Rakhuba
Date2026-09-26
MSC65-XX
Subjectsarxiv math.NA, arxiv cs.LG, arxiv cs.NA
Scopein

Expressions

e1: version, preprint

Languageen
Date2026-09-26
IdsarXiv 2609.32505, zbl_id 903184688

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

ItemKindWhereSource
3HNH86MBTEstatementlemma H.2arxiv
Existing gradient of EVDstatementproposition F.1arxiv
6CJWMD3JNEstatementproposition D.2arxiv
Backward differentiation of low-rank SVDstatementtheorem G.1arxiv
AHQ579XH9Jstatementlemma D.1arxiv
SVD-inv inconsistencyexampleexample C.1arxiv
Polar decompositiondefinitiondefinition 3.1arxiv
C5TQSFQ63Tstatementproposition 5.2arxiv
SVD backward formula in the degenerate casestatementtheorem H.1arxiv
Tikhonov Regularization for Linear Equationsstatementproposition E.1arxiv
M3Y75Q72PJstatementtheorem 5.1arxiv
QAFPC1NCD9statementtheorem 5.4arxiv
Solving the Symmetric Lyapunov Equationstatementproposition D.3arxiv
EVD pseudo-gradientdefinitiondefinition 5.3arxiv
Full-rank SVD backwardstatementcorollary G.2arxiv
YHMGXTZN1Estatementlemma E.2arxiv

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