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A Single-Loop, Constant-Batch First-Order Penalty Method for Stochastic Bilevel Optimization WC7BN66XSN

URIm2://res/WC7BN66XSN
Kindpreprint
CreatorsXingyu Chen, Ming Yang, Quanqi Hu, Tianbao Yang
Date2026-10-05
MSC49-XX, 90-XX, 93-XX
Subjectsarxiv math.OC, arxiv cs.LG
Scopein

Expressions

e1: version, preprint

Languageen
Date2026-10-05
IdsarXiv 2610.07290

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1SE0ZN6XN1statementlemma 3arxiv
3EJS8G9AKBstatementlemma 4arxiv
Descent lemma for $\y$statementlemma 9arxiv
7C2GE7SB57statementlemma 7arxiv
Recursive bound for momentum with MSSstatementlemma 12arxiv
8SPRNSBCTQstatementlemma 2arxiv
DT2AH86EHPstatementtheorem 1arxiv
DZ59HDESXMstatementlemma 6arxiv
JDHJ7Z7P9Pstatementlemma 1arxiv
JHNM15MR3Xstatementtheorem 2arxiv
KXNCCZRAAZstatementlemma 10arxiv
lemma A.1(iistatementlemma 8arxiv
STQZZ6CV29statementlemma 5arxiv
STW3QTZY1Fstatementproposition 1arxiv
Descent lemma for $\s$ with MSSstatementlemma 13arxiv
Descent lemma for $\s$statementlemma 11arxiv

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