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Stochastic Bilevel Optimization on Stochastic Bilevel Optimization

1Sample Complexity Bound FormSPABA-FS
0.762.3845.62May 11, 2026

Evaluation results

MethodLinks
SPABA-FSS.L. (Single-loop)=✓, Oracle=H/JVP, Assmp. (Assumption regime)=Std., E.Assmp. (Extra assumption)=–, U.S. (Update space)=Full2026.051———
SOBAS.L. (Single-loop)=✓, Oracle=H/JVP, Assmp. (Assumption regime)=Str., E.Assmp. (Extra assumption)=HO, U.S. (Update space)=Full2026.052———
BROSS.L. (Single-loop)=✓, Oracle=H/JVP, Assmp. (Assumption regime)=Std., E.Assmp. (Extra assumption)=RP, U.S. (Update space)=Proj.2026.052———
MA-SOBAS.L. (Single-loop)=✓, Oracle=H/JVP, Assmp. (Assumption regime)=Std., E.Assmp. (Extra assumption)=–, U.S. (Update space)=Full2026.052———
BSAS.L. (Single-loop)=×, Oracle=H/JVP, Assmp. (Assumption regime)=Std., E.Assmp. (Extra assumption)=–, U.S. (Update space)=Full2026.053———
SUSTAIN/MRBOS.L. (Single-loop)=✓, Oracle=H/JVP, Assmp. (Assumption regime)=Str., E.Assmp. (Extra assumption)=MS, U.S. (Update space)=Full2026.053———
FdeHBOS.L. (Single-loop)=✓, Oracle=FO, Assmp. (Assumption regime)=Diff., E.Assmp. (Extra assumption)=FD+Proj., U.S. (Update space)=Full2026.053———
SPABA-ES.L. (Single-loop)=✓, Oracle=H/JVP, Assmp. (Assumption regime)=Str., E.Assmp. (Extra assumption)=MS, U.S. (Update space)=Full2026.053———
F3SAS.L. (Single-loop)=✓, Oracle=FO, Assmp. (Assumption regime)=Diff., E.Assmp. (Extra assumption)=FO, U.S. (Update space)=Full2026.055———
F2SAS.L. (Single-loop)=✓, Oracle=FO, Assmp. (Assumption regime)=Diff., E.Assmp. (Extra assumption)=FO, U.S. (Update space)=Full2026.057———