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Near-Optimal Convex Optimization with Lazy Second-Order Oracles

· ArXiv · AI/CL/LG ·
The paper claims a tight iteration bound for convex optimization when Hessians are only queried every `m` steps.

It proves a lower bound of `Ω(m + m^(1/7) ε^(-2/7))` using a block zero-chain construction. It then gives a method matching that rate up to logarithmic factors. The result improves a prior upper bound with a worse dependence on `m`. Source: ArXiv · AI/CL/LG's note.

score 4

Categories: Research