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Faster Gradient-Free Algorithms for Nonsmooth Nonconvex Stochastic Optimization

ICML 2023 · Optimization › Nonconvex and smooth optimization · approach: Nonconvex minimax and constrained methods · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace single-sample zeroth-order estimates with recursive gradient estimates and periodic batch refreshesGFM for nonsmooth nonconvex stochastic optimization · Nonsmooth nonconvex stochastic optimizationstochastic zeroth-order oracle complexity: \fO\left(d^{3/2} \left( \dfrac{ L^4 }{\epsilon^4} + \dfrac{ \Delta L^3 }{\delta \epsilon^4}\right) \right) -> \mathcal{OHelped
Use recursive gradient estimation instead of the vanilla zeroth-order gradient estimatorGFM · Nonconvex penalized SVMloss versus zeroth-order complexityHelped
Use recursive gradient estimation instead of the vanilla zeroth-order gradient estimatorGFM · Black-box attack on CNN (MNIST, Fashion-MNIST)attack success rateHelped
Warm-start GFM+ with GFM to reduce the initial objective gapGFM+ for nonsmooth convex optimization · Nonsmooth convex stochastic optimizationstochastic zeroth-order oracle complexity: \mathcal{O}\left( \frac{d^{3/2} L^3}{\epsilon^3} + \frac{d^{3/2} L^3 R}{\delta \epsilon^3} \right) -> \mathcal{O}\left( Helped

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