Research map / Optimization / Nonconvex and smooth optimization
Faster Gradient-Free Algorithms for Nonsmooth Nonconvex Stochastic Optimization
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Replace single-sample zeroth-order estimates with recursive gradient estimates and periodic batch refreshes | GFM for nonsmooth nonconvex stochastic optimization · Nonsmooth nonconvex stochastic optimization | stochastic 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{O | Helped |
| Use recursive gradient estimation instead of the vanilla zeroth-order gradient estimator | GFM · Nonconvex penalized SVM | loss versus zeroth-order complexity | Helped |
| Use recursive gradient estimation instead of the vanilla zeroth-order gradient estimator | GFM · Black-box attack on CNN (MNIST, Fashion-MNIST) | attack success rate | Helped |
| Warm-start GFM+ with GFM to reduce the initial objective gap | GFM+ for nonsmooth convex optimization · Nonsmooth convex stochastic optimization | stochastic 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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