Research map / Optimization / Nonconvex and smooth optimization
Accelerated Stochastic Gradient-free and Projection-free Methods
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use Acc-ZO-FW instead of FW-Black | Finite-sum optimization · Finite-sum nonconvex optimization | function query complexity: O(dnε^{-4}) -> O(dnε^{-2}); improves the existing result by a factor of O(ε^{-2}) | Helped |
| Add SPIDER/SpiderBoost variance reduction and momentum acceleration | Acc-SZOFW · Finite-sum nonconvex optimization | function query complexity: O(dnε^{-4}) -> O(dn^{\frac{1}{2}}ε^{-2}); improves the existing result by a factor of O(\sqrt{n}ε^{-2}) | Helped |
| Add SPIDER/SpiderBoost variance reduction and momentum acceleration | Acc-SZOFW · Stochastic nonconvex optimization | function query complexity: O(dε^{-4}) -> O(dε^{-3}); improves the existing result by a factor of O(ε^{-1}) | Helped |
| Replace large-batch SPIDER-style variance reduction with STORM (ablation) | Acc-SZOFW · Stochastic nonconvex optimization | function query complexity: O(dε^{-3}) | No clear effect |
| Replace CooGE with UniGE (ablation) | Acc-SZOFW · Stochastic nonconvex optimization | function query complexity: O(dε^{-3}) | No clear effect |
| Replace CooGE with UniGE (ablation) | Acc-SZOFW* · Stochastic nonconvex optimization | function query complexity: O(dε^{-3}) -> O(d^{\frac{3}{2}}ε^{-3}) | Hurt |
| Use UniGE rather than CooGE (ablation) | Acc-SZOFW variants · Universal adversarial perturbation and robust black-box binary classification | function query convergence speed | Helped |
| Use CooGE rather than UniGE (ablation) | Acc-SZOFW variants · Universal adversarial perturbation | attack loss versus function queries | Hurt |
| Use Acc-SZOFW instead of Acc-SZOFW* | Stochastic zeroth-order Frank-Wolfe · Universal adversarial perturbation | attack loss | Helped |
| Add the proposed momentum acceleration to the deterministic zeroth-order Frank-Wolfe method | Acc-ZO-FW · Single adversarial perturbation (MNIST, CIFAR10) | attack loss | Helped |
| Add variance reduction and momentum acceleration | Acc-SZOFW algorithms · Universal adversarial perturbation and robust black-box binary classification | convergence speed per iteration | Helped |
Closest papers by meaning
- Can Stochastic Zeroth-Order Frank-Wolfe Method Converge Faster for Non-Convex Problems? (ICML 2020 · similarity 0.93)
- Variance-Reduced and Projection-Free Stochastic Optimization (ICML 2016 · similarity 0.90)
- Sarah Frank-Wolfe: Methods for Constrained Optimization with Best Rates and Practical Features (ICML 2024 · similarity 0.90)
- Revisiting Frank-Wolfe for Structured Nonconvex Optimization (NeurIPS 2025 · similarity 0.89)
- Stochastic Zeroth-Order Optimization Under Heavy-Tailed Noise (NeurIPS 2026 · similarity 0.87)
- Zeroth-Order Methods for Constrained Nonconvex Nonsmooth Stochastic Optimization (ICML 2024 · similarity 0.87)
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