Author

Qian Chen

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Preprint Oct 2026

Matching Complexity for Second-Order Stationary Point with Sample Reuse

We consider stochastic nonconvex optimization with sample-wise Lipschitz gradients and Hessians, and reusable opaque sample handles. Gradient and complete-Hessian evaluations are charged separately, including both endpoints of a same-sample difference. For fixed positive problem parameters and in the high-dimensional w...

Qian Chen, Wen-Dao Wu, Hai-Han Zhang et al. · 0 citations

Preprint Oct 2026

Matching Randomized Bounds for Finite-Sum Nonconvex-Concave Optimization

The randomized component-oracle complexity of finite-sum nonconvex-concave optimization with a bounded dual domain is characterized, taking the worst case over admissible known dual domains and finite dimensions.

Wen-Dao Wu, Hai-Han Zhang, Qian Chen et al. · 0 citations

#machine learning Preprint Oct 2026

Beyond Overparameterization: Provable Learning of Input-Convex Multi-Layer Polynomial Networks with Active Queries

The theoretical understanding of multi-layer neural networks is largely confined to overparameterized settings, which obscure parameter identifiability and incur high sample complexity. Neural tangent kernel (NTK) provides a general theory for wide networks, but does not offer efficient sample-complexity guarantees. Re...

Jing-Qiao Tang, Qian Chen, Shihong Ding et al. · 0 citations