Author

Zhe Zhang

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Preprint Sep 2026

Accelerated Prox-Level Methods for Unknown Piecewise-Smooth Optimization II: Function-constrained Optimization

We introduce an anytime, almost parameter-free algorithm for convex function-constrained optimization, in which the objective and constraint functions are unknown piecewise-smooth. Our algorithm, Restarted Penalty APEX (Penalty Accelerated Prox-level method for Exploring Piecewise Smoothness), is an accelerated bundle-...

Zhen-Wei Lin, Zhe Zhang · 1 citation

Preprint Jul 2026

Optimal Parameter-Free First-Order Methods for Convex Optimization with Unknown Growth and Smoothness

We study deterministic first-order minimization of a convex function without prior knowledge of the objective's growth, smoothness regime, or associated parameters. We develop anytime, parameter-free bundle-level methods that adapt simultaneously to these unknown properties and attain best-known oracle complexities. Fo...

Liwei Jiang, Ke Tang, Zhe Zhang · 1 citation