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Author

Ze-Chao Li

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#machine learning Preprint Oct 2026

Optimal Momentum Methods for Stochastic Multilevel Compositional Optimization

A momentum-based estimator with mini-batches is employed to track the function values of each level, which are subsequently used to construct momentum gradient estimators, and a batch-free method that incorporates a first-order approximation and a clipping technique for function value estimation is developed.

Wei Jiang, Rui Yan, Si-Fan Yang et al. · 0 citations
#machine learning Preprint Sep 2026

Revisiting Distributed Sign-Based Variance Reduction

This paper solves the problem of sign-based variance reduction methods' failure to obtain optimal convergence rates for both nonconvex stochastic and finite-sum optimization, and proposes tracking the global gradient at the server through unbiased compression of recursive gradient increments.

Wei Jiang, Ze-Chao Li, Li-Jun Zhang · 0 citations
#machine learning Preprint Sep 2026

Projection-Free Multi-level Algorithms for Stochastic Constrained Compositional Optimization

This paper studies projection-free algorithms for stochastic constrained multi-level compositional optimization and proposes variance-reduced projection-free algorithms and establishes complexity guarantees under both the Frank-Wolfe gap and the gradient mapping criteria.

Wei Jiang, Si-Fan Yang, Wen-Hao Yang et al. · 0 citations
#machine learning Preprint Sep 2026

Solving Finite-sum Coupled Compositional Optimization via Multi-block-Single-probe Estimator

Traditional variance reduction methods (e.g., SPIDER, SARAH, STORM) have been extensively investigated for improving the convergence rates of stochastic optimization. These techniques typically maintain a sequence of estimators for a single function (or gradient) across iterations. However, what if we need to track mul...

Wei Jiang, Si-Fan Yang, Yi-Bo Wang et al. · 0 citations

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