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math.OC2026

Communication-Efficient Differentially Private Gradient Tracking for Distributed Optimization via Local Updates

Mihitha Maithripala, Chenyang Qiu, Zongli Lin

This paper studies privacy-preserving distributed optimization using gradient tracking with one communication-free local update between consecutive communication rounds. Since loca…

math.OC2026

A Momentum-based Stochastic Algorithm for Linearly Constrained Nonconvex Optimization

Chenyang Qiu, Mihitha Maithripala, Zongli Lin

This paper studies a stochastic algorithm for linearly constrained nonconvex optimization, where the objective function is smooth but only unbiased stochastic gradients with bounde…

math.OC2025

An Accelerated Distributed Optimization with Equality and Inequality Coupling Constraints

Chenyang Qiu, Yangyang Qian, Zongli Lin +1

This paper studies distributed convex optimization with both affine equality and nonlinear inequality couplings through the duality analysis. We first formulate the dual of the cou…

math.OC2025

A Distributed Gradient-based Algorithm for Optimization Problems with Coupled Equality Constraints

Chenyang Qiu, Zongli Lin

This paper studies a class of distributed optimization problems with coupled equality constraints in networked systems. Many existing distributed algorithms rely on solving local s…

math.OC2025

Non-Ergodic Convergence Algorithms for Distributed Consensus and Coupling-Constrained Optimization

Chenyang Qiu, Zongli Lin

We study distributed convex optimization with two ubiquitous forms of coupling: consensus constraints and global affine equalities. We first design a linearized method of multiplie…