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math.OC2026
A Bounded Degree SOS Plus SONC Hierarchy for Polynomial Optimization
Mareike Dressler, Qi Wang
We propose a bounded degree SOS+SONC hierarchy for constrained polynomial optimization, termed B-SOS+SONC. Starting from Lasserre's bounded-degree SOS framework, we enlarge the cer…
math.OC2026
Swarm-Based Inertial Methods for Optimization
Qiyu Wu, Kunhui Luan, Qi Wang
We introduce a new class of swarm-based inertial methods (SBIMs) for global minimization, formulated as coupled dissipative inertial dynamical systems derived from the generalized…
math.OC2026
Projected Stochastic Momentum Methods for Nonlinear Equality-Constrained Optimization for Machine Learning
Qi Wang, Christian Piermarini, Yunlang Zhu +1
Two algorithms are proposed, analyzed, and tested for solving continuous optimization problems with nonlinear equality constraints. Each is an extension of a stochastic momentum-ba…