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math.OC2026
Lyapunov Stability of Stochastic Vector Optimization: Theory and Numerical Implementation
Thiago Santos, Sebastiao Xavier
The use of stochastic differential equations in multi-objective optimization has been limited, in practice, by two persistent gaps: incomplete stability analyses and the absence of…
math.OC2026
An Adaptive KKT-Based Indicator for Convergence Assessment in Multi-Objective Optimization
Thiago Santos, Sebastiao Xavier
Performance indicators are essential tools for assessing the convergence behavior of multi-objective optimization algorithms, particularly when the true Pareto front is unknown or…