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math.OC2023★ 1 cited
Differential-Equation Constrained Optimization With Stochasticity
Qin Li, Li Wang, Yunan Yang
Most inverse problems from physical sciences are formulated as PDE-constrained optimization problems. This involves identifying unknown parameters in equations by optimizing the mo…
math.OC2020★ 1 cited
A Lagrange Multiplier Expression Method for Bilevel Polynomial Optimization
Jiawang Nie, Li Wang, Jane Ye +1
This paper studies bilevel polynomial optimization problems. To solve them, we give a method based on polynomial optimization relaxations. Each relaxation is obtained from the Kura…