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math.OC2026
Cost-Aware Iteration Allocation for Sequential Multi-Fidelity First-Order Optimization
Amir Ardestani-Jaafari, Warren Hare, Zhongda Huang
Optimization can be expensive when evaluating the objective and its gradient requires a large dataset or a costly simulation. A cheaper approximation (i.e., a surrogate) can provid…
math.OC2026
Accuracy and Relationships of Quadratic Models in Derivative-free Optimization
Yiwen Chen, Warren Hare, Lindon Roberts
We study three quadratic models in model-based derivative-free optimization: the minimum norm (MN), minimum Frobenius norm (MFN), and quadratic generalized simplex derivative (QS)…