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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)…
math.OC2025
A unified vertical alignment and earthwork model in road design with a new convex optimization model for road networks
Sayan Sadhukhan, Warren Hare, Yves Lucet
The vertical alignment optimization problem in road design seeks the optimal vertical alignment of a road at minimal cost, taking into account earthwork while meeting all safety an…
math.OC2025
CLARSTA: A random subspace trust-region algorithm for convex-constrained derivative-free optimization
Yiwen Chen, Warren Hare, Amy Wiebe
This paper proposes a random subspace trust-region algorithm for general convex-constrained derivative-free optimization (DFO) problems. Similar to previous random subspace DFO met…