4 papers · 1 filter
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)…
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…
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…
The cosine measure relative to a subspace
Charles Audet, Warren Hare, Gabriel Jarry-Bolduc
The cosine measure was introduced in 2003 to quantify the richness of a finite positive spanning sets of directions in the context of derivative-free directional methods. A positiv…