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math.OC2021★ 3 cited
Error Analysis of Surrogate Models Constructed through Operations on Sub-models
Yiwen Chen, Gabriel Jarry-Bolduc, Warren Hare
Model-based methods are popular in derivative-free optimization (DFO). In most of them, a single model function is built to approximate the objective function. This is generally ba…
math.OC2021
Nicely structured positive bases with maximal cosine measure
Warren Hare, Gabriel Jarry-Bolduc, Chayne Planiden
The properties of positive bases make them a useful tool in derivative-free optimization (DFO) and an interesting concept in mathematics. The notion of the \emph{cosine measure} he…