3 citations · 3 across the 13 of their papers we have counts for
4 papers · 1 filter
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…
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…
Approximating the diagonal of a Hessian: which sample set of points should be used
Gabriel Jarry-Bolduc
An explicit formula to approximate the diagonal entries of the Hessian is introduced. When the derivative-free technique called \emph{generalized centered simplex gradient} is used…
Limiting behaviour of the generalized simplex gradient as the number of points tends to infinity on a fixed shape in R^n
Warren Hare, Gabriel Jarry-Bolduc, Chayne Planiden
This work investigates the asymptotic behaviour of the gradient approximation method called the generalized simplex gradient (GSG). This method has an error bound that at first gla…