23 citations · 63 across the 9 of their papers we have counts for
10 papers
Lipschitz constants in experimental optimization
Gene A. Bunin, Grégory François
The Lipschitz constant of a response surface function upper bounds the sensitivity of a dependent variable to changes in the independent ones. Traditionally, such constants have fo…
Constraint back-offs for safe, sufficient excitation: a general theory with application to experimental optimization
Gene A. Bunin
In many experimental settings, one is tasked with obtaining information about certain relationships by applying perturbations to a set of independent variables and noting the chang…
Feasible-side global convergence in experimental optimization
Gene A. Bunin, Grégory François, Dominique Bonvin
We propose a canonical form of the experimental optimization problem and review the state-of-the-art methods to solve it. As guarantees of global convergence to an optimal point vi…
On linear and quadratic Lipschitz bounds for twice continuously differentiable functions
Gene A. Bunin, Grégory François, Dominique Bonvin
Lower and upper bounds for a given function are important in many mathematical and engineering contexts, where they often serve as a base for both analysis and application. In this…
Implementation techniques for the SCFO experimental optimization framework
Gene A. Bunin, Grégory François, Dominique Bonvin
The material presented in this document is intended as a comprehensive, implementation-oriented supplement to the experimental optimization framework presented in a companion docum…
On the piecewise-concave approximations of functions
Gene A. Bunin
The piecewise-concave function may be used to approximate a wide range of other functions to arbitrary precision over a bounded set. In this short paper, this property is proven fo…