The paper derives fully linear error bounds for minimum norm, minimum Frobenius norm, and quadratic generalized simplex derivative models, establishes directional fully quadratic Hessian accuracy under mild sample set conditions, and characterizes when the models coincide.
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Accuracy and Relationships of Quadratic Models in Derivative-free Optimization
The paper derives fully linear error bounds for minimum norm, minimum Frobenius norm, and quadratic generalized simplex derivative models, establishes directional fully quadratic Hessian accuracy under mild sample set conditions, and characterizes when the models coincide.