The paper describes a procedure for mixed integer programming that allows branches to be imposed 'by degrees', which can subsequently be revised or weeded out according to their relative influence. It is an adaptive approach in which the branch and bound tree can be manipulated and restructured....

This paper focuses on a subclass of box-constrained, non-linear optimization problems. We are particularly concerned with settings where gradient information is unreliable, or too costly to calculate, and the function evaluations themselves are very costly. This encourages the use of derivative...