Over the past few decades, neuroscience experiments have become increasingly complex and naturalistic. Experimental design has in turn more challenging, as must conform to an ever-increasing diversity of constraints. In this article, we demonstrate how process can be greatly assisted using optimization tool known mixed-integer linear programming (MILP). MILP provides a rich framework for incorp...

We study the performance of Empirical Revenue Maximizing (ERM) mechanism in a single-item, single-seller, single-buyer setting. assume buyer’s valuation is drawn from regular distribution F and that seller has access to two independently samples F. By solving family mixed-integer linear programs (MILPs), ERM proven guarantee at least .5914 times optimal revenue expectation. Using solutions thes...