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...

Abstract Regression analysis is a statistical procedure that fits mathematical function to set of data in order capture the relationship between dependent and independent variables. In tree regression, structures are constructed by repeated splits input space into two subsets, creating if-then-else rules. Such models popular literature due their ability be computed quickly simple interpretation...

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...