Liquid Scorecards

Abstract: Traditional credit scorecards are generalized additive models (GAMs) with step functions as the component functions. The shapes of the step functions may be constrained in order to satisfy the PILE (Palatability, Interpretability, Legal, Explain-ability) constraints. Before 2003, FICO used Linear Programming to find the traditional scorecard that approximately maximizes divergence subject to the PILE constraints. In this paper, I introduce the Liquid Scorecard, that allows the component functions to be, at least partially, smooth curves. I use Quadratic Programming and B-Spline theory to find the Liquid Scorecard that exactly maximizes divergence subject to the PILE constraints. FICO uses aspects of this technology to develop the famous FICO Credit Score.