Qualitative Assumptions and Regularization in High-Dimensional Statistics

Abstract

Important and exciting developments are currently underway in nonparametric statistics involving inter-play between qualitative constraints, penalization, and regularization methods. Some of these developments are taking place on the theoretical side (with connections in the direction of empirical process theory), while other parts of the development are occurring on the algorithmic and approximation theory sides. This workshop brought together researchers from several of these groups to exchange ideas and problems, to probe further research directions.