A0995
Title: Flexible regularized estimating equations: Some new perspectives
Authors: Archer Yang - McGill University (Canada) [presenting]
Abstract: The focus is on observations about the equivalences between regularized estimating equations, fixed-point problems and variational inequalities: (a) A regularized estimating equation is equivalent to a fixed-point problem, specified via the proximal operator of the corresponding penalty. (b) A regularized estimating equation is equivalent to a (generalized) variational inequality. Both equivalences extend to any estimating equations with convex penalty functions. To solve large-scale regularized estimating equations, it is worth pursuing computation by exploiting these connections. While fast computational algorithms are less developed for regularized estimating equations, there are many efficient solvers for fixed-point problems and variational inequalities. In this regard, some efficient and scalable solvers are applied which can deliver a hundred-fold speed improvement. These connections can lead to further research in both computational and theoretical aspects of the regularized estimating equations.
