Keywords: semiparametric sparsity.
Beyond normality and linearity: semiparametric inference with functional and structural sparsity.
Keywords: statistical optimization.
Beyond convexity: theory of nonconvex optimization and algorithmic statistics.
Keywords: high dimensional inference.
Beyond estimation: local and global confidence sets and hypothesis testing in high dimensions.
Keywords: genomics, neuroimage, and financial time series.
Understanding informational and computational complexity, modelig flexibility and structural complexity, statistical regularization and optimization robustness.