= Tony Cai
{c}
<Tony Cai> develops methods and theory for <high-dimensional statistics>, <statistical decision theory> and statistical <machine learning>. His research includes <functional data analysis> and applications to <genomics>.https://statistics.wharton.upenn.edu/profile/tcai/[Official research areas]{ref}
With <Weidong Liu> and <Xi Luo>, he introduced CLIME, estimating a sparse <precision matrix> through <linear programming>. Their results bound estimation error under sparsity and tail assumptions. The method makes a useful distinction between an optimization constraint and a theorem: <positive definiteness> of the final estimate is established under conditions, rather than imposed as a constraint in the columnwise programs.<A Constrained L1 Minimization Approach to Sparse Precision Matrix Estimation by Tony Cai and others>[Section2 formulation and positive-definiteness result]{ref}
\Image[https://faculty.wharton.upenn.edu/wp-content/uploads/2016/11/TonyCai22-129x139.jpg]
{title=Tony Cai}
{description=Portrait identified on the linked official researcher profile; photographer and licence are not asserted.}
{source=https://statistics.wharton.upenn.edu/profile/tcai/}
{width=220}
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