Computing the roots of sparse high–degree polynomials that arise from the study of random simplicial complexes
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DOI: 10.1007/s11075-019-00745-3
Abstract: The problem of computing the roots of a particular sequence of sparse polynomials p n ( t ) is considered. Each instance p n ( t ) incorporates only the n + 1 monomial terms t… read more here.
Keywords: high degree; computing roots; sparse high; roots sparse ... See more keywords
Empirical Bayes posterior concentration in sparse high-dimensional linear models
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DOI: 10.3150/15-bej797
Abstract: We propose a new empirical Bayes approach for inference in the $p \gg n$ normal linear model. The novelty is the use of data in the prior in two ways, for centering and regularization. Under… read more here.
Keywords: empirical bayes; posterior concentration; bayes posterior; sparse high ... See more keywords