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
Adaptive posterior concentration rates for sparse high-dimensional linear regression with random design and unknown error variance
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DOI: 10.1007/s42952-025-00346-y
Abstract: This paper investigates sparse high-dimensional linear regression, particularly examining the properties of the posterior under conditions of random design and unknown error variance. We provide consistency results for the posterior and analyze its concentration rates,… read more here.
Keywords: high dimensional; sparse high; dimensional linear; regression ... 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