4 papers
Non-standard boundary behaviour in two-component mixture models
Heather Battey, Peter McCullagh, Daniel Xiang
Consider a binary mixture model of the form , where is standard Gaussian and is a completely specified heavy-tailed distribution with the same…
Post-reduction inference for confidence sets of models
Heather Battey, Daniel Garcia Rasines, Yanbo Tang
Sparsity in a regression context makes the model itself an object of interest, pointing to a confidence set of models as the appropriate presentation of evidence. A difficulty in a…
Cox reduction and confidence sets of models: a theoretical elucidation
R. M. Lewis, H. S. Battey
For sparse high-dimensional regression problems, Cox and Battey [1, 9] emphasised the need for confidence sets of models: an enumeration of those small sets of variables that fit t…
Regression graphs and sparsity-inducing reparametrizations
Jakub Rybak, Heather Battey, Karthik Bharath
That parametrization and sparsity are inherently linked raises the possibility that relevant models, not obviously sparse in their natural formulation, exhibit a population-level s…