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math.ST2019
Regression models for compositional data: General log-contrast formulations, proximal optimization, and microbiome data applications
Patrick L. Combettes, Christian L. Müller
Compositional data sets are ubiquitous in science, including geology, ecology, and microbiology. In microbiome research, compositional data primarily arise from high-throughput seq…
math.ST2018
Prediction Error Bounds for Linear Regression With the TREX
Jacob Bien, Irina Gaynanova, Johannes Lederer +1
The TREX is a recently introduced approach to sparse linear regression. In contrast to most well-known approaches to penalized regression, the TREX can be formulated without the us…