The microbiome represents a hidden world of tiny organisms populating not only our
surroundings but also our own bodies. By enabling comprehensive profiling of these …

We propose a geometric framework to describe and analyse a wide array of operator
splitting methods for solving monotone inclusion problems. The initial inclusion problem …

Modern high-throughput sequencing technologies provide low-cost microbiome survey data
across all habitats of life at unprecedented scale. At the most granular level, the primary data …

It is important to quantify the differences in returns to skills using the online job
advertisements data, which have attracted great interest in both labor economics and …

This work is concerned with the classical problem of finding a zero of a sum of maximal
monotone operators. For the projective splitting framework recently proposed by Combettes …

Including pairwise interactions between the predictors of a regression model can produce
better predicting models. However, to fit such interaction models on typical data sets in …

We propose a novel approach to monotone operator splitting based on the notion of a
saddle operator. Under investigation is a highly structured multivariate monotone inclusion …

Compositional data reside in a simplex and measure fractions or proportions of parts to a
whole. Most existing regression methods for such data rely on log‐ratio transformations that …

Systems models, which by design aim to capture multi-level complexity, are a natural choice
of tool for bridging the divide between social epidemiology and causal inference. In this …

Motivation Although the human microbiome plays a key role in health and disease, the
biological mechanisms underlying the interaction between the microbiome and its host are …