This paper is motivated by the recent interest in the analysis of high dimensional microbiome data. A key feature of this data is the presence of ‘structural zeros’ which are microbes missing from an observation vector due to an underlying biological process and not due to error in measurement. Typical notions of missingness are insufficient to model these structural zeros. We define a general ...

This article presents a system created in the computer-aided composition environment OpenMusic in order to handle complex compositional data related to sound synthesis processes. This system gathers two complementary strategies: the use of sound analysis data as basic material, and the specification of abstract rules in order to automatically process and extend this basic material.

in this paper, a simplified formulation for compositional reservoir simulator is presented. these types of simulators are used when inter-phase mass transfer depends on phase composition as well as pressure. the procedure for solving compositional model equations is completely described. for equilibrium calculation, property estimation peng robinson equation of state is used. this equation was ...

Outlier detection is an important task for the statistical analysis of multivariate data, because often the outliers contain important information about the data structure. In compositional data, represented usually as proportions subject to a unit sum constraint, the ratios between the parts (variables) contain the essential information. This inherent property is, however, incompatible with th...

Simpson’s paradox, also known as amalgamation or aggregation paradox, appears when dealing with proportions. Proportions are by construction parts of a whole, which can be interpreted as compositions assuming they only carry relative information. The Aitchison inner product space structure of the simplex, the sample space of compositions, explains the appearance of the paradox, given that amalg...

Detailed composition measurements can be a very powerful means of tracing origins, a fact used regularly by forensic scientists and art historians. One of the main motivating factors for making detailed observations of cosmic rays was always the hope that a unique compositional signature could be found which pointed unambiguously to a particular source. This has proven much harder than expected...

1 Marker gene sequencing of microbial communities has generated big datasets 2 of microbial relative abundances varying across environmental conditions, sam3 ple sites and treatments. These data often come with putative phylogenies, 4 providing unique opportunities to investigate how shared evolutionary history 5 a ects microbial abundance patterns. Here, we present a method to identify the 6 p...