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Species distribution models usually attempt to explain presence-absence or abundance of a species at a site in terms of the environmental features (socalled abiotic features) present at the site. Historically, such models have considered…

Methodology · Statistics 2018-09-25 Shinichiro Shirota , Alan E. Gelfand , Sudipto Banerjee

Abundance data are used in ecology for species monitoring and conservation. These count data often display several specific characteristics like numerous missing data, high variance, and a high proportion of zeros, particularly when…

Count data with high frequencies of zeros are found in many areas, specially in biology. Statistical models to analyze such data started to be developed in the 80s and are still a topic of active research. Such models usually assume a…

Applications · Statistics 2018-10-08 Gustavo Thomas , Luiz R. Nakamura , Rafael A. Moral , Clarice G. B. Demétrio

Learning models that can handle distribution shifts is a key challenge in domain generalization. Invariance learning, an approach that focuses on identifying features invariant across environments, improves model generalization by capturing…

Machine Learning · Statistics 2026-05-11 Yiran Jia , Jelena Bradic

Motivated by investigating spatio-temporal patterns of the distribution of continuous variables, we consider describing the conditional distribution function of the response variable incorporating spatio-temporal components given…

We propose to learn latent graphical models when data have mixed variables and missing values. This model could be used for further data analysis, including regression, classification, ranking etc. It also could be used for imputing missing…

Methodology · Statistics 2015-11-17 Xiao Li , Jinzhu Jia , Yuan Yao

Data on rates, percentages or proportions arise frequently in many different applied disciplines like medical biology, health care, psychology and several others. In this paper, we develop a robust inference procedure for the beta…

Methodology · Statistics 2018-01-16 Abhik Ghosh

Spatially correlated data with an excess of zeros, usually referred to as zero-inflated spatial data, arise in many disciplines. Examples include count data, for instance, abundance (or lack thereof) of animal species and disease counts, as…

Methodology · Statistics 2024-04-23 Ben Seiyon Lee , Murali Haran

Joint species distribution modeling is attracting increasing attention these days, acknowledging the fact that individual level modeling fails to take into account expected dependence/interaction between species. These models attempt to…

Methodology · Statistics 2019-08-27 Alan E. Gelfand , Shinichiro Shirota

Earth observation (EO) applications involving complex and heterogeneous data sources are commonly approached with machine learning models. However, there is a common assumption that data sources will be persistently available. Different…

Machine Learning · Computer Science 2024-10-15 Francisco Mena , Diego Arenas , Marcela Charfuelan , Marlon Nuske , Andreas Dengel

Understanding the assembly of ecosystems to estimate the number of species at different spatial scales is a challenging problem. Until now, maximum entropy approaches have lacked the important feature of considering space in an explicit…

Populations and Evolution · Quantitative Biology 2014-07-10 Matteo Adorisio , Jacopo Grilli , Samir Suweis , Sandro Azaele , Jayanth R. Banavar , Amos Maritan

The Dirichlet-multinomial (DM) distribution plays a fundamental role in modern statistical methodology development and application. Recently, the DM distribution and its variants have been used extensively to model multivariate count data…

Methodology · Statistics 2023-02-27 Matthew D. Koslovsky

Microbiome `omics approaches can reveal intriguing relationships between the human microbiome and certain disease states. Along with the identification of specific bacteria taxa associated with diseases, recent scientific advancements…

Applications · Statistics 2019-10-07 Shuang Jiang , Guanghua Xiao , Andrew Y. Koh , Qiwei Li , Xiaowei Zhan

Spatiotemporal data analysis with massive zeros is widely used in many areas such as epidemiology and public health. We use a Bayesian framework to fit zero-inflated negative binomial models and employ a set of latent variables from…

Methodology · Statistics 2024-02-08 Qing He , Hsin-Hsiung Huang

We study a high-dimensional regression setting under the assumption of known covariate distribution. We aim at estimating the amount of explained variation in the response by the best linear function of the covariates (the signal level). In…

Statistics Theory · Mathematics 2022-05-12 Ilan Livne , David Azriel , Yair Goldberg

In ecology we may find scenarios where the same phenomenon (species occurrence, species abundance, etc.) is observed using two different types of samplers. For instance, species data can be collected from scientific sampling with a…

This paper investigates two environmental applications related to climate change, where observations consist of bounded counts. The binomial and beta-binomial (BB) models are commonly used for bounded count data, with the BB model offering…

In many cases, a machine learning model must learn to correctly predict a few data points with particular values of interest in a broader range of data where many target values are zero. Zero-inflated data can be found in diverse scenarios,…

Analyzing overdispersed, zero-inflated, longitudinal count data poses significant modeling and computational challenges, which standard count models (e.g., Poisson or negative binomial mixed effects models) fail to adequately address. We…

Methodology · Statistics 2026-02-11 John Barrera , Ana Arribas-Gil , Dae-Jin Lee , Cristian Meza

Researchers are often interested in predicting outcomes, conducting clustering analysis to detect distinct subgroups of their data, or computing causal treatment effects. Pathological data distributions that exhibit skewness and…

Methodology · Statistics 2020-08-24 Arman Oganisian , Nandita Mitra , Jason Roy