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Many modern applications collect highly imbalanced categorical data, with some categories relatively rare. Bayesian hierarchical models combat data sparsity by borrowing information, while also quantifying uncertainty. However, posterior…

Statistics Theory · Mathematics 2017-06-27 James E. Johndrow , Aaron Smith , Natesh Pillai , David B. Dunson

We address a novel approach for stochastic individual-based modelling of a single species population. Individuals are distinguished by their remaining lifetimes, which are regulated by the interplay between the inexorable running of time…

Populations and Evolution · Quantitative Biology 2021-01-08 Luis R. T. Neves , Leonardo Paulo Maia

Populations of interest are often hidden from data for a variety of reasons, though their magnitude remains important in determining resource allocation and appropriate policy. One popular approach to population size estimation, the…

Methodology · Statistics 2025-06-27 Mallory J Flynn , Paul Gustafson

Modeling species abundance patterns using local environmental features is an important, current problem in ecology. The Cape Floristic Region (CFR) in South Africa is a global hot spot of diversity and endemism, and provides a rich class of…

Invasive rodents pose significant ecological, economic, and public health challenges. Robust methods are needed for estimating population abundance to guide effective management. Traditional methods such as capture-recapture are often…

Populations and Evolution · Quantitative Biology 2025-04-22 Olivier Gimenez

The network scale-up method enables researchers to estimate the size of hidden populations, such as drug injectors and sex workers, using sampled social network data. The basic scale-up estimator offers advantages over other size estimation…

Applications · Statistics 2016-11-14 Dennis M. Feehan , Matthew J. Salganik

Large models, encompassing large language and diffusion models, have shown exceptional promise in approximating human-level intelligence, garnering significant interest from both academic and industrial spheres. However, the training of…

Machine Learning · Computer Science 2024-03-05 Yue Zhou , Chenlu Guo , Xu Wang , Yi Chang , Yuan Wu

Small datasets are common in health research. However, the generalization performance of machine learning models is suboptimal when the training datasets are small. To address this, data augmentation is one solution. Augmentation increases…

We propose a general and flexible capture-recapture model in continuous time. Our model incorporates time-heterogeneity, observed and unobserved individual heterogeneity, and behavioral response to capture. Behavioral response can possibly…

Methodology · Statistics 2014-01-13 Alessio Farcomeni , Daria Scacciatelli

Mathematical models of biological populations commonly use discrete structure classes to capture trait variation among individuals (e.g. age, size, phenotype, intracellular state). Upscaling these discrete models into continuum descriptions…

Populations and Evolution · Quantitative Biology 2026-03-18 Eleonora Agostinelli , Keith L. Chambers , Helen M. Byrne , Mohit P. Dalwadi

We are interested in modelling Darwinian evolution, resulting from the interplay of phenotypic variation and natural selection through ecological interactions. Our models are rooted in the microscopic, stochastic description of a population…

Probability · Mathematics 2016-08-16 Nicolas Champagnat , Régis Ferrière , Sylvie Méléard

We propose an extension of the N-mixture model which allows for the estimation of both abundances of multiple species simultaneously and their inter-species correlations. We also propose further extensions to this multi-species N-mixture…

Methodology · Statistics 2022-08-17 Niamh Mimnagh , Andrew Parnell , Estevao Prado , Rafael de Andrade Moral

Data augmentation is a ubiquitous technique for increasing the size of labeled training sets by leveraging task-specific data transformations that preserve class labels. While it is often easy for domain experts to specify individual…

Machine Learning · Statistics 2018-12-10 Alexander J. Ratner , Henry R. Ehrenberg , Zeshan Hussain , Jared Dunnmon , Christopher Ré

Providing diagnostic feedback about growth is crucial to formative decisions such as targeted remedial instructions or interventions. This paper proposed a longitudinal higher-order diagnostic classification modeling approach for measuring…

Methodology · Statistics 2018-09-19 Peida Zhan , Hong Jiao , Dandan Liao

Data augmentation has been shown to effectively improve the performance of multimodal machine learning models. This paper introduces a generative model for data augmentation by leveraging the correlations among multiple modalities.…

Computer Vision and Pattern Recognition · Computer Science 2021-10-26 Zixu Wang , Yishu Miao , Lucia Specia

Methods for population estimation and inference have evolved over the past decade to allow for the incorporation of spatial information when using capture-recapture study designs. Traditional approaches to specifying spatial…

Methodology · Statistics 2024-01-23 Mevin B Hooten , Michael R Schwob , Devin S Johnson , Jacob S Ivan

Capture-recapture methods for estimating the total size of elusive populations are widely-used, however, due to the choice of estimator impacting upon the results and conclusions made, the question of performance of each estimator is…

Methodology · Statistics 2023-12-15 Layna Charlie Dennett , Dankmar Böhning

We introduce and solve a model that mimics the herding effect in financial markets when groups of agents share information. The number of agents in the model is growing and at each time step either (i) with probability $p$ an incoming agent…

Disordered Systems and Neural Networks · Physics 2009-11-07 G. J. Rodgers , Dafang Zheng

Neural networks have become increasingly popular in the last few years as an effective tool for the task of image classification due to the impressive performance they have achieved on this task. In image classification tasks, it is common…

Machine Learning · Computer Science 2025-05-20 Lucas M. Dorneles , Luan Fonseca Garcia , Joel Luís Carbonera

Population size estimation based on two sample capture-recapture type experiment is an interesting problem in various fields including epidemiology, pubic health, population studies, etc. The Lincoln-Petersen estimate is popularly used…

Methodology · Statistics 2019-01-21 Kiranmoy Chatterjee , Prajamitra Bhuyan