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A time- and space-discrete model for the growth of a rapidly saturating local biological population $N(x,t)$ is derived from a hierarchical random deposition process previously studied in statistical physics. Two biologically relevant…

Biological Physics · Physics 2009-11-07 J. O. Indekeu , K. Sznajd-Weron

Mixed sample data augmentation strategies are actively used when training deep neural networks (DNNs). Recent studies suggest that they are effective at various tasks. However, the impact of mixed sample data augmentation on model…

Machine Learning · Computer Science 2025-06-18 Soyoun Won , Sung-Ho Bae , Seong Tae Kim

Evolutionary forces shape patterns of genetic diversity within populations and contribute to phenotypic variation. In particular, recurrent positive selection has attracted significant interest in both theoretical and empirical studies.…

Populations and Evolution · Quantitative Biology 2014-05-09 Lawrence H. Uricchio , Ryan D. Hernandez

Let $\pi$ denote the intractable posterior density that results when the likelihood from a multivariate linear regression model with errors from a scale mixture of normals is combined with the standard non-informative prior. There is a…

Statistics Theory · Mathematics 2015-12-08 Qian Qin , James P. Hobert

Hierarchical Bayesian methods enable information sharing across multiple related regression problems. While standard practice is to model regression parameters (effects) as (1) exchangeable across datasets and (2) correlated to differing…

Methodology · Statistics 2021-07-15 Brian L. Trippe , Hilary K. Finucane , Tamara Broderick

Data augmentation is a commonly applied technique with two seemingly related advantages. With this method one can increase the size of the training set generating new samples and also increase the invariance of the network against the…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Jalal Al-afandi , Bálint Magyar , András Horváth

Our interest is in multiplex network data with multiple network samples observed across the same set of nodes. Examples originate from a variety of fields, including brain connectivity, international trade networks, and social networks,…

Methodology · Statistics 2026-04-21 Yuren Zhou , Yuqi Gu , David B. Dunson

Bayesian hierarchical modeling is a natural framework to effectively integrate data and borrow information across groups. In this paper, we address problems related to density estimation and identifying clusters across related groups, by…

Methodology · Statistics 2025-10-29 Huizi Zhang , Sara Wade , Natalia Bochkina

Gaussian Mixture models (GMMs) are a powerful tool for clustering, classification and density estimation when clustering structures are embedded in the data. The presence of missing values can largely impact the GMMs estimation process,…

Machine Learning · Statistics 2020-06-05 Alessio Serafini , Thomas Brendan Murphy , Luca Scrucca

Modern ML systems increasingly augment input instances with additional relevant information to enhance final prediction. Despite growing interest in such retrieval-augmented models, their fundamental properties and training are not well…

Machine Learning · Computer Science 2024-08-29 Soumya Basu , Ankit Singh Rawat , Manzil Zaheer

Data augmentation, the artificial creation of training data for machine learning by transformations, is a widely studied research field across machine learning disciplines. While it is useful for increasing a model's generalization…

Computation and Language · Computer Science 2022-09-09 Markus Bayer , Marc-André Kaufhold , Christian Reuter

Pedestrian attribute recognition is an important multi-label classification problem. Although the convolutional neural networks are prominent in learning discriminative features from images, the data imbalance in multi-label setting for…

Computer Vision and Pattern Recognition · Computer Science 2020-05-22 Yang Hu , Xiaying Bai , Pan Zhou , Fanhua Shang , Shengmei Shen

We consider posterior sampling in the very common Bayesian hierarchical model in which observed data depends on high-dimensional latent variables that, in turn, depend on relatively few hyperparameters. When the full conditional over the…

Computation · Statistics 2016-10-24 Richard A. Norton , J. Andres Christen , Colin Fox

This work focuses on clustering populations with a hierarchical dependency structure that can be described by a tree. A particular example that is the focus of our work is the phylogenetic tree, with nodes often representing biological…

Methodology · Statistics 2023-02-28 Hanxi Sun , Heejung Shim , Vinayak Rao

The abundance of a species' population in an ecosystem is rarely stationary, often exhibiting large fluctuations over time. Using historical data on marine species, we show that the year-to-year fluctuations of population growth rate obey a…

Adaptation and Self-Organizing Systems · Physics 2015-06-02 Jie Sun , Sean P. Cornelius , John Janssen , Kimberly A. Gray , Adilson E. Motter

Capture-recapture experiments are widely used to estimate the abundance of a finite population. Based on capture-recapture data, the empirical likelihood (EL) method has been shown to outperform the conventional conditional likelihood (CL)…

Methodology · Statistics 2025-07-15 Yang Liu , Pengfei Li , Yukun Liu

Motivated by various applications, we consider the problem of homogeneous human population size (N) estimation from Dual-record system (DRS) (equivalently, two-sample capture-recapture experiment). The likelihood estimate from the…

Methodology · Statistics 2015-04-07 Kiranmoy Chatterjee , Diganta Mukherjee

We explore how physical scale and population size shape the emergence of complex behaviors in open-ended ecological environments. In our setting, agents are unsupervised and have no explicit rewards or learning objectives but instead evolve…

Addressing the challenge of low-resource information extraction remains an ongoing issue due to the inherent information scarcity within limited training examples. Existing data augmentation methods, considered potential solutions, struggle…

Computation and Language · Computer Science 2024-05-15 Sijia Wang , Lifu Huang

We present studies for an individual based model of three interacting populations whose individuals are mobile in a 2D-lattice. We focus on the pattern formation in the spatial distributions of the populations. Also relevant is the…

Populations and Evolution · Quantitative Biology 2007-12-18 I. C. Charret , M. V. Carneiro
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