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Spatial prediction is commonly achieved under the assumption of a Gaussian random field (GRF) by obtaining maximum likelihood estimates of parameters, and then using the kriging equations to arrive at predicted values. For massive datasets,…

Methodology · Statistics 2021-07-20 Karl T. Pazdernik , Ranjan Maitra

We explore the joint effect of the intrinsic noise and time delay on the spatial pattern formation within a multi-scale mobile lattice model of the epithelium. The protein fluctuations are driven by transcription/translation processes in…

Adaptation and Self-Organizing Systems · Physics 2015-06-12 Dmitry Bratsun , Andrey Zakharov

The preservation of soil health is a critical challenge in the 21st century due to its significant impact on agriculture, human health, and biodiversity. We provide the first deep investigation of the predictive potential of machine…

Machine Learning · Statistics 2024-02-20 Rosa Aghdam , Xudong Tang , Shan Shan , Richard Lankau , Claudia Solís-Lemus

The additive genetic effect is arguably the most important quantity inferred in animal and plant breeding analyses. The term effect indicates that it represents causal information, which is different from standard statistical concepts as…

Quantitative Methods · Quantitative Biology 2015-04-27 Bruno Dourado Valente , Gota Morota , Guilherme Jordao Magalhaes Rosa , Daniel Gianola , Kent Weigel

Selective sweeps affect neutral genetic diversity through hitchhiking. While this effect is limited to the local genomic region of the sweep in panmictic populations, we find that in spatially-extended populations the combined effects of…

Populations and Evolution · Quantitative Biology 2016-11-08 Daniel B. Weissman

Self-supervised representation learning is heavily dependent on data augmentations to specify the invariances encoded in representations. Previous work has shown that applying diverse data augmentations is crucial to downstream performance,…

Computer Vision and Pattern Recognition · Computer Science 2023-11-08 Philip Andrew Mansfield , Arash Afkanpour , Warren Richard Morningstar , Karan Singhal

The exploration of vast genotype spaces poses fundamental challenges for evolving populations. As the number of genotypes encoding viable phenotypes grows exponentially with genome length, populations can only explore a tiny fraction of…

Populations and Evolution · Quantitative Biology 2026-01-21 Susanna Manrubia , Luis F. Seoane , José A. Cuesta

A generator of spatio-temporal pseudo-random Gaussian fields that satisfy the "proportionality of scales" property (Tsyroulnikov, 2001) is presented. The generator is based on a third-order in time stochastic differential equation with a…

Data Analysis, Statistics and Probability · Physics 2018-05-15 Michael Tsyrulnikov , Dmitry Gayfulin

Inference for spatial generalized linear mixed models (SGLMMs) for high-dimensional non-Gaussian spatial data is computationally intensive. The computational challenge is due to the high-dimensional random effects and because Markov chain…

Computation · Statistics 2018-10-09 Yawen Guan , Murali Haran

Leveraging multivariate spatial dependence to improve the precision of estimates using American Community Survey data and other sample survey data has been a topic of recent interest among data-users and federal statistical agencies. One…

Applications · Statistics 2024-01-19 Ryan Janicki , Andrew M. Raim , Scott H. Holan , Jerry Maples

We present a method to compare spatial interaction models against data based on well known statistical measures that are appropriate for such models and data. We illustrate our approach using a widely used example: commuting data,…

Physics and Society · Physics 2020-11-09 B. Hilton , A. P. Sood , T. S. Evans

Prior specifications for hyperparameters of random fields in Bayesian spatial point process modelling can have a major impact on the statistical inference and the conclusions made. We consider fitting of log-Gaussian Cox processes to…

Methodology · Statistics 2017-09-21 Sigrunn H. Sørbye , Janine B. Illian , Daniel P. Simpson , David Burslem

Although spatial prediction is widely used for urban and environmental monitoring, its accuracy is often unsatisfactory if only a small number of samples are available in the study area. The objective of this study was to improve the…

Applications · Statistics 2022-11-22 Daisuke Murakami , Mami Kajita , Seiji Kajita

Plant phenotyping (Guo et al. 2021; Pieruschka et al. 2019) focuses on studying the diverse traits of plants related to the plants' growth. To be more specific, by accurately measuring the plant's anatomical, ontogenetical, physiological…

Machine Learning · Computer Science 2022-01-17 Jun Wu , Elizabeth A. Ainsworth , Sheng Wang , Kaiyu Guan , Jingrui He

Neighborhood selection is a widely used method used for estimating the support set of sparse precision matrices, which helps determine the conditional dependence structure in undirected graphical models. However, reporting only point…

Methodology · Statistics 2023-12-29 Yiling Huang , Snigdha Panigrahi , Walter Dempsey

Optimizing wheat variety selection for high performance in different environmental conditions is critical for reliable food production and stable incomes for growers. We employ a statistical machine learning framework utilizing Gaussian…

In the last two decades, considerable research has been devoted to a phenomenon known as spatial confounding. Spatial confounding is thought to occur when there is multicollinearity between a covariate and the random effect in a spatial…

Methodology · Statistics 2024-06-25 Kori Khan , Candace Berrett

Prediction is a classic challenge in spatial statistics and the inclusion of spatial covariates can greatly improve predictive performance when incorporated into a model with latent spatial effects. It is desirable to develop flexible…

Methodology · Statistics 2025-02-24 Alex Ziyu Jiang , Jon Wakefield

Genetically identical cells in the same population can take on phenotypically variable states, leading to differentiated responses to external signals, such as nutrients and drug-induced stress. Many models and experiments have focused on a…

Molecular Networks · Quantitative Biology 2015-04-28 Thierry Mora , Aleksandra M. Walczak

As the success of Generative Adversarial Networks (GANs) on natural images quickly propels them into various real-life applications across different domains, it becomes more and more important to clearly understand their limitations.…

Machine Learning · Computer Science 2020-12-21 Mahyar Khayatkhoei , Ahmed Elgammal
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