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Growing a flat lamina such as a leaf is almost impossible without some feedback to stabilize long wavelength modes that are easy to trigger since they are energetically cheap. Here we combine the physics of thin elastic plates with feedback…

Soft Condensed Matter · Physics 2022-03-30 Salem al-Mosleh , L. Mahadevan

A frequent challenge encountered with ecological data is how to interpret, analyze, or model data having a high proportion of zeros. Much attention has been given to zero-inflated count data, whereas models for non-negative continuous data…

Methodology · Statistics 2022-05-23 Becky Tang , Henry A Frye , Alan E. Gelfand , John A Silander

Functional data describe a wide range of processes, such as growth curves and spectral absorption. In this study, we analyze air pollution data from the In-service Aircraft for a Global Observing System, focusing on the spatial interactions…

Methodology · Statistics 2024-11-14 Rita Fici , Gianluca Sottile , Luigi Augugliaro , Ernst-Jan Camiel Wit

Spatial models for areal data are often constructed such that all pairs of adjacent regions are assumed to have near-identical spatial autocorrelation. In practice, data can exhibit dependence structures more complicated than can be…

Methodology · Statistics 2024-07-04 Michael F. Christensen , Peter D. Hoff

This work provides an in-depth mathematical description of the response functions that are used for spatial and spectral analysis of X-ray data. The use of such functions is well-known to anyone familiar with the analysis of X-ray data…

Astrophysics · Physics 2009-10-31 John E. Davis

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

The twin crises of climate change and biodiversity loss define a strong need for functional diversity monitoring. While the availability of high-quality ecological monitoring data is increasing, the quantification of functional diversity so…

Populations and Evolution · Quantitative Biology 2023-01-11 Alexey Ryabov , Bernd Blasius , Helmut Hillebrand , Irina Olenina , Thilo Gross

Plant phenotyping refers to a quantitative description of the plants properties, however in image-based phenotyping analysis, our focus is primarily on the plants anatomical, ontogenetical and physiological properties.This technique…

Computer Vision and Pattern Recognition · Computer Science 2022-10-25 Petros N. Tamvakis , Chairi Kiourt , Alexandra D. Solomou , George Ioannakis , Nestoras C. Tsirliganis

The classical functional linear regression model (FLM) and its extensions, which are based on the assumption that all individuals are mutually independent, have been well studied and are used by many researchers. This independence…

Computation · Statistics 2018-11-02 Tingting Huang , Gilbert Saporta , Huiwen Wang , Shanshan Wang

Accurate predictions and representations of plant growth patterns in simulated and controlled environments are important for addressing various challenges in plant phenomics research. This review explores various works on state-of-the-art…

Quantitative Methods · Quantitative Biology 2025-07-17 Mohamed Debbagh , Shangpeng Sun , Mark Lefsrud

This paper develops a novel spatial quantile function-on-scalar regression model, which studies the conditional spatial distribution of a high-dimensional functional response given scalar predictors. With the strength of both quantile…

Methodology · Statistics 2020-12-22 Zhengwu Zhang , Xiao Wang , Linglong Kong , Hongtu Zhu

Many new types of sensing or imaging surfaces are based on periodic thin films. It is explained how the response of those surfaces to partially coherent fields can be fully characterized by a set of functions in the wavenumber spectrum…

A linear scattering problem for which incoming and outgoing waves are restricted to a finite number of radiation channels can be precisely described by a frequency-dependent scattering matrix. The entries of the scattering matrix, as…

Optics · Physics 2022-06-29 Hongyao Wu , Lijun Yuan , Ya Yan Lu

Networks having the geometry and the connectivity of trees are considered as the spatial support of spatiotemporal dynamical processes. A tree is characterized by two parameters: its ramification and its depth. The local dynamics at the…

Pattern Formation and Solitons · Physics 2009-11-07 M. G. Cosenza , K. Tucci

A model for the generation of fractal growth networks in Euclidean spaces of arbitrary dimension is presented. These networks are considered as the spatial support of reaction-diffusion and pattern formation processes. The local dynamics at…

Pattern Formation and Solitons · Physics 2009-11-10 K. Tucci , M. G. Cosenza

Spatial autoregressive combined (SAC) model has been widely studied in the literature for the analysis of spatial data in various areas such as geography, economics, demography, regional sciences. This is a linear model with scalar…

Methodology · Statistics 2020-04-17 Alassane Aw , Emmanuel Nicolas Cabral

The study of wave propagation and scattering in time-dependent materials is a rapidly growing field of research. Whereas for 1D applications there is a simple relation between the wave equations for space-dependent and time-dependent…

Applied Physics · Physics 2025-02-07 Kees Wapenaar

We use modular invariance and crossing symmetry of conformal field theory to reveal approximate reflection symmetries in the spectral decompositions of the partition function in two dimensions in the limit of large central charge and of the…

High Energy Physics - Theory · Physics 2016-05-25 Hyungrok Kim , Petr Kravchuk , Hirosi Ooguri

Self-organized spatial patterns of vegetation are frequent in drylands and, because pattern shape correlates with water availability, they have been suggested as important indicators of ecosystem health. However, the mechanisms underlying…

We consider a spatial functional linear regression, where a scalar response is related to a square integrable spatial functional process. We use a smoothing spline estimator for the functional slope parameter and establish a finite sample…

Statistics Theory · Mathematics 2019-08-07 Stéphane Bouka , Sophie Dabo-Niang , Guy Martial Nkiet