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In this paper, multiple instance learning (MIL) algorithms to automatically perform root detection and segmentation in minirhizotron imagery using only image-level labels are proposed. Root and soil characteristics vary from location to…

Computer Vision and Pattern Recognition · Computer Science 2020-05-26 Guohao Yu , Alina Zare , Hudanyun Sheng , Roser Matamala , Joel Reyes-Cabrera , Felix B. Fritschi , Thomas E. Juenger

The statistical properties of coherent radiation scattered from phase-ordering materials are studied in detail using large-scale computer simulations and analytic arguments. Specifically, we consider a two-dimensional model with a…

Statistical Mechanics · Physics 2009-10-30 Gregory Brown , Per Arne Rikvold , Mark Sutton , Martin Grant

Habitat loss is one of the biggest threats facing plant species nowadays. We formulate a simple mathematical model of seed dispersal on reduced habitats to discuss survival of the species in relation to the habitat size and seeds production…

Probability · Mathematics 2023-05-24 Cristian F. Coletti , Nevena Marić , Pablo M. Rodriguez

A simplified model of clonal plant growth is formulated, motivated by observations of spatial structures in Posidonia oceanica meadows in the Mediterranean Sea. Two levels of approximation are considered for the scale-dependent feedback…

Pattern Formation and Solitons · Physics 2020-09-18 Daniel Ruiz-Reynes , Luis Martin , Emilio Hernandez-Garcia , Edgar Knobloch , Damia Gomila

This note examines linear combinations of multi-indexed sequences and derives the multivariate generating function of such a linear combination in terms of the original sequence's m.g.f. Applications include finding distributions and…

Combinatorics · Mathematics 2012-09-18 Michael C. Burkhart

The adoption of agroecological practices will be crucial to address the challenges of climate change and biodiversity loss. Such practices favor the cultivation of plants in complex mixtures with layouts differing from the monoculture…

Populations and Evolution · Quantitative Biology 2024-09-26 Julian Talbot , Pascal Viot , David Colliaux

The multilayer multiconfiguration time-dependent Hartree method is employed to study vibrationally coupled charge transport in models of single molecule junctions. To increase the efficiency of the simulation method, a representation of the…

Mesoscale and Nanoscale Physics · Physics 2013-02-12 Haobin Wang , Michael Thoss

The second-order, small-scale dependence structure of a stochastic process defined in the space-time domain is key to prediction (or kriging). While great efforts have been dedicated to developing models for cases in which the spatial…

Methodology · Statistics 2020-10-01 Jun Tang , Dale Zimmerman

Vegetation patterns, a natural phenomenon observed worldwide, are typically driven by spatially distributed feedback. However, the spatial colonization mechanisms of clonal plants, driven by the growth of a rhizome, are usually not…

Populations and Evolution · Quantitative Biology 2020-07-01 Daniel Ruiz-Reynés , Francesca Schönsberg , Emilio Hernández-García , Damià Gomila

Speckle patterns produced by disordered scattering systems exhibit a sensitivity to addition of individual particles which can be used for sensing applications. Using a coupled dipole model we investigate how multiple scattering can enhance…

Optics · Physics 2021-08-03 Joel Berk , Matthew R. Foreman

We study a data-dependent notion of diffusion-model generalization: when a model does not memorize the training set, where do its generated samples go relative to the geometry induced by the data? To answer this, we introduce a…

Machine Learning · Statistics 2026-05-14 Ye He , Yitong Qiu , Molei Tao

We propose a flexible regression framework to model the conditional distribution of multilevel generalized multivariate functional data of potentially mixed type, e.g. binary and continuous data. We make pointwise parametric distributional…

Methodology · Statistics 2024-07-31 Alexander Volkmann , Nikolaus Umlauf , Sonja Greven

We propose a new modeling framework for highly-multivariate spatial processes that synthesizes ideas from recent multiscale and spectral approaches with graphical models. The basis graphical lasso writes a univariate Gaussian process as a…

Methodology · Statistics 2024-07-08 Mitchell Krock , William Kleiber , Dorit Hammerling , Stephen Becker

Multilayer networks have become increasingly ubiquitous across diverse scientific fields, ranging from social sciences and biology to economics and international relations. Despite their broad applications, the inferential theory for…

Methodology · Statistics 2026-02-24 Zhaozhe Liu , Gongjun Xu , Haoran Zhang

How morphogenesis depends on cell properties is an active direction of research. Here, we focus on mechanical models of growing plant tissues, where microscopic (sub)cellular structure is taken into account. In order to establish links…

Analysis of PDEs · Mathematics 2023-11-21 Arezki Boudaoud , Annamaria Kiss , Mariya Ptashnyk

The conditional autoregressive model is a routinely used statistical model for areal data that arise from, for instances, epidemiological, socio-economic or ecological studies. Various multivariate conditional autoregressive models have…

Methodology · Statistics 2019-07-23 Ye Liang

Advances in data collection are producing growing volumes of temporal count observations, making adapted modeling increasingly necessary. In this work, we introduce a generative framework for independent component analysis of temporal count…

Methodology · Statistics 2026-01-30 Alexandre Chaussard , Anna Bonnet , Sylvain Le Corff

In this study, we develop a saturation-dependent treatment of dispersion in porous media using concepts from critical path analysis, cluster statistics of percolation, and fractal scaling of percolation clusters. We calculate spatial solute…

Fluid Dynamics · Physics 2015-06-11 B. Ghanbarian-Alavijeh , Thomas E. Skinner , Allen G. Hunt

We theoretically study the propagation of light in one-dimensional space- and time-dependent disorder. The disorder is described by a fluctuating permittivity $\epsilon(x,t)$ exhibiting short-range correlations in space and time, without…

Optics · Physics 2026-02-24 Alexandre Selvestrel , Julia Rocha , Rémi Carminati , Romain Pierrat

Weeds are one of the major reasons for crop yield loss but current weeding practices fail to manage weeds in an efficient and targeted manner. Effective weed management is especially important for crops with high worldwide production such…

Computer Vision and Pattern Recognition · Computer Science 2025-02-19 Ekin Celikkan , Timo Kunzmann , Yertay Yeskaliyev , Sibylle Itzerott , Nadja Klein , Martin Herold