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In the critical beta-splitting model of a random $n$-leaf rooted tree, clades are recursively (from the root) split into sub-clades, and a clade of $m$ leaves is split into sub-clades containing $i$ and $m-i$ leaves with probabilities…

Probability · Mathematics 2025-04-21 David J. Aldous , Svante Janson

Segmentation-based autonomous navigation has recently been proposed as a promising methodology to guide robotic platforms through crop rows without requiring precise GPS localization. However, existing methods are limited to scenarios where…

Robotics · Computer Science 2024-02-27 Alessandro Navone , Mauro Martini , Andrea Ostuni , Simone Angarano , Marcello Chiaberge

The quantitative analysis of cellular membranes helps understanding developmental processes at the cellular level. Particularly 3D microscopic image data offers valuable insights into cell dynamics, but error-free automatic segmentation…

Computer Vision and Pattern Recognition · Computer Science 2018-10-17 Dennis Eschweiler , Thiago V. Spina , Rohan C. Choudhury , Elliot Meyerowitz , Alexandre Cunha , Johannes Stegmaier

Developmental transcriptional networks in plants and animals operate in both space and time. To understand these transcriptional networks it is essential to obtain whole-genome expression data at high spatiotemporal resolution. Substantial…

Genomics · Quantitative Biology 2009-03-25 Dustin A. Cartwright , Siobhan M. Brady , David A. Orlando , Bernd Sturmfels , Philip N. Benfey

The aim of this paper is to propose a novel framework to infer the sheaf Laplacian, including the topology of a graph and the restriction maps, from a set of data observed over the nodes of a graph. The proposed method is based on sheaf…

Signal Processing · Electrical Eng. & Systems 2025-02-03 Leonardo Di Nino , Sergio Barbarossa , Paolo Di Lorenzo

The algebraic properties of flattenings and subflattenings provide direct methods for identifying edges in the true phylogeny -- and by extension the complete tree -- using pattern counts from a sequence alignment. The relatively small…

Populations and Evolution · Quantitative Biology 2022-05-06 Joshua Stevenson , Barbara Holland , Michael Charleston , Jeremy Sumner

This is a summary of mathematical tools we used in research of analyzing the structure of proteins with amyloid form \cite{xi2024Top}. We defined several geometry indicators on the discrete curve namely the hop distance, the discrete…

Algebraic Topology · Mathematics 2025-02-11 Xiaoxi Lin , Yunpeng Zi , Fengling Li , Jingyan Li

We introduce a flexible framework for modeling dependent feature allocations. Our approach addresses limitations in traditional nonparametric methods by directly modeling the logit-probability surface of the feature paintbox, enabling the…

Methodology · Statistics 2025-12-22 Bernardo Flores , Yang Ni , Yanxun Xu , Peter Müller

Applying agrochemicals is the default procedure for conventional weed control in crop production, but has negative impacts on the environment. Robots have the potential to treat every plant in the field individually and thus can reduce the…

Computer Vision and Pattern Recognition · Computer Science 2018-06-12 Philipp Lottes , Jens Behley , Nived Chebrolu , Andres Milioto , Cyrill Stachniss

Cardiac magnetic resonance imaging (MRI) is a pivotal tool for assessing cardiac function. Precise segmentation of cardiac structures is imperative for accurate cardiac functional evaluation. This paper introduces a semi-supervised model…

Image and Video Processing · Electrical Eng. & Systems 2024-05-24 Hejun Huang , Zuguo Chen , Yi Huang , Guangqiang Luo , Chaoyang Chen , Youzhi Song

Plants can sense both intracellular and extracellular mechanical forces and can respond through morphological changes. The signaling components responsible for mechanotransduction of the touch response are largely unknown. Here, we…

Knowledge of airway tree morphology has important clinical applications in diagnosis of chronic obstructive pulmonary disease. We present an automatic tree extraction method based on multiple hypothesis tracking and template matching for…

Computer Vision and Pattern Recognition · Computer Science 2016-11-28 Raghavendra Selvan , Jens Petersen , Jesper H. Pedersen , Marleen de Bruijne

Machine vision for plant phenotyping is an emerging research area for producing high throughput in agriculture and crop science applications. Since 2D based approaches have their inherent limitations, 3D plant analysis is becoming state of…

Computer Vision and Pattern Recognition · Computer Science 2017-05-02 Ayan Chaudhury , Christopher Ward , Ali Talasaz , Alexander G. Ivanov , Mark Brophy , Bernard Grodzinski , Norman P. A. Huner , Rajni V. Patel , John L. Barron

The positioning of new cellular walls during cell division plays a key role in shaping plant tissue organization. The influence of cell geometry on the positioning of division planes has been previously captured into various geometrical…

Machine Learning · Computer Science 2025-07-31 Alexandre Durrmeyer , Jean-Christophe Palauqui , Philippe Andrey

This paper introduces a modular processing chain to derive global high-resolution maps of leaf traits. In particular, we present global maps at 500 m resolution of specific leaf area, leaf dry matter content, leaf nitrogen and phosphorus…

Random Forest (RF) is a well-known data-driven algorithm applied in several fields thanks to its flexibility in modeling the relationship between the response variable and the predictors, also in case of strong non-linearities. In…

Machine Learning · Statistics 2023-10-18 Luca Patelli , Michela Cameletti , Natalia Golini , Rosaria Ignaccolo

The usual methods for root finding of polynomials are based on the iteration of a numerical formula for improvement of successive estimations. The unpredictable nature of the iterations prevents to search roots inside a pre-specified region…

Numerical Analysis · Mathematics 2013-08-21 Juan Luis García Zapata , Juan Carlos Díaz Martín

Segmentation in dynamic outdoor environments can be difficult when the illumination levels and other aspects of the scene cannot be controlled. Specifically in orchard and vineyard automation contexts, a background material is often used to…

Computer Vision and Pattern Recognition · Computer Science 2018-04-04 Amy Tabb , Henry Medeiros

Gene mining is an important topic in the field of life sciences, but traditional machine learning methods cannot consider the regulatory relationships between genes. Deep learning methods perform poorly in small sample sizes. This study…

Quantitative Methods · Quantitative Biology 2023-08-08 Kerui Huang , Jianhong Tian , Lei Sun , Li Zeng , Peng Xie , Aihua Deng , Ping Mo , Zhibo Zhou , Ming Jiang , Yun Wang , Xiaocheng Jiang

Graph-based transforms have been shown to be powerful tools in terms of image energy compaction. However, when the support increases to best capture signal dependencies, the computation of the basis functions becomes rapidly untractable.…

Computer Vision and Pattern Recognition · Computer Science 2020-02-19 Mira Rizkallah , Thomas Maugey , Christine Guillemot