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We consider the in-plane motion of elastic strings on tree-like network, observed from the 'leaves'. We investigate the inverse problem of recovering not only the physical properties i.e. the 'optical lengths' of each string, but also the…

Analysis of PDEs · Mathematics 2025-05-29 S. A. Avdonin , G. Leugering , V. S. Mikhaylov

Much of the information about the multi-valley structure of disordered spin systems can be convened in a simple tree structure -- a barrier tree -- the leaves and internal nodes of which represent, respectively, the local minima and the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Wim Hordijk , Jose F. Fontanari , Peter F. Stadler

Many data are naturally modeled by an unobserved hierarchical structure. In this paper we propose a flexible nonparametric prior over unknown data hierarchies. The approach uses nested stick-breaking processes to allow for trees of…

Methodology · Statistics 2010-06-08 Ryan Prescott Adams , Zoubin Ghahramani , Michael I. Jordan

Geometric trees are characterized by their tree-structured layout and spatially constrained nodes and edges, which significantly impacts their topological attributes. This inherent hierarchical structure plays a crucial role in domains such…

Machine Learning · Computer Science 2024-08-19 Zheng Zhang , Allen Zhang , Ruth Nelson , Giorgio Ascoli , Liang Zhao

Dynamic regression trees are an attractive option for automatic regression and classification with complicated response surfaces in on-line application settings. We create a sequential tree model whose state changes in time with the…

Methodology · Statistics 2010-11-23 Matthew A. Taddy , Robert B. Gramacy , Nicholas G. Polson

A major ambition of systems science is to uncover the building blocks of any biological network to decipher how cellular function emerges from their interactions. Here, we introduce a graph representation of the information flow in these…

Molecular Networks · Quantitative Biology 2020-06-15 Flaviano Morone , Ian Leifer , Hernan A. Makse

Earth's forests play an important role in the fight against climate change, and are in turn negatively affected by it. Effective monitoring of different tree species is essential to understanding and improving the health and biodiversity of…

Computer Vision and Pattern Recognition · Computer Science 2025-07-30 Venkatesh Ramesh , Arthur Ouaknine , David Rolnick

Branched structures that evolve over time critically determine the function of various natural and engineered systems, including growing vasculature, neural arborization, pulmonary networks such as lungs, river basins, power distribution…

Statistical Mechanics · Physics 2026-03-04 Fabian H. Kreten , Ludger Santen , Reza Shaebani

In many modern applications, including analysis of gene expression and text documents, the data are noisy, high-dimensional, and unordered--with no particular meaning to the given order of the variables. Yet, successful learning is often…

Methodology · Statistics 2008-07-25 Ann B. Lee , Boaz Nadler , Larry Wasserman

Based on solid theoretical foundations, we present strong evidences that a number of real-life networks, taken from different domains like Internet measurements, biological data, web graphs, social and collaboration networks, exhibit…

Social and Information Networks · Computer Science 2014-02-24 Muad Abu-Ata , Feodor F. Dragan

We propose a novel tree-like curvilinear structure reconstruction algorithm based on supervised learning and graph theory. In this work we analyze image patches to obtain the local major orientations and the rankings that correspond to the…

Computer Vision and Pattern Recognition · Computer Science 2016-12-09 Seong-Gyun Jeong , Yuliya Tarabalka , Nicolas Nisse , Josiane Zerubia

This article presents a new way to understand the descriptive ability of tree shape statistics. Where before tree shape statistics were chosen by their ability to distinguish between macroevolutionary models, the ``resolution'' presented in…

Populations and Evolution · Quantitative Biology 2007-05-23 Frederick A. Matsen

Wood is a volumetric material with a very large appearance gamut that is further enlarged by numerous finishing techniques. Computer graphics has made considerable progress in creating sophisticated and flexible appearance models that allow…

Graphics · Computer Science 2025-10-03 Thomas K. Nindel , Mohcen Hafidi , Tomáš Iser , Alexander Wilkie

Extremal graphical models are sparse statistical models for multivariate extreme events. The underlying graph encodes conditional independencies and enables a visual interpretation of the complex extremal dependence structure. For the…

Methodology · Statistics 2022-08-18 Sebastian Engelke , Stanislav Volgushev

Both scientists and children make important structural discoveries, yet their computational underpinnings are not well understood. Structure discovery has previously been formalized as probabilistic inference about the right structural form…

Machine Learning · Computer Science 2017-11-23 Brenden M. Lake , Neil D. Lawrence , Joshua B. Tenenbaum

We consider the problem of change-point detection in multivariate time-series. The multivariate distribution of the observations is supposed to follow a graphical model, whose graph and parameters are affected by abrupt changes throughout…

Machine Learning · Statistics 2016-06-20 Loïc Schwaller , Stéphane Robin

In some entertainment and virtual reality applications, it is necessary to model and draw the real world realistically, so as to improve the fidelity of natural scenes and make users have a better sense of immersion. However, due to the…

Graphics · Computer Science 2022-04-08 Yinhui Yang , Rui Wang , Yuchi Huo

This paper presents an approach to parsing humans when there is significant occlusion. We model humans using a graphical model which has a tree structure building on recent work [32, 6] and exploit the connectivity prior that, even in…

Computer Vision and Pattern Recognition · Computer Science 2015-11-25 Xianjie Chen , Alan Yuille

A longstanding goal in computer vision is to model motions from videos, while the representations behind motions, i.e. the invisible physical interactions that cause objects to deform and move, remain largely unexplored. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Zhiyuan Gao , Jiageng Mao , Hong-Xing Yu , Haozhe Lou , Emily Yue-Ting Jia , Jernej Barbic , Jiajun Wu , Yue Wang

This work considers the problem of learning the structure of multivariate linear tree models, which include a variety of directed tree graphical models with continuous, discrete, and mixed latent variables such as linear-Gaussian models,…

Machine Learning · Computer Science 2011-11-09 Animashree Anandkumar , Kamalika Chaudhuri , Daniel Hsu , Sham M. Kakade , Le Song , Tong Zhang