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Graph-based methods provide a powerful tool set for many non-parametric frameworks in Machine Learning. In general, the memory and computational complexity of these methods is quadratic in the number of examples in the data which makes them…

Machine Learning · Computer Science 2013-09-27 Saeed Amizadeh , Bo Thiesson , Milos Hauskrecht

While the algorithmic drawing of static trees is well-understood and well-supported by software tools, creating animations depicting how a tree changes over time is currently difficult: software support, if available at all, is not…

Computational Geometry · Computer Science 2016-08-31 Malte Skambath , Till Tantau

Decision trees built with data remain in widespread use for nonparametric prediction. Predicting probability distributions is preferred over point predictions when uncertainty plays a prominent role in analysis and decision-making. We study…

Methodology · Statistics 2024-06-21 Sara Shashaani , Ozge Surer , Matthew Plumlee , Seth Guikema

Behavior Trees are a task switching policy representation that can grant reactiveness and fault tolerance. Moreover, because of their structure and modularity, a variety of methods can be used to generate them automatically. In this short…

Robotics · Computer Science 2023-01-18 Matteo Iovino , Christian Smith

Convolution trees, loopy belief propagation, and fast numerical p-convolution are combined for the first time to efficiently solve networks with several additive constraints between random variables. An implementation of this "convolution…

Computation · Statistics 2017-08-23 Oliver Serang

A novel approach for non-intrusive uncertainty propagation is proposed. Our approach overcomes the limitation of many traditional methods, such as generalised polynomial chaos methods, which may lack sufficient accuracy when the quantity of…

Numerical Analysis · Mathematics 2018-03-20 Yous van Halder , Benjamin Sanderse , Barry Koren

Following Poupard's study of strictly ordered binary trees with respect to two parameters, namely, "end of minimal chain" and "parent of maximum leaf" a true Tree Calculus is being developed to solve a partial difference equation system and…

Combinatorics · Mathematics 2013-04-10 Dominique Foata , Guo-Niu Han

We introduce random survival forests, a random forests method for the analysis of right-censored survival data. New survival splitting rules for growing survival trees are introduced, as is a new missing data algorithm for imputing missing…

Applications · Statistics 2008-11-12 Hemant Ishwaran , Udaya B. Kogalur , Eugene H. Blackstone , Michael S. Lauer

Embedding is a useful technique to project a high-dimensional feature into a low-dimensional space, and it has many successful applications including link prediction, node classification and natural language processing. Current approaches…

Information Retrieval · Computer Science 2020-09-21 Meimei Liu , Hongxia Yang

This work addresses the intrinsic relationship between trees and networks (i.e. graphs). A complete (invertible) mapping is presented which allows trees to be mapped into weighted graphs and then backmapped into the original tree without…

Physics and Society · Physics 2008-08-07 Luciano da Fontoura Costa , Francisco Aparecido Rodrigues

In this work, we propose trait-based merge trees a generalization of merge trees to feature level sets, targeting the analysis of tensor field or general multi-variate data. For this, we employ the notion of traits defined in attribute…

Machine Learning · Computer Science 2023-08-21 Jochen Jankowai , Talha Bin Masood , Ingrid Hotz

Copulas are a powerful tool for modeling multivariate distributions as they allow to separately estimate the univariate marginal distributions and the joint dependency structure. However, known parametric copulas offer limited flexibility…

Machine Learning · Statistics 2021-11-11 Tim Janke , Mohamed Ghanmi , Florian Steinke

Previous algorithms for constructing regression tree models for longitudinal and multiresponse data have mostly followed the CART approach. Consequently, they inherit the same selection biases and computational difficulties as CART. We…

Machine Learning · Statistics 2013-05-28 Wei-Yin Loh , Wei Zheng

While circular data occur in a wide range of scientific fields, the methodology for distributional modeling and probabilistic forecasting of circular response variables is rather limited. Most of the existing methods are built on the…

LRM-Trees are an elegant way to partition a sequence of values into sorted consecutive blocks, and to express the relative position of the first element of each block within a previous block. They were used to encode ordinal trees and to…

Data Structures and Algorithms · Computer Science 2010-09-30 Jérémy Barbay , Johannes Fischer

We study probability distributions over free algebras of trees. Probability distributions can be seen as particular (formal power) tree series [Berstel et al 82, Esik et al 03], i.e. mappings from trees to a semiring K . A widely studied…

Machine Learning · Computer Science 2008-07-21 François Denis , Amaury Habrard , Rémi Gilleron , Marc Tommasi , Édouard Gilbert

Tree ensembles are very popular machine learning models, known for their effectiveness in supervised classification and regression tasks. Their performance derives from aggregating predictions of multiple decision trees, which are renowned…

Optimization and Control · Mathematics 2025-01-14 Lorenzo Bonasera , Emilio Carrizosa

Populations of interest are often hidden from data for a variety of reasons, though their magnitude remains important in determining resource allocation and appropriate policy. One popular approach to population size estimation, the…

Methodology · Statistics 2025-06-27 Mallory J Flynn , Paul Gustafson

Tree-based ensemble methods such as random forests, gradient-boosted trees, and Bayesianadditive regression trees have been successfully used for regression problems in many applicationsand research studies. In this paper, we study ensemble…

Machine Learning · Statistics 2024-06-21 Alexandre Seiller , Éric Gaussier , Emilie Devijver , Marianne Clausel , Sami Alkhoury

Decision trees and their ensembles are popular in machine learning as easy-to-understand models. Several techniques have been proposed in the literature for learning tree-based classifiers, with different techniques working well for data…

Machine Learning · Computer Science 2025-05-20 Maria-Florina Balcan , Dravyansh Sharma
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