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Image ordinal estimation is to predict the ordinal label of a given image, which can be categorized as an ordinal regression problem. Recent methods formulate an ordinal regression problem as a series of binary classification problems. Such…

Computer Vision and Pattern Recognition · Computer Science 2021-02-23 Haiping Zhu , Hongming Shan , Yuheng Zhang , Lingfu Che , Xiaoyang Xu , Junping Zhang , Jianbo Shi , Fei-Yue Wang

Coordinated multi-robot motion planning at intersections is key for safe mobility in roads, factories and warehouses. The rapidly exploring random tree (RRT) algorithms are popular in multi-robot motion planning. However, generating the…

Robotics · Computer Science 2024-12-03 Victor Parque

We define a search problem on trees that closely captures the backtracking behavior of all current practical graph isomorphism algorithms. Given two trees with colored leaves, the goal is to find two leaves of matching color, one in each of…

Data Structures and Algorithms · Computer Science 2020-11-04 Markus Anders , Pascal Schweitzer

Within machine learning, the supervised learning field aims at modeling the input-output relationship of a system, from past observations of its behavior. Decision trees characterize the input-output relationship through a series of nested…

Machine Learning · Statistics 2019-05-20 Arnaud Joly

In this paper we examine the application of the random forest classifier for the all relevant feature selection problem. To this end we first examine two recently proposed all relevant feature selection algorithms, both being a random…

Artificial Intelligence · Computer Science 2011-06-28 Miron B. Kursa , Witold R. Rudnicki

Despite the latest prevailing success of deep neural networks (DNNs), several concerns have been raised against their usage, including the lack of intepretability the gap between DNNs and other well-established machine learning models, and…

Machine Learning · Computer Science 2021-01-01 Jianghao Shen , Sicheng Wang , Zhangyang Wang

Real-world optimization problems may have a different underlying structure. In black-box optimization, the dependencies between decision variables remain unknown. However, some techniques can discover such interactions accurately. In Large…

Neural and Evolutionary Computing · Computer Science 2022-10-25 Marcin Michal Komarnicki , Michal Witold Przewozniczek , Halina Kwasnicka , Krzysztof Walkowiak

Iterative Proportional Fitting (IPF), combined with EM, is commonly used as an algorithm for likelihood maximization in undirected graphical models. In this paper, we present two iterative algorithms that generalize upon IPF. The first one…

Machine Learning · Computer Science 2013-01-07 Wim Wiegerinck , Tom Heskes

Many diseases and traits involve a complex interplay between genes and environment, generating significant interest in studying gene-environment interaction through observational data. However, for lifestyle and environmental risk factors,…

Methodology · Statistics 2023-09-22 Malka Gorfine , Conghui Qu , Ulrike Peters , Li Hsu

Ancestral graph models, introduced by Richardson and Spirtes (2002), generalize both Markov random fields and Bayesian networks to a class of graphs with a global Markov property that is closed under conditioning and marginalization. By…

Methodology · Statistics 2012-07-19 Mathias Drton , Thomas S. Richardson

Stereo matching is a core task for many computer vision and robotics applications. Despite their dominance in traditional stereo methods, the hand-crafted Markov Random Field (MRF) models lack sufficient modeling accuracy compared to…

Computer Vision and Pattern Recognition · Computer Science 2024-10-24 Tongfan Guan , Chen Wang , Yun-Hui Liu

Random forests are a statistical learning method widely used in many areas of scientific research because of its ability to learn complex relationships between input and output variables and also its capacity to handle high-dimensional…

Machine Learning · Statistics 2024-02-19 Louis Capitaine , Jérémie Bigot , Rodolphe Thiébaut , Robin Genuer

Random forests on the one hand, and neural networks on the other hand, have met great success in the machine learning community for their predictive performance. Combinations of both have been proposed in the literature, notably leading to…

Machine Learning · Computer Science 2021-10-15 Ludovic Arnould , Claire Boyer , Erwan Scornet , Sorbonne Lpsm

The idea of "stratified medicine" is an important driver of methodological research on the identification of predictive biomarkers. Most methods proposed so far for this purpose have been developed for the use on randomized data only.…

Methodology · Statistics 2022-12-19 Julia Krzykalla , Axel Benner , Annette Kopp-Schneider

Topologically constrained genome-like polymers often double-fold into tree-like configurations, which can be modelled on the level of folded (ring) polymers or on the level of the underlying random trees. For both descriptions, we have…

Soft Condensed Matter · Physics 2026-05-19 Pieter H. W. van der Hoek , Angelo Rosa , Elham Ghobadpour , Ralf Everaers

Random forests are classical ensemble algorithms that construct multiple randomized decision trees and aggregate their predictions using naive averaging. \citet{zhou2019deep} further propose a deep forest algorithm with multi-layer forests,…

Machine Learning · Computer Science 2025-02-04 Shen-Huan Lyu , Jin-Hui Wu , Qin-Cheng Zheng , Baoliu Ye

Random Forests (RF) and Extreme Gradient Boosting (XGBoost) are two of the most widely used and highly performing classification and regression models. They aggregate equally weighted CART trees, generated randomly in RF or sequentially in…

Machine Learning · Computer Science 2025-10-28 Dimitris Bertsimas , Yubing Cui

The ongoing explosion of genome sequence data is transforming how we reconstruct and understand the histories of biological systems. Across biological scales, from individual cells to populations and species, trees-based models provide a…

Populations and Evolution · Quantitative Biology 2025-12-08 Yun Deng , Shing H. Zhan , Yulin Zhang , Chao Zhang , Bingjie Chen

Influence Diagrams (ID) are a flexible tool to represent discrete stochastic optimization problems, including Markov Decision Process (MDP) and Partially Observable MDP as standard examples. More precisely, given random variables considered…

Optimization and Control · Mathematics 2019-07-08 Axel Parmentier , Victor Cohen , Vincent Leclère , Guillaume Obozinski , Joseph Salmon

We study a branching-process random iterated function system (RIFS) defined by a recursive replacement of leaves by finite subtrees at strictly smaller contraction scales. This construction yields a tree-valued, infinite-depth random…

Probability · Mathematics 2026-02-02 Kevin Hudnall
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