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Tree-based methods are powerful nonparametric techniques in statistics and machine learning. However, their effectiveness, particularly in finite-sample settings, is not fully understood. Recent applications have revealed their surprising…

Statistics Theory · Mathematics 2024-10-04 Hengrui Luo , Meng Li

Intrathoracic airway segmentation in computed tomography (CT) is a prerequisite for various respiratory disease analyses such as chronic obstructive pulmonary disease (COPD), asthma and lung cancer. Unlike other organs with simpler shapes…

Image and Video Processing · Electrical Eng. & Systems 2023-06-16 Puyang Wang , Dazhou Guo , Dandan Zheng , Minghui Zhang , Haogang Yu , Xin Sun , Jia Ge , Yun Gu , Le Lu , Xianghua Ye , Dakai Jin

Sampling-based algorithms, such as Rapidly Exploring Random Trees (RRT) and its variants, have been used extensively for motion planning. Control barrier functions (CBFs) have been recently proposed to synthesize controllers for…

Robotics · Computer Science 2022-06-03 Ahmad Ahmad , Calin Belta , Roberto Tron

We introduce a multiple testing procedure (TreeBH) which addresses the challenge of controlling error rates at multiple levels of resolution. Conceptually, we frame this problem as the selection of hypotheses which are organized…

Methodology · Statistics 2018-10-25 Marina Bogomolov , Christine B. Peterson , Yoav Benjamini , Chiara Sabatti

Decision Trees are prominent prediction models for interpretable Machine Learning. They have been thoroughly researched, mostly in the batch setting with a fixed labelled dataset, leading to popular algorithms such as C4.5, ID3 and CART.…

Machine Learning · Computer Science 2024-06-24 Ayman Chaouki , Jesse Read , Albert Bifet

There are numerous randomized algorithms to generate spanning trees in a given ambient graph; several target the uniform distribution on trees (UST), while in practice the fastest and most frequently used draw random weights on the edges…

Discrete Mathematics · Computer Science 2026-04-29 Eric Babson , Moon Duchin , Annina Iseli , Pietro Poggi-Corradini , Dylan Thurston , Jamie Tucker-Foltz

We propose a variable splitting binary tree (VSBT) model based on Bayesian context tree (BCT) models for time series segmentation. Unlike previous applications of BCT models, the tree structure in our model represents interval partitioning…

Machine Learning · Computer Science 2026-01-23 Yuta Nakahara , Shota Saito , Kohei Horinouchi , Koshi Shimada , Naoki Ichijo , Manabu Kobayashi , Toshiyasu Matsushima

In multi-target tracking, a data association hypothesis assigns measurements to tracks, and the hypothesis likelihood (of the joint target-measurement associations) is used to compare among all hypotheses for truncation under a finite…

Methodology · Statistics 2021-08-10 Lingji Chen

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

Robots have become increasingly prevalent in dynamic and crowded environments such as airports and shopping malls. In these scenarios, the critical challenges for robot navigation are reliability and timely arrival at predetermined…

Robotics · Computer Science 2023-09-21 Zhirui Sun , Boshu Lei , Peijia Xie , Fugang Liu , Junjie Gao , Ying Zhang , Jiankun Wang

This paper assumes prior detections of multiple targets at each time instant, and uses a graph-based approach to connect those detections across time, based on their position and appearance estimates. In contrast to most earlier works in…

Computer Vision and Pattern Recognition · Computer Science 2015-09-02 Amit Kumar K. C. , Damien Delannay , Christophe De Vleeschouwer

Knowledge of the medical decision process, which can be modeled as medical decision trees (MDTs), is critical to build clinical decision support systems. However, the current MDT construction methods rely heavily on time-consuming and…

Computation and Language · Computer Science 2024-01-05 Wei Zhu , Wenfeng Li , Xing Tian , Pengfei Wang , Xiaoling Wang , Jin Chen , Yuanbin Wu , Yuan Ni , Guotong Xie

Long-horizon planning in realistic environments requires the ability to reason over sequential tasks in high-dimensional state spaces with complex dynamics. Classical motion planning algorithms, such as rapidly-exploring random trees, are…

Robotics · Computer Science 2020-10-14 Brian Ichter , Pierre Sermanet , Corey Lynch

We present a scalable approach for range and $k$ nearest neighbor queries under computationally expensive metrics, like the continuous Fr\'echet distance on trajectory data. Based on clustering for metric indexes, we obtain a dynamic tree…

Computational Geometry · Computer Science 2021-12-14 Joachim Gudmundsson , Michael Horton , John Pfeifer , Martin P. Seybold

Cell tracking and segmentation assist biologists in extracting insights from large-scale microscopy time-lapse data. Driven by local accuracy metrics, current tracking approaches often suffer from a lack of long-term consistency and the…

Computer Vision and Pattern Recognition · Computer Science 2025-06-30 Timo Kaiser , Maximilian Schier , Bodo Rosenhahn

While Monte Carlo Tree Search (MCTS) shows promise in Large Language Model (LLM) based Automatic Heuristic Design (AHD), it suffers from a critical over-exploitation tendency under the limited computational budgets required for heuristic…

Machine Learning · Computer Science 2026-02-03 Kezhao Lai , Yutao Lai , Hai-Lin Liu

In this paper we present a novel probabilistic sampling-based motion planning algorithm called the Fast Marching Tree algorithm (FMT*). The algorithm is specifically aimed at solving complex motion planning problems in high-dimensional…

Robotics · Computer Science 2015-02-09 Lucas Janson , Edward Schmerling , Ashley Clark , Marco Pavone

Neuroscientific data analysis has traditionally relied on linear algebra and stochastic process theory. However, the tree-like shapes of neurons cannot be described easily as points in a vector space (the subtraction of two neuronal shapes…

Computer Vision and Pattern Recognition · Computer Science 2020-04-07 Dingkang Wang , Lucas Magee , Bing-Xing Huo , Samik Banerjee , Xu Li , Jaikishan Jayakumar , Meng Kuan Lin , Keerthi Ram , Suyi Wang , Yusu Wang , Partha P. Mitra

Tree-based models have proven to be an effective solution for web ranking as well as other problems in diverse domains. This paper focuses on optimizing the runtime performance of applying such models to make predictions, given an…

Databases · Computer Science 2013-04-29 Nima Asadi , Jimmy Lin , Arjen P. de Vries

The minimal spanning tree (MST) algorithm is a graph-theoretical cluster-finding method. We previously applied it to gamma-ray bidimensional images, showing that it is quite sensitive in finding faint sources. Possible sources are…

Instrumentation and Methods for Astrophysics · Physics 2013-08-06 R. Campana , E. Bernieri , E. Massaro , F. Tinebra , G. Tosti