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In this paper, we present a flexible and probabilistic framework for tracking topological features in time-varying scalar fields using merge trees and partial optimal transport. Merge trees are topological descriptors that record the…

Computational Geometry · Computer Science 2025-08-26 Mingzhe Li , Xinyuan Yan , Lin Yan , Tom Needham , Bei Wang

Region-based methods have proven necessary for improving segmentation accuracy of neuronal structures in electron microscopy (EM) images. Most region-based segmentation methods use a scoring function to determine region merging. Such…

Computer Vision and Pattern Recognition · Computer Science 2018-04-04 Ting Liu , Miaomiao Zhang , Mehran Javanmardi , Nisha Ramesh , Tolga Tasdizen

We propose a procedure to build a decision tree which approximates the performance of complex machine learning models. This single approximation tree can be used to interpret and simplify the predicting pattern of random forests (RFs) and…

Methodology · Statistics 2016-10-31 Yichen Zhou , Giles Hooker

In this work, we develop the Batch Belief Trees (BBT) algorithm for motion planning under motion and sensing uncertainties. The algorithm interleaves between batch sampling, building a graph of nominal trajectories in the state space, and…

Robotics · Computer Science 2023-04-24 Dongliang Zheng , Panagiotis Tsiotras

Monte Carlo Tree Search (MCTS) is a best-first sampling method employed in the search for optimal decisions. The effectiveness of MCTS relies on the construction of its statistical tree, with the selection policy playing a crucial role. A…

Neural and Evolutionary Computing · Computer Science 2023-11-27 Edgar Galvan , Fred Valdez Ameneyro

The analysis of the internal structure of trees is highly important for both forest experts, biological scientists, and the wood industry. Traditionally, CT-scanners are considered as the most efficient way to get an accurate inner…

Computer Vision and Pattern Recognition · Computer Science 2020-02-12 Mohamed Mejri , Antoine Richard , Cédric Pradalier

Despite rapid progress in scene segmentation in recent years, 3D segmentation methods are still limited when there is severe occlusion. The key challenge is estimating the segment boundaries of (partially) occluded objects, which are…

Robotics · Computer Science 2021-04-02 Andrew Price , Kun Huang , Dmitry Berenson

Regression trees are a popular machine learning algorithm that fit piecewise constant models by recursively partitioning the predictor space. This paper focuses on statistical inference for a data-dependent model obtained from a fitted…

Methodology · Statistics 2025-12-17 Soham Bakshi , Yiling Huang , Snigdha Panigrahi , Walter Dempsey

This paper proposes a novel multi-target tracking (MTT) algorithm for scenarios with arbitrary numbers of measurements per target. We propose the variational probabilistic multi-hypothesis tracking (VPMHT) algorithm based on the variational…

Information Theory · Computer Science 2021-10-26 Shuoyuan Xu , Hyo-Sang Shin , Antonios Tsourdos

Extracting complex structures from grid-based data is a common key step in automated medical image analysis. The conventional solution to recovering tree-structured geometries typically involves computing the minimal cost path through…

Computer Vision and Pattern Recognition · Computer Science 2023-01-03 James Batten , Matthew Sinclair , Ben Glocker , Michiel Schaap

The increase in perception capabilities of connected mobile sensor platforms (e.g., self-driving vehicles, drones, and robots) leads to an extensive surge of sensed features at various temporal and spatial scales. Beyond their traditional…

Signal Processing · Electrical Eng. & Systems 2022-12-06 Alphonse Vial , Gustaf Hendeby , Winnie Daamen , Bart van Arem , Serge Hoogendoorn

We consider a family of local search algorithms for the minimum-weight spanning tree, indexed by a parameter $\rho$. One step of the local search corresponds to replacing a connected induced subgraph of the current candidate graph whose…

Probability · Mathematics 2022-05-11 Louigi Addario-Berry , Jordan Barrett , Benoît Corsini

We introduce the concept of derivate-based component-trees for images with an arbitrary number of channels. The approach is a natural extension of the classical component-tree devoted to gray-scale images. The similar structure enables the…

Computer Vision and Pattern Recognition · Computer Science 2018-04-20 Tobias Böttger , Dominik Gutermuth

This paper presents the Cascaded Metric Tree (CMT) for efficient satisfaction of metric search queries over a dataset of N objects. It provides extra information that permits query algorithms to exploit all distance calculations performed…

Data Structures and Algorithms · Computer Science 2021-12-22 Jeffrey Uhlmann , Miguel R. Zuniga

A new Bayesian modelling framework is introduced for piece-wise homogeneous variable-memory Markov chains, along with a collection of effective algorithmic tools for change-point detection and segmentation of discrete time series. Building…

Methodology · Statistics 2025-01-14 Valentinian Lungu , Ioannis Papageorgiou , Ioannis Kontoyiannis

The Multiple Hypothesis Tracking (MHT) algorithm is known to produce good results in difficult multi-target tracking situations. However, its implementation is not trivial, and is associated with a significant programming effort, code size…

Data Structures and Algorithms · Computer Science 2011-06-14 David Miguel Antunes , David Martins de Matos , José Gaspar

Monte Carlo Tree Search (MCTS) is a sampling best-first method to search for optimal decisions. The success of MCTS depends heavily on how the MCTS statistical tree is built and the selection policy plays a fundamental role in this. A…

Artificial Intelligence · Computer Science 2023-02-08 Fred Valdez Ameneyro , Edgar Galvan

One of the current challenges in machine learning is how to deal with data coming at increasing rates in data streams. New predictive learning strategies are needed to cope with the high throughput data and concept drift. One of the data…

We seek to provide an interpretable framework for segmenting users in a population for personalized decision-making. We propose a general methodology, Market Segmentation Trees (MSTs), for learning market segmentations explicitly driven by…

Applications · Statistics 2023-01-16 Ali Aouad , Adam N. Elmachtoub , Kris J. Ferreira , Ryan McNellis

Global voting schemes based on the Hough transform (HT) have been widely used to robustly detect lines in images. However, since the votes do not take line connectivity into account, these methods do not deal well with cluttered images. In…

Computer Vision and Pattern Recognition · Computer Science 2015-03-19 Rui F. C. Guerreiro , Pedro M. Q. Aguiar