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Phylogenetic trees are leaf-labelled trees used to model the evolution of species. Here we explore the practical impact of kernelization (i.e. data reduction) on the NP-hard problem of computing the TBR distance between two unrooted binary…

Data Structures and Algorithms · Computer Science 2023-08-21 Rim van Wersch , Steven Kelk , Simone Linz , Georgios Stamoulis

Decision trees are widely adopted machine learning models due to their simplicity and explainability. However, as training data size grows, standard methods become increasingly slow, scaling polynomially with the number of training…

Quantum Physics · Physics 2025-01-23 Niraj Kumar , Romina Yalovetzky , Changhao Li , Pierre Minssen , Marco Pistoia

Merge trees are a valuable tool in the scientific visualization of scalar fields; however, current methods for merge tree comparisons are computationally expensive, primarily due to the exhaustive matching between tree nodes. To address…

Machine Learning · Computer Science 2024-10-07 Yu Qin , Brittany Terese Fasy , Carola Wenk , Brian Summa

Missing data imputation is a critical challenge in various domains, such as healthcare and finance, where data completeness is vital for accurate analysis. Large language models (LLMs), trained on vast corpora, have shown strong potential…

Machine Learning · Computer Science 2025-08-26 Xinrui He , Yikun Ban , Jiaru Zou , Tianxin Wei , Curtiss B. Cook , Jingrui He

We consider a distributed estimation method in a setting with heterogeneous streams of correlated data distributed across nodes in a network. In the considered approach, linear models are estimated locally (i.e., with only local data)…

Machine Learning · Computer Science 2021-02-11 Lingzhou Hong , Alfredo Garcia , Ceyhun Eksin

The goal of this work is to train effective representations for keyword spotting via metric learning. Most existing works address keyword spotting as a closed-set classification problem, where both target and non-target keywords are…

Audio and Speech Processing · Electrical Eng. & Systems 2020-05-19 Jaesung Huh , Minjae Lee , Heesoo Heo , Seongkyu Mun , Joon Son Chung

In recent years, non-parametric methods utilizing random walks on graphs have been used to solve a wide range of machine learning problems, but in their simplest form they do not scale well due to the quadratic complexity. In this paper, a…

Machine Learning · Computer Science 2012-10-19 Saeed Amizadeh , Bo Thiesson , Milos Hauskrecht

Tree-cut width is a parameter that has been introduced as an attempt to obtain an analogue of treewidth for edge cuts. Unfortunately, in spite of its desirable structural properties, it turned out that tree-cut width falls short as an…

Computational Complexity · Computer Science 2022-07-01 Robert Ganian , Viktoriia Korchemna

Recently, deep metric learning techniques received attention, as the learned distance representations are useful to capture the similarity relationship among samples and further improve the performance of various of supervised or…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Zhiyuan Li , Anca Ralescu

The edit distance between two rooted ordered trees with $n$ nodes labeled from an alphabet~$\Sigma$ is the minimum cost of transforming one tree into the other by a sequence of elementary operations consisting of deleting and relabeling…

Data Structures and Algorithms · Computer Science 2017-03-28 Karl Bringmann , Paweł Gawrychowski , Shay Mozes , Oren Weimann

Deep representation learning offers a powerful paradigm for mapping input data onto an organized embedding space and is useful for many music information retrieval tasks. Two central methods for representation learning include deep metric…

Sound · Computer Science 2020-08-14 Jongpil Lee , Nicholas J. Bryan , Justin Salamon , Zeyu Jin , Juhan Nam

Research into the classification of time series has made enormous progress in the last decade. The UCR time series archive has played a significant role in challenging and guiding the development of new learners for time series…

Distance/Similarity learning is a fundamental problem in machine learning. For example, kNN classifier or clustering methods are based on a distance/similarity measure. Metric learning algorithms enhance the efficiency of these methods by…

Machine Learning · Computer Science 2021-08-13 Sumia Abdulhussien Razooqi Al-Obaidi , Davood Zabihzadeh , Hamideh Hajiabadi

Dual-tree algorithms are a widely used class of branch-and-bound algorithms. Unfortunately, developing dual-tree algorithms for use with different trees and problems is often complex and burdensome. We introduce a four-part logical split:…

Data Structures and Algorithms · Computer Science 2013-04-17 Ryan R. Curtin , William B. March , Parikshit Ram , David V. Anderson , Alexander G. Gray , Charles L. Isbell

In this paper, we present a novel heuristic algorithm for the stable but NP-complete deformation-based edit distance on merge trees. Our key contribution is the introduction of a user-controlled look-ahead parameter that allows to trade off…

Computational Geometry · Computer Science 2025-01-13 Florian Wetzels , Heike Leitte , Christoph Garth

Decision tree (DT) attracts persistent research attention due to its impressive empirical performance and interpretability in numerous applications. However, the growth of traditional yet widely-used univariate decision trees (UDTs) is…

Machine Learning · Computer Science 2022-06-22 Dan Li , Songcan Chen

Metric embedding has become a common technique in the design of algorithms. Its applicability is often dependent on how high the embedding's distortion is. For example, embedding finite metric space into trees may require linear distortion…

Data Structures and Algorithms · Computer Science 2007-05-23 Yair Bartal , Manor Mendel

Edit distance between trees is a natural generalization of the classical edit distance between strings, in which the allowed elementary operations are contraction, uncontraction and relabeling of an edge. Demaine et al. [ACM Trans. on…

Data Structures and Algorithms · Computer Science 2018-04-27 Bartłomiej Dudek , Paweł Gawrychowski

The segmentation of individual trees from forest point clouds is a crucial task for downstream analyses such as carbon sequestration estimation. Recently, deep-learning-based methods have been proposed which show the potential of learning…

Computer Vision and Pattern Recognition · Computer Science 2024-05-06 Jonathan Henrich , Jan van Delden

Data classification without access to labeled samples remains a challenging problem. It usually depends on an appropriately chosen distance between features, a topic addressed in metric learning. Recently, Huizing, Cantini and Peyr\'e…

Optimization and Control · Mathematics 2025-07-18 Janis Auffenberg , Jonas Bresch , Oleh Melnyk , Gabriele Steidl