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We would like to congratulate Lee, Nadler and Wasserman on their contribution to clustering and data reduction methods for high $p$ and low $n$ situations. A composite of clustering and traditional principal components analysis, treelets is…

Applications · Statistics 2008-07-28 Catherine Tuglus , Mark J. van der Laan

Topological methods for comparing weighted graphs are valuable in various learning tasks but often suffer from computational inefficiency on large datasets. We introduce RTD-Lite, a scalable algorithm that efficiently compares topological…

Machine Learning · Computer Science 2025-03-18 Eduard Tulchinskii , Daria Voronkova , Ilya Trofimov , Evgeny Burnaev , Serguei Barannikov

Modern graph or network datasets often contain rich structure that goes beyond simple pairwise connections between nodes. This calls for complex representations that can capture, for instance, edges of different types as well as so-called…

Social and Information Networks · Computer Science 2020-02-19 Ilya Amburg , Nate Veldt , Austin R. Benson

Random Forests are one of the most popular classifiers in machine learning. The larger they are, the more precise is the outcome of their predictions. However, this comes at a cost: their running time for classification grows linearly with…

Machine Learning · Computer Science 2019-12-24 Frederik Gossen , Bernhard Steffen

The rapid growth in feature dimension may introduce implicit associations between features and labels in multi-label datasets, making the relationships between features and labels increasingly complex. Moreover, existing methods often adopt…

Machine Learning · Computer Science 2025-05-30 Wanfu Gao , Jun Gao , Qingqi Han , Hanlin Pan , Kunpeng Liu

We propose a novel tree classification system called Treelogy, that fuses deep representations with hand-crafted features obtained from leaf images to perform leaf-based plant classification. Key to this system are segmentation of the leaf…

Computer Vision and Pattern Recognition · Computer Science 2017-01-31 İlke Çuğu , Eren Şener , Çağrı Erciyes , Burak Balcı , Emre Akın , Itır Önal , Ahmet Oğuz Akyüz

We investigate reading strategies for node-link diagrams that wrap around the boundaries in a flattened torus topology by examining eye tracking data recorded in a previous controlled study. Prior work showed that torus drawing affords…

Human-Computer Interaction · Computer Science 2023-04-27 Kun-Ting Chen , Quynh Quang Ngo , Kuno Kurzhals , Kim Marriott , Tim Dwyer , Michael Sedlmair , Daniel Weiskopf

Agglomerative hierarchical clustering can be implemented with several strategies that differ in the way elements of a collection are grouped together to build a hierarchy of clusters. Here we introduce versatile linkage, a new infinite…

Methodology · Statistics 2021-03-26 Alberto Fernández , Sergio Gómez

The ubiquity and value of tables as semi-structured data across various domains necessitate advanced methods for understanding their complexity and vast amounts of information. Despite the impressive capabilities of large language models…

Computation and Language · Computer Science 2024-11-14 Deyi Ji , Lanyun Zhu , Siqi Gao , Peng Xu , Hongtao Lu , Jieping Ye , Feng Zhao

Contour trees describe the topology of level sets in scalar fields and are widely used in topological data analysis and visualization. A main challenge of utilizing contour trees for large-scale scientific data is their computation at scale…

Computational Geometry · Computer Science 2024-10-01 Mingzhe Li , Hamish Carr , Oliver Rübel , Bei Wang , Gunther H. Weber

Visualizing spatial data on small-screen devices such as smartphones and smartwatches poses new challenges in computational cartography. The current interfaces for map exploration require their users to zoom in and out frequently. Indeed,…

Data Structures and Algorithms · Computer Science 2020-09-01 Sven Gedicke , Annika Bonerath , Benjamin Niedermann , Jan-Henrik Haunert

As data volumes continue to grow rapidly, traditional search algorithms, like the red-black tree and B+ Tree, face increasing challenges in performance, especially in big data scenarios with intensive storage access. This paper presents the…

Databases · Computer Science 2025-04-02 Songpeng Liu

In the final project paper we consider a graph parameter called readability. Motivation for readability comes from bioinformatics applications. Graphs arising in problems related to genome sequencing are of small readability, which…

Discrete Mathematics · Computer Science 2016-12-22 Vladan Jovičić

Probability estimation is one of the fundamental tasks in statistics and machine learning. However, standard methods for probability estimation on discrete objects do not handle object structure in a satisfactory manner. In this paper, we…

Applications · Statistics 2018-11-06 Cheng Zhang , Frederick A. Matsen

In information visualization, the position of symbols often encodes associated data values. When visualizing data elements with both a numerical and a categorical dimension, positioning in the categorical axis admits some flexibility. This…

Computational Geometry · Computer Science 2025-05-22 Bernd Gärtner , Vishwas Kalani , Meghana M. Reddy , Wouter Meulemans , Bettina Speckmann , Miloš Stojaković

The dynamical phenomena of complex networks are very difficult to predict from local information due to the rich microstructures and corresponding complex dynamics. On the other hands, it is a horrible job to compute some stochastic…

Data Structures and Algorithms · Computer Science 2016-01-08 Bing Yao , Xia Liu , Jin Xu

In this paper, we introduce a new approach for drawing diagrams that have applications in software visualization. Our approach is to use a technique we call confluent drawing for visualizing non-planar diagrams in a planar way. This…

Computational Geometry · Computer Science 2007-05-23 Matthew Dickerson , David Eppstein , Michael T. Goodrich , Jeremy Meng

Reachability is the problem of deciding whether there is a path from one vertex to the other in the graph. Standard graph traversal algorithms such as DFS and BFS take linear time to decide reachability however their space complexity is…

Computational Complexity · Computer Science 2019-02-06 Rahul Jain , Raghunath Tewari

We study the problem of learning a latent tree graphical model where samples are available only from a subset of variables. We propose two consistent and computationally efficient algorithms for learning minimal latent trees, that is, trees…

Machine Learning · Statistics 2010-09-15 Myung Jin Choi , Vincent Y. F. Tan , Animashree Anandkumar , Alan S. Willsky

The discovery of small world and scale free properties of many real world networks has revolutionized the way we study, analyze, model and process networks. An important way to analyze these complex networks is to visualize them using graph…

Social and Information Networks · Computer Science 2023-04-05 Faraz Zaidi