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Fitting distances to tree metrics and ultrametrics are two widely used methods in hierarchical clustering, primarily explored within the context of numerical taxonomy. Given a positive distance function…

Data Structures and Algorithms · Computer Science 2025-04-25 Amir Carmel , Debarati Das , Evangelos Kipouridis , Evangelos Pipis

Network coding (NC), when combined with multipath routing, enables a linear programming (LP) formulation for a multi-source multicast with intra-session network coding (MISNC) problem. However, it is still hard to solve using conventional…

Networking and Internet Architecture · Computer Science 2020-12-29 Jianwei Zhang

Given a $d$-dimensional array $A$, an update operation adds a given constant $C$ to each element within a continuous sub-array of $A$. A query operation computes the sum of all the elements within a continuous sub-array of $A$. The…

Data Structures and Algorithms · Computer Science 2016-08-05 Pushkar Mishra

Three approaches to content-and-structure XML retrieval are analysed in this paper: first by using Zettair, a full-text information retrieval system; second by using eXist, a native XML database, and third by using a hybrid XML retrieval…

Information Retrieval · Computer Science 2007-05-23 Jovan Pehcevski , James A. Thom , Anne-Marie Vercoustre

The well-known trace reconstruction problem is the problem of inferring an unknown source string $x \in \{0,1\}^n$ from independent "traces", i.e. copies of $x$ that have been corrupted by a $\delta$-deletion channel which independently…

Data Structures and Algorithms · Computer Science 2022-11-08 Xi Chen , Anindya De , Chin Ho Lee , Rocco A. Servedio , Sandip Sinha

In this paper, we propose a generic framework for devising an adaptive approximation scheme for value function approximation in reinforcement learning, which introduces multiscale approximation. The two basic ingredients are multiresolution…

Machine Learning · Computer Science 2019-08-26 Tao Li , Quanyan Zhu

Three-dimensional reconstruction is a fundamental problem in robotics perception. We examine the problem of active view selection to perform 3D Gaussian Splatting reconstructions with as few input images as possible. Although 3D Gaussian…

Computer Vision and Pattern Recognition · Computer Science 2024-09-26 Monica M. Q. Li , Pierre-Yves Lajoie , Giovanni Beltrame

The problem of column subset selection asks for a subset of columns from an input matrix such that the matrix can be reconstructed as accurately as possible within the span of the selected columns. A natural extension is to consider a…

Machine Learning · Computer Science 2024-08-13 Antonis Matakos , Bruno Ordozgoiti , Suhas Thejaswi

We present a method for the reconstruction of networks, based on the order of nodes visited by a stochastic branching process. Our algorithm reconstructs a network of minimal size that ensures consistency with the data. Crucially, we show…

Data Structures and Algorithms · Computer Science 2010-06-07 Nick Fyson , Tijl De Bie , Nello Cristianini

Search trees on trees (STTs) generalize the fundamental binary search tree (BST) data structure: in STTs the underlying search space is an arbitrary tree, whereas in BSTs it is a path. An optimal BST of size $n$ can be computed for a given…

Data Structures and Algorithms · Computer Science 2022-09-19 Benjamin Aram Berendsohn , Ishay Golinsky , Haim Kaplan , László Kozma

In recent years many algorithms have been developed for finding patterns in graphs and networks. A disadvantage of these algorithms is that they use subgraph isomorphism to determine the support of a graph pattern; subgraph isomorphism is a…

Data Structures and Algorithms · Computer Science 2015-03-19 Anton Dries , Siegfried Nijssen

The largest common embeddable subtree problem asks for the largest possible tree embeddable into two input trees and generalizes the classical maximum common subtree problem. Several variants of the problem in labeled and unlabeled rooted…

Data Structures and Algorithms · Computer Science 2018-05-03 Andre Droschinsky , Nils M. Kriege , Petra Mutzel

Computing time is becoming a key issue for tracking algorithms both online and off-line. Programming using adequate data structures can largely improve the efficiency of the reconstruction in terms of time response. We propose using one…

Despite the ubiquity of visualization examples published on the web, retargeting existing custom chart implementations to new datasets remains difficult, time-intensive, and tedious. The adaptation process assumes author familiarity with…

Human-Computer Interaction · Computer Science 2026-01-21 Luke S. Snyder , Chenglong Wang , Steven M. Drucker

We study the natural problem of Triplet Reconstruction (also Rooted Triplets Consistency or Triplet Clustering), originally motivated in computational biology and relational databases (Aho, Sagiv, Szymanski, and Ullman, 1981): given $n$…

Data Structures and Algorithms · Computer Science 2023-04-06 Vaggos Chatziafratis , Konstantin Makarychev

Locating and distilling the valuable relevant information continued to be the major challenges of Information Retrieval (IR) Systems owing to the explosive growth of online web information. These challenges can be considered the XML…

Information Retrieval · Computer Science 2014-10-29 Suma D. , U. Dinesh Acharya , Geetha M. , Raviraja Holla M

Recent research suggests that tree search algorithms (e.g. Monte Carlo Tree Search) can dramatically boost LLM performance on complex mathematical reasoning tasks. However, they often require more than 10 times the computational resources…

Computation and Language · Computer Science 2024-07-02 Ante Wang , Linfeng Song , Ye Tian , Baolin Peng , Dian Yu , Haitao Mi , Jinsong Su , Dong Yu

The recursive and hierarchical structure of full rooted trees is applicable to represent statistical models in various areas, such as data compression, image processing, and machine learning. In most of these cases, the full rooted tree is…

Machine Learning · Statistics 2022-03-24 Yuta Nakahara , Shota Saito , Akira Kamatsuka , Toshiyasu Matsushima

We study the minimum diameter spanning tree problem under the reload cost model (DIAMETER-TREE for short) introduced by Wirth and Steffan (2001). In this problem, given an undirected edge-colored graph $G$, reload costs on a path arise at a…

Data Structures and Algorithms · Computer Science 2017-04-25 Julien Baste , Didem Gözüpek , Christophe Paul , Ignasi Sau , Mordechai Shalom , Dimitrios M. Thilikos

Trees can accelerate queries that search or aggregate values over large collections. They achieve this by storing metadata that enables quick pruning (or inclusion) of subtrees when predicates on that metadata can prove that none (or all)…