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We introduce a family of branch merging operations on continuum trees and show that Ford CRTs are distributionally invariant. This operation is new even in the special case of the Brownian CRT, which we explore in more detail. The…

概率论 · 数学 2016-06-23 Franz Rembart

Common meadows are commutative and associative algebraic structures with two operations (addition and multiplication) with additive and multiplicative identities and for which inverses are total. The inverse of zero is an error term…

环与代数 · 数学 2024-06-10 João Dias , Bruno Dinis

In this paper we present novel algorithmic techniques with a O(H(N)+N/H(N)) time complexity for performing several types of queries and updates on general rooted trees, binary search trees and lists of size N. For rooted trees we introduce…

数据结构与算法 · 计算机科学 2013-03-25 Mugurel Ionut Andreica

The recursion tree resulting from Karatsuba's formula is built here by using an interleaved splitting scheme rather than the traditional left/right one. This allows an easier access to the nodes of the tree and $2n-1$ of them are initially…

数论 · 数学 2019-11-26 Thomas Baruchel

Random Indexing (RI) K-tree is the combination of two algorithms for clustering. Many large scale problems exist in document clustering. RI K-tree scales well with large inputs due to its low complexity. It also exhibits features that are…

信息检索 · 计算机科学 2010-02-02 Christopher M. De Vries , Lance De Vine , Shlomo Geva

A consensus tree is a phylogenetic tree that captures the similarity between a set of conflicting phylogenetic trees. The problem of computing a consensus tree is a major step in phylogenetic tree reconstruction. It also finds applications…

数据结构与算法 · 计算机科学 2017-07-05 Paweł Gawrychowski , Gad M. Landau , Wing-Kin Sung , Oren Weimann

Connected acyclic graphs (trees) are data objects that hierarchically organize categories. Collections of trees arise in a diverse variety of fields, including evolutionary biology, public health, machine learning, social sciences and…

统计方法学 · 统计学 2025-12-01 Maria Alejandra Valdez Cabrera , Amy D Willis , Armeen Taeb

Trees are fundamental data structure for many areas of computer science and system engineering. In this report, we show how to ensure eventual consistency of optimistically replicated trees. In optimistic replication, the different replicas…

数据结构与算法 · 计算机科学 2012-01-10 Stéphane Martin , Mehdi Ahmed-Nacer , Pascal Urso

Consensus clustering fuses diverse basic partitions (i.e., clustering results obtained from conventional clustering methods) into an integrated one, which has attracted increasing attention in both academic and industrial areas due to its…

机器学习 · 计算机科学 2019-06-04 Hongfu Liu , Zhiqiang Tao , Zhengming Ding

Both neural networks and decision trees are popular machine learning methods and are widely used to solve problems from diverse domains. These two classifiers are commonly used base classifiers in an ensemble framework. In this paper, we…

机器学习 · 计算机科学 2018-02-06 Rakesh Katuwal , P. N. Suganthan

Logic-Based Benders Decomposition (LBBD) and its Branch-and-Cut variant, namely Branch-and-Check, enjoy an extensive applicability on a broad variety of problems, including scheduling. Although LBBD offers problem-specific cuts to impose…

最优化与控制 · 数学 2025-04-02 Ioannis Avgerinos , Ioannis Mourtos , Stavros Vatikiotis , Georgios Zois

BIRCH clustering is a widely known approach for clustering, that has influenced much subsequent research and commercial products. The key contribution of BIRCH is the Clustering Feature tree (CF-Tree), which is a compressed representation…

机器学习 · 计算机科学 2020-11-30 Andreas Lang , Erich Schubert

In a rooted tree, we call a vertex {\em balanced} if it is at equal distance from all its descendant leaves. We count balanced vertices in three different tree varieties. For decreasing binary trees, we can prove that the probability that a…

组合数学 · 数学 2017-09-15 Miklos Bona

Spectral Clustering as a relaxation of the normalized/ratio cut has become one of the standard graph-based clustering methods. Existing methods for the computation of multiple clusters, corresponding to a balanced $k$-cut of the graph, are…

机器学习 · 统计学 2015-05-26 Syama Sundar Rangapuram , Pramod Kaushik Mudrakarta , Matthias Hein

Any function can be constructed using a hierarchy of simpler functions through compositions. Such a hierarchy can be characterized by a binary rooted tree. Each node of this tree is associated with a function which takes as inputs two…

机器学习 · 计算机科学 2019-10-23 Roozbeh Farhoodi , Khashayar Filom , Ilenna Simone Jones , Konrad Paul Kording

The combination and aggregation of knowledge from multiple neural networks can be commonly seen in the form of mixtures of experts. However, such combinations are usually done using networks trained on the same tasks, with little mention of…

机器学习 · 计算机科学 2021-03-26 Chen Wen Kang , Chua Meng Hong , Tomas Maul

Containment-based trees encompass various handy structures such as B+-trees, R-trees and M-trees. They are widely used to build data indexes, range-queryable overlays, publish/subscribe systems both in centralized and distributed contexts.…

分布式、并行与集群计算 · 计算机科学 2012-12-17 Evangelos Bampas , Anissa Lamani , Franck Petit , Mathieu Valero

Rebalancing schemes for dynamic binary search trees are numerous in the literature, where the goal is to maintain trees of low height, either in the worst-case or expected sense. In this paper we study randomized rebalancing schemes for…

数据结构与算法 · 计算机科学 2024-04-15 Gerth Stølting Brodal

Predictions using a combination of decision trees are known to be effective in machine learning. Typical ideas for constructing a combination of decision trees for prediction are bagging and boosting. Bagging independently constructs…

机器学习 · 计算机科学 2024-02-12 Keito Tajima , Naoki Ichijo , Yuta Nakahara , Toshiyasu Matsushima

This paper addresses the concurrency issues affecting Behavior Trees (BTs), a popular tool to model the behaviors of autonomous agents in the video game and the robotics industry. BT designers can easily build complex behaviors composing…

机器人学 · 计算机科学 2022-03-22 Michele Colledanchise , Lorenzo Natale