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Hierarchical clustering is a powerful tool for exploratory data analysis, organizing data into a tree of clusterings from which a partition can be chosen. This paper generalizes these ideas by proving that, for any reasonable hierarchy, one…

Machine Learning · Computer Science 2025-11-13 Andrew Draganov , Pascal Weber , Rasmus Skibdahl Melanchton Jørgensen , Anna Beer , Claudia Plant , Ira Assent

Attack Trees are a graphical model of security used to study threat scenarios. While visually appealing and supported by solid theories and effective tools, one of their main drawbacks remains the amount of effort required by security…

Cryptography and Security · Computer Science 2024-09-13 Alyzia-Maria Konsta , Gemma Di Federico , Alberto Lluch Lafuente , Andrea Burattin

Scholars, advertisers and political activists see massive online social networks as a representation of social interactions that can be used to study the propagation of ideas, social bond dynamics and viral marketing, among others. But the…

Computers and Society · Computer Science 2008-12-09 Bernardo A. Huberman , Daniel M. Romero , Fang Wu

An increasing number of today's social interactions occurs using online social media as communication channels. Some online social networks have become extremely popular in the last decade. They differ among themselves in the character of…

Physics and Society · Physics 2015-06-09 Przemyslaw A. Grabowicz , Jose J. Ramasco , Victor M. Eguiluz

Supertree construction is the process by which a set of phylogenetic trees, each on a subset of the overall set X of species, is combined into a tree on the full set S. The traditional use of supertree methods is the assembly of a large…

Populations and Evolution · Quantitative Biology 2018-05-10 Tandy Warnow

Behavior trees (BTs) emerged from video game development as a graphical language for modeling intelligent agent behavior. BTs have several properties which are attractive for modeling medical procedures including human-readability,…

Robotics · Computer Science 2018-01-25 Blake Hannaford

PageRank has been widely used to measure the authority or the influence of a user in social networks. However, conventional PageRank only makes use of edge-based relations, which represent first-order relations between two connected nodes.…

Social and Information Networks · Computer Science 2019-12-30 Huan Zhao , Xiaogang Xu , Yangqiu Song , Dik Lun Lee , Zhao Chen , Han Gao

In this manuscript, we show that any neural network with any activation function can be represented as a decision tree. The representation is equivalence and not an approximation, thus keeping the accuracy of the neural network exactly as…

Machine Learning · Computer Science 2022-10-26 Caglar Aytekin

Skip graphs are a novel distributed data structure, based on skip lists, that provide the full functionality of a balanced tree in a distributed system where resources are stored in separate nodes that may fail at any time. They are…

Data Structures and Algorithms · Computer Science 2007-05-23 James Aspnes , Gauri Shah

Net-trees are a general purpose data structure for metric data that have been used to solve a wide range of algorithmic problems. We give a simple randomized algorithm to construct net-trees on doubling metrics using $O(n\log n)$ time in…

Computational Geometry · Computer Science 2018-09-06 Mahmoodreza Jahanseir , Donald R. Sheehy

In previous work, the author defined the intersection graph of a chord diagram associated with string links (as in the theory of finite type invariants). In this paper, we classify the trees which can be obtained as intersection graphs of…

Geometric Topology · Mathematics 2007-05-23 Blake Mellor

Domestic and service robots have the potential to transform industries such as health care and small-scale manufacturing, as well as the homes in which we live. However, due to the overwhelming variety of tasks these robots will be expected…

Robotics · Computer Science 2021-06-04 Gavin Suddrey , Ben Talbot , Frederic Maire

The Social Web is a set of social relations that link people through World Wide Web. This Social Web encompasses how the websites and software are designed and developed to support social relations. The new paradigms, tools and web services…

Software Engineering · Computer Science 2014-10-09 V. Kiran Kumar

Pinboard on Pinterest is an emerging media to engage online social media users, on which users post online images for specific topics. Regardless of its significance, there is little previous work specifically to facilitate information…

Social and Information Networks · Computer Science 2015-09-03 Xitong Yang , Yuncheng Li , Jiebo Luo

Although regression trees were originally designed for large datasets, they can profitably be used on small datasets as well, including those from replicated or unreplicated complete factorial experiments. We show that in the latter…

Statistics Theory · Mathematics 2007-06-13 Wei-Yin Loh

Tanglegrams are a special class of graphs appearing in applications concerning cospeciation and coevolution in biology and computer science. They are formed by identifying the leaves of two rooted binary trees. We give an explicit formula…

Combinatorics · Mathematics 2015-07-20 Sara Billey , Matjaž Konvalinka , Frederick A Matsen

Periodic trees are combinatorial structures which are in bijection with cluster tilting objects in cluster categories of affine type $\tilde{A}_{n-1}$. The internal edges of the tree encode the $c$-vectors corresponding to the cluster…

Representation Theory · Mathematics 2014-07-03 Kiyoshi Igusa , Gordana Todorov , Jerzy Weyman

Formation of a hierarchy within an organization is a natural way of assigning the duties, delegating responsibilities and optimizing the flow of information. Only for the smallest companies the lack of the hierarchy, that is, a flat one, is…

Social and Information Networks · Computer Science 2020-09-16 Mateusz Nurek , Radosław Michalski

Social media is a primary medium for information diffusion during natural disasters. The social media ecosystem has been used to identify destruction, analyze opinions and organize aid. While the overall picture and aggregate trends may be…

Social and Information Networks · Computer Science 2025-02-06 Lynnette Hui Xian Ng , Iain J. Cruickshank , David Farr

Scientific journals are the repositories of the gradually accumulating knowledge of mankind about the world surrounding us. Just as our knowledge is organised into classes ranging from major disciplines, subjects and fields to increasingly…

Physics and Society · Physics 2015-08-13 Gergely Palla , Gergely Tibély , Enys Mones , Péter Pollner , Tamás Vicsek
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