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A graphical model is a statistical model that is associated to a graph whose nodes correspond to variables of interest. The edges of the graph reflect allowed conditional dependencies among the variables. Graphical models admit…

Methodology · Statistics 2016-06-09 Mathias Drton , Marloes H. Maathuis

This paper describes a new kind of knowledge representation and mining system which we are calling the Semantic Knowledge Graph. At its heart, the Semantic Knowledge Graph leverages an inverted index, along with a complementary uninverted…

Information Retrieval · Computer Science 2016-09-06 Trey Grainger , Khalifeh AlJadda , Mohammed Korayem , Andries Smith

The degree distribution, referred to as the delta-sequence of a network is studied. Using the non-normalized Lorenz curve, we apply a generalized form of the classical majorization partial order. Next, we introduce a new class of small…

General Mathematics · Mathematics 2024-03-28 Leo Egghe

Long document classification presents challenges in capturing both local and global dependencies due to their extensive content and complex structure. Existing methods often struggle with token limits and fail to adequately model…

Computation and Language · Computer Science 2024-10-07 Sudipta Singha Roy , Xindi Wang , Robert E. Mercer , Frank Rudzicz

The Web today has millions of datasets, and the number of datasets continues to grow at a rapid pace. These datasets are not standalone entities; rather, they are intricately connected through complex relationships. Semantic relationships…

Information Retrieval · Computer Science 2024-08-28 Kate Lin , Tarfah Alrashed , Natasha Noy

Much information about a graph can be obtained by studying its spanning trees. On the other hand, a graph can be regarded as a 1-dimensional cell complex, raising the question of developing a theory of trees in higher dimension. As observed…

Combinatorics · Mathematics 2015-06-24 Art M. Duval , Caroline J. Klivans , Jeremy L. Martin

As a research community grows, more and more papers are published each year. As a result there is increasing demand for improved methods for finding relevant papers, automatically understanding the key ideas and recommending potential…

Information Retrieval · Computer Science 2019-01-03 Yi Luan

Citation count prediction is the task of predicting the number of citations a paper has gained after a period of time. Prior work viewed this as a static prediction task. As papers and their citations evolve over time, considering the…

Computation and Language · Computer Science 2021-04-16 Andreas Nugaard Holm , Barbara Plank , Dustin Wright , Isabelle Augenstein

The phenomenon of human language is widely studied from various points of view. It is interesting not only for social scientists, antropologists or philosophers, but also for those, interesting in the network dynamics. In several recent…

Physics and Society · Physics 2009-11-13 Maria Markosova

With the evolution of social networks, the network structure shows dynamic nature in which nodes and edges appear as well as disappear for various reasons. The role of a node in the network is presented as the number of interactions it has…

Social and Information Networks · Computer Science 2018-03-02 Shailesh Kumar Jaiswal , Nabajyoti Medhi , Manjish Pal , Mridul Sahu , Prashant Sahu , Amal Dev Sarma

Given any complex directed network, a set of acyclic subgraphs - the hierarchical backbone of the network - can be extracted that will provide valuable information about its hierarchical structure. The current paper presents how the…

Statistical Mechanics · Physics 2007-05-23 Luciano da Fontoura Costa

The compositionality of meaning extends beyond the single sentence. Just as words combine to form the meaning of sentences, so do sentences combine to form the meaning of paragraphs, dialogues and general discourse. We introduce both a…

Computation and Language · Computer Science 2013-06-18 Nal Kalchbrenner , Phil Blunsom

With the recent success of deep neural networks in computer vision, it is important to understand the internal working of these networks. What does a given neuron represent? The concepts captured by a neuron may be hard to understand or…

Computer Vision and Pattern Recognition · Computer Science 2020-12-29 Suryabhan Singh Hada , Miguel Á. Carreira-Perpiñán

The proposal is to use clusters, graphs and networks as models in order to analyse the Web structure. Clusters, graphs and networks provide knowledge representation and organization. Clusters were generated by co-site analysis. The sample…

Artificial Intelligence · Computer Science 2007-07-11 Xavier Polanco

Intrinsic computation refers to how dynamical systems store, structure, and transform historical and spatial information. By graphing a measure of structural complexity against a measure of randomness, complexity-entropy diagrams display…

Chaotic Dynamics · Physics 2009-11-13 David P. Feldman , Carl S. McTague , James P. Crutchfield

We propose a model of the evolution of the networks of scientific citations. The model takes an out-degree distribution (distribution of number of citations) and two parameters as input. The parameters capture the two main ingredients of…

Physics and Society · Physics 2009-09-15 Zhi-Xi Wu , Petter Holme

We define the beta diffusion tree, a random tree structure with a set of leaves that defines a collection of overlapping subsets of objects, known as a feature allocation. A generative process for the tree structure is defined in terms of…

Machine Learning · Statistics 2015-04-06 Creighton Heaukulani , David A. Knowles , Zoubin Ghahramani

In this article we will look at the PageRank algorithm used as part of the ranking process of different Internet pages in search engines by for example Google. This article has its main focus in the understanding of the behavior of PageRank…

Information Retrieval · Computer Science 2014-01-24 Christopher Engström , Sergei Silvestrov

We study the evolution of networks when the creation and decay of links are based on the position of nodes in the network measured by their centrality. We show that the same network dynamics arises under various centrality measures, and…

Physics and Society · Physics 2013-05-29 Michael D. Koenig , Claudio J. Tessone

A foundation is investigated for the application of loosely structured data on the Web. This area is often referred to as Linked Data, due to the use of URIs in data to establish links. This work focuses on emerging W3C standards which…

Logic in Computer Science · Computer Science 2011-08-02 Ross Horne , Vladimiro Sassone