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As the first part of the treatise on A General Theory of Concept Lattice (I-V), this work develops the general concept lattice for the problem concerning categorization of objects according to their properties. Unlike the conventional…

Logic in Computer Science · Computer Science 2019-08-06 Tsong-Ming Liaw , Simon C. Lin

Boundary detection has long been a fundamental tool for image processing and computer vision, supporting the analysis of static and time-varying data. In this work, we built upon the theory of Graph Signal Processing to propose a novel…

Graphics · Computer Science 2019-09-10 Luis Gustavo Nonato , Fabiano Petronetto e Claudio Silva

There is significant interest in being able to predict where crimes will happen, for example to aid in the efficient tasking of police and other protective measures. We aim to model both the temporal and spatial dependencies often exhibited…

Applications · Statistics 2013-04-23 Sivan Aldor-Noiman , Lawrence D. Brown , Emily B. Fox , Robert A. Stine

Social scientists have shown an increasing interest in understanding the structure of knowledge communities, and particularly the organization of "epistemic communities", that is groups of agents sharing common knowledge concerns. However,…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Camille Roth , Paul Bourgine

In this paper, we introduce CrimeGraphNet, a novel approach for link prediction in criminal networks utilizingGraph Convolutional Networks (GCNs). Criminal networks are intricate and dynamic, with covert links that are challenging to…

Social and Information Networks · Computer Science 2023-12-01 Chen Yang

Large Language Models have rapidly advanced in their ability to interpret and generate natural language. In enterprise settings, they are frequently augmented with closed-source domain knowledge to deliver more contextually informed…

Computation and Language · Computer Science 2025-12-03 Tanmay Agrawal

Modelling that exploits visual elements and information visualisation are important areas that have contributed immensely to understanding and the computerisation advancements in many domains and yet remain unexplored for the benefit of the…

Information Theory · Computer Science 2020-11-03 Scott McLachlan , Evangelia Kyrimi , Kudakwashe Dube , Norman Fenton , Lisa Webley

In the emerging field of mechanical metamaterials, using periodic lattice structures as a primary ingredient is relatively frequent. However, the choice of aperiodic lattices in these structures presents unique advantages regarding failure,…

In this paper, we present a fast algorithm for constructing a concept (Galois) lattice of a binary relation, including computing all concepts and their lattice order. We also present two efficient variants of the algorithm, one for…

Discrete Mathematics · Computer Science 2007-05-23 Vicky Choi

The modelling, analysis, and visualisation of dynamic geospatial phenomena has been identified as a key developmental challenge for next-generation Geographic Information Systems (GIS). In this context, the envisaged paradigmatic extensions…

Artificial Intelligence · Computer Science 2013-12-17 Mehul Bhatt , Jan Oliver Wallgruen

Information visualization is essential in making sense out of large data sets. Often, high-dimensional data are visualized as a collection of points in 2-dimensional space through dimensionality reduction techniques. However, these…

Computational Geometry · Computer Science 2009-07-16 Emden R. Gansner , Yifan Hu , Stephen G. Kobourov

Legal decision-making process requires the availability of comprehensive and detailed legislative background knowledge and up-to-date information on legal cases and related sentences/decisions. Legal Knowledge Graphs (KGs) would be a…

Artificial Intelligence · Computer Science 2025-08-11 Claudia dAmato , Giuseppe Rubini , Francesco Didio , Donato Francioso , Fatima Zahra Amara , Nicola Fanizzi

Technological advances have enabled multiple countries to consider implementing Smart City Infrastructure to provide in-depth insights into different data points and enhance the lives of citizens. Unfortunately, these new technological…

Cryptography and Security · Computer Science 2023-03-17 Yee Ching Tok , Sudipta Chattopadhyay

Past approaches for statistical shape analysis of objects have focused mainly on objects within the same topological classes, e.g., scalar functions, Euclidean curves, or surfaces, etc. For objects that differ in more complex ways, the…

Computer Vision and Pattern Recognition · Computer Science 2020-05-18 Xiaoyang Guo , Anuj Srivastava

The object of this paper is to develop a statistical approach to criminal linkage analysis that discovers and groups crime events that share a common offender and prioritizes suspects for further investigation. Bayes factors are used to…

Applications · Statistics 2014-10-10 Michael D. Porter

Computing conceptual structures, like formal concept lattices, is in the age of massive data sets a challenging task. There are various approaches to deal with this, e.g., random sampling, parallelization, or attribute extraction. A so far…

Artificial Intelligence · Computer Science 2020-02-28 Tom Hanika , Maren Koyda , Gerd Stumme

Lattices and their order diagrams are an essential tool for communicating knowledge and insights about data. This is in particular true when applying Formal Concept Analysis. Such representations, however, are difficult to comprehend by…

Artificial Intelligence · Computer Science 2023-12-29 Johannes Hirth , Viktoria Horn , Gerd Stumme , Tom Hanika

Recent research has shown that criminal networks have complex organizational structures, but whether this can be used to predict static and dynamic properties of criminal networks remains little explored. Here, by combining graph…

Graph vertex ordering is widely employed in spatial data analysis, especially in urban analytics, where street graphs serve as spatial discretization for modeling and simulation. It is also crucial for visualization, as many methods require…

Graphics · Computer Science 2025-10-23 Karelia Salinas , Victor Barella , Thales Viera , Luis Gustavo Nonato

Crimes emerge out of complex interactions of human behaviors and situations. Linkages between crime incidents are highly complex. Detecting crime linkage given a set of incidents is a highly challenging task since we only have limited…

Machine Learning · Statistics 2021-08-25 Shixiang Zhu , Yao Xie