16 citations · 27 across the 26 of their papers we have counts for
28 papers
Interrelating Fruchterman-Reingold Graph Visualization and Agglomerative Clustering
Alexandre Benatti, Luciano da F. Costa
Graph visualization methods and agglomerative clustering have been frequently considered in data analysis and pattern recognition. Because these approaches are interrelated and com…
Non-Supervised Community Detection and Hierarchical Modularity Estimation in Complex Networks
Alexandre Benatti, Luciano da F. Costa
This work extends to complex networks a recently described methodology (A. Benatti and L. da F Costa, Detecting Hierarchical Clusters and Estimating their Modularity Directly from…
Detecting Hierarchical Clusters and Estimating their Modularity Directly from Dendrograms
Alexandre Benatti, Luciano da F. Costa
Identifying possible clusters in datasets and estimating their hierarchical modularity are central tasks in pattern recognition. In the present work, concepts and methodologies are…
A Systematic Approach for Studying How Topological Measurements Respond to Complex Networks Modifications
Alexandre Benatti, Roberto M. Cesar, Luciano da F. Costa
Different types of graphs and complex networks have been characterized, analyzed, and modeled based on measurements of their respective topology. However, the available networks ma…
Partially Proportional and Adaptive Similarity Indices
Alexandre Benatti, Luciano da F. Costa
A good deal of science and technology concepts and methods rely on comparing and relating entities in quantitative terms. Among the several possible approaches, similarity indices…
An Analytical Approach to the Jaccard Similarity Index
Gonzalo Travieso, Alexandre Benatti, Luciano da F. Costa
The Jaccard similarity index has often been employed in science and technology as a means to quantify the similarity between two sets. When modified to operate on real-valued value…
Normalization in Proportional Feature Spaces
Alexandre Benatti, Luciano da F. Costa
The subject of features normalization plays an important central role in data representation, characterization, visualization, analysis, comparison, classification, and modeling, a…
Supervised Pattern Recognition Involving Skewed Feature Densities
Alexandre Benatti, Luciano da F. Costa
Pattern recognition constitutes a particularly important task underlying a great deal of scientific and technologica activities. At the same time, pattern recognition involves seve…
Agglomerative Clustering in Uniform and Proportional Feature Spaces
Alexandre Benatti, Luciano da F. Costa
Pattern comparison represents a fundamental and crucial aspect of scientific modeling, artificial intelligence, and pattern recognition. Three main approaches have typically been a…
Simple Games on Complex Networks
Alexandre Benatti, Luciano da F. Costa
The relationship between topology and dynamics of complex systems has motivated continuing interest from the scientific community. In the present work, we address this interesting…
Subsuming Complex Networks by Node Walks
Alexandre Benatti, Luciano da F. Costa
The concept of node walk in graphs and complex networks has been addressed, consisting of one or more nodes that move into adjacent nodes, henceforth incorporating the respective c…
Node Accessibility Characterization of Radially-Grown Structures
Alexandre Benatti, Roberto M. Cesar, Luciano da F. Costa
Complex systems have motivated continuing interest from the scientific community, leading to new concepts and methods. Growing systems represent a case of particular interest, as t…
Distance-Based Hierarchical Cutting of Complex Networks with Non-Preferential and Preferential Choice of Seeds
Alexandre Benatti, Luciano da F. Costa
Graphs and complex networks can be successively separated into connected components associated to respective seed nodes, therefore establishing a respective hierarchical organizati…
Hierarchical Cutting of Complex Networks Performed by Random Walks
Alexandre Benatti, Luciano da F. Costa
Several interesting approaches have been reported in the literature on complex networks, random walks, and hierarchy of graphs. While many of these works perform random walks on st…
Detecting Groups in Directed and Non-Directed Bipartite Networks
Alexandre Benatti, Luciano da F. Costa
Bipartite networks provide an effective resource for representing, characterizing, and modeling several abstract and real-world systems and structures involving binary relations, w…
Random Walks Performed by Topologically-Specific Agents on Complex Networks
Alexandre Benatti, Luciano da F. Costa
Random walks by single-node agents have been systematically conducted on various types of complex networks in order to investigate how their topologies can affect the dynamics of t…
Parallel and Sequential Resources Networks
Alexandre Benatti, Luciano da F. Costa
A large number of real and abstract systems involve the transformation of some basic resource into respective products under the action of multiple processing agents, which can be…
Simple Bundles of Complex Networks
Alexandre Benatti, Luciano da F. Costa
Complex networks can be used to represent and model an ample diversity of abstract and real-world systems and structures. A good deal of the research on these structures has focuse…
Multilayer Multiset Neuronal Networks -- MMNNs
Alexandre Benatti, Luciano da Fontoura Costa
The coincidence similarity index, based on a combination of the Jaccard and overlap similarity indices, has noticeable properties in comparing and classifying data, including enhan…
Two Approaches to Supervised Image Segmentation
Alexandre Benatti, Luciano da F. Costa
Though performed almost effortlessly by humans, segmenting 2D gray-scale or color images into respective regions of interest (e.g.~background, objects, or portions of objects) cons…
On the Transient and Equilibrium Features of Growing Fractal Complex Networks
Alexandre Benatti, Luciano da Fontoura Costa
Complex networks have certain properties that distinguish them from their respective uniform or regular counterparts. One of these properties is the variation of topological proper…
Neuromorphic Networks as Revealed by Features Similarity
Alexandre Benatti, Henrique F. de Arruda, Luciano da F. Costa
The study of neuronal morphology is important not only for its potential relationship with neuronal dynamics, but also as a means to classify diverse types of cells and compare tha…
Retrieving Hierarchies
Alexandre Benatti, Luciano da F. Costa
Several real-world and abstract structures and systems are characterized by marked hierarchy to the point of being expressed as trees. Because the study of these entities often inv…
Accessibility: A Generalization of the Node Degree (A Tutorial)
Alexandre Benatti, Luciano da F. Costa
Robust and comprehensive characterization of the topological properties of complex networks requires the adoption of several respective measurements, among which the node degree ha…