Alexandre Benatti
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View article: A Systematic Approach for Studying How Topological Measurements Respond to Complex Networks Modifications
A Systematic Approach for Studying How Topological Measurements Respond to Complex Networks Modifications Open
Different types of graphs and complex networks have been characterized, analyzed, and modeled based on measurements of their respective topology. However, the available networks may constitute approximations of the original structure as a …
View article: Approximate Factorization of Prime Numbers
Approximate Factorization of Prime Numbers Open
Though prime numbers cannot be factorized into non-trivial forms, approximate factorizations paves the way to possibly identifying varying respective properties of prime numbers, which could lead to their better understanding and new appl…
View article: Partitions of Natural Numbers and Complex Network Representations
Partitions of Natural Numbers and Complex Network Representations Open
The possibility of expressing natural numbers as sums or product of numbers in a reference set, often corresponding to the prime numbers, has been frequently studied in the area of Number Theory. In particular, the Goldbach conjecture sug…
View article: Expressing Primes in Terms of Primes: Are Prime Numbers Modularly or Hierarchically Organized?
Expressing Primes in Terms of Primes: Are Prime Numbers Modularly or Hierarchically Organized? Open
Prime numbers have motivated interest as a consequence of their irregularity and unpredictability. At the same time, any natural number can be uniquely expressed as a product of the respective prime factors. However, the prime factorizati…
View article: On the Partitioning Structure of Prime Numbers
On the Partitioning Structure of Prime Numbers Open
The partition structure of prime numbers is studied by using respective decompositions in terms of a prime and a double prime terms, complementing preliminary results indicating that the prime numbers could be organized into two main grou…
View article: Partially Proportional and Adaptive Similarity Indices
Partially Proportional and Adaptive Similarity Indices Open
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 allow some interesting features, especially the ability to …
View article: An Analytical Approach to the Jaccard Similarity Index
An Analytical Approach to the Jaccard Similarity Index Open
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 values, the Jaccard similarity index can be applied to compare v…
View article: Normalization in Proportional Feature Spaces
Normalization in Proportional Feature Spaces Open
The subject of features normalization plays an important central role in data representation, characterization, visualization, analysis, comparison, classification, and modeling, as it can substantially influence and be influenced by all o…
View article: Supervised Pattern Recognition Involving Skewed Feature Densities
Supervised Pattern Recognition Involving Skewed Feature Densities Open
Pattern recognition constitutes a particularly important task underlying a great deal of scientific and technologica activities. At the same time, pattern recognition involves several challenges, including the choice of features to represe…
View article: Agglomerative Clustering in Uniform and Proportional Feature Spaces
Agglomerative Clustering in Uniform and Proportional Feature Spaces Open
Pattern comparison represents a fundamental and crucial aspect of scientific modeling, artificial intelligence, and pattern recognition. Three main approaches have typically been applied for pattern comparison: (i) distances; (ii) statisti…
View article: Simple Games on Complex Networks
Simple Games on Complex Networks Open
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 topic from the perspective of simple games, involving two t…
View article: Subsuming Complex Networks by Node Walks
Subsuming Complex Networks by Node Walks Open
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 connections. This type of dynamics is then applied to subsum…
View article: Node Accessibility Characterization of Radially-Grown Structures
Node Accessibility Characterization of Radially-Grown Structures Open
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 their topological, geometrical, and also dynamical propertie…
View article: Distance-Based Hierarchical Cutting of Complex Networks with Non-Preferential and Preferential Choice of Seeds
Distance-Based Hierarchical Cutting of Complex Networks with Non-Preferential and Preferential Choice of Seeds Open
Graphs and complex networks can be successively separated into connected components associated to respective seed nodes, therefore establishing a respective hierarchical organization. In the present work, we study the properties of the hie…
View article: Hierarchical Cutting of Complex Networks Performed by Random Walks
Hierarchical Cutting of Complex Networks Performed by Random Walks Open
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 stable, fixed networks, in the present work we address the si…
View article: Detecting Groups in Directed and Non-Directed Bipartite Networks
Detecting Groups in Directed and Non-Directed Bipartite Networks Open
Bipartite networks provide an effective resource for representing, characterizing, and modeling several abstract and real-world systems and structures involving binary relations, which include food webs, social interactions, and customer-p…
View article: Random Walks Performed by Topologically-Specific Agents on Complex Networks
Random Walks Performed by Topologically-Specific Agents on Complex Networks Open
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 the agents. However, by fitting any network node, these agen…
View article: Quantifying the hierarchical adherence of modular documents
Quantifying the hierarchical adherence of modular documents Open
Several natural and artificial structures are characterized by an intrinsic hierarchical organization. The present work describes a methodology for quantifying the degree of adherence between a given hierarchical template and a respective …
View article: Parallel and Sequential Resources Networks
Parallel and Sequential Resources Networks Open
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 understood as multiple-agent production systems (MAP). At e…
View article: Simple Bundles of Complex Networks
Simple Bundles of Complex Networks Open
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 focused on specific topological properties, including node degree…
View article: Multilayer Multiset Neuronal Networks -- MMNNs
Multilayer Multiset Neuronal Networks -- MMNNs Open
The coincidence similarity index, based on a combination of the Jaccard and overlap similarity indices, has noticeable properties in comparing and classifying data, including enhanced selectivity and sensitivity, intrinsic normalization, a…
View article: Two Approaches to Supervised Image Segmentation
Two Approaches to Supervised Image Segmentation Open
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) constitutes one of the greatest challenges in science and techn…
View article: On the Transient and Equilibrium Features of Growing Fractal Complex Networks
On the Transient and Equilibrium Features of Growing Fractal Complex Networks Open
Complex networks have certain properties that distinguish them from their respective uniform or regular counterparts. One of these properties is the variation of topological properties along different hierarchical levels. In this work, we …
View article: Modificações no modelo de Sznajd para simular dinâmica de opiniões em redes complexas
Modificações no modelo de Sznajd para simular dinâmica de opiniões em redes complexas Open
\n Redes complexas têm despertado interesse em várias aplicações por possuírem capacidade de representar e modelar diversos tipos de estruturas discretas. Um dos grandes desafios da pesquisa em sistemas complexos inclui entender a maneira …
View article: Neuromorphic Networks as Revealed by Features Similarity
Neuromorphic Networks as Revealed by Features Similarity Open
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 than among species, organs, and conditions. In the present wor…
View article: Retrieving Hierarchies
Retrieving Hierarchies Open
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 involves sampling (or discovering) the tree nodes in a specifi…
View article: Retrieving Hierarchies
Retrieving Hierarchies Open
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 involves sampling the tree nodes in a specific order that may …
View article: Learning Deep Learning
Learning Deep Learning Open
As a consequence of its capability of creating high level abstractions from data, deep learning has been effectively employed in a wide range of applications, including physics. Though deep learning can be, at first and simplistically unde…
View article: Data for: On the Stability of Communities in Citation Networks
Data for: On the Stability of Communities in Citation Networks Open
Citation networks can reveal many important information regarding the development of science and the relationship between different areas of knowledge. Thus, many studies have analyzed the topological properties of such networks. Frequentl…
View article: Accessibility: A Generalization of the Node Degree (A Tutorial)
Accessibility: A Generalization of the Node Degree (A Tutorial) Open
Robust and comprehensive characterization of the topological properties of complex networks requires the adoption of several respective measurements, among which the node degree has special importance. In the present work, we provide an in…