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The seriation problem in the presence of a double Fiedler value
Seriation is a problem consisting of seeking the best enumeration order of a set of units whose interrelationship is described by a bipartite graph....
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Comparing Geometrical and Ordinal Seriation Methods in Formal and Real Cases
In this chapter, methods mathematically described in Chaps. 2 and 3 will be mutually compared experimentally with respect to the seriation problem.
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Seriation from Proximity Variance Analysis
InRepresentation orderOrder to resolve chronologicalChronological problems, SeriationSeriation was introduced by archeologists as a formal...
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Seriation in Combinatorial and Statistical Data Analysis
This monograph offers an original broad and very diverse exploration of the seriation domain in data analysis, together with building a specific...
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A New Family of Combinatorial Algorithms in Seriation
In Sect. 3.6 of Chap. 3 the general idea of a new family of...
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Main Approaches in Seriation: The Attraction Pole Case
As previously, the data table crosses an object set \(\mathcal {O}\)...
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Spectral Ranking with Covariates
We consider spectral approaches to the problem of ranking n players given their incomplete and noisy pairwise comparisons, but revisit this classical...
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A Novel Graph-Based Approach for Seriation of Mouse Brain Cross-Section from Images
This paper addresses the problem of automatic seriation of mouse brain cross-sections stained with green-florescence protein (GFP). This is...
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Iterated Matrix Reordering
Heatmaps are a popular data visualization technique that allows to visualize a matrix or table in its entirety. An important step in the creation of...
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PQser : a Matlab package for spectral seriationSeriation is an important ordering problem which consists of finding the best ordering of a set of units whose interrelationship is defined by a...
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General Introduction: Methods and History
The general framework of this book is unsupervised combinatorialCombinatorial and statisticalStatistical dataData analysis analysis. In this, the...
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Conclusion and Developments
We will start by taking a look at what has been done in this book. In the part that stands out, it is an ordinalOrdinal structure that synthesizes...
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Modelling Zeros in Blockmodelling
Blockmodelling is the process of determining community structure in a graph. Real graphs contain noise and so it is up to the blockmodelling method...
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Knowledge Management Model in Virtual Classrooms to Measure Learning Through Gaming
In order to improve the level of learning in students of basic education or primary level in schools of the Capital District of Bogotá, a knowledge...
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Piaget’s Life and Cognitive Developmental Stages
Jean Piaget was a Swiss developmental psychologist who lived from 1896 to 1980. In this chapter, we will first take a quick look at his life and at...
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Clustering Methods from Proximity Variance Analysis
Two new families of clusteringClustering algorithmsAlgorithm emerge from the a priori determinationPole /poles of attractionAttraction poles.
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Iterated Local Search with Tabu Search for the Bandwidth Reduction Problem in Graphs
This paper addresses the bandwidth reduction problem in graphs, which is relevant in several applications, such as reducing memory consumption and...
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The Use of Augmented Reality for Solving Arithmetic Problems for Preschool Children
Preschool children are required to acquire problem-solving ability and related time and sequence concepts to solve mathematical story problems. The...
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Patrony: A mobile application for pattern recognition learning
Pattern recognition is an important skill of Computational Thinking and is one of the most important competences for solving a problem that involves...
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Smart Cyber-Physical System for Pattern Recognition of Illegal 3D Designs in 3D Printing
The method to protect intellectual property (IP) in automated manufacturing (AM) and 3D printing industry particularly, presented in this paper, is...