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This paper provides a theoretical framework for analysis of consensus algorithms for multi-agent networked systems with an emphasis on the role of directed information flow, robustness to changes in network topology due ...

Interactions become essential in Visualization because they enable users to adapt the visual representation to their own needs allowing them to explore the underlying information space. By using non-conventional devices,...

Preface to the Second Edition. Preface to the First Edition. Acknowledgments for the Second Edition. Acknowledgments for the First Edition. 1. Introduction and Preview. 1.1 Preview of the Book. 2. Entropy, Relative Entro...

Although the problem of determining the minimum cost path through a graph arises naturally in a number of interesting applications, there has been no underlying theory to guide the development of efficient search procedu...

Abstract In the early 1980s, a strategy for graphical representation of multivariate (multi‐species) abundance data was introduced into marine ecology by, among others, Field, et al. (1982). A decade on, it is instruct...

Abstract Principal component analysis (PCA) is a multivariate technique that analyzes a data table in which observations are described by several inter‐correlated quantitative dependent variables. Its goal is to extrac...

This survey provides an overview of higher-order tensor decompositions, their applications, and available software. A tensor is a multidimensional or N-way array. Decompositions of higher-order tensors (i.e., N-way array...

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It is suggested that if Guttman’s latent-root-one lower bound estimate for the rank of a correlation matrix is accepted as a psychometric upper bound, following the proofs and arguments of Kaiser and Dickman, then the ...

Materias / palabras clave: Support vector machine; Dimension (graph theory); Generalization; Structural risk minimization; Mathematical proof; Computer science; Kernel (algebra); VC dimension; Separable space; Construct (python library); Polynomia...

A training algorithm that maximizes the margin between the training patterns and the decision boundary is presented. The technique is applicable to a wide variety of the classification functions, including Perceptrons, p...

We present a simple, highly modularized network architecture for image classification. Our network is constructed by repeating a building block that aggregates a set of transformations with the same topology. Our simple ...

Materias / palabras clave: Polygon mesh; Vertex (graph theory); Skeleton (computer programming); Computer science; Lying; Extraction (chemistry); Combinatorics; Mathematics; Theoretical computer science; Computer graphics (images); Graph; Radiolog...

Materias / palabras clave: Hofstede's cultural dimensions theory; Masculinity; Uncertainty avoidance; Dimension (graph theory); Individualism; Human sexuality; Social psychology; Sociology; Identity (music); Psychology; Power (physics); Cultural v...

Systems as diverse as genetic networks or the World Wide Web are best described as networks with complex topology. A common property of many large networks is that the vertex connectivities follow a scale-free power-law ...

Abstract The least squares estimator of a regression coefficient β is vulnerable to gross errors and the associated confidence interval is, in addition, sensitive to non-normality of the parent distribution. In this pap...

Reproducibility is a defining feature of science, but the extent to which it characterizes current research is unknown. We conducted replications of 100 experimental and correlational studies published in three psycholog...

We propose a new higher-dimensional mechanism for solving the hierarchy problem. The weak scale is generated from the Planck scale through an exponential hierarchy. However, this exponential arises not from gauge interac...

We describe MUSCLE, a new computer program for creating multiple alignments of protein sequences. Elements of the algorithm include fast distance estimation using kmer counting, progressive alignment using a new profile ...

Saturation has attained widespread acceptance as a methodological principle in qualitative research. It is commonly taken to indicate that, on the basis of the data that have been collected or analysed hitherto, further ...

This paper demonstrates theoretically and empirically that a greedy algorithm called Orthogonal Matching Pursuit (OMP) can reliably recover a signal with $m$ nonzero entries in dimension $d$ given $ {\rm O}(m \ln d)$ ra...

Materias / palabras clave: Mathematics; Statistics; Unit root; Test statistic; Statistic; Monte Carlo method; Diagonal; Dimension (graph theory); Series (stratigraphy); Unit root test; Linear regression; Simple linear regression

Materias / palabras clave: Skepticism; Tacit knowledge; Dimension (graph theory); Epistemology; Explicit knowledge; Sociology; Philosophy; Mathematics; Pure mathematics

Phylogenies are extremely useful tools, not only for establishing genealogical relationships among a group of organisms or their parts (e.g. genes), but also for a variety of research once the phylogenies are estimated. ...