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Correlation Dimension
A result of correlation dimensions and some of its applications to generic sets of operators are presented. For its proof, it is shown that the... -
A robust correlation coefficient for fermatean fuzzy sets based on spearman’s correlation measure with application to clustering and selection process
Fermatean fuzzy set (FFS) is an advance variant of fuzzy set applicable in curbing uncertainties and vagueness in complex decision making scenarios....
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Fermatean Fuzzy Type a Three-Way Correlation Coefficients
In challenging decision-making circumstances, tools like aggregation operators and information measures are routinely used. Using correlation... -
Understanding Correlation and Regression Techniques
Structural equation modeling (SEM) uses the concept of multiple regression. SEM runs several multiple regression models simultaneously. -
Integer Programming Based Algorithms for Overlap** Correlation Clustering
Clustering is a fundamental problem in data science with diverse applications in biology. The problem has many combinatorial and statistical... -
On Virial Expansions of Correlation Functions. Canonical Ensemble
We present a brief survey of works of the Kyiv School of Mathematicians published in Soviet journals in the 1940–70s. The main results are formulated...
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On eigenvalues of a high-dimensional Kendall’s rank correlation matrix with dependence
In this paper, we investigate the limiting spectral distribution of a high-dimensional Kendall’s rank correlation matrix. The underlying population...
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Chapter 10: Canonical Correlation Analysis
The necessary theory for the study of Canonical Correlation Analysis has already been introduced in Chap. Chap. 1... -
Uncertainty of Graph Clustering in Correlation Block Model
Cluster analysis is a powerful tool in network science and it is well developed in many directions. However, the uncertainty analysis of clustering... -
Moments and Correlation Conditions
This definition is frequently used in Convex Geometry, especially for random vectors which are uniformly distributed over a convex body (in which... -
Quantum Markovian Dynamics after the Bath Correlation Time
AbstractFor a model of a multilevel system interacting with several baths at zero temperature, it is shown that its dynamics becomes Markovian after...
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Pair correlation of real-valued vector sequences
In this article, we investigate the fine-scale statistics of real-valued arithmetic sequences. In particular, we focus on real-valued vector...
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Testing for Error Correlation in Semi-Functional Linear Models
Existing methods for analyzing semi-functional linear models usually assumed that random errors are not serially correlated or serially correlated...
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Fast normalized cross-correlation for template matching with rotations
Normalized cross-correlation is the reference approach to carry out template matching on images. When it is computed in Fourier space, it can handle...
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Review of Approximations for the Exchange-Correlation Energy in Density-Functional Theory
In this chapter, we provide a review of the ground-state Kohn–Sham density-functional theory of electronic systems and some of its extensions, we... -
Hellinger’s Distance and Correlation for a Subclass of Stable Distributions
AbstractWe investigated correlation retrieval procedure from Hellinger’s distance. We found monotone relation of Hellinger’s distance and positive...
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The Impact of General Correlation Under Multi-Period Mean-Variance Asset-Liability Portfolio Management
This paper studies the multi-period mean-variance (MV) asset-liability portfolio management problem (MVAL), in which the portfolio is constructed by...
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Correlation Matrices Driven by Stochastic Isospectral Flows
In many important areas of finance and risk management, time-dependent correlation matrices must be specified. We create valid correlation matrices... -
Forecasting the waste production hierarchical time series with correlation structure
Continuous increase in society’s prosperity causes overwhelming growth of the produced municipal solid waste. Circular economy initiatives help to...
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Asymptotic Distribution of the Correlation Matrix in a Monotone Incomplete Sample
Data with missing values are often obtained using multivariate statistical analyses. It is crucial to study how to estimate parameters and test...