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Functional data analysis information


Functional data analysis (FDA) is a branch of statistics that analyses data providing information about curves, surfaces or anything else varying over a continuum. In its most general form, under an FDA framework, each sample element of functional data is considered to be a random function. The physical continuum over which these functions are defined is often time, but may also be spatial location, wavelength, probability, etc. Intrinsically, functional data are infinite dimensional. The high intrinsic dimensionality of these data brings challenges for theory as well as computation, where these challenges vary with how the functional data were sampled. However, the high or infinite dimensional structure of the data is a rich source of information and there are many interesting challenges for research and data analysis.

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Functional data analysis

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Functional data analysis (FDA) is a branch of statistics that analyses data providing information about curves, surfaces or anything else varying over...

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Functional principal component analysis

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Functional principal component analysis (FPCA) is a statistical method for investigating the dominant modes of variation of functional data. Using this...

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Distributional data analysis

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Distributional data analysis is a branch of nonparametric statistics that is related to functional data analysis. It is concerned with random objects...

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Multidimensional scaling

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Ramsay of McGill University, who is also regarded as the founder of functional data analysis. MDS algorithms fall into a taxonomy, depending on the meaning...

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Functional regression

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Functional regression is a version of regression analysis when responses or covariates include functional data. Functional regression models can be classified...

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Purely functional data structure

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computer science, a purely functional data structure is a data structure that can be directly implemented in a purely functional language. The main difference...

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Topological data analysis

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In applied mathematics, topological data analysis (TDA) is an approach to the analysis of datasets using techniques from topology. Extraction of information...

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Functional programming

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in financial analysis, and XQuery/XSLT for XML. Domain-specific declarative languages like SQL and Lex/Yacc use some elements of functional programming...

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Whitening transformation

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functional settings". STAT. 12 (1): e516. doi:10.1002/sta4.516. hdl:1854/LU-8770510. Ramsay, J.O.; Silverman, J.O. (2005). Functional Data Analysis....

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Functional testing

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Functional testing can evaluate compliance to functional requirements. Sometimes, functional testing is a quality assurance (QA) process. Functional testing...

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Jorge Mateu

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Efficient Data Acquisition (2012), Spatial and Spatio-Temporal Geostatistical Modeling and Kriging (2015), or Geostatistical Functional Data Analysis (2021)...

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Functional magnetic resonance imaging

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Functional magnetic resonance imaging or functional MRI (fMRI) measures brain activity by detecting changes associated with blood flow. This technique...

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Functional boxplot

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envelope. To construct a functional boxplot, data ordering is the first step. In functional data analysis, each observation is a real function, therefore...

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Analysis of Functional NeuroImages

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Analysis of Functional NeuroImages (AFNI) is an open-source environment for processing and displaying functional MRI data—a technique for mapping human...

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List of statistics articles

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Analyse-it – software Analysis of categorical data Analysis of covariance Analysis of molecular variance Analysis of rhythmic variance Analysis of variance Analytic...

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Purely functional programming

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Functional programming may use persistent non-purely functional data structures, while those data structures may not be used in purely functional programs...

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Principal component analysis

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component analysis (PCA) is a linear dimensionality reduction technique with applications in exploratory data analysis, visualization and data preprocessing...

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Dynamic time warping

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open-source implementation of DTW-AROW is available in Python. In functional data analysis, time series are regarded as discretizations of smooth (differentiable)...

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Functional job analysis

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Functional job analysis (FJA) is a method of job analysis that was developed by the Employment and Training Administration of the United States Department...

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Data

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Dark data Data (computer science) Data acquisition Data analysis Data bank Data cable Data curation Data domain Data element Data farming Data governance...

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Cluster analysis

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exploratory data analysis, and a common technique for statistical data analysis, used in many fields, including pattern recognition, image analysis, information...

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Requirements analysis

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with the simulation Business analysis Business process reengineering Creative brief Data modeling Design brief Functional requirements Information technology...

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Multivariate statistics

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observed data; how they can be used as part of statistical inference, particularly where several different quantities are of interest to the same analysis. Certain...

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Functional flow block diagram

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data flow diagrams, control flow diagrams, Gantt charts, PERT diagrams, and IDEF. FFBDs are also referred to as functional flow diagrams, functional block...

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Journal of Multivariate Analysis

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covered include copula modeling, functional data analysis, graphical modeling, high-dimensional data analysis, image analysis, multivariate extreme-value theory...

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Variance function

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used in non-parametric regression, semiparametric regression and functional data analysis. In parametric modeling, variance functions take on a parametric...

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