Examples

Examples of several functionalities of the package.

Representation

Examples that illustrate the available objects in scikit-fda used to represent functional data inside the computer.

Discretized function representation

Discretized function representation

Extrapolation

Extrapolation

Function composition

Function composition

Interpolation

Interpolation

Mixed data structure and visualization.

Mixed data structure and visualization.

Mixed effects model for irregular data

Mixed effects model for irregular data

Mixed effects model for irregular data: robustness of the conversion

Mixed effects model for irregular data: robustness of the conversion

Representation of functional data

Representation of functional data

Datasets

Examples illustrating a particular dataset or data generation technique.

Meteorological data: data visualization, clustering, and functional PCA

Meteorological data: data visualization, clustering, and functional PCA

SDE simulation: Langevin dynamics

SDE simulation: Langevin dynamics

SDE simulation: creating synthetic datasets using SDEs

SDE simulation: creating synthetic datasets using SDEs

Spectrometric data: derivatives, regression, and variable selection

Spectrometric data: derivatives, regression, and variable selection

Voice signals: smoothing, registration, and classification

Voice signals: smoothing, registration, and classification

Preprocessing

Examples of preprocessing techniques available in scikit-fda.

Elastic registration

Elastic registration

Functional Diffusion Maps

Functional Diffusion Maps

Functional Principal Component Analysis

Functional Principal Component Analysis

Kernel Smoothing

Kernel Smoothing

Landmark registration

Landmark registration

Landmark shift

Landmark shift

Outlier detection with FPCA

Outlier detection with FPCA

Pairwise alignment

Pairwise alignment

Shift Registration

Shift Registration

Exploratory analysis

Examples of exploratory analysis functionalities available in scikit-fda.

Boxplot

Boxplot

Exploring data

Exploring data

Magnitude-Shape Plot

Magnitude-Shape Plot

Magnitude-Shape Plot synthetic example

Magnitude-Shape Plot synthetic example

Surface Boxplot

Surface Boxplot

Statistical inference

Examples of statistical inference functionalities in scikit-fda.

One-way functional ANOVA with real data

One-way functional ANOVA with real data

One-way functional ANOVA with synthetic data

One-way functional ANOVA with synthetic data

Machine learning

Examples the machine learning methods (clustering, classification and regression) for functional data that can be used in scikit-fda.

Classification methods

Classification methods

Clustering

Clustering

Depth based classification

Depth based classification

Functional Linear Regression with multivariate covariates.

Functional Linear Regression with multivariate covariates.

Functional Principal Component Analysis Regression.

Functional Principal Component Analysis Regression.

K-nearest neighbors classification

K-nearest neighbors classification

Kernel Regression

Kernel Regression

Neighbors Functional Regression

Neighbors Functional Regression

Neighbors Scalar Regression

Neighbors Scalar Regression

Radius neighbors classification

Radius neighbors classification

Expand scikit-fda

Examples of how to expand the functionality of scikit-fda with custom behaviors.

Creating a new basis

Creating a new basis

Creating a new interpolation or extrapolation strategy

Creating a new interpolation or extrapolation strategy