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package fda

The fda package contains classes, traits and objects for Functional Data Analysis (FDA).

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  1. class KMeansClustering_F extends Clusterer

    The KMeansClustering_F class provides a simple form of k-means clustering that simply smoothes the data and then appliers KMeansClustering.

  2. class PrincipalComponents_F extends Reducer

    The PrincipalComponents_F class performs the Principal Component Analysis 'PCA' on data matrix 'x'.

    The PrincipalComponents_F class performs the Principal Component Analysis 'PCA' on data matrix 'x'. It can be used to reduce the dimensionality of the data. First find the Principal Components 'PC's by calling 'findPCs' and then call 'reduce' to reduce the data (i.e., reduce matrix 'x' to a lower dimensionality matrix).

  3. class PrincipalDiff extends AnyRef

    The PrincipalDiff class uses Principal Differential Analysis (PDA) to fit functional data from a process governed by an Ordinary Differential Equation (ODE).

    The PrincipalDiff class uses Principal Differential Analysis (PDA) to fit functional data from a process governed by an Ordinary Differential Equation (ODE). FIX - TBD

  4. class Regression_F extends AnyRef

    The Regression_F class performs functional linear regression.

    The Regression_F class performs functional linear regression.

    y = b0 + b1 * x(t) + ε

  5. class Regression_F2S extends Predictor

    The Regression_F2S class performs functional linear regression with scaler response and functional covariates.

    The Regression_F2S class performs functional linear regression with scaler response and functional covariates.

    y = a + <b(t),x(t)> + ε

    where <b, x> denotes the inner product of b and x.

  6. class SmoothingB_F extends Error

    The SmoothingB_F class fits a time-dependent data vector 'y' to B-Splines.

    The SmoothingB_F class fits a time-dependent data vector 'y' to B-Splines.

    y(t(i)) = x(t(i)) + ε(t(i)) x(t) = cΦ(t)

    where 'x' is the signal, 'ε' is the noise, 'c' is a coefficient vector and 'Φ(t)' is a vector of basis functions. This version just used B-Splines.

  7. class Smoothing_F extends Error

    The Smoothing_F class fits a time-dependent data vector 'y' to B-Splines.

    The Smoothing_F class fits a time-dependent data vector 'y' to B-Splines.

    y(t(i)) = x(t(i)) + ε(t(i)) x(t) = cΦ(t)

    where 'x' is the signal, 'ε' is the noise, 'c' is a coefficient vector and 'Φ(t)' is a vector of basis functions.

  8. class StatFunction extends AnyRef

    The StatFunction class takes an array of functions 'xa' and provides an 'apply' method for evaluating these functions at time 't' to produce a vector from which statistics can be computed.

    The StatFunction class takes an array of functions 'xa' and provides an 'apply' method for evaluating these functions at time 't' to produce a vector from which statistics can be computed. Each function represents an experimental replication.

Value Members

  1. object KMeansClustering_FTest extends App

    The KMeansClustering_FTest object is used to test the KMeansClustering_F class.

    The KMeansClustering_FTest object is used to test the KMeansClustering_F class. > runMain scalation.analytics.fda.KMeansClustering_FTest

  2. object PrincipalComponents_FTest extends App

    The PrincipalComponents_FTest object is used to test the PrincipalComponents_F class.

    The PrincipalComponents_FTest object is used to test the PrincipalComponents_F class.

    See also

    www.ce.yildiz.edu.tr/personal/songul/file/1097/principal_components.pdf > runMain scalation.analytics.PrincipalComponents_FTest

  3. object PrincipalDiffTest extends App

    The PrincipalDiffTest object is used to test the PrincipalDiff class.

    The PrincipalDiffTest object is used to test the PrincipalDiff class. > runMain scalation.analytics.fda.PrincipalDiffTest FIX - smoothing not working correctly

  4. object Regression_F2STest extends App

    The Regression_F2STest object is used to test the Regression_F2S class.

    The Regression_F2STest object is used to test the Regression_F2S class. > runMain scalation.analytics.fda.Regression_F2STest

  5. object Regression_FTest extends App

    The Regression_FTest object is used to test the Regression_F class.

    The Regression_FTest object is used to test the Regression_F class. > runMain scalation.analytics.fda.Regression_FTest

  6. object Regression_FTest2 extends App

    The Regression_FTest2 object is used to test the Regression_F class.

    The Regression_FTest2 object is used to test the Regression_F class. > runMain scalation.analytics.fda.Regression_FTest2

  7. object SmoothingB_FTest extends App

    The SmoothingB_FTest is used to test the SmoothingB_F class.

    The SmoothingB_FTest is used to test the SmoothingB_F class. > runMain scalation.analytics.fda.SmoothingB_FTest

  8. object SmoothingMethod extends Enumeration

    The SmoothingMethod object provides enumerations defining various smoothing methods

  9. object Smoothing_FTest extends App

    The Smoothing_FTest is used to test the Smoothing_F class.

    The Smoothing_FTest is used to test the Smoothing_F class. > runMain scalation.analytics.fda.Smoothing_FTest

  10. object StatFunction

    The StatFunction companion object extends statistics vector operations to matrices.

    The StatFunction companion object extends statistics vector operations to matrices. The StatFunction object/class is the functional analog to the StatVector object/class.

  11. object StatFunctionTest extends App

    The StatFunctionTest object is used to test the StatFunction class.

    The StatFunctionTest object is used to test the StatFunction class. > runMain scalation.analytics.fda.StatFunctionTest

  12. object StatFunctionTest2 extends App

    The StatFunctionTest2 object is used to test the StatFunction object.

    The StatFunctionTest2 object is used to test the StatFunction object. > runMain scalation.analytics.fda.StatFunctionTest2

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