Package org.drip.spaces.rxtor1

Class NormedRdContinuousToR1Continuous

java.lang.Object

org.drip.spaces.rxtor1.NormedRxToNormedR1

org.drip.spaces.rxtor1.NormedRdToNormedR1

org.drip.spaces.rxtor1.NormedRdContinuousToR1Continuous

Direct Known Subclasses:

RegularizerRdContinuousToR1Continuous

public class NormedRdContinuousToR1Continuous
extends NormedRdToNormedR1

NormedRdContinuousToR1Continuous implements the f : Validated Normed R^d Continuous To Validated Normed R¹ Continuous Function Spaces. The Reference we've used is:

• Carl, B., and I. Stephani (1990): Entropy, Compactness, and the Approximation of Operators Cambridge University Press Cambridge UK

• Module = Computational Core Module
• Library = Statistical Learning Library
• Project = R¹ and R^d Vector/Tensor Spaces (Validated and/or Normed), and Function Classes
• Package = R^x To R¹ Normed Function Spaces

Author:

Lakshmi Krishnamurthy

Constructor Summary

Constructors

Constructor	Description
NormedRdContinuousToR1Continuous(RdContinuousBanach rdContinuousInput, R1Continuous r1ContinuousOutput, RdToR1 funcRdToR1)	NormedRdContinuousToR1Continuous Function Space Constructor

Method Summary

Modifier and Type	Method	Description
double	populationMetricNorm()	Retrieve the Population Metric Norm

Methods inherited from class org.drip.spaces.rxtor1.NormedRdToNormedR1

function, inputMetricVectorSpace, outputMetricVectorSpace, populationESS, sampleMetricNorm, sampleSupremumNorm

Methods inherited from class org.drip.spaces.rxtor1.NormedRxToNormedR1

populationCoveringNumber, populationSupremumCoveringNumber, populationSupremumMetricNorm, sampleCoveringNumber, sampleSupremumCoveringNumber

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details

NormedRdContinuousToR1Continuous

public NormedRdContinuousToR1Continuous(RdContinuousBanach rdContinuousInput,
R1Continuous r1ContinuousOutput,
RdToR1 funcRdToR1)
                                 throws java.lang.Exception

NormedRdContinuousToR1Continuous Function Space Constructor

Parameters:

rdContinuousInput - The Continuous R^d Input Banach Metric Vector Space

r1ContinuousOutput - The Continuous R^1 Output Metric Vector Space

funcRdToR1 - The R^d To R^1 Function

Throws:

java.lang.Exception - Thrown if the Inputs are Invalid

Method Details

populationMetricNorm

public double populationMetricNorm()
                            throws java.lang.Exception

Description copied from class: NormedRxToNormedR1

Retrieve the Population Metric Norm

Specified by:

populationMetricNorm in class NormedRxToNormedR1

Returns:

The Population Metric Norm

Throws:

java.lang.Exception - Thrown if the Population Metric Norm cannot be computed