Package org.drip.spaces.rxtor1

Class NormedRdCombinatorialToR1Continuous

java.lang.Object

org.drip.spaces.rxtor1.NormedRxToNormedR1

org.drip.spaces.rxtor1.NormedRdToNormedR1

org.drip.spaces.rxtor1.NormedRdCombinatorialToR1Continuous

Direct Known Subclasses:

RegularizerRdCombinatorialToR1Continuous

public class NormedRdCombinatorialToR1Continuous
extends NormedRdToNormedR1

NormedRdCombinatorialToR1Continuous implements the f : Validated Normed R^d Combinatorial 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
NormedRdCombinatorialToR1Continuous(RdCombinatorialBanach rdCombinatorialInput, R1Continuous r1ContinuousOutput, RdToR1 funcRdToR1)	NormedRdCombinatorialToR1Continuous 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

NormedRdCombinatorialToR1Continuous

public NormedRdCombinatorialToR1Continuous(RdCombinatorialBanach rdCombinatorialInput,
R1Continuous r1ContinuousOutput,
RdToR1 funcRdToR1)
                                    throws java.lang.Exception

NormedRdCombinatorialToR1Continuous Function Space Constructor

Parameters:

rdCombinatorialInput - The Combinatorial R^d Input 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