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

It provides the following Functionality:

• NormedRdCombinatorialToR1Continuous Function Space Constructor
• Retrieve the Population Metric Norm

Module	Computational Core Module
Library	Statistical Learning Library
Project	R1 and Rd Vector/Tensor Spaces (Validated and/or Normed), and Function Classes
Package	Rx To R1 Normed Function Spaces

Author:

Lakshmi Krishnamurthy

Constructor Summary

Constructors

Constructor	Description
NormedRdCombinatorialToR1Continuous(RdCombinatorialBanach rdCombinatorialBanachInput, R1Continuous r1ContinuousOutput, RdToR1 rdToR1Function)	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 rdCombinatorialBanachInput,
R1Continuous r1ContinuousOutput,
RdToR1 rdToR1Function)
                                    throws java.lang.Exception

NormedRdCombinatorialToR1Continuous Function Space Constructor

Parameters:

rdCombinatorialBanachInput - The Combinatorial R^d Input Banach Metric Vector Space

r1ContinuousOutput - The Continuous R¹ Output Metric Vector Space

rdToR1Function - The R^d To R¹ Function

Throws:

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

Method Details

populationMetricNorm

public double populationMetricNorm()
                            throws java.lang.Exception

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