Package org.drip.spaces.rxtor1

Class NormedR1CombinatorialToR1Continuous

java.lang.Object

org.drip.spaces.rxtor1.NormedRxToNormedR1

org.drip.spaces.rxtor1.NormedR1ToNormedR1

org.drip.spaces.rxtor1.NormedR1CombinatorialToR1Continuous

Direct Known Subclasses:

RegularizerR1CombinatorialToR1Continuous

public class NormedR1CombinatorialToR1Continuous
extends NormedR1ToNormedR1

NormedR1CombinatorialToR1Continuous implements the f : Validated Normed R¹ 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
NormedR1CombinatorialToR1Continuous(R1Combinatorial r1CombinatorialInput, R1Continuous r1ContinuousOutput, R1ToR1 funcR1ToR1)	NormedR1CombinatorialToR1Continuous 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.NormedR1ToNormedR1

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

NormedR1CombinatorialToR1Continuous

public NormedR1CombinatorialToR1Continuous(R1Combinatorial r1CombinatorialInput,
R1Continuous r1ContinuousOutput,
R1ToR1 funcR1ToR1)
                                    throws java.lang.Exception

NormedR1CombinatorialToR1Continuous Function Space Constructor

Parameters:

r1CombinatorialInput - The Combinatorial R^1 Input Metric Vector Space

r1ContinuousOutput - The Continuous R^1 Output Metric Vector Space

funcR1ToR1 - The R1ToR1 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