Package org.drip.spaces.rxtor1
Class NormedR1ContinuousToR1Continuous
java.lang.Object
org.drip.spaces.rxtor1.NormedRxToNormedR1
org.drip.spaces.rxtor1.NormedR1ToNormedR1
org.drip.spaces.rxtor1.NormedR1ContinuousToR1Continuous
- Direct Known Subclasses:
RegularizerR1ContinuousToR1Continuous
public class NormedR1ContinuousToR1Continuous extends NormedR1ToNormedR1
NormedR1ContinuousToR1Continuous implements the f : Validated Normed R1 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 Rd Vector/Tensor Spaces (Validated and/or Normed), and Function Classes
- Package = Rx To R1 Normed Function Spaces
- Author:
- Lakshmi Krishnamurthy
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Constructor Summary
Constructors Constructor Description NormedR1ContinuousToR1Continuous(R1Continuous r1ContinuousInput, R1Continuous r1ContinuousOutput, R1ToR1 funcR1ToR1)
NormedR1ContinuousToR1Continuous Function Space Constructor -
Method Summary
Modifier and Type Method Description double
populationMetricNorm()
Retrieve the Population Metric NormMethods 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
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Constructor Details
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NormedR1ContinuousToR1Continuous
public NormedR1ContinuousToR1Continuous(R1Continuous r1ContinuousInput, R1Continuous r1ContinuousOutput, R1ToR1 funcR1ToR1) throws java.lang.ExceptionNormedR1ContinuousToR1Continuous Function Space Constructor- Parameters:
r1ContinuousInput
- The R^1 Input Metric Vector Spacer1ContinuousOutput
- The R^1 Output Metric Vector SpacefuncR1ToR1
- The R^1 To R^1 Function- Throws:
java.lang.Exception
- Thrown if the Inputs are Invalid
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Method Details
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populationMetricNorm
public double populationMetricNorm() throws java.lang.ExceptionDescription copied from class:NormedRxToNormedR1
Retrieve the Population Metric Norm- Specified by:
populationMetricNorm
in classNormedRxToNormedR1
- Returns:
- The Population Metric Norm
- Throws:
java.lang.Exception
- Thrown if the Population Metric Norm cannot be computed
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