RdCombinatorialHilbert

java.lang.Object

org.drip.spaces.tensor.RdAggregate

org.drip.spaces.tensor.RdCombinatorialVector

org.drip.spaces.metric.RdCombinatorialBanach

org.drip.spaces.metric.RdCombinatorialHilbert

All Implemented Interfaces:: GeneralizedMetricVectorSpace, RdNormed, GeneralizedVector, RdGeneralizedVector

public class RdCombinatorialHilbert
extends RdCombinatorialBanach

RdCombinatorialHilbert implements the Bounded/Unbounded, Combinatorial l₂ R^d 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 = Hilbert/Banach Normed Metric Spaces

Author:: Lakshmi Krishnamurthy

Constructor Summary

Constructors

Constructor Description

RdCombinatorialHilbert(R1CombinatorialVector[] aR1CV, Rd distRd)
RdCombinatorialHilbert Space Constructor
Method Summary

Modifier and Type Method Description

double sampleMetricNorm(double[] adblX)
Compute the Metric Norm of the Sample

Methods inherited from class org.drip.spaces.metric.RdCombinatorialBanach
borelMeasureSpaceExpectation, borelSigmaMeasure, pNorm, populationMetricNorm, populationMode, populationSupremumNorm, sampleSupremumNorm

Methods inherited from class org.drip.spaces.tensor.RdCombinatorialVector
cardinality, hyperVolume, iterator, leftDimensionEdge, leftEdge, rightDimensionEdge, rightEdge

Methods inherited from class org.drip.spaces.tensor.RdAggregate
dimension, isPredictorBounded, match, subset, validateInstance, vectorSpaces

Methods inherited from class java.lang.Object
equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface org.drip.spaces.tensor.GeneralizedVector
cardinality, hyperVolume, isPredictorBounded, leftEdge, match, rightEdge, subset

Methods inherited from interface org.drip.spaces.tensor.RdGeneralizedVector
dimension, leftDimensionEdge, rightDimensionEdge, validateInstance, vectorSpaces

Constructor Details
- RdCombinatorialHilbert
  
  public RdCombinatorialHilbert(R1CombinatorialVector[] aR1CV, Rd distRd) throws java.lang.Exception
  
  RdCombinatorialHilbert Space Constructor
  
  Parameters:
  
  aR1CV - Array of Combinatorial R^1 Vector Spaces
  
  distRd - The R^d Borel Sigma Measure
  
  Throws:
  
  java.lang.Exception - Thrown if the Inputs are Invalid
Method Details
- sampleMetricNorm
  
  public double sampleMetricNorm(double[] adblX) throws java.lang.Exception
  
  Description copied from interface: RdNormed
  
  Compute the Metric Norm of the Sample
  
  Specified by:
  
  sampleMetricNorm in interface RdNormed
  
  Overrides:
  
  sampleMetricNorm in class RdCombinatorialBanach
  
  Parameters:
  
  adblX - The Sample
  
  Returns:
  
  The Metric Norm of the Sample
  
  Throws:
  
  java.lang.Exception - Thrown if the Inputs are Invalid