GeneralizedMetricVectorSpace

All Superinterfaces:: GeneralizedVector

All Known Subinterfaces:: R1Normed, RdNormed

All Known Implementing Classes:: R1Combinatorial, R1CombinatorialBall, R1Continuous, R1ContinuousBall, RdCombinatorialBall, RdCombinatorialBanach, RdCombinatorialHilbert, RdContinuousBall, RdContinuousBanach, RdContinuousHilbert

public interface GeneralizedMetricVectorSpace
extends GeneralizedVector

GeneralizedMetricVectorSpace exposes the basic Properties of the General Normed Metric Vector Space. It provides the following Functionality:

Retrieve the P-Norm Index of the Metric Space
Retrieve the Population Metric Norm

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

Field Summary

Fields

Modifier and Type Field Description

static int EUCLIDEAN_NORM
Euclidean (i.e., L₂) Norm

static int L2_NORM
L₂ Norm

static int LINFINITITY_NORM
L_Infinity Norm
Method Summary

Modifier and Type Method Description

int pNorm()
Retrieve the P-Norm Index of the Metric Space

double populationMetricNorm()
Retrieve the Population Metric Norm

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

Field Details
- EUCLIDEAN_NORM
  
  static final int EUCLIDEAN_NORM
  
  Euclidean (i.e., L₂) Norm
  
  See Also:
  
  Constant Field Values
- L2_NORM
  
  static final int L2_NORM
  
  L₂ Norm
  
  See Also:
  
  Constant Field Values
- LINFINITITY_NORM
  
  static final int LINFINITITY_NORM
  
  L_Infinity Norm
  
  See Also:
  
  Constant Field Values
Method Details
- pNorm
  
  int pNorm()
  
  Retrieve the P-Norm Index of the Metric Space
  
  Returns:
  
  The P-Norm Index of the Metric Space
- populationMetricNorm
  
  double populationMetricNorm() throws java.lang.Exception
  
  Retrieve the Population Metric Norm
  
  Returns:
  
  The Population Metric Norm
  
  Throws:
  
  java.lang.Exception - The Population Metric Norm cannot be computed