Package org.drip.spaces.metric
Class R1CombinatorialBall
java.lang.Object
org.drip.spaces.tensor.R1CombinatorialVector
org.drip.spaces.metric.R1Combinatorial
org.drip.spaces.metric.R1CombinatorialBall
- All Implemented Interfaces:
GeneralizedMetricVectorSpace
,R1Normed
,GeneralizedVector
,R1GeneralizedVector
public class R1CombinatorialBall extends R1Combinatorial
R1CombinatorialBall extends the Combinatorial R1 Banach Space by enforcing the Closed
Bounded Metric. 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 = Hilbert/Banach Normed Metric Spaces
- Author:
- Lakshmi Krishnamurthy
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Constructor Summary
Constructors Constructor Description R1CombinatorialBall(java.util.List<java.lang.Double> lsElementSpace, R1Univariate distR1, int iPNorm, double dblNormRadius)
R1CombinatorialBall Constructor -
Method Summary
Modifier and Type Method Description static R1CombinatorialBall
ClosedUnit(java.util.List<java.lang.Double> lsElementSpace, R1Univariate distR1, int iPNorm)
Construct a R1CombinatorialBall Instance of Unit Radiusdouble
normRadius()
Retrieve the Radius Normboolean
validateInstance(double dblInstance)
Validate the Input Instance OrdinateMethods inherited from class org.drip.spaces.metric.R1Combinatorial
borelMeasureSpaceExpectation, borelSigmaMeasure, pNorm, populationMetricNorm, populationMode, sampleMetricNorm, Standard, Supremum
Methods inherited from class org.drip.spaces.tensor.R1CombinatorialVector
cardinality, elementSpace, hyperVolume, isPredictorBounded, leftEdge, match, rightEdge, subset
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
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Constructor Details
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R1CombinatorialBall
public R1CombinatorialBall(java.util.List<java.lang.Double> lsElementSpace, R1Univariate distR1, int iPNorm, double dblNormRadius) throws java.lang.ExceptionR1CombinatorialBall Constructor- Parameters:
lsElementSpace
- The List Space of ElementsdistR1
- The R^1 Borel Sigma MeasureiPNorm
- The p-norm of the SpacedblNormRadius
- Radius Norm of the Unit Ball- Throws:
java.lang.Exception
- Thrown if the Inputs are Invalid
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Method Details
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ClosedUnit
public static final R1CombinatorialBall ClosedUnit(java.util.List<java.lang.Double> lsElementSpace, R1Univariate distR1, int iPNorm)Construct a R1CombinatorialBall Instance of Unit Radius- Parameters:
lsElementSpace
- The List Space of ElementsdistR1
- The R^1 Borel Sigma MeasureiPNorm
- The p-norm of the Space- Returns:
- ContinuousRealUnidimensionalBall Instance of Unit Radius
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normRadius
public double normRadius()Retrieve the Radius Norm- Returns:
- The Radius Norm
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validateInstance
public boolean validateInstance(double dblInstance)Description copied from interface:R1GeneralizedVector
Validate the Input Instance Ordinate- Specified by:
validateInstance
in interfaceR1GeneralizedVector
- Overrides:
validateInstance
in classR1CombinatorialVector
- Parameters:
dblInstance
- The Input Instance Ordinate- Returns:
- TRUE - Instance Ordinate is a Valid Entry in the Space
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