Cognitoware.Robotics.dll

Class GaussianCanonical

System.Object

Cognitoware.Mathematics.Probability.RandomDistribution<Vector>

Cognitoware.Mathematics.Probability.Continuous.GaussianCanonical

A canonical representation of a Gaussian.

GaussianCanonical(Vector, Matrix)

Creates a Gaussian with the specified information and precision.

AliasAs()

Inherited from Cognitoware.Mathematics.Probability.RandomDistribution

Create(GaussianMoment<X>)

Creates a canonical Gaussian from a moment Gaussian.

Equals(Object)

Inherited from System.Object

Finalize()

Inherited from System.Object

GetEntropy(IEnumerable<Vector>)

Inherited from Cognitoware.Mathematics.Probability.RandomDistribution

GetHashCode()

Inherited from System.Object

GetType()

Inherited from System.Object

MemberwiseClone()

Inherited from System.Object

Mu()

Returns mean of the Gaussian.
This function calculates the precision inverse and multiplies the result by the information.

ProbabilityOf(Vector)

Not implemented in GaussianCanonical.

Sample(Random)

Not implemented in GaussianCanonical.

ToString()

Inherited from System.Object

Instead of using mean and covariance, the canonical parameterization uses
information and precision to represent the distribution.
The canonical form makes some calculations easier to perform.
For this reason, it is used in Information Filter algorithm.
The canonical form of a Gaussian is simple to convert to the moment form of the Gaussian.
Information does not directly represent a x like the mean does in the moment form.
For this reason, the canonical form uses an abstract Vector as its data type.

public GaussianCanonical(Vector xi, Matrix omega)

Creates a Gaussian with the specified information and precision.

`xi`

- The information Vector.`omega`

- The precision Matrix.public static GaussianCanonical Create(GaussianMoment<X> x)

Creates a canonical Gaussian from a moment Gaussian.

`x`

- The moment based Gaussian distribution to convert.A new canonical based Gaussian that represents the same distribution as the parameter.

public X Mu()

Returns mean of the Gaussian.

The mean of the moment form of this Gaussian.

public override Double ProbabilityOf(Vector t)

Implements the abstract method in RandomDistribution.
Threows a NotImplementedException.

public override Vector Sample(Random select)

Implements the abstract method in RandomDistribution.
Threows a NotImplementedException.