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Spline Class
Infinite Spline Kernel function.
Inheritance Hierarchy
SystemObject
  Accord.Statistics.KernelsKernelBaseDouble
    Accord.Statistics.KernelsKernelBase
      Accord.Statistics.KernelsSpline

Namespace:  Accord.Statistics.Kernels
Assembly:  Accord.Statistics (in Accord.Statistics.dll) Version: 3.8.0
Syntax
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[SerializableAttribute]
public sealed class Spline : KernelBase, 
	IKernel, IKernel<double[]>, ICloneable
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The Spline type exposes the following members.

Constructors
  NameDescription
Public methodSpline
Constructs a new Spline Kernel.
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Methods
  NameDescription
Public methodClone
Creates a new object that is a copy of the current instance.
Public methodDistance
Computes the squared distance in feature space between two points given in input space.
(Inherited from KernelBaseTInput.)
Public methodEquals
Determines whether the specified object is equal to the current object.
(Inherited from Object.)
Public methodFunction
Spline Kernel Function
(Overrides KernelBaseTInputFunction(TInput, TInput).)
Public methodGetHashCode
Serves as the default hash function.
(Inherited from Object.)
Public methodGetType
Gets the Type of the current instance.
(Inherited from Object.)
Public methodToString
Returns a string that represents the current object.
(Inherited from Object.)
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Extension Methods
  NameDescription
Public Extension MethodDistance
Computes the kernel distance for a kernel function even if it doesn't implement the IDistance interface. Can be used to check the proper implementation of the distance function.
(Defined by Tools.)
Public Extension MethodHasMethod
Checks whether an object implements a method with the given name.
(Defined by ExtensionMethods.)
Public Extension MethodIsEqual
Compares two objects for equality, performing an elementwise comparison if the elements are vectors or matrices.
(Defined by Matrix.)
Public Extension MethodTo(Type)Overloaded.
Converts an object into another type, irrespective of whether the conversion can be done at compile time or not. This can be used to convert generic types to numeric types during runtime.
(Defined by ExtensionMethods.)
Public Extension MethodToTOverloaded.
Converts an object into another type, irrespective of whether the conversion can be done at compile time or not. This can be used to convert generic types to numeric types during runtime.
(Defined by ExtensionMethods.)
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Remarks
The Spline kernel is given as a piece-wise cubic polynomial, as derived in the works by Gunn (1998).
Examples
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// Let's try to obtain a classifier for an 
// example 2D binary classification dataset:
var iris = new DataSets.YinYang();
double[][] inputs = iris.Instances;
bool[] outputs = iris.ClassLabels;

// Create a learning algorithm with the Spline kernel
var smo = new SequentialMinimalOptimization<Spline>()
{
    // Force a complexity value C or let it be
    // determined automatically by a heuristic:
    // Complexity = 1.5
};

// Use it to learn a new s.v. machine
var svm = smo.Learn(inputs, outputs);

// Now we can compute predicted values
bool[] predicted = svm.Decide(inputs);

// And check how far we are from the expected values
double error = new ZeroOneLoss(outputs).Loss(predicted); // error will be 0.20
See Also