Packages

class DRadial extends Radial with DBasisFunction

The DRadial class provides Radial basis functions with derivatives. Such basis functions are useful are useful in Neural Networks and Support Vector Classification.

Linear Supertypes
DBasisFunction, Radial, Error, BasisFunction, AnyRef, Any
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Inherited
  1. DRadial
  2. DBasisFunction
  3. Radial
  4. Error
  5. BasisFunction
  6. AnyRef
  7. Any
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Visibility
  1. Public
  2. All

Instance Constructors

  1. new DRadial(centers: VectorD = VectorD (0.0), radialType_: RadialType = GAUSSIAN, γ_: Double = 1.0, k_: Int = 2)

    centers

    a list of centers

    radialType_

    the type of the Radial Basis Function to be used

    γ_

    shape parameter

    k_

    the polynomial power of the radius used in Poly Harmonic Spline

Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  4. def abf(m: Int)(t: VectoD): MatrixD

    Obtain the value of the m-th order basis functions (all) at time 't'.

    Obtain the value of the m-th order basis functions (all) at time 't'. Or alternatively, obtain the basis function by calling bf(m)(j) only. Ex: val x = bf(m)(t) retrieves the value of all the basis functions at 't'. val f = bf(m) retrieves all the basis functions.

    m

    the order of all the basis function

    t

    the time parameter

    Definition Classes
    BasisFunction
  5. def abf_(m: Int)(t: Double): VectorD

    Obtain the value of the m-th order basis functions (all) at time 't'.

    Obtain the value of the m-th order basis functions (all) at time 't'. Or alternatively, obtain the basis function by calling bf(m)(j) only. Ex: val x = bf(m)(t) retrieves the value of all the basis functions at 't'. val f = bf(m) retrieves all the basis functions.

    m

    the order of all the basis function

    t

    the time parameter

    Definition Classes
    BasisFunction
  6. def apply(m: Int)(j: Int)(t: Double): Double

    Obtain the value of the m-th order 'j'-th basis function at time 't'.

    Obtain the value of the m-th order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf(m)(j) only. Ex: val x = bf(m)(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf(m)(j) retrieves the j-th basis function.

    m

    the order of the basis function

    j

    indicates which basis function

    t

    the time parameter

    Definition Classes
    BasisFunction
  7. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  8. def bf(m: Int = m)(j: Int)(t: Double): Double

    Obtain the value of the m-th order 'j'-th basis function at time 't'.

    Obtain the value of the m-th order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf(m)(j) only.

    m

    the order of the basis function

    j

    indicates which basis function

    t

    the time parameter

    Definition Classes
    RadialBasisFunction
  9. def bf1(j: Int)(t: Double): Double

    Obtain the value of the 1st order 'j'-th basis function at time 't'.

    Obtain the value of the 1st order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf1(j) only. Ex: val x = bf1(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf1(j) retrieves the j-th basis function.

    j

    indicates which basis function

    t

    the time parameter

    Definition Classes
    BasisFunction
  10. def bf2(j: Int)(t: Double): Double

    Obtain the value of the 2nd order 'j'-th basis function at time 't'.

    Obtain the value of the 2nd order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf2(j) only. Ex: val x = bf2(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf2(j) retrieves the j-th basis function.

    j

    indicates which basis function

    t

    the time parameter

    Definition Classes
    BasisFunction
  11. def bf3(j: Int)(t: Double): Double

    Obtain the value of the 3rd order 'j'-th basis function at time 't'.

    Obtain the value of the 3rd order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf3(j) only. Ex: val x = bf3(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf3(j) retrieves the j-th basis function.

    j

    indicates which basis function

    t

    the time parameter

    Definition Classes
    BasisFunction
  12. def bf4(j: Int)(t: Double): Double

    Obtain the value of the 4th order 'j'-th basis function at time 't'.

    Obtain the value of the 4th order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf4(j) only. Ex: val x = bf4(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf4(j) retrieves the j-th basis function.

    j

    indicates which basis function

    t

    the time parameter

    Definition Classes
    BasisFunction
  13. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  14. def count(m: Int): Int

    The number of basis functions for a specified order.

    The number of basis functions for a specified order.

    m

    the order of the basis function

    Definition Classes
    BasisFunction
  15. def d1bf(m: Int)(j: Int)(t: Double): Double

    Obtain the value of 1st derivative of the m-th order 'j'-th basis function at time 't'.

    Obtain the value of 1st derivative of the m-th order 'j'-th basis function at time 't'. Or alternatively, obtain the 1st derivative basis function by calling d1bf(m)(j) only. Ex: val x = d1bf(m)(j)(t) retrieves the 1st derivative value of the j-th basis function at 't'. val f = d1bf(m)(j) retrieves the 1st derivative of the j-th basis function.

    m

    the order of the basis function

    j

    indicates which basis function

    t

    the time parameter

    Definition Classes
    DBasisFunction
  16. def d2bf(m: Int)(j: Int)(t: Double): Double

    Obtain the value of 2nd derivative of the m-th order 'j'-th basis function at time 't'.

    Obtain the value of 2nd derivative of the m-th order 'j'-th basis function at time 't'. Or alternatively, obtain the 2nd derivative basis function by calling d2bf(m)(j) only. Ex: val x = d2bf(m)(j)(t) retrieves the 2nd derivative value of the j-th basis function at 't'. val f = d2bf(m)(j) retrieves the 2nd derivative of the j-th basis function.

    m

    the order of the basis function

    j

    indicates which basis function

    t

    the time parameter

    Definition Classes
    DBasisFunction
  17. def dnabf(n: Int)(m: Int)(t: VectoD): MatrixD

    Obtain the value of nth derivative of the m-th order basis functions (all) at time 't'.

    Obtain the value of nth derivative of the m-th order basis functions (all) at time 't'. Or alternatively, obtain the basis function by calling dnabf(m)(j) only. Ex: val x = dnabf(n)(m)(t) retrieves the nth derivative value of the value of all the basis functions at 't'. val f = dnabf(n)(m) retrieves the nth derivative value of all the basis functions.

    n

    the order of the derivative

    m

    the order of all the basis function

    t

    the time parameter

    Definition Classes
    DBasisFunction
  18. def dnabf_(n: Int)(m: Int)(t: Double): VectorD

    Obtain the value of nth derivative of the m-th order basis functions (all) at time 't'.

    Obtain the value of nth derivative of the m-th order basis functions (all) at time 't'. Or alternatively, obtain the basis function by calling dnabf(m)(j) only. Ex: val x = dnabf(n)(m)(t) retrieves the nth derivative value of the value of all the basis functions at 't'. val f = dnabf(n)(m) retrieves the nth derivative value of all the basis functions.

    n

    the order of the derivative

    m

    the order of all the basis function

    t

    the time parameter

    Definition Classes
    DBasisFunction
  19. def dnbf(n: Int)(m: Int)(j: Int)(t: Double): Double

    Obtain the value of nth derivative of the m-th order 'j'-th basis function at time 't'.

    Obtain the value of nth derivative of the m-th order 'j'-th basis function at time 't'. Or alternatively, obtain the nth derivative basis function by calling dnbf(n)(m)(j) only.

    n

    the order of the derivative

    m

    the order of the basis function

    j

    indicates which basis function

    t

    the time parameter

    Definition Classes
    DRadialDBasisFunction
  20. def dot_(n: Int)(m: Int)(i: Int, j: Int)(g: DBasisFunction, a: Double, b: Double): Double

    Compute the dot/inner product of nth derivative of 'this' basis function and that of basis function 'g'.

    Compute the dot/inner product of nth derivative of 'this' basis function and that of basis function 'g'.

    n

    the order of the derivative

    m

    the order of the basis function

    j

    indicates which basis function

    g

    the other function

    a

    the start of the interval

    b

    the end of the interval

    Definition Classes
    DBasisFunction
  21. def dot_(m: Int)(i: Int, j: Int)(g: BasisFunction, a: Double = 0.0, b: Double = 1.0): Double

    Compute the dot/inner product of 'this' basis function object and basis function 'g'.

    Compute the dot/inner product of 'this' basis function object and basis function 'g'.

    m

    the order of the basis function

    i

    indicates which basis function of 'this'

    j

    indicates which basis function of 'g'

    g

    the other function

    a

    the start of the interval

    b

    the end of the interval

    Definition Classes
    BasisFunction
  22. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  23. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  24. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  25. final def flaw(method: String, message: String): Unit
    Definition Classes
    Error
  26. def gaussian(r: Double): Double

    The value of the Gaussian Radial Basis Function with radius 'r'

    The value of the Gaussian Radial Basis Function with radius 'r'

    r

    the radius

    Attributes
    protected
    Definition Classes
    Radial
  27. def getCache(m: Int, t: VectoD): Array[MatrixD]

    Retrieves the cached design matrices and penalty matrices

    Retrieves the cached design matrices and penalty matrices

    m

    the order of all the basis function

    t

    the time parameter

    Definition Classes
    DBasisFunctionBasisFunction
  28. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  29. def getOrder: Int

    Retrieves the order of the this B_Spline

    Retrieves the order of the this B_Spline

    Definition Classes
    RadialBasisFunction
  30. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  31. def inverseMultiQuadratic(r: Double): Double

    The value of the Inverse Multi Quadratic Radial Basis Function with radius 'r'

    The value of the Inverse Multi Quadratic Radial Basis Function with radius 'r'

    r

    the radius

    Attributes
    protected
    Definition Classes
    Radial
  32. def inverseQuadratic(r: Double): Double

    The value of the Inverse Quadratic Radial Basis Function with radius 'r'

    The value of the Inverse Quadratic Radial Basis Function with radius 'r'

    r

    the radius

    Attributes
    protected
    Definition Classes
    Radial
  33. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  34. var k: Int
    Attributes
    protected
    Definition Classes
    Radial
  35. def multiQuadratic(r: Double): Double

    The value of the Multi Quadratic Radial Basis Function with radius 'r'

    The value of the Multi Quadratic Radial Basis Function with radius 'r'

    r

    the radius

    Attributes
    protected
    Definition Classes
    Radial
  36. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  37. val needCompute: Boolean
    Attributes
    protected
    Definition Classes
    BasisFunction
  38. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  39. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  40. def polyHarmonicSpline(r: Double, k: Int = k): Double

    The value of the Poly Harmonic Spline Radial Basis Function with radius 'r'

    The value of the Poly Harmonic Spline Radial Basis Function with radius 'r'

    r

    the radius

    Attributes
    protected
    Definition Classes
    Radial
    See also

    en.wikipedia.org/wiki/Polyharmonic_spline

  41. var radialType: RadialType
    Attributes
    protected
    Definition Classes
    Radial
  42. def range(m: Int = m): Range

    The range for the Radial basis functions

    The range for the Radial basis functions

    m

    the order of the spline

    Definition Classes
    RadialBasisFunction
  43. def recomputeCache: Unit

    Recompute cached matrices

    Recompute cached matrices

    Definition Classes
    BasisFunction
  44. def setGamma(gamma: Double): Unit

    Change the type of the Gamma parameter

    Change the type of the Gamma parameter

    gamma

    the gamma parameter to change to

    Definition Classes
    Radial
  45. def setK(k_: Int): Unit

    Change the type of the Gamma parameter

    Change the type of the Gamma parameter

    k_

    the gamma parameter to change to

    Definition Classes
    Radial
  46. def setRadialType(rt: RadialType): Unit

    Change the type of the Raidal Basis Function

    Change the type of the Raidal Basis Function

    rt

    the new Radial Basis Function Type to change to

    Definition Classes
    Radial
  47. def size(m: Int = m): Int

    The number of Radial basis functions for a specified order

    The number of Radial basis functions for a specified order

    m

    the order of the basis function

    Definition Classes
    RadialBasisFunction
  48. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  49. def thinPlateSpline(r: Double): Double

    The value of the Thin Plate Spline Radial Basis Function with radius 'r'

    The value of the Thin Plate Spline Radial Basis Function with radius 'r'

    r

    the radius

    Attributes
    protected
    Definition Classes
    Radial
  50. def toString(): String
    Definition Classes
    AnyRef → Any
  51. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  52. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  53. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  54. val Σ: MatrixD
    Attributes
    protected
    Definition Classes
    DBasisFunction
  55. val Φ: MatrixD
    Attributes
    protected
    Definition Classes
    BasisFunction
  56. val Φt: MatrixD
    Attributes
    protected
    Definition Classes
    BasisFunction
  57. val ΦtΦ: MatrixD
    Attributes
    protected
    Definition Classes
    BasisFunction
  58. var γ: Double
    Attributes
    protected
    Definition Classes
    Radial

Inherited from DBasisFunction

Inherited from Radial

Inherited from Error

Inherited from BasisFunction

Inherited from AnyRef

Inherited from Any

Ungrouped