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.
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- Radial
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new
DRadial(centers: VectorD = VectorD (0.0), radialType_: 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
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final
def
!=(arg0: Any): Boolean
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final
def
##(): Int
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final
def
==(arg0: Any): Boolean
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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
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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
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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
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final
def
asInstanceOf[T0]: T0
- Definition Classes
- Any
-
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
- Radial → BasisFunction
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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
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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
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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
-
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
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def
clone(): AnyRef
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws( ... ) @native() @HotSpotIntrinsicCandidate()
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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
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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
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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
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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
-
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
-
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
- DRadial → DBasisFunction
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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
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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
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final
def
eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
-
def
equals(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
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final
def
flaw(method: String, message: String): Unit
- Definition Classes
- Error
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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
-
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
- DBasisFunction → BasisFunction
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final
def
getClass(): Class[_]
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
-
def
getOrder: Int
Retrieves the order of the this B_Spline
Retrieves the order of the this B_Spline
- Definition Classes
- Radial → BasisFunction
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def
hashCode(): Int
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
-
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
-
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
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final
def
isInstanceOf[T0]: Boolean
- Definition Classes
- Any
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var
k: Int
- Attributes
- protected
- Definition Classes
- Radial
-
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
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final
def
ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
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val
needCompute: Boolean
- Attributes
- protected
- Definition Classes
- BasisFunction
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final
def
notify(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate()
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final
def
notifyAll(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate()
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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
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var
radialType: RadialType.RadialType
- Attributes
- protected
- Definition Classes
- Radial
-
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
- Radial → BasisFunction
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def
recomputeCache: Unit
Recompute cached matrices
Recompute cached matrices
- Definition Classes
- BasisFunction
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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
-
def
setK(k_: Int): Unit
Change the type of the Gamma parameter
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def
setRadialType(rt: RadialType.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
-
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
- Radial → BasisFunction
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final
def
synchronized[T0](arg0: ⇒ T0): T0
- Definition Classes
- AnyRef
-
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
-
def
toString(): String
- Definition Classes
- AnyRef → Any
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final
def
wait(arg0: Long, arg1: Int): Unit
- Definition Classes
- AnyRef
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- @throws( ... )
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final
def
wait(arg0: Long): Unit
- Definition Classes
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- @throws( ... ) @native()
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final
def
wait(): Unit
- Definition Classes
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- @throws( ... )
-
val
Σ: MatrixD
- Attributes
- protected
- Definition Classes
- DBasisFunction
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val
Φ: MatrixD
- Attributes
- protected
- Definition Classes
- BasisFunction
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val
Φt: MatrixD
- Attributes
- protected
- Definition Classes
- BasisFunction
-
val
ΦtΦ: MatrixD
- Attributes
- protected
- Definition Classes
- BasisFunction
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var
γ: Double
- Attributes
- protected
- Definition Classes
- Radial
Deprecated Value Members
-
def
finalize(): Unit
- Attributes
- protected[lang]
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- @throws( classOf[java.lang.Throwable] ) @Deprecated
- Deprecated