analysis

Type Members

abstract class BSplineGenerator extends MetaPipe21[Int, Int, Double, Double]

B-Spline generator as described in B(asic)-Spline Basics by Carl de Boor.
(B)ASIC SPLINES
B-Spline generator as described in B(asic)-Spline Basics by Carl de Boor.
B_i,k(t) := ω_i,k(t) B_i,k-1(t) + (1 - ω_i+1,k(t)) B_i+1,k-1
trait DifferentiableMap[S, D, J] extends DataPipe[S, D]

A DataPipe which represents a differentiable transformation.
abstract class InnerProductPV extends InnerProductSpace[PartitionedVector, Double]
case class MatrixVectorSpace(rows: Int, cols: Int) extends InnerProductSpace[DenseMatrix[Double], Double] with Product with Serializable

Defines an inner product space over m × n matrices.
class PartitionedVectorField extends Field[PartitionedVector] with InnerProductSpace[PartitionedVector, Double]

Created by mandar on 19/10/2016.
abstract class PushforwardMap[Source, Destination, Jacobian] extends Encoder[Source, Destination]

Push forward map is a function that has a well defined inverse as well as Jacobian of the inverse.
class RadialBasis[I] extends Basis[I]

Radial Basis Function Generator
abstract class SplineGenerator extends MetaPipe[Int, Double, Double]

Represents linear combinations of b-splines.
Generalised Piecewise Polynomial Splines
Represents linear combinations of b-splines.
class VectorField extends Field[DenseVector[Double]] with NRoot[DenseVector[Double]] with InnerProductSpace[DenseVector[Double], Double] with Serializable

Created by mandar on 18/7/16.

Value Members

object BSplineGenerator extends Serializable

The BSplineGenerator companion object has convenience methods for creating arbitrary b-spline generators from knot sequences.
object BernsteinSplineGenerator extends BSplineGenerator

Bernstein B-Splines have knots as (...000111...)
object BernsteinSplineSeriesGenerator extends DataPipe[Seq[Int], Basis[Double]]

Generate a basis of Bernstein Polynomials
object CardinalBSplineGenerator extends BSplineGenerator

Cardinal B-Splines have knots as the sequence of integers.
object ChebyshevBasisGenerator extends DataPipe2[Int, Int, Basis[Double]]

Generate a basis of Chebyshev functions
object CubicSplineGenerator extends DataPipe[Seq[Int], Basis[Double]]

Generate a basis of Cardinal Cubic B-Splines
object DifferentiableMap extends Serializable
object FourierBasisGenerator extends DataPipe2[Double, Int, Basis[Double]]

Generates a fourier series feature mapping.
object HermiteBasisGenerator extends DataPipe[Int, Basis[Double]]

Generate a hermite polynomial basis.
object InnerProductPV extends Serializable
object LegendreBasisGenerator extends DataPipe[Int, Basis[Double]]

Generate a legendre polynomial basis
object PartitionedVectorField extends Serializable
object PolynomialBasisGenerator extends DataPipe[Int, Basis[Double]]

Generates a polynomial feature mapping upto a specified degree.
object PushforwardMap extends Serializable
object RadialBasis extends Serializable
object SplineGenerator extends Serializable
object VectorField extends Serializable
object implicits

package analysis

Type Members

abstract class BSplineGenerator extends MetaPipe21[Int, Int, Double, Double]

(B)ASIC SPLINES

trait DifferentiableMap[S, D, J] extends DataPipe[S, D]

abstract class InnerProductPV extends InnerProductSpace[PartitionedVector, Double]

case class MatrixVectorSpace(rows: Int, cols: Int) extends InnerProductSpace[DenseMatrix[Double], Double] with Product with Serializable

class PartitionedVectorField extends Field[PartitionedVector] with InnerProductSpace[PartitionedVector, Double]

abstract class PushforwardMap[Source, Destination, Jacobian] extends Encoder[Source, Destination]

class RadialBasis[I] extends Basis[I]

Radial Basis Function Generator

abstract class SplineGenerator extends MetaPipe[Int, Double, Double]

Generalised Piecewise Polynomial Splines

class VectorField extends Field[DenseVector[Double]] with NRoot[DenseVector[Double]] with InnerProductSpace[DenseVector[Double], Double] with Serializable

Value Members

object BSplineGenerator extends Serializable

object BernsteinSplineGenerator extends BSplineGenerator

object BernsteinSplineSeriesGenerator extends DataPipe[Seq[Int], Basis[Double]]

object CardinalBSplineGenerator extends BSplineGenerator

object ChebyshevBasisGenerator extends DataPipe2[Int, Int, Basis[Double]]

object CubicSplineGenerator extends DataPipe[Seq[Int], Basis[Double]]

object DifferentiableMap extends Serializable

object FourierBasisGenerator extends DataPipe2[Double, Int, Basis[Double]]

object HermiteBasisGenerator extends DataPipe[Int, Basis[Double]]

object InnerProductPV extends Serializable

object LegendreBasisGenerator extends DataPipe[Int, Basis[Double]]

object PartitionedVectorField extends Serializable

object PolynomialBasisGenerator extends DataPipe[Int, Basis[Double]]

object PushforwardMap extends Serializable

object RadialBasis extends Serializable

object SplineGenerator extends Serializable

object VectorField extends Serializable

object implicits

Inherited from AnyRef

Inherited from Any

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