Packages

object svd extends UFunc

Computes the SVD of a M-by-N matrix Returns an M-by-M matrix U, a vector of singular values, and a N-by-N matrix V'

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Type Members

  1. type DenseSVD = SVD[DenseMatrix[Double], DenseVector[Double]]
  2. type Impl[V, VR] = UImpl[svd.this.type, V, VR]
    Definition Classes
    UFunc
  3. type Impl2[V1, V2, VR] = UImpl2[svd.this.type, V1, V2, VR]
    Definition Classes
    UFunc
  4. type Impl3[V1, V2, V3, VR] = UImpl3[svd.this.type, V1, V2, V3, VR]
    Definition Classes
    UFunc
  5. type Impl4[V1, V2, V3, V4, VR] = UImpl4[svd.this.type, V1, V2, V3, V4, VR]
    Definition Classes
    UFunc
  6. type InPlaceImpl[V] = generic.UFunc.InPlaceImpl[svd.this.type, V]
    Definition Classes
    UFunc
  7. type InPlaceImpl2[V1, V2] = generic.UFunc.InPlaceImpl2[svd.this.type, V1, V2]
    Definition Classes
    UFunc
  8. type InPlaceImpl3[V1, V2, V3] = generic.UFunc.InPlaceImpl3[svd.this.type, V1, V2, V3]
    Definition Classes
    UFunc
  9. type OpMulMatrixDenseVector[Mat] = UImpl2[OpMulMatrix.type, Mat, DenseVector[Double], DenseVector[Double]]
  10. type SDenseSVD = SVD[DenseMatrix[Float], DenseVector[Float]]
  11. case class SVD [M, V](leftVectors: M, singularValues: V, rightVectors: M) extends Product with Serializable
  12. type SinkImpl[S, V] = generic.UFunc.SinkImpl[svd.this.type, S, V]
    Definition Classes
    UFunc
  13. type SinkImpl2[S, V1, V2] = generic.UFunc.SinkImpl2[svd.this.type, S, V1, V2]
    Definition Classes
    UFunc
  14. type SinkImpl3[S, V1, V2, V3] = generic.UFunc.SinkImpl3[svd.this.type, S, V1, V2, V3]
    Definition Classes
    UFunc

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. implicit def Svd_Sparse_Impl[Mat, MatTranspose](implicit mul: OpMulMatrixDenseVector[Mat], trans: CanTranspose[Mat, MatTranspose], mulTrans: OpMulMatrixDenseVector[MatTranspose], dimImpl: dim.Impl[Mat, (Int, Int)]): Impl3[Mat, Int, Double, DenseSVD]

    Implementation of svds for a sparse matrix.

    Implementation of svds for a sparse matrix. The caller provides two operations: mul - matrix multiplies a DenseVector, and trans - matrix transpose.

    Mat

    Type of the input matrix of size n*m.

    MatTranspose

    Type of the transpose of input matrix of size m*n.

    mul

    Operation that multiples a matrix with a DenseVector. Example:

    implicit object Op_Mul_Mat_V extends OpMulMatrixDenseVector[UserMatrixType] {
  def apply(mt: UserMatrixType, iv: DenseVector[Double]) = {
    // return another DenseVector[Double] = mt * iv
  }
}
    trans

    Operator for transposing the matrix. Example:

    implicit object Op_Mat_Trans extends CanTranspose[UserMatrixType, UserMatrixTypeTranspose] {
  def apply(mt: UserMatrixType) = {
    // return a UserMatrixTypeTranspose which is the transpose of mt
  }
}
    mulTrans

    Operation that multiples a transposed matrix with a DenseVector. Example:

    // if UserMatrixType and UserMatrixTypeTranspose are actually the same type, you do not need this
implicit object Op_Mul_Mat_V extends OpMulMatrixDenseVector[UserMatrixTypeTranspose] {
  def apply(mtTrans: UserMatrixTypeTranspose, iv: DenseVector[Double]) = {
    // return another DenseVector[Double] = mtTrans * iv
  }
}
    returns

    Left singular vectors matrix of size n*k, singular value vector of length k, and transpose of right singular vectors matrix of size k*m.

  5. final def apply[V1, V2, V3, V4, VR](v1: V1, v2: V2, v3: V3, v4: V4)(implicit impl: Impl4[V1, V2, V3, V4, VR]): VR
    Definition Classes
    UFunc
  6. final def apply[V1, V2, V3, VR](v1: V1, v2: V2, v3: V3)(implicit impl: Impl3[V1, V2, V3, VR]): VR
    Definition Classes
    UFunc
  7. final def apply[V1, V2, VR](v1: V1, v2: V2)(implicit impl: Impl2[V1, V2, VR]): VR
    Definition Classes
    UFunc
  8. final def apply[V, VR](v: V)(implicit impl: Impl[V, VR]): VR
    Definition Classes
    UFunc
  9. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  10. implicit def canZipMapValuesImpl[T, V1, VR, U](implicit handhold: ScalarOf[T, V1], impl: Impl2[V1, V1, VR], canZipMapValues: CanZipMapValues[T, V1, VR, U]): Impl2[T, T, U]
    Definition Classes
    UFunc
  11. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  12. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  13. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  14. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  15. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
  16. def hashCode(): Int
    Definition Classes
    AnyRef → Any
  17. final def inPlace[V, V2, V3](v: V, v2: V2, v3: V3)(implicit impl: generic.UFunc.InPlaceImpl3[svd.this.type, V, V2, V3]): V
    Definition Classes
    UFunc
  18. final def inPlace[V, V2](v: V, v2: V2)(implicit impl: generic.UFunc.InPlaceImpl2[svd.this.type, V, V2]): V
    Definition Classes
    UFunc
  19. final def inPlace[V](v: V)(implicit impl: generic.UFunc.InPlaceImpl[svd.this.type, V]): V
    Definition Classes
    UFunc
  20. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  21. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  22. final def notify(): Unit
    Definition Classes
    AnyRef
  23. final def notifyAll(): Unit
    Definition Classes
    AnyRef
  24. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  25. def toString(): String
    Definition Classes
    AnyRef → Any
  26. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  27. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  28. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  29. final def withSink[S](s: S): WithSinkHelp[svd.this.type, S]
    Definition Classes
    UFunc
  30. implicit object Svd_DM_Impl extends Impl[DenseMatrix[Double], DenseSVD]
  31. implicit object Svd_DM_Impl_Float extends Impl[DenseMatrix[Float], SDenseSVD]
  32. implicit object Svd_SM_Impl extends Impl2[CSCMatrix[Double], Int, DenseSVD]
  33. object reduced extends UFunc

    Option for computing part of the M-by-N matrix U: The first min(M,N) columns of U and the first min(M,N) rows of V**T are returned in the arrays U and VT;

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