aliran tensor:: operasi:: MatriksDiagV3

#include <array_ops.h>

Mengembalikan tensor diagonal kumpulan dengan nilai diagonal kumpulan tertentu.

Ringkasan

Mengembalikan tensor dengan konten diagonal sebagai k[0] -th hingga k[1] -th diagonal dari sebuah matriks, dengan semua yang lain diisi dengan padding . num_rows dan num_cols menentukan dimensi matriks keluaran terdalam. Jika keduanya tidak ditentukan, op mengasumsikan matriks terdalam berbentuk persegi dan menyimpulkan ukurannya dari k dan dimensi diagonal terdalam. Jika hanya salah satu saja yang ditentukan, operasi mengasumsikan nilai yang tidak ditentukan adalah yang terkecil berdasarkan kriteria lain.

Misalkan diagonal mempunyai r dimensi [I, J, ..., L, M, N] . Tensor keluaran memiliki peringkat r+1 dengan bentuk [I, J, ..., L, M, num_rows, num_cols] ketika hanya satu diagonal yang diberikan ( k adalah bilangan bulat atau k[0] == k[1] ) . Jika tidak, ia memiliki peringkat r dengan bentuk [I, J, ..., L, num_rows, num_cols] .

Dimensi diagonal terdalam kedua mempunyai arti ganda. Jika k adalah skalar atau k[0] == k[1] , M adalah bagian dari ukuran kumpulan [I, J, ..., M], dan tensor keluarannya adalah:

output[i, j, ..., l, m, n]
  = diagonal[i, j, ..., l, n-max(d_upper, 0)] ; if n - m == d_upper
    padding_value                             ; otherwise

Jika tidak, M diperlakukan sebagai jumlah diagonal untuk matriks dalam kumpulan yang sama ( M = k[1]-k[0]+1 ), dan tensor keluarannya adalah:

output[i, j, ..., l, m, n]
  = diagonal[i, j, ..., l, diag_index, index_in_diag] ; if k[0] <= d <= k[1]
    padding_value                                     ; otherwise
 di mana d = n - m , diag_index = [k] - d , dan index_in_diag = n - max(d, 0) + offset .

offset nol kecuali jika garis diagonalnya ke kanan. 

offset = max_diag_len - diag_len(d) ; if (`align` in {RIGHT_LEFT, RIGHT_RIGHT}
                                           and `d >= 0`) or
                                         (`align` in {LEFT_RIGHT, RIGHT_RIGHT}
                                           and `d <= 0`)
         0                          ; otherwise
 di mana diag_len(d) = min(cols - max(d, 0), rows + min(d, 0)) .

Misalnya: 

# The main diagonal.
diagonal = np.array([[1, 2, 3, 4],            # Input shape: (2, 4)
                     [5, 6, 7, 8]])
tf.matrix_diag(diagonal) ==> [[[1, 0, 0, 0],  # Output shape: (2, 4, 4)
                               [0, 2, 0, 0],
                               [0, 0, 3, 0],
                               [0, 0, 0, 4]],
                              [[5, 0, 0, 0],
                               [0, 6, 0, 0],
                               [0, 0, 7, 0],
                               [0, 0, 0, 8]]]

# A superdiagonal (per batch).
diagonal = np.array([[1, 2, 3],  # Input shape: (2, 3)
                     [4, 5, 6]])
tf.matrix_diag(diagonal, k = 1)
  ==> [[[0, 1, 0, 0],  # Output shape: (2, 4, 4)
        [0, 0, 2, 0],
        [0, 0, 0, 3],
        [0, 0, 0, 0]],
       [[0, 4, 0, 0],
        [0, 0, 5, 0],
        [0, 0, 0, 6],
        [0, 0, 0, 0]]]

# A tridiagonal band (per batch).
diagonals = np.array([[[0, 8, 9],  # Input shape: (2, 2, 3)
                       [1, 2, 3],
                       [4, 5, 0]],
                      [[0, 2, 3],
                       [6, 7, 9],
                       [9, 1, 0]]])
tf.matrix_diag(diagonals, k = (-1, 1))
  ==> [[[1, 8, 0],  # Output shape: (2, 3, 3)
        [4, 2, 9],
        [0, 5, 3]],
       [[6, 2, 0],
        [9, 7, 3],
        [0, 1, 9]]]

# LEFT_RIGHT alignment.
diagonals = np.array([[[8, 9, 0],  # Input shape: (2, 2, 3)
                       [1, 2, 3],
                       [0, 4, 5]],
                      [[2, 3, 0],
                       [6, 7, 9],
                       [0, 9, 1]]])
tf.matrix_diag(diagonals, k = (-1, 1), align="LEFT_RIGHT")
  ==> [[[1, 8, 0],  # Output shape: (2, 3, 3)
        [4, 2, 9],
        [0, 5, 3]],
       [[6, 2, 0],
        [9, 7, 3],
        [0, 1, 9]]]

# Rectangular matrix.
diagonal = np.array([1, 2])  # Input shape: (2)
tf.matrix_diag(diagonal, k = -1, num_rows = 3, num_cols = 4)
  ==> [[0, 0, 0, 0],  # Output shape: (3, 4)
       [1, 0, 0, 0],
       [0, 2, 0, 0]]

# Rectangular matrix with inferred num_cols and padding_value = 9.
tf.matrix_diag(diagonal, k = -1, num_rows = 3, padding_value = 9)
  ==> [[9, 9],  # Output shape: (3, 2)
       [1, 9],
       [9, 2]]

  

  
Arguments:

          
  • scope: A Scope object

    •       
  • diagonal: Rank r, where r >= 1

    •       
  • k: Diagonal offset(s). Positive value means superdiagonal, 0 refers to the main diagonal, and negative value means subdiagonals. k can be a single integer (for a single diagonal) or a pair of integers specifying the low and high ends of a matrix band. k[0] must not be larger than k[1].

    •       
  • num_rows: The number of rows of the output matrix. If it is not provided, the op assumes the output matrix is a square matrix and infers the matrix size from k and the innermost dimension of diagonal.

    •       
  • num_cols: The number of columns of the output matrix. If it is not provided, the op assumes the output matrix is a square matrix and infers the matrix size from k and the innermost dimension of diagonal.

    •       
  • padding_value: The number to fill the area outside the specified diagonal band with. Default is 0.

    •     

  
Optional attributes (see Attrs):

          
  • align: Some diagonals are shorter than max_diag_len and need to be padded. align is a string specifying how superdiagonals and subdiagonals should be aligned, respectively. There are four possible alignments: "RIGHT_LEFT" (default), "LEFT_RIGHT", "LEFT_LEFT", and "RIGHT_RIGHT". "RIGHT_LEFT" aligns superdiagonals to the right (left-pads the row) and subdiagonals to the left (right-pads the row). It is the packing format LAPACK uses. cuSPARSE uses "LEFT_RIGHT", which is the opposite alignment.

    •     

  
Returns:

          
  • Output: Has rank r+1 when k is an integer or k[0] == k[1], rank r otherwise. 

    •     

  
    
      
    
    
      
    
    
      
    
  

        
Constructors and Destructors

      

        MatrixDiagV3(const ::tensorflow::Scope & scope, ::tensorflow::Input diagonal, ::tensorflow::Input k, ::tensorflow::Input num_rows, ::tensorflow::Input num_cols, ::tensorflow::Input padding_value)
        

      

        MatrixDiagV3(const ::tensorflow::Scope & scope, ::tensorflow::Input diagonal, ::tensorflow::Input k, ::tensorflow::Input num_rows, ::tensorflow::Input num_cols, ::tensorflow::Input padding_value, const MatrixDiagV3::Attrs & attrs)
        

      

  
    
      
    
    
      
      
    
    
      
      
    
  

        
Public attributes

      

        operation
      
        

          Operation
        

      

        output
      
        

          ::tensorflow::Output
        

      

  
    
      
    
    
      
      
    
    
      
      
    
    
      
      
    
  

        
Public functions

      

        node() const 
      
        

          ::tensorflow::Node *
        

      

        operator::tensorflow::Input() const 
      
        

          
        

      

        operator::tensorflow::Output() const 
      
        

          
        

      

  
    
      
    
    
      
      
    
  

        
Public static functions

      

        Align(StringPiece x)
      
        

          Attrs
        

      

  
    
      
    
    
      
      
    
  

        
Structs

      

        tensorflow::ops::MatrixDiagV3::Attrs
      
        
Optional attribute setters for MatrixDiagV3. 

      

  
Public attributes

  

    
operation

    
 keluaran 
 
 Fungsi publik 
 MatriksDiagV3 
 
 MatriksDiagV3 
 
 simpul 
 
 operator::tensorflow::Masukan 
 
 operator::tensorflow::Keluaran 
 
 Fungsi statis publik 
 Meluruskan