tensoreflusso:: ops:: MatrixDiagPartV3

#include <array_ops.h>

Restituisce la parte diagonale in batch di un tensore in batch.

Riepilogo

Restituisce un tensore con le diagonali k[0] -esima a k[1] -esima input batch.

Supponiamo che input abbia r dimensioni [I, J, ..., L, M, N] . Sia max_diag_len la lunghezza massima tra tutte le diagonali da estrarre, max_diag_len = min(M + min(k[1], 0), N + min(-k[0], 0)) Sia num_diags il numero di diagonali da estrarre estratto, num_diags = k[1] - k[0] + 1 .

Se num_diags == 1 , il tensore di output è di rango r - 1 con forma [I, J, ..., L, max_diag_len] e valori:

diagonal[i, j, ..., l, n]
  = input[i, j, ..., l, n+y, n+x] ; if 0 <= n+y < M and 0 <= n+x < N,
    padding_value                 ; otherwise.

dove y = max(-k[1], 0) , x = max(k[1], 0) .

Altrimenti, il tensore di output ha rango r con dimensioni [I, J, ..., L, num_diags, max_diag_len] con valori:

diagonal[i, j, ..., l, m, n]
  = input[i, j, ..., l, n+y, n+x] ; if 0 <= n+y < M and 0 <= n+x < N,
    padding_value                 ; otherwise.

dove d = k[1] - m , y = max(-d, 0) - offset e x = max(d, 0) - offset .

offset è zero tranne quando l'allineamento della diagonale è a destra.

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

dove diag_len(d) = min(cols - max(d, 0), rows + min(d, 0)) .

L'input deve essere almeno una matrice.

Per esempio:

input = np.array([[[1, 2, 3, 4],  # Input shape: (2, 3, 4)
                   [5, 6, 7, 8],
                   [9, 8, 7, 6]],
                  [[5, 4, 3, 2],
                   [1, 2, 3, 4],
                   [5, 6, 7, 8]]])

# A main diagonal from each batch.
tf.matrix_diag_part(input) ==> [[1, 6, 7],  # Output shape: (2, 3)
                                [5, 2, 7]]

# A superdiagonal from each batch.
tf.matrix_diag_part(input, k = 1)
  ==> [[2, 7, 6],  # Output shape: (2, 3)
       [4, 3, 8]]

# A band from each batch.
tf.matrix_diag_part(input, k = (-1, 2))
  ==> [[[0, 3, 8],  # Output shape: (2, 4, 3)
        [2, 7, 6],
        [1, 6, 7],
        [5, 8, 0]],
       [[0, 3, 4],
        [4, 3, 8],
        [5, 2, 7],
        [1, 6, 0]]]

# LEFT_RIGHT alignment.
tf.matrix_diag_part(input, k = (-1, 2), align="LEFT_RIGHT")
  ==> [[[3, 8, 0],  # Output shape: (2, 4, 3)
        [2, 7, 6],
        [1, 6, 7],
        [0, 5, 8]],
       [[3, 4, 0],
        [4, 3, 8],
        [5, 2, 7],
        [0, 1, 6]]]

# max_diag_len can be shorter than the main diagonal.
tf.matrix_diag_part(input, k = (-2, -1))
  ==> [[[5, 8],
        [9, 0]],
       [[1, 6],
        [5, 0]]]

# padding_value = 9
tf.matrix_diag_part(input, k = (1, 3), padding_value = 9)
  ==> [[[9, 9, 4],  # Output shape: (2, 3, 3)
        [9, 3, 8],
        [2, 7, 6]],
       [[9, 9, 2],
        [9, 3, 4],
        [4, 3, 8]]]

  

  
Arguments:

      
scope: A Scope object
      
input: Rank r tensor where r >= 2.
      
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].
      
padding_value: The value 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: The extracted diagonal(s). 
    

  

    

      

        
Constructors and Destructors
      
    
    

      

        MatrixDiagPartV3(const ::tensorflow::Scope & scope, ::tensorflow::Input input, ::tensorflow::Input k, ::tensorflow::Input padding_value)
        

      
    
    

      

        MatrixDiagPartV3(const ::tensorflow::Scope & scope, ::tensorflow::Input input, ::tensorflow::Input k, ::tensorflow::Input padding_value, const MatrixDiagPartV3::Attrs & attrs)
        

      
    
  
  

    

      

        
Public attributes
      
    
    

      

        diagonal
      
      

        

          ::tensorflow::Output
        
      
    
    

      

        operation
      
      

        

          Operation
        
      
    
  
  

    

      

        
Public functions
      
    
    

      

        node() const 
      
      

        

          ::tensorflow::Node *
        
      
    
    

      

        operator::tensorflow::Input() const 
      
      

        

          
        

      
    
    

      

        operator::tensorflow::Output() const 
      
      

        

          
        

      
    
  
  

    

      

        
Public static functions
      
    
    

      

        Align(StringPiece x)
      
      

        

          Attrs
        
      
    
  
  

    

      

        
Structs
      
    
    

      

        tensorflow::ops::MatrixDiagPartV3::Attrs
      
      

        
Optional attribute setters for MatrixDiagPartV3. 
      
    
  
  
Public attributes
  

    
diagonal
    
::tensorflow::Output diagonal
 operazione 
 
Operation operation
 Funzioni pubbliche 
 MatrixDiagPartV3 
 
 MatrixDiagPartV3(
  const ::tensorflow::Scope & scope,
  ::tensorflow::Input input,
  ::tensorflow::Input k,
  ::tensorflow::Input padding_value
)
 MatrixDiagPartV3 
 
 MatrixDiagPartV3(
  const ::tensorflow::Scope & scope,
  ::tensorflow::Input input,
  ::tensorflow::Input k,
  ::tensorflow::Input padding_value,
  const MatrixDiagPartV3::Attrs & attrs
)
 nodo 
 
::tensorflow::Node * node() const 
 operatore::tensorflow::Input 
 
 operator::tensorflow::Input() const 
 operatore::tensorflow::Output 
 
 operator::tensorflow::Output() const 
 Funzioni pubbliche statiche 
 Allineare
 
Attrs Align(
  StringPiece x
)