テンソルフロー::作戦:: MatrixDiagPartV3

#include <array_ops.h>

バッチ化されたテンソルのバッチ化された対角部分を返します。

まとめ

バッチ化されたinputのk[0]番目からk[1]番目の対角を持つテンソルを返します。

input次元がrであると仮定します[I, J, ..., L, M, N] 。 max_diag_lenを抽出するすべての対角線の最大長とします。 max_diag_len = min(M + min(k[1], 0), N + min(-k[0], 0)) num_diagsを抽出する対角線の数とします。抽出、 num_diags = k[1] - k[0] + 1 。

num_diags == 1の場合、出力テンソルはランクr - 1で、形状[I, J, ..., L, max_diag_len]と値: 

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.
ここで、 y = max(-k[1], 0) 、 x = max(k[1], 0)です。

それ以外の場合、出力テンソルはランクrを持ち、次元[I, J, ..., L, num_diags, max_diag_len]の値を持ちます。 

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.
ここで、 d = k[1] - m 、 y = max(-d, 0) - offset 、およびx = max(d, 0) - offset 。

対角線が右に配置されている場合を除き、 offsetはゼロです。

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
ここでdiag_len(d) = min(cols - max(d, 0), rows + min(d, 0)) 。

入力は少なくとも行列である必要があります。

例えば： 

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
      

        
      





        operation
      

        
      




                                                                              




        
Public functions

      		





        node() const 
      

        

          ::tensorflow::Node *
        

      		





        operator::tensorflow::Input() const 
      

        

          
        

      		





        operator::tensorflow::Output() const 
      

        

          
        

      		




                                      




        
Public static functions

      		





        Align(StringPiece x)
      

        
      




                                      




        
Structs

      		





        tensorflow::ops::MatrixDiagPartV3::Attrs
      

        
Optional attribute setters for MatrixDiagPartV3. 

      		




  
Public attributes

  

    
diagonal

    
::tensorflow::Output diagonal
手術
Operation operation
公共機能
 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
)
ノード
::tensorflow::Node * node() const 
演算子::tensorflow::入力
 operator::tensorflow::Input() const 
演算子::tensorflow::出力
 operator::tensorflow::Output() const 
パブリック静的関数
整列
Attrs Align(
  StringPiece x
)