텐서플로우:: 작전:: MatrixDiagPartV3

#include <array_ops.h>

배치 텐서의 배치 대각선 부분을 반환합니다.

요약

일괄 처리된 input 의 k[0] 번째부터 k[1] 번째 대각선까지의 텐서를 반환합니다.

input r 차원 [I, J, ..., L, M, N] 이 있다고 가정합니다. max_diag_len 추출할 모든 대각선 중 최대 길이로 설정하고, max_diag_len = min(M + min(k[1], 0), N + min(-k[0], 0)) num_diags 추출할 대각선의 개수로 설정합니다. 추출, num_diags = k[1] - k[0] + 1 .

num_diags == 1 인 경우 출력 텐서는 [I, J, ..., L, max_diag_len] 모양과 값을 갖는 r - 1 순위입니다.

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

그렇지 않은 경우 출력 텐서는 차원 [I, J, ..., L, num_diags, max_diag_len] 및 값: r 순위를 가집니다.

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

대각선 정렬이 오른쪽인 경우를 제외하고 offset 은 0입니다. 

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

입력은 최소한 행렬이어야 합니다.

예를 들어: 

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
 작업 
 
Operation operation
 공공 기능 
 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
)
 마디 
 
::tensorflow::Node * node() const 
 연산자::텐서플로우::입력 
 
 operator::tensorflow::Input() const 
 연산자::텐서플로우::출력 
 
 operator::tensorflow::Output() const 
 공개 정적 함수 
 맞추다
 
Attrs Align(
  StringPiece x
)