tensorflow:: ops:: MatrixDiagPartV2

#include <array_ops.h>

Returns the batched diagonal part of a batched tensor.

Summary

Returns a tensor with the k[0] -th to k[1] -th diagonals of the batched input .

Assume input has r dimensions [I, J, ..., L, M, N] . Let max_diag_len be the maximum length among all diagonals to be extracted, max_diag_len = min(M + min(k[1], 0), N + min(-k[0], 0)) Let num_diags be the number of diagonals to extract, num_diags = k[1] - k[0] + 1 .

If num_diags == 1 , the output tensor is of rank r - 1 with shape [I, J, ..., L, max_diag_len] and values: 

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

Otherwise, the output tensor has rank r with dimensions [I, J, ..., L, num_diags, max_diag_len] with values: 

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

The input must be at least a matrix.

For example: 

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

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

Args:

  • 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.

Returns:

Constructors and Destructors

MatrixDiagPartV2 (const :: tensorflow::Scope & scope, :: tensorflow::Input input, :: tensorflow::Input k, :: tensorflow::Input padding_value)

Public attributes

diagonal
operation

Public functions

node () const
::tensorflow::Node *
operator::tensorflow::Input () const
operator::tensorflow::Output () const

Public attributes

diagonal 

::tensorflow::Output diagonal

operation 

Operation operation

Public functions

MatrixDiagPartV2 

 MatrixDiagPartV2(
  const ::tensorflow::Scope & scope,
  ::tensorflow::Input input,
  ::tensorflow::Input k,
  ::tensorflow::Input padding_value
)

node 

::tensorflow::Node * node() const

operator::tensorflow::Input 

 operator::tensorflow::Input() const

operator::tensorflow::Output 

 operator::tensorflow::Output() const