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.
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.
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 wherer >= 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 thank[1]
. - padding_value: The value to fill the area outside the specified diagonal band with. Default is 0.
Returns:
-
Output
: The extracted diagonal(s).
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
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