tensorflow::ops::MatrixBandPart

#include <array_ops.h>

Copy a tensor setting everything outside a central band in each innermost matrix.

Summary

to zero.

The band part is computed as follows: Assume input has k dimensions [I, J, K, ..., M, N], then the output is a tensor with the same shape where

band[i, j, k, ..., m, n] = in_band(m, n) * input[i, j, k, ..., m, n].

The indicator function

in_band(m, n) = (num_lower < 0 || (m-n) <= num_lower)) && (num_upper < 0 || (n-m) <= num_upper).

For example:

``` if 'input' is [[ 0, 1, 2, 3]

[-1, 0, 1, 2] [-2, -1, 0, 1] [-3, -2, -1, 0]],

tf.matrix_band_part(input, 1, -1) ==> [[ 0, 1, 2, 3] [-1, 0, 1, 2] [ 0, -1, 0, 1] [ 0, 0, -1, 0]],

tf.matrix_band_part(input, 2, 1) ==> [[ 0, 1, 0, 0] [-1, 0, 1, 0] [-2, -1, 0, 1] [ 0, -2, -1, 0]] ```

Useful special cases:

``` tf.matrix_band_part(input, 0, -1) ==> Upper triangular part. tf.matrix_band_part(input, -1, 0) ==> Lower triangular part. tf.matrix_band_part(input, 0, 0) ==> Diagonal. ```

Arguments:

  • scope: A Scope object
  • input: Rankk tensor.
  • num_lower: 0-D tensor. Number of subdiagonals to keep. If negative, keep entire lower triangle.
  • num_upper: 0-D tensor. Number of superdiagonals to keep. If negative, keep entire upper triangle.

Returns:

  • Output: Rankk tensor of the same shape as input. The extracted banded tensor.

Constructors and Destructors

MatrixBandPart(const ::tensorflow::Scope & scope, ::tensorflow::Input input, ::tensorflow::Input num_lower, ::tensorflow::Input num_upper)

Public attributes

band

Public functions

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

Public attributes

band

::tensorflow::Output band

Public functions

MatrixBandPart

 MatrixBandPart(
  const ::tensorflow::Scope & scope,
  ::tensorflow::Input input,
  ::tensorflow::Input num_lower,
  ::tensorflow::Input num_upper
)

node

::tensorflow::Node * node() const 

operator::tensorflow::Input

 operator::tensorflow::Input() const 

operator::tensorflow::Output

 operator::tensorflow::Output() const