# tf.sets.set_intersection

### Aliases:

• `tf.contrib.metrics.set_intersection`
• `tf.sets.set_intersection`
``````tf.sets.set_intersection(
a,
b,
validate_indices=True
)
``````

Defined in `tensorflow/python/ops/sets_impl.py`.

Compute set intersection of elements in last dimension of `a` and `b`.

All but the last dimension of `a` and `b` must match.

Example:

``````  import tensorflow as tf
import collections

# Represent the following array of sets as a sparse tensor:
# a = np.array([[{1, 2}, {3}], [{4}, {5, 6}]])
a = collections.OrderedDict([
((0, 0, 0), 1),
((0, 0, 1), 2),
((0, 1, 0), 3),
((1, 0, 0), 4),
((1, 1, 0), 5),
((1, 1, 1), 6),
])
a = tf.SparseTensor(list(a.keys()), list(a.values()), dense_shape=[2,2,2])

# b = np.array([[{1}, {}], [{4}, {5, 6, 7, 8}]])
b = collections.OrderedDict([
((0, 0, 0), 1),
((1, 0, 0), 4),
((1, 1, 0), 5),
((1, 1, 1), 6),
((1, 1, 2), 7),
((1, 1, 3), 8),
])
b = tf.SparseTensor(list(b.keys()), list(b.values()), dense_shape=[2, 2, 4])

# <a href="../../tf/sets/set_intersection"><code>tf.sets.set_intersection</code></a> is applied to each aligned pair of sets.
tf.sets.set_intersection(a, b)

# The result will be equivalent to either of:
#
# np.array([[{1}, {}], [{4}, {5, 6}]])
#
# collections.OrderedDict([
#     ((0, 0, 0), 1),
#     ((1, 0, 0), 4),
#     ((1, 1, 0), 5),
#     ((1, 1, 1), 6),
# ])
``````

#### Args:

• `a`: `Tensor` or `SparseTensor` of the same type as `b`. If sparse, indices must be sorted in row-major order.
• `b`: `Tensor` or `SparseTensor` of the same type as `a`. If sparse, indices must be sorted in row-major order.
• `validate_indices`: Whether to validate the order and range of sparse indices in `a` and `b`.

#### Returns:

A `SparseTensor` whose shape is the same rank as `a` and `b`, and all but the last dimension the same. Elements along the last dimension contain the intersections.