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jax.lax.psum

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jax.lax.psum#

jax.lax.psum(x, axis_name, *, axis_index_groups=None)[source]#

Compute an all-reduce sum on x over the pmapped axis axis_name.

If x is a pytree then the result is equivalent to mapping this function to each leaf in the tree.

Inputs of boolean dtype are converted to integers before the reduction.

Parameters:

  • x – array(s) with a mapped axis named axis_name.

  • axis_name – hashable Python object used to name a pmapped axis (see the jax.pmap() documentation for more details).

  • axis_index_groups – optional list of lists containing axis indices (e.g. for an axis of size 4, [[0, 1], [2, 3]] would perform psums over the first two and last two replicas). Groups must cover all axis indices exactly once.

Returns:

Array(s) with the same shape as x representing the result of an all-reduce sum along the axis axis_name.

Examples

For example, with 4 XLA devices available:

>>> x = np.arange(4)
>>> y = jax.pmap(lambda x: jax.lax.psum(x, 'i'), axis_name='i')(x)
>>> print(y)
[6 6 6 6]
>>> y = jax.pmap(lambda x: x / jax.lax.psum(x, 'i'), axis_name='i')(x)
>>> print(y)
[0.         0.16666667 0.33333334 0.5       ]

Suppose we want to perform psum among two groups, one with device0 and device1, the other with device2 and device3,

>>> y = jax.pmap(lambda x: jax.lax.psum(x, 'i', axis_index_groups=[[0, 1], [2, 3]]), axis_name='i')(x)
>>> print(y)
[1 1 5 5]

An example using 2D-shaped x. Each row is data from one device.

>>> x = np.arange(16).reshape(4, 4)
>>> print(x)
[[ 0  1  2  3]
 [ 4  5  6  7]
 [ 8  9 10 11]
 [12 13 14 15]]

Full psum across all devices:

>>> y = jax.pmap(lambda x: jax.lax.psum(x, 'i'), axis_name='i')(x)
>>> print(y)
[[24 28 32 36]
 [24 28 32 36]
 [24 28 32 36]
 [24 28 32 36]]

Perform psum among two groups:

>>> y = jax.pmap(lambda x: jax.lax.psum(x, 'i', axis_index_groups=[[0, 1], [2, 3]]), axis_name='i')(x)
>>> print(y)
[[ 4  6  8 10]
 [ 4  6  8 10]
 [20 22 24 26]
 [20 22 24 26]]
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