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jax.numpy.unique

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jax.numpy.unique#

jax.numpy.unique(ar, return_index=False, return_inverse=False, return_counts=False, axis=None, *, equal_nan=True, size=None, fill_value=None)[source]#

Return the unique values from an array.

JAX implementation of jax.numpy.unique().

Because the size of the output of unique is data-dependent, the function semantics are not typically compatible with jit() and other JAX transformations. The JAX version adds the optional size argument which must be specified statically for jnp.unique to be used in such contexts.

Parameters:

  • ar (ArrayLike) – N-dimensional array from which unique values will be extracted.

  • return_index (bool) – if True, also return the indices in ar where each value occurs

  • return_inverse (bool) – if True, also return the indices that can be used to reconstruct ar from the unique values.

  • return_counts (bool) – if True, also return the number of occurances of each unique value.

  • axis (int | None) – if specified, compute unique values along the specified axis. If None (default), then flatten ar before computing the unique values.

  • equal_nan (bool) – if True, consider NaN values equivalent when determining uniqueness.

  • size (int | None) – if specified, return only the first size sorted unique elements. If there are fewer unique elements than size indicates, the return value will be padded with fill_value.

  • fill_value (ArrayLike | None) – when size is specified and there are fewer than the indicated number of elements, fill the remaining entries fill_value. Defaults to the minimum unique value.

Returns:

An array or tuple of arrays, depending on the values of return_index, return_inverse, and return_counts. Returned values are

  • unique_values:

    if axis is None, a 1D array of length n_unique, If axis is specified, shape is (*ar.shape[:axis], n_unique, *ar.shape[axis + 1:]).

  • unique_index:

    (returned only if return_index is True) An array of shape (n_unique,). Contains the indices of the first occurance of each unique value in ar. For 1D inputs, ar[unique_index] is equivlent to unique_values.

  • unique_inverse:

    (returned only if return_inverse is True) An array of shape (ar.size,) if axis is None, or of shape (1, 1, ..., ar.shape[axis], 1, ... 1) if axis is specified. Contains the indices within unique_values of each value in ar. For 1D inputs, unique_values[unique_inverse] is equivalent to ar.

  • unique_counts:

    (returned only if return_counts is True) An array of shape (n_unique,). Contains the number of occurances of each unique value in ar.

See also

Examples

>>> x = jnp.array([3, 4, 1, 3, 1])
>>> jnp.unique(x)
Array([1, 3, 4], dtype=int32)

JIT compilation & the size argument

If you try this under jit() or another transformation, you will get an error because the output shape is dynamic:

>>> jax.jit(jnp.unique)(x)  
Traceback (most recent call last):
   ...
jax.errors.ConcretizationTypeError: Abstract tracer value encountered where concrete value is expected: traced array with shape int32[5].
The error arose for the first argument of jnp.unique(). To make jnp.unique() compatible with JIT and other transforms, you can specify a concrete value for the size argument, which will determine the output size.

The issue is that the output of transformed functions must have static shapes. In order to make this work, you can pass a static size parameter:

>>> jit_unique = jax.jit(jnp.unique, static_argnames=['size'])
>>> jit_unique(x, size=3)
Array([1, 3, 4], dtype=int32)

If your static size is smaller than the true number of unique values, they will be truncated.

>>> jit_unique(x, size=2)
Array([1, 3], dtype=int32)

If the static size is larger than the true number of unique values, they will be padded with fill_value, which defaults to the minimum unique value:

>>> jit_unique(x, size=5)
Array([1, 3, 4, 1, 1], dtype=int32)
>>> jit_unique(x, size=5, fill_value=0)
Array([1, 3, 4, 0, 0], dtype=int32)

Multi-dimensional unique values

If you pass a multi-dimensional array to unique, it will be flattened by default:

>>> M = jnp.array([[1, 2],
...                [2, 3],
...                [1, 2]])
>>> jnp.unique(M)
Array([1, 2, 3], dtype=int32)

If you pass an axis keyword, you can find unique slices of the array along that axis:

>>> jnp.unique(M, axis=0)
Array([[1, 2],
       [2, 3]], dtype=int32)

Returning indices

If you set return_index=True, then unique returns the indices of the first occurance of each unique value:

>>> x = jnp.array([3, 4, 1, 3, 1])
>>> values, indices = jnp.unique(x, return_index=True)
>>> print(values)
[1 3 4]
>>> print(indices)
[2 0 1]
>>> jnp.all(values == x[indices])
Array(True, dtype=bool)

In multiple dimensions, the unique values can be extracted with jax.numpy.take() evaluated along the specified axis:

>>> values, indices = jnp.unique(M, axis=0, return_index=True)
>>> jnp.all(values == jnp.take(M, indices, axis=0))
Array(True, dtype=bool)

Returning inverse

If you set return_inverse=True, then unique returns the indices within the unique values for every entry in the input array:

>>> x = jnp.array([3, 4, 1, 3, 1])
>>> values, inverse = jnp.unique(x, return_inverse=True)
>>> print(values)
[1 3 4]
>>> print(inverse)
[1 2 0 1 0]
>>> jnp.all(values[inverse] == x)
Array(True, dtype=bool)

In multiple dimensions, the input can be reconstructed using jax.numpy.take_along_axis():

>>> values, inverse = jnp.unique(M, axis=0, return_inverse=True)
>>> jnp.all(jnp.take_along_axis(values, inverse, axis=0) == M)
Array(True, dtype=bool)

Returning counts

If you set return_counts=True, then unique returns the number of occurances within the input for every unique value:

>>> x = jnp.array([3, 4, 1, 3, 1])
>>> values, counts = jnp.unique(x, return_counts=True)
>>> print(values)
[1 3 4]
>>> print(counts)
[2 2 1]

For multi-dimensional arrays, this also returns a 1D array of counts indicating number of occurances along the specified axis:

>>> values, counts = jnp.unique(M, axis=0, return_counts=True)
>>> print(values)
[[1 2]
 [2 3]]
>>> print(counts)
[2 1]
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