tf.math.cumsum

Compute the cumulative sum of the tensor x along axis.

Used in the notebooks

Used in the guide

By default, this op performs an inclusive cumsum, which means that the first element of the input is identical to the first element of the output: For example:

# tf.cumsum([a, b, c])   # [a, a + b, a + b + c]
x = tf.constant([2, 4, 6, 8])
tf.cumsum(x)
<tf.Tensor: shape=(4,), dtype=int32,
numpy=array([ 2,  6, 12, 20], dtype=int32)>
# using varying `axis` values
y = tf.constant([[2, 4, 6, 8], [1,3,5,7]])
tf.cumsum(y, axis=0)
<tf.Tensor: shape=(2, 4), dtype=int32, numpy=
array([[ 2,  4,  6,  8],
       [ 3,  7, 11, 15]], dtype=int32)>
tf.cumsum(y, axis=1)
<tf.Tensor: shape=(2, 4), dtype=int32, numpy=
array([[ 2,  6, 12, 20],
       [ 1,  4,  9, 16]], dtype=int32)>

By setting the exclusive kwarg to True, an exclusive cumsum is performed instead:

# tf.cumsum([a, b, c], exclusive=True)  => [0, a, a + b]
x = tf.constant([2, 4, 6, 8])
tf.cumsum(x, exclusive=True)
<tf.Tensor: shape=(4,), dtype=int32,
numpy=array([ 0,  2,  6, 12], dtype=int32)>

By setting the reverse kwarg to True, the cumsum is performed in the opposite direction:

# tf.cumsum([a, b, c], reverse=True)  # [a + b + c, b + c, c]
x = tf.constant([2, 4, 6, 8])
tf.cumsum(x, reverse=True)
<tf.Tensor: shape=(4,), dtype=int32,
numpy=array([20, 18, 14,  8], dtype=int32)>

This is more efficient than using separate tf.reverse ops. The reverse and exclusive kwargs can also be combined:

# tf.cumsum([a, b, c], exclusive=True, reverse=True)  # [b + c, c, 0]
x = tf.constant([2, 4, 6, 8])
tf.cumsum(x, exclusive=True, reverse=True)
<tf.Tensor: shape=(4,), dtype=int32,
numpy=array([18, 14,  8,  0], dtype=int32)>

x A Tensor. Must be one of the following types: float32, float64, int64, int32, uint8, uint16, int16, int8, complex64, complex128, qint8, quint8, qint32, half.
axis A Tensor of type int32 (default: 0). Must be in the range [-rank(x), rank(x)).
exclusive If True, perform exclusive cumsum.
reverse A bool (default: False).
name A name for the operation (optional).

A Tensor. Has the same type as x.