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Dot class

keras.layers.Dot(axes, normalize=False, **kwargs)

Computes element-wise dot product of two tensors.

It takes a list of inputs of size 2, and the axes corresponding to each input along with the dot product is to be performed.

Let's say x and y are the two input tensors with shapes (2, 3, 5) and (2, 10, 3). The batch dimension should be of same size for both the inputs, and axes should correspond to the dimensions that have the same size in the corresponding inputs. e.g. with axes=(1, 2), the dot product of x, and y will result in a tensor with shape (2, 5, 10)

Example

>>> x = np.arange(10).reshape(1, 5, 2)
>>> y = np.arange(10, 20).reshape(1, 2, 5)
>>> keras.layers.Dot(axes=(1, 2))([x, y])

Usage in a Keras model:

>>> x1 = keras.layers.Dense(8)(np.arange(10).reshape(5, 2))
>>> x2 = keras.layers.Dense(8)(np.arange(10, 20).reshape(5, 2))
>>> y = keras.layers.Dot(axes=1)([x1, x2])

Arguments

• axes: Integer or tuple of integers, axis or axes along which to take the dot product. If a tuple, should be two integers corresponding to the desired axis from the first input and the desired axis from the second input, respectively. Note that the size of the two selected axes must match, and that axis 0 (the batch axis) cannot be included.
• normalize: Whether to L2-normalize samples along the dot product axis before taking the dot product. If set to True, then the output of the dot product is the cosine proximity between the two samples.
• **kwargs: Standard layer keyword arguments.

Returns

A tensor, the dot product of the samples from the inputs.