Tensorflow has a function called batch_matmul which multiplies higher dimensional tensors. But I\'m having a hard time understanding how it works, perhaps partially because
tf.tensordot should solve this problem. It supports batch operations, e.g., if you want to contract a 2D tensor with a 3D tensor, with the latter having a batch dimension.
If a is shape [n,m] b is shape [?,m,l], then
y = tf.tensordot(b, a, axes=[1, 1]) will produce a tensor of shape [?,n,l]
https://www.tensorflow.org/api_docs/python/tf/tensordot