99 lines
2.4 KiB
Python
99 lines
2.4 KiB
Python
"""Utilities for tf NN package"""
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# pylint: disable=no-member, invalid-name
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import tensorflow as tf
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from tensorflow.keras import layers # pylint: disable=W0235
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def matmul_maybe_select(A, B):
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"""Perform Matrix multiplication C = A * B but A could be an integer id vector.
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If A is an integer vector, we treat it as multiplying a one-hot encoded tensor.
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In this case, the expensive dense matrix multiply can be replaced by a much
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cheaper index lookup.
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For example,
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::
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A = [2, 0, 1],
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B = [[0.1, 0.2],
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[0.3, 0.4],
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[0.5, 0.6]]
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then matmul_maybe_select(A, B) is equivalent to
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::
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[[0, 0, 1], [[0.1, 0.2],
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[1, 0, 0], * [0.3, 0.4],
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[0, 1, 0]] [0.5, 0.6]]
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In all other cases, perform a normal matmul.
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Parameters
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----------
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A : tf.Tensor
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lhs tensor
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B : tf.Tensor
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rhs tensor
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Returns
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-------
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C : tf.Tensor
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result tensor
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"""
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if A.dtype == tf.int64 and len(A.shape) == 1:
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return tf.gather(B, A)
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else:
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return tf.matmul(A, B)
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def bmm_maybe_select(A, B, index):
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"""Slice submatrices of A by the given index and perform bmm.
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B is a 3D tensor of shape (N, D1, D2), which can be viewed as a stack of
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N matrices of shape (D1, D2). The input index is an integer vector of length M.
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A could be either:
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(1) a dense tensor of shape (M, D1),
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(2) an integer vector of length M.
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The result C is a 2D matrix of shape (M, D2)
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For case (1), C is computed by bmm:
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::
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C[i, :] = matmul(A[i, :], B[index[i], :, :])
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For case (2), C is computed by index select:
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::
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C[i, :] = B[index[i], A[i], :]
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Parameters
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----------
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A : tf.Tensor
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lhs tensor
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B : tf.Tensor
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rhs tensor
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index : tf.Tensor
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index tensor
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Returns
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-------
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C : tf.Tensor
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return tensor
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"""
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if A.dtype == tf.int64 and len(A.shape) == 1:
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# following is a faster version of B[index, A, :]
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B = tf.reshape(B, (-1, B.shape[2]))
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flatidx = index * B.shape[1] + A
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return tf.gather(B, flatidx)
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else:
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BB = tf.gather(B, index)
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return tf.squeeze(tf.matmul(tf.expand_dims(A, 1), BB), 1)
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class Identity(layers.Layer):
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"""A placeholder identity operator that is argument-insensitive."""
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def call(self, x):
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"""Return input"""
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return x
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