tf.linalg.normalize
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Normalizes tensor
along dimension axis
using specified norm.
tf.linalg.normalize( tensor, ord='euclidean', axis=None, name=None )
This uses tf.linalg.norm
to compute the norm along axis
.
This function can compute several different vector norms (the 1-norm, the Euclidean or 2-norm, the inf-norm, and in general the p-norm for p > 0) and matrix norms (Frobenius, 1-norm, 2-norm and inf-norm).
Args | |
---|---|
tensor | Tensor of types float32 , float64 , complex64 , complex128 |
ord | Order of the norm. Supported values are 'fro' , 'euclidean' , 1 , 2 , np.inf and any positive real number yielding the corresponding p-norm. Default is 'euclidean' which is equivalent to Frobenius norm if tensor is a matrix and equivalent to 2-norm for vectors. Some restrictions apply: a) The Frobenius norm 'fro' is not defined for vectors, b) If axis is a 2-tuple (matrix norm), only 'euclidean' , 'fro' , 1 , 2 , np.inf are supported. See the description of axis on how to compute norms for a batch of vectors or matrices stored in a tensor. |
axis | If axis is None (the default), the input is considered a vector and a single vector norm is computed over the entire set of values in the tensor, i.e. norm(tensor, ord=ord) is equivalent to norm(reshape(tensor, [-1]), ord=ord) . If axis is a Python integer, the input is considered a batch of vectors, and axis determines the axis in tensor over which to compute vector norms. If axis is a 2-tuple of Python integers it is considered a batch of matrices and axis determines the axes in tensor over which to compute a matrix norm. Negative indices are supported. Example: If you are passing a tensor that can be either a matrix or a batch of matrices at runtime, pass axis=[-2,-1] instead of axis=None to make sure that matrix norms are computed. |
name | The name of the op. |
Returns | |
---|---|
normalized | A normalized Tensor with the same shape as tensor . |
norm | The computed norms with the same shape and dtype tensor but the final axis is 1 instead. Same as running tf.cast(tf.linalg.norm(tensor, ord, axis keepdims=True), tensor.dtype) . |
Raises | |
---|---|
ValueError | If ord or axis is invalid. |
© 2020 The TensorFlow Authors. All rights reserved.
Licensed under the Creative Commons Attribution License 3.0.
Code samples licensed under the Apache 2.0 License.
https://www.tensorflow.org/versions/r2.4/api_docs/python/tf/linalg/normalize