# Copyright (c) 2022 PaddlePaddle Authors. All Rights Reserved. # # Licensed under the Apache License, Version 2.0 (the "License"); # you may not use this file except in compliance with the License. # You may obtain a copy of the License at # # http://www.apache.org/licenses/LICENSE-2.0 # # Unless required by applicable law or agreed to in writing, software # distributed under the License is distributed on an "AS IS" BASIS, # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. # See the License for the specific language governing permissions and # limitations under the License. from .. import Layer from .. import functional as F __all__ = [] class PairwiseDistance(Layer): r""" It computes the pairwise distance between two vectors. The distance is calculated by p-oreder norm: .. math:: \Vert x \Vert _p = \left( \sum_{i=1}^n \vert x_i \vert ^ p \right) ^ {1/p}. Parameters: p (float, optional): The order of norm. Default: :math:`2.0`. epsilon (float, optional): Add small value to avoid division by zero. Default: :math:`1e-6`. keepdim (bool, optional): Whether to reserve the reduced dimension in the output Tensor. The result tensor is one dimension less than the result of ``|x-y|`` unless :attr:`keepdim` is True. Default: False. name (str, optional): For details, please refer to :ref:`api_guide_Name`. Generally, no setting is required. Default: None. Shape: - x: :math:`[N, D]` or :math:`[D]`, where :math:`N` is batch size, :math:`D` is the dimension of the data. Available data type is float32, float64. - y: :math:`[N, D]` or :math:`[D]`, y have the same dtype as x. - output: The same dtype as input tensor. - If :attr:`keepdim` is True, the output shape is :math:`[N, 1]` or :math:`[1]`, depending on whether the input has data shaped as :math:`[N, D]`. - If :attr:`keepdim` is False, the output shape is :math:`[N]` or :math:`[]`, depending on whether the input has data shaped as :math:`[N, D]`. Examples: .. code-block:: python import paddle x = paddle.to_tensor([[1., 3.], [3., 5.]], dtype=paddle.float64) y = paddle.to_tensor([[5., 6.], [7., 8.]], dtype=paddle.float64) dist = paddle.nn.PairwiseDistance() distance = dist(x, y) print(distance.numpy()) # [5. 5.] """ def __init__(self, p=2.0, epsilon=1e-6, keepdim=False, name=None): super().__init__() self.p = p self.epsilon = epsilon self.keepdim = keepdim self.name = name def forward(self, x, y): return F.pairwise_distance( x, y, self.p, self.epsilon, self.keepdim, self.name ) def extra_repr(self): main_str = 'p={p}' if self.epsilon != 1e-6: main_str += ', epsilon={epsilon}' if self.keepdim is not False: main_str += ', keepdim={keepdim}' if self.name is not None: main_str += ', name={name}' return main_str.format(**self.__dict__)