mindspore.ops.TripletMarginLoss

class mindspore.ops.TripletMarginLoss(p=2, swap=False, eps=1e-6, reduction='mean')

TripletMarginLoss operation.

Creates a criterion that measures the triplet loss given an input tensors $x1$, $x2$, $x3$ and a margin with a value greater than $0$. This is used for measuring a relative similarity between samples. A triplet is composed by a, p and n (i.e., anchor, positive examples and negative examples respectively). The shapes of all input tensors should be $(N,D)$.

The distance swap is described in detail in the paper Learning local feature descriptors with triplets and shallow convolutional neural networks by V. Balntas, E. Riba et al.

The loss function for each sample in the mini-batch is:

$$L(a,p,n)=max\{d(a_i,p_i)-d(a_i,n_i)+\mathrm{m}\mathrm{a}\mathrm{r}\mathrm{g}\mathrm{i}\mathrm{n},0\}$$

where

$$d(x_i,y_i)={\Vert {\mathbf{x}}_i-{\mathbf{y}}_i\Vert }_p$$

Parameters

• p (int, optional) – The norm degree for pairwise distance. Default: 2 .

• eps (float, optional) – Default: 1e-6 .

• swap (bool, optional) – The distance swap. Default: False .

• reduction (str, optional) –

  Apply specific reduction method to the output: 'none' , 'mean' , 'sum' . Default: 'mean' .

  • 'none': no reduction will be applied.

  • 'mean': compute and return the mean of elements in the output.

  • 'sum': the output elements will be summed.

Inputs:

• x (Tensor) - A sample randomly selected from the training set. Data type must be BasicType.

• positive (Tensor) - A sample belonging to the same category as x, with the same type and shape as x.

• negative (Tensor) - A sample belonging to the different class from x, with the same type and shape as x.

• margin (Tensor) - Make a margin between the positive pair and the negative pair.

Outputs:

Union[Tensor, Scalar], if reduction is "none", a Ten sor will be returned with a shape of $(N)$. Otherwise, a scalar value will be returned.

Raises

• TypeError – If x, positive, negative, or margin is not a Tensor.

• TypeError – If dtype of x, positive, or negative is not BasicType.

• TypeError – If dtypes of x, positive and negative are not the same.

• TypeError – If margin is not float32.

• TypeError – If p is not an int.

• TypeError – If eps is not a float.

• TypeError – If swap is not a bool.

• ValueError – If dimensions of input x, positive and negative are less than or equal to 1 at the same time.

• ValueError – If the dimension of input x or positive or negative is bigger than or equal to 8.

• ValueError – If length of shape of margin is not 0.

• ValueError – If shapes of x, positive and negative cannot broadcast.

• ValueError – If reduction is not one of 'none', 'mean', 'sum'.

Supported Platforms:

GPU

Examples

>>> import mindspore
>>> import numpy as np
>>> from mindspore import Tensor, ops
>>> loss = ops.TripletMarginLoss()
>>> x = Tensor(np.array([[0.3, 0.7], [0.5, 0.5]]), mindspore.float32)
>>> positive = Tensor(np.array([[0.4, 0.6], [0.4, 0.6]]), mindspore.float32)
>>> negative = Tensor(np.array([[0.2, 0.9], [0.3, 0.7]]), mindspore.float32)
>>> margin = Tensor(1.0, mindspore.float32)
>>> output = loss(x, positive, negative, margin)
>>> print(output)
0.8881968