mlx.nn.losses.margin_ranking_loss

class margin_ranking_loss(inputs1: array, inputs2: array, targets: array, margin: float = 0.0, reduction: Literal['none', 'mean', 'sum'] = 'none')

Calculate the margin ranking loss that loss given inputs \(x_1\), \(x_2\) and a label \(y\) (containing 1 or -1).

The loss is given by:

\[\text{loss} = \max (0, -y * (x_1 - x_2) + \text{margin})\]

Where \(y\) represents targets, \(x_1\) represents inputs1 and \(x_2\) represents inputs2.

Parameters:

• inputs1 (array) – Scores for the first input.

• inputs2 (array) – Scores for the second input.

• targets (array) – Labels indicating whether samples in inputs1 should be ranked higher than samples in inputs2. Values should be 1 or -1.

• margin (float, optional) – The margin by which the scores should be separated. Default: 0.0.

• reduction (str, optional) – Specifies the reduction to apply to the output: 'none' | 'mean' | 'sum'. Default: 'none'.

Returns:

The computed margin ranking loss.

Return type:

array

Examples

>>> import mlx.core as mx
>>> import mlx.nn as nn
>>> targets = mx.array([1, 1, -1])
>>> inputs1 = mx.array([-0.573409, -0.765166, -0.0638])
>>> inputs2 = mx.array([0.75596, 0.225763, 0.256995])
>>> loss = nn.losses.margin_ranking_loss(inputs1, inputs2, targets)
>>> loss
array(0.773433, dtype=float32)