google-research
39 строк · 1.2 Кб
1# coding=utf-8
2# Copyright 2024 The Google Research Authors.
3#
4# Licensed under the Apache License, Version 2.0 (the "License");
5# you may not use this file except in compliance with the License.
6# You may obtain a copy of the License at
7#
8# http://www.apache.org/licenses/LICENSE-2.0
9#
10# Unless required by applicable law or agreed to in writing, software
11# distributed under the License is distributed on an "AS IS" BASIS,
12# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
13# See the License for the specific language governing permissions and
14# limitations under the License.
15
16"""Loss helper functions."""
17
18import tensorflow.compat.v2 as tf
19
20
21def softmax_cross_entropy(pos, neg):
22"""softmax cross entropy loss.
23
24Let d_p = pos, d_n = neg.
25we minimize:
26log(1+exp(d_p)) + log(1+exp(-d_n))
27for stability, is it equivalent to
28d_p + log(1+exp(-d_p)) + log(1+exp(-d_n))
29
30Args:
31pos: Tensor.
32neg: Tensor of the same shape of pos.
33
34Returns:
35Tensor holding pointwise loss of the same shape as pos.
36"""
37log_exp_pos = tf.math.log1p(tf.math.exp(-pos))
38log_exp_neg = tf.math.log1p(tf.math.exp(-neg))
39return pos + log_exp_pos + log_exp_neg
40