<h2>多标签盒</h2>
<p>以前的答案没有指定如何处理多标签情况,因此这里有这样一个版本,它在tensorflow中实现了三种类型的多标签f1分数:micro、macro和weighted(根据scikit learn)</p>
<p><strong>更新(06/06/18):</strong>我写了一篇<a href="http://vict0rsch.github.io/2018/06/06/tensorflow-streaming-multilabel-f1/" rel="noreferrer">blog post</a>关于如何计算流媒体多标签f1分数,以防对任何人有帮助(这是一个较长的过程,不想让这个答案过载)</p>
<pre><code>f1s = [0, 0, 0]
y_true = tf.cast(y_true, tf.float64)
y_pred = tf.cast(y_pred, tf.float64)
for i, axis in enumerate([None, 0]):
TP = tf.count_nonzero(y_pred * y_true, axis=axis)
FP = tf.count_nonzero(y_pred * (y_true - 1), axis=axis)
FN = tf.count_nonzero((y_pred - 1) * y_true, axis=axis)
precision = TP / (TP + FP)
recall = TP / (TP + FN)
f1 = 2 * precision * recall / (precision + recall)
f1s[i] = tf.reduce_mean(f1)
weights = tf.reduce_sum(y_true, axis=0)
weights /= tf.reduce_sum(weights)
f1s[2] = tf.reduce_sum(f1 * weights)
micro, macro, weighted = f1s
</code></pre>
<hr/>
<h3>正确性</h3>
<pre><code>def tf_f1_score(y_true, y_pred):
"""Computes 3 different f1 scores, micro macro
weighted.
micro: f1 score accross the classes, as 1
macro: mean of f1 scores per class
weighted: weighted average of f1 scores per class,
weighted from the support of each class
Args:
y_true (Tensor): labels, with shape (batch, num_classes)
y_pred (Tensor): model's predictions, same shape as y_true
Returns:
tuple(Tensor): (micro, macro, weighted)
tuple of the computed f1 scores
"""
f1s = [0, 0, 0]
y_true = tf.cast(y_true, tf.float64)
y_pred = tf.cast(y_pred, tf.float64)
for i, axis in enumerate([None, 0]):
TP = tf.count_nonzero(y_pred * y_true, axis=axis)
FP = tf.count_nonzero(y_pred * (y_true - 1), axis=axis)
FN = tf.count_nonzero((y_pred - 1) * y_true, axis=axis)
precision = TP / (TP + FP)
recall = TP / (TP + FN)
f1 = 2 * precision * recall / (precision + recall)
f1s[i] = tf.reduce_mean(f1)
weights = tf.reduce_sum(y_true, axis=0)
weights /= tf.reduce_sum(weights)
f1s[2] = tf.reduce_sum(f1 * weights)
micro, macro, weighted = f1s
return micro, macro, weighted
def compare(nb, dims):
labels = (np.random.randn(nb, dims) > 0.5).astype(int)
predictions = (np.random.randn(nb, dims) > 0.5).astype(int)
stime = time()
mic = f1_score(labels, predictions, average='micro')
mac = f1_score(labels, predictions, average='macro')
wei = f1_score(labels, predictions, average='weighted')
print('sklearn in {:.4f}:\n micro: {:.8f}\n macro: {:.8f}\n weighted: {:.8f}'.format(
time() - stime, mic, mac, wei
))
gtime = time()
tf.reset_default_graph()
y_true = tf.Variable(labels)
y_pred = tf.Variable(predictions)
micro, macro, weighted = tf_f1_score(y_true, y_pred)
with tf.Session() as sess:
tf.global_variables_initializer().run(session=sess)
stime = time()
mic, mac, wei = sess.run([micro, macro, weighted])
print('tensorflow in {:.4f} ({:.4f} with graph time):\n micro: {:.8f}\n macro: {:.8f}\n weighted: {:.8f}'.format(
time() - stime, time()-gtime, mic, mac, wei
))
compare(10 ** 6, 10)
</code></pre>
<p><strong>输出</strong>:</p>
<pre><code>>> rows: 10^6 dimensions: 10
sklearn in 2.3939:
micro: 0.30890287
macro: 0.30890275
weighted: 0.30890279
tensorflow in 0.2465 (3.3246 with graph time):
micro: 0.30890287
macro: 0.30890275
weighted: 0.30890279
</code></pre>