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new 44c2bfe Clarify definition of cross-entropy metric in the
documentation (clean up PR #7291) (#7365)
44c2bfe is described below
commit 44c2bfe6133ae51cfb0531600ccd6408654434e6
Author: Hessel Tuinhof <hesseltuin...@users.noreply.github.com>
AuthorDate: Wed Aug 9 02:25:48 2017 +0200
Clarify definition of cross-entropy metric in the documentation (clean up
PR #7291) (#7365)
* [R] switch order of LRN and pooling layer
Original paper (section 3.5) performs local response normalization of relu.
* clearify definition of cross entropy
* fix small type
* fixed lint, trailing wspace
---
python/mxnet/metric.py | 8 ++++++--
1 file changed, 6 insertions(+), 2 deletions(-)
diff --git a/python/mxnet/metric.py b/python/mxnet/metric.py
index 1a8e67d..00cc2da 100644
--- a/python/mxnet/metric.py
+++ b/python/mxnet/metric.py
@@ -854,10 +854,14 @@ class RMSE(EvalMetric):
class CrossEntropy(EvalMetric):
"""Computes Cross Entropy loss.
- The cross entropy is given by
+ The cross entropy over a batch of sample size :math:`N` is given by
.. math::
- -y\\log \\hat{y} + (1-y)\\log (1-\\hat{y})
+ -\\sum_{n=1}^{N}\\sum_{k=1}^{K}t_{nk}\\log (y_{nk}),
+
+ where :math:`t_{nk}=1` if and only if sample :math:`n` belongs to class
:math:`k`.
+ :math:`y_{nk}` denotes the probability of sample :math:`n` belonging to
+ class :math:`k`.
Parameters
----------
--
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