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jl749 avatar jl749 commented on July 19, 2024

torch.nn.CrossEntropyLoss VS torch.nn.NLLLoss

same operation but different approaches

CrossEntropy contains both LogSoftmax and NLLLoss (more descriptive)

NLLLoss on the other hand takes logit output of F.log_softmax() (more imperative)

from knowledge-distillation-pytorch.

jl749 avatar jl749 commented on July 19, 2024

conventional CrossEntropy

image

def cross_entropy(predictions, targets, epsilon=1e-12):
N = predictions.shape[0]
cee = -np.sum(targets * np.log(predictions + epsilon)) / N
return cee

torch.nn.NLLLose

takes input, target; target must be 1d tensor directing to the max indexes
e.g. input = [[0.25, 0.25, 0.5], [0.1, 0.2, 0.7]], target = [2, 2]

def nlllose(log_logit, targets):
"""
negative log likelihood loss
"""
targets = np.argmax(targets, axis=1)
out = np.empty(targets.shape, dtype=np.float32)
for batch_idx in range(len(targets)): # for every batch
out[batch_idx] = log_logit[batch_idx][targets[batch_idx]]
return -np.mean(out)

torch.nn.CrossEntropyLoss

image
torch.nn.CrossEntropyLoss consists of nn.LogSoftmax and nn.NLLLoss

def cross_entropy_better(predictions, targets):
"""
easier to backprop
"""
log_predictions = log_softmax(predictions)
return nlllose(log_predictions, targets)
) (see the implementation, equations will make more sense

wait, why log softmax to calculate cross entropy err?

image
https://datascience.stackexchange.com/questions/40714/what-is-the-advantage-of-using-log-softmax-instead-of-softmax
https://stats.stackexchange.com/questions/436766/cross-entropy-with-log-softmax-activation

TODO

  • read more about the references above

from knowledge-distillation-pytorch.

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