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This repo contains a PyTorch implementation of the paper: "Evidential Deep Learning to Quantify Classification Uncertainty"

Home Page: http://arxiv.org/abs/1806.01768

License: MIT License

Python 100.00%
classification dirichlet-distributions evidential-deep-learning mnist mnist-classification paper pytorch torchvision uncertainty uncertainty-neural-networks

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pytorch-classification-uncertainty's Issues

how to get uncertainty?

Thanks for your work, this code is very helpful to me. But I have a question about how to calculate uncertainty. In paper, I find a formula like this picture.
微信图片_20201108115706
If i understand correctly, this 'u' is uncertainty, and 'b_k' is single category output of model, in other words, b_k is classificaton probability. So 'u' can get by 1 - 'b_k of all classes'.
But, in the section of 'Comparing in sample and out of sample classification', I do`t know why uncertainty of Master Yoda is 1.0, because classificaton probability of other classes do not look like 0.0.
Looking forward to your answer, thanks again.

KL Divergence

Hi, I am very interested in this work.

I find that kl_divergence loss in the code seems differ from that in the paper.
lnB_uni = torch.sum(torch.lgamma(beta), dim=1, keepdim=True) - torch.lgamma(S_beta)

torch.sum(torch.lgamma(beta), dim=1, keepdim=True) for this part, I can't find it in the paper. Maybe I misunderstand it. Can you help me?

Inappropriate loss function

Hello,

In your code, KL divergence is definded as

def kl_divergence(alpha, num_classes, device=None):
    if not device:
        device = get_device()
    ones = torch.ones([1, num_classes], dtype=torch.float32, device=device)
    sum_alpha = torch.sum(alpha, dim=1, keepdim=True)
    first_term = (
        torch.lgamma(sum_alpha)
        - torch.lgamma(alpha).sum(dim=1, keepdim=True)
        + torch.lgamma(ones).sum(dim=1, keepdim=True)
        - torch.lgamma(ones.sum(dim=1, keepdim=True))
    )
    second_term = (
        (alpha - ones)
        .mul(torch.digamma(alpha) - torch.digamma(sum_alpha))
        .sum(dim=1, keepdim=True)
    )
    kl = first_term + second_term
    return kl

but term(in first_term) bellow is meaningless, isn't it?
+ torch.lgamma(ones).sum(dim=1, keepdim=True)
because log gamma([1, 1, ...]) always be 0.

If you have other ideas, please let me know.

Thank you

function one_hot_embedding maybe lack `.to(device)`

hi guys, nice work! However, maybe you forget to make torch.eye to device in one_hot_embedding?

Modified one_hot_embedding in helpers.py as

def one_hot_embedding(labels, num_classes=10):
    # Convert to One Hot Encoding
    device = get_device()
    y = torch.eye(num_classes).to(device)
    return y[labels]

Proof for loss function

Hi, thanks for your excellent work. But I can't understand the derived loss function, and the proof is provided in the supplementary material. So where can I download it?

About annealing_step

Thank you very much for a nice work.
I want to train on CIFAR10 dataset use resnet20, the model needs to train 300 epochs, I don't know if I need to change annealing_step to 300 or remain unchanged as 10?

Fail to train in mini-Imagenet

I use the edl loss to train in mini-imagenet dataset with 64 classes, but the loss can't converge and the accuracy is very low.

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