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Chainer implementation of Bayesian Convolutional Neural Networks (BCNNs)

License: MIT License

Python 99.91% Makefile 0.09%
chainer cnn unet bayesian uncertainty pix2pix adversarial-training

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Confustion about predictive structure-wise variance

Dear @yuta-hi ,

I'm currently reading your paper and I must say it is indeed amazing work. However, I personally find the part in your paper where you describe predictive structure-wise variance (PSR) a little difficult to understand. That is, this bit:

image

My understanding is that for each pixel in the output, we want to sum over the variances of it being each class, and then sum all the variances. For example, if we have two classes (0,1), and our output size is 1x2 (so that we have output pixels: y_00, y_01), what we want to do is to sum var(y_00 = class_0) + var(y_00 = class 1) + var(y_01 = class_0) + var(y_01 = class_1) and then normalise the sum by the size of the number of pixels in the output.

Can you please kindly let me know if my understanding is correct? I apologise if this question seems a bit silly to you as I've just begun to march into the world of deep learning.

Thank you very much for your time reading this through and I look forward to seeing your reply.

Kind regards,
JZ

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