why the loss functions have a dot_loss?

[Andrewymd]

i have see the paper,the loss is estimation by weighted maximum likelihood.
i can't understand the additional dot_loss in the implement.
in the paper

Corresponding to it is exp_loss
but in the code, the total loss = exp_loss +dot_loss

[caozhangjie]

It is a method to get rid of numerical error of exp. When the dot product of hash codes is too large, exp(dot product) may overflow. Thus, we use limit theory to calculate a estimation for it as dot loss. YoumingDeng <notifications@github.com> 于 2018年7月3日周二 上午10:27写道：

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i have see the paper,the loss is estimation by weighted maximum likelihood. i can't understand the additional dot_loss in the implement. in the paper [image: image] <https://user-images.githubusercontent.com/19166992/42195448-7813989a-7eab-11e8-829a-8f277c9671e2.png> Corresponding to it is exp_loss but in the code, the total loss = exp_loss +dot_loss — You are receiving this because you are subscribed to this thread. Reply to this email directly, view it on GitHub <#11>, or mute the thread <https://github.com/notifications/unsubscribe-auth/AKZo2SsB8VRwksWi3CUBjHu6g9fiKDQEks5uCtahgaJpZM4VAMkp> .

[Andrewymd]

Thank you

[xiaodongww]

@caozhangjie There is also one question about the loss function implemented on Pytorch platform.
I am a little confused about the function of parameter "l_threshold".
I used to think that "l_threshold" is used to decide whether an image pair will be penalized. For example, if the distance between two similar (dissimilar) image pairs is smaller (larger) than a threshold value, then we will not calculate its loss.

But recently, I find that the "l_threshold" parameter does not work at all using the default parameter settings in the training script.

HashNet/pytorch/src/loss.py

Line 10 in 591f134

mask_dot = dot_product.data > l_threshold

I think variable "mask_dot" will be a matrice of all zeros because "sigmoid_param" is set to be "10./config["hash_bit"]" and "l_threshold" is set to be 15. The maximum value of "dot_product" will be smaller than 10 and thus "mask_dot" will be all zeros. In this way, dot_loss will never be used.

Can you explain the function of 'l_threshold'? And why is it set to be 15?

Thanks in advance.

[caozhangjie]

It is a threshold for dot product. Since when the dot product is too large, there will be some numerical error on the calculation in caffe(infinite). And the pytorch is implemented by imitating the caffe code. Thus, we use threshold. When the dot product is larger than threshold, we estimate the loss by limit theory. Wu Xiaodong <notifications@github.com> 于 2018年8月24日周五 00:00写道：

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@caozhangjie <https://github.com/caozhangjie> There is also one question about the loss function implemented on Pytorch platform. I am a little confused about the function of parameter "l_threshold". I used to think that "l_threshold" is used to decide whether an image pair will be penalized. For example, if the distance between two similar (dissimilar) image pairs is smaller (larger) than a threshold value, then we will not calculate its loss. But recently, I find that the "l_threshold" parameter does not work at all using the default parameter settings in the training script. https://github.com/thuml/HashNet/blob/591f1342c9f1f8b9d0f04a7219cdfab38f6355f7/pytorch/src/loss.py#L10 I think variable "mask_dot" will be a matrice of all zeros because "sigmoid_param" is set to be "10./config["hash_bit"]" and "l_threshold" is set to be 15. The maximum value of "dot_product" will be smaller than 10 and thus "mask_dot" will be all zeros. In this way, dot_loss will never be used. Can you explain the function of 'l_threshold'? And why is it set to be 15? Thanks in advance. — You are receiving this because you were mentioned. Reply to this email directly, view it on GitHub <#11 (comment)>, or mute the thread <https://github.com/notifications/unsubscribe-auth/AKZo2UW17RGhBNxCEhKob47FO4y3fXxmks5uTtGhgaJpZM4VAMkp> .

[xiaodongww]

Thank you very much. I got that.