Implementing Class Rectification Loss in fast.ai

amqdn-crl.ipynb

@amqdn Thanks for your tutorial ❤️, it helps me a lot when implementing CRLloss.

Here I have one question.
Now I'm dealing with one training dataset, which has multiple majority and minority classes.
So how to compute the omega in CRLloss?

Glad it's helping! From the paper: "Given different individual class data sample sizes, we define Ωimb as the minimum percentage count of data samples required over all classes in order to form an overall uniform (i.e. balanced) class distribution in the training data." The authors did not provide an explicit formulation for Ωimb, so I had to infer it. There are two ways to think about this: 1) What percentage of the overall number of samples does the class with the least amount of samples represent? E.g., if you have 5 classes with [100, 100, 50, 50, 25] sample counts, 25 / (100 + 100 + 50 + 50 + 25) ≈ 0.077. The problem with this is: Taking 7.7% of each class will not result in a balanced class distribution. 2) Between the majority number of samples 100 in the above example and the minority number of samples 25, 25 constitutes 25% of the maximum amount for any given class in this example set. If you take 25% of 100, you will get 25 for the majority classes. It's better, but then you see that if you take 25% of 50, you have a similar problem of not having balanced class distribution. Still, I preferred this alternative, and you see that in the code. These were my best guesses. Maybe it'll inspire you to find something better!

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@amqdn Got it 😊, thanks for your explanation. ❤️