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richardaecn avatar richardaecn commented on June 4, 2024

Hi @eric-tc ,

In Figure 2, the volume of gray shaded region is E_{n-1}. After we sampled a new data, there are 2 possibilities showed in the right side of Figure 2:

  1. with probability p = E_{n-1}/N, the newly sampled data is inside the gray region, so the new volume is unchanged (E_{n-1});
  2. with probability 1-p, the newly sampled data is outside the gray region, so the new volume is added by 1 (E_{n-1} + 1);

Therefore, the expected new volume is Equation 1.

from class-balanced-loss.

eric-tc avatar eric-tc commented on June 4, 2024

Hi @richardaecn ,
thanks now it is clear.

from class-balanced-loss.

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