How to generate random pairs at each epoch?

Could you just double the batch size of the dataloader?

E.g.:

# assuming your data are images: batch of (128, 3, H, W)
batch_size = 128
dataloader = DataLoader(dataset, batch_size=batch_size, shuffle=True, drop_last=True)

for batch in dataloader:
    # pairs is a tuple of (64, 3, H, W) and (64, 3, H, W)
    pairs = torch.split(batch, batch_size//2, dim=0) 
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