Questions about ANCHORED FEATURE REGULARIZER

[iliaohai]

Hi, I'm trying to use ANCHORED FEATURE REGULARIZER as you suggested, but I'm having a problem that when Batch_size=1, lowerbound_loss is always 0. After checking the code, it's caused by the following code, can you help me? Thanks.

class InfoNCE(nn.Module):
    def __init__(self, x_dim, y_dim):
        super(InfoNCE, self).__init__()
        self.lower_size = 300
        self.F_func = nn.Sequential(nn.Linear(x_dim + y_dim, self.lower_size),
                                    nn.ReLU(),
                                    nn.Linear(self.lower_size, 1),
                                    nn.Softplus())

    def forward(self, x_samples, y_samples):  # samples have shape [sample_size, dim]
        print("used InfoNCE")
        print("x_shape")
        print(x_samples.shape)
        print(x_samples)
        print("y_samples")
        print(y_samples.shape)
        print(y_samples)
        # shuffle and concatenate
        sample_size = y_samples.shape[0]
        random_index = torch.randint(sample_size, (sample_size,)).long()

        x_tile = x_samples.unsqueeze(0).repeat((sample_size, 1, 1))
        y_tile = y_samples.unsqueeze(1).repeat((1, sample_size, 1))

        T0 = self.F_func(torch.cat([x_samples, y_samples], dim=-1))
        T1 = self.F_func(torch.cat([x_tile, y_tile], dim=-1))  # [s_size, s_size, 1]
        print("T0:")
        print(T0)
        print("T1:")
        print(T1)
        lower_bound = T0.mean() - (
                    T1.logsumexp(dim=1).mean() - np.log(sample_size))  # torch.log(T1.exp().mean(dim = 1)).mean()
        # compute the negative loss (maximise loss == minimise -loss)
        print("lower_bound:")
        print(lower_bound)
        return lower_bound

========print========== used InfoNCE x_shape torch.Size([1, 1024]) tensor([[-1.1419, 0.0000, 0.1771, ..., -2.2108, 0.0000, 0.5778]], device='cuda:0', grad_fn=) y_samples torch.Size([1, 1024]) tensor([[-0.1306, -0.1803, -0.0562, ..., -0.0158, -0.0930, -0.0641]], device='cuda:0', grad_fn=) T0: tensor([[0.5524]], device='cuda:0', grad_fn=) T1: tensor([[[0.5524]]], device='cuda:0', grad_fn=) lower_bound: tensor(0., device='cuda:0', grad_fn=)

[boxin-wbx]

Hi,

This is expected if you set bsz=1. We recommend a larger batch size to make the regularizer work effectively. In our paper, we use bsz=256.

For the mathematical reason behind this, we can refer to Eq.6 and Appendix Eq. 11. During implementation, bsz=1 could result in N=1. This could make the sampling always sample from itself.