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6.51 kB
| import torch | |
| import torch.distributed as dist | |
| import math | |
| import warnings | |
| from torch.nn.init import _calculate_fan_in_and_fan_out | |
| from einops import rearrange | |
| def token_to_grid(h): | |
| B, L, C = h.shape | |
| H = int(L ** 0.5) | |
| # return rearrange(h, 'b (h w) c -> b c h w', h=int(h.shape[1] ** 0.5), w=int(h.shape[1] ** 0.5)) | |
| return h.view(B, H, H, C).permute(0, 3, 1, 2) | |
| class AllReduce(torch.autograd.Function): | |
| def forward(ctx, x): | |
| if ( | |
| dist.is_available() | |
| and dist.is_initialized() | |
| and (dist.get_world_size() > 1) | |
| ): | |
| x = x.contiguous() / dist.get_world_size() | |
| dist.all_reduce(x) | |
| return x | |
| def backward(ctx, grads): | |
| return grads | |
| def repeat_interleave_batch(x, B, repeat): | |
| # [N*B] -> [N*R*B] | |
| N = len(x) // B | |
| x = torch.cat([ | |
| torch.cat([x[i*B:(i+1)*B] for _ in range(repeat)], dim=0) | |
| for i in range(N) | |
| ], dim=0) | |
| return x | |
| def apply_masks(x, masks): | |
| """ | |
| :param x: tensor of shape [B (batch-size), N (num-patches), D (feature-dim)] | |
| :param masks: list of tensors containing indices of patches in [N] to keep | |
| """ | |
| all_x = [] | |
| for m in masks: | |
| mask_keep = m.unsqueeze(-1).repeat(1, 1, x.size(-1)) | |
| all_x += [torch.gather(x, dim=1, index=mask_keep)] | |
| return torch.cat(all_x, dim=0) | |
| def compute_var(y): | |
| y = y.view(-1, y.size(-1)) | |
| if dist.is_initialized(): | |
| zc = torch.tensor(y.size(0)).cuda() | |
| zs = y.sum(dim=0) | |
| zss = (y ** 2).sum(dim=0) | |
| dist.all_reduce(zc) | |
| dist.all_reduce(zs) | |
| dist.all_reduce(zss) | |
| var = zss / (zc - 1) - (zs ** 2) / (zc * (zc - 1)) | |
| return torch.sqrt(var + 1e-6).mean() | |
| else: | |
| return torch.sqrt(y.var(dim=0) + 1e-6).mean() | |
| def _trunc_normal_(tensor, mean, std, a, b): | |
| # Cut & paste from PyTorch official master until it's in a few official releases - RW | |
| # Method based on https://people.sc.fsu.edu/~jburkardt/presentations/truncated_normal.pdf | |
| def norm_cdf(x): | |
| # Computes standard normal cumulative distribution function | |
| return (1. + math.erf(x / math.sqrt(2.))) / 2. | |
| if (mean < a - 2 * std) or (mean > b + 2 * std): | |
| warnings.warn("mean is more than 2 std from [a, b] in nn.init.trunc_normal_. " | |
| "The distribution of values may be incorrect.", | |
| stacklevel=2) | |
| # Values are generated by using a truncated uniform distribution and | |
| # then using the inverse CDF for the normal distribution. | |
| # Get upper and lower cdf values | |
| l = norm_cdf((a - mean) / std) | |
| u = norm_cdf((b - mean) / std) | |
| # Uniformly fill tensor with values from [l, u], then translate to | |
| # [2l-1, 2u-1]. | |
| tensor.uniform_(2 * l - 1, 2 * u - 1) | |
| # Use inverse cdf transform for normal distribution to get truncated | |
| # standard normal | |
| tensor.erfinv_() | |
| # Transform to proper mean, std | |
| tensor.mul_(std * math.sqrt(2.)) | |
| tensor.add_(mean) | |
| # Clamp to ensure it's in the proper range | |
| tensor.clamp_(min=a, max=b) | |
| return tensor | |
| def trunc_normal_(tensor, mean=0., std=1., a=-2., b=2.): | |
| # type: (Tensor, float, float, float, float) -> Tensor | |
| r"""Fills the input Tensor with values drawn from a truncated | |
| normal distribution. The values are effectively drawn from the | |
| normal distribution :math:`\mathcal{N}(\text{mean}, \text{std}^2)` | |
| with values outside :math:`[a, b]` redrawn until they are within | |
| the bounds. The method used for generating the random values works | |
| best when :math:`a \leq \text{mean} \leq b`. | |
| NOTE: this impl is similar to the PyTorch trunc_normal_, the bounds [a, b] are | |
| applied while sampling the normal with mean/std applied, therefore a, b args | |
| should be adjusted to match the range of mean, std args. | |
| Args: | |
| tensor: an n-dimensional `torch.Tensor` | |
| mean: the mean of the normal distribution | |
| std: the standard deviation of the normal distribution | |
| a: the minimum cutoff value | |
| b: the maximum cutoff value | |
| Examples: | |
| >>> w = torch.empty(3, 5) | |
| >>> nn.init.trunc_normal_(w) | |
| """ | |
| with torch.no_grad(): | |
| return _trunc_normal_(tensor, mean, std, a, b) | |
| def trunc_normal_tf_(tensor, mean=0., std=1., a=-2., b=2.): | |
| # type: (Tensor, float, float, float, float) -> Tensor | |
| r"""Fills the input Tensor with values drawn from a truncated | |
| normal distribution. The values are effectively drawn from the | |
| normal distribution :math:`\mathcal{N}(\text{mean}, \text{std}^2)` | |
| with values outside :math:`[a, b]` redrawn until they are within | |
| the bounds. The method used for generating the random values works | |
| best when :math:`a \leq \text{mean} \leq b`. | |
| NOTE: this 'tf' variant behaves closer to Tensorflow / JAX impl where the | |
| bounds [a, b] are applied when sampling the normal distribution with mean=0, std=1.0 | |
| and the result is subsquently scaled and shifted by the mean and std args. | |
| Args: | |
| tensor: an n-dimensional `torch.Tensor` | |
| mean: the mean of the normal distribution | |
| std: the standard deviation of the normal distribution | |
| a: the minimum cutoff value | |
| b: the maximum cutoff value | |
| Examples: | |
| >>> w = torch.empty(3, 5) | |
| >>> nn.init.trunc_normal_(w) | |
| """ | |
| with torch.no_grad(): | |
| _trunc_normal_(tensor, 0, 1.0, a, b) | |
| tensor.mul_(std).add_(mean) | |
| return tensor | |
| def variance_scaling_(tensor, scale=1.0, mode='fan_in', distribution='normal'): | |
| fan_in, fan_out = _calculate_fan_in_and_fan_out(tensor) | |
| if mode == 'fan_in': | |
| denom = fan_in | |
| elif mode == 'fan_out': | |
| denom = fan_out | |
| elif mode == 'fan_avg': | |
| denom = (fan_in + fan_out) / 2 | |
| variance = scale / denom | |
| if distribution == "truncated_normal": | |
| # constant is stddev of standard normal truncated to (-2, 2) | |
| trunc_normal_tf_(tensor, std=math.sqrt(variance) / .87962566103423978) | |
| elif distribution == "normal": | |
| with torch.no_grad(): | |
| tensor.normal_(std=math.sqrt(variance)) | |
| elif distribution == "uniform": | |
| bound = math.sqrt(3 * variance) | |
| with torch.no_grad(): | |
| tensor.uniform_(-bound, bound) | |
| else: | |
| raise ValueError(f"invalid distribution {distribution}") | |
| def lecun_normal_(tensor): | |
| variance_scaling_(tensor, mode='fan_in', distribution='truncated_normal') | |