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from __future__ import annotations |
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import copy |
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from typing import Optional, Tuple, TypeVar |
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import torch |
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__all__ = ['fuse_conv_bn_eval', 'fuse_conv_bn_weights', 'fuse_linear_bn_eval', 'fuse_linear_bn_weights'] |
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ConvT = TypeVar("ConvT", bound="torch.nn.modules.conv._ConvNd") |
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LinearT = TypeVar("LinearT", bound="torch.nn.Linear") |
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def fuse_conv_bn_eval(conv: ConvT, bn: torch.nn.modules.batchnorm._BatchNorm, transpose: bool = False) -> ConvT: |
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r"""Fuse a convolutional module and a BatchNorm module into a single, new convolutional module. |
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Args: |
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conv (torch.nn.modules.conv._ConvNd): A convolutional module. |
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bn (torch.nn.modules.batchnorm._BatchNorm): A BatchNorm module. |
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transpose (bool, optional): If True, transpose the convolutional weight. Defaults to False. |
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Returns: |
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torch.nn.modules.conv._ConvNd: The fused convolutional module. |
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.. note:: |
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Both ``conv`` and ``bn`` must be in eval mode, and ``bn`` must have its running buffers computed. |
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""" |
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assert not (conv.training or bn.training), "Fusion only for eval!" |
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fused_conv = copy.deepcopy(conv) |
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assert bn.running_mean is not None and bn.running_var is not None |
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fused_conv.weight, fused_conv.bias = fuse_conv_bn_weights( |
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fused_conv.weight, fused_conv.bias, |
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bn.running_mean, bn.running_var, bn.eps, bn.weight, bn.bias, transpose) |
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return fused_conv |
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def fuse_conv_bn_weights( |
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conv_w: torch.Tensor, |
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conv_b: Optional[torch.Tensor], |
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bn_rm: torch.Tensor, |
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bn_rv: torch.Tensor, |
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bn_eps: float, |
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bn_w: Optional[torch.Tensor], |
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bn_b: Optional[torch.Tensor], |
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transpose: bool = False |
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) -> Tuple[torch.nn.Parameter, torch.nn.Parameter]: |
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r"""Fuse convolutional module parameters and BatchNorm module parameters into new convolutional module parameters. |
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Args: |
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conv_w (torch.Tensor): Convolutional weight. |
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conv_b (Optional[torch.Tensor]): Convolutional bias. |
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bn_rm (torch.Tensor): BatchNorm running mean. |
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bn_rv (torch.Tensor): BatchNorm running variance. |
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bn_eps (float): BatchNorm epsilon. |
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bn_w (Optional[torch.Tensor]): BatchNorm weight. |
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bn_b (Optional[torch.Tensor]): BatchNorm bias. |
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transpose (bool, optional): If True, transpose the conv weight. Defaults to False. |
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Returns: |
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Tuple[torch.nn.Parameter, torch.nn.Parameter]: Fused convolutional weight and bias. |
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""" |
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conv_weight_dtype = conv_w.dtype |
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conv_bias_dtype = conv_b.dtype if conv_b is not None else conv_weight_dtype |
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if conv_b is None: |
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conv_b = torch.zeros_like(bn_rm) |
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if bn_w is None: |
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bn_w = torch.ones_like(bn_rm) |
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if bn_b is None: |
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bn_b = torch.zeros_like(bn_rm) |
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bn_var_rsqrt = torch.rsqrt(bn_rv + bn_eps) |
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if transpose: |
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shape = [1, -1] + [1] * (len(conv_w.shape) - 2) |
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else: |
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shape = [-1, 1] + [1] * (len(conv_w.shape) - 2) |
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fused_conv_w = (conv_w * (bn_w * bn_var_rsqrt).reshape(shape)).to(dtype=conv_weight_dtype) |
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fused_conv_b = ((conv_b - bn_rm) * bn_var_rsqrt * bn_w + bn_b).to(dtype=conv_bias_dtype) |
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return ( |
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torch.nn.Parameter(fused_conv_w, conv_w.requires_grad), torch.nn.Parameter(fused_conv_b, conv_b.requires_grad) |
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) |
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def fuse_linear_bn_eval(linear: LinearT, bn: torch.nn.modules.batchnorm._BatchNorm) -> LinearT: |
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r"""Fuse a linear module and a BatchNorm module into a single, new linear module. |
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Args: |
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linear (torch.nn.Linear): A Linear module. |
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bn (torch.nn.modules.batchnorm._BatchNorm): A BatchNorm module. |
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Returns: |
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torch.nn.Linear: The fused linear module. |
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.. note:: |
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Both ``linear`` and ``bn`` must be in eval mode, and ``bn`` must have its running buffers computed. |
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""" |
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assert not (linear.training or bn.training), "Fusion only for eval!" |
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fused_linear = copy.deepcopy(linear) |
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""" |
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Linear-BN needs to be fused while preserving the shapes of linear weight/bias. |
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To preserve the shapes of linear weight/bias, the channel dim of bn needs to be broadcastable with the last dim of linear, |
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because bn operates over the channel dim, (N, C_in, H, W) while linear operates over the last dim, (*, H_in). |
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To be broadcastable, the number of features in bn and |
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the number of output features from linear must satisfy the following condition: |
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1. they are equal, or |
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2. the number of features in bn is 1 |
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Otherwise, skip the folding path |
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""" |
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assert ( |
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linear.out_features == bn.num_features or bn.num_features == 1 |
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), "To fuse, linear.out_features == bn.num_features or bn.num_features == 1" |
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assert bn.running_mean is not None and bn.running_var is not None |
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fused_linear.weight, fused_linear.bias = fuse_linear_bn_weights( |
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fused_linear.weight, fused_linear.bias, |
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bn.running_mean, bn.running_var, bn.eps, bn.weight, bn.bias) |
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return fused_linear |
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def fuse_linear_bn_weights( |
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linear_w: torch.Tensor, |
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linear_b: Optional[torch.Tensor], |
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bn_rm: torch.Tensor, |
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bn_rv: torch.Tensor, |
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bn_eps: float, |
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bn_w: torch.Tensor, |
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bn_b: torch.Tensor, |
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) -> Tuple[torch.nn.Parameter, torch.nn.Parameter]: |
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r"""Fuse linear module parameters and BatchNorm module parameters into new linear module parameters. |
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Args: |
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linear_w (torch.Tensor): Linear weight. |
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linear_b (Optional[torch.Tensor]): Linear bias. |
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bn_rm (torch.Tensor): BatchNorm running mean. |
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bn_rv (torch.Tensor): BatchNorm running variance. |
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bn_eps (float): BatchNorm epsilon. |
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bn_w (torch.Tensor): BatchNorm weight. |
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bn_b (torch.Tensor): BatchNorm bias. |
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transpose (bool, optional): If True, transpose the conv weight. Defaults to False. |
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Returns: |
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Tuple[torch.nn.Parameter, torch.nn.Parameter]: Fused linear weight and bias. |
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""" |
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if linear_b is None: |
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linear_b = torch.zeros_like(bn_rm) |
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bn_scale = bn_w * torch.rsqrt(bn_rv + bn_eps) |
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fused_w = linear_w * bn_scale.unsqueeze(-1) |
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fused_b = (linear_b - bn_rm) * bn_scale + bn_b |
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return torch.nn.Parameter(fused_w, linear_w.requires_grad), torch.nn.Parameter(fused_b, linear_b.requires_grad) |
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