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import math |
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import os |
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import torch |
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import torch.distributed as dist |
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import bitsandbytes.functional as F |
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from bitsandbytes.optim.optimizer import Optimizer2State |
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class Adam(Optimizer2State): |
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def __init__( |
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self, |
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params, |
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lr=1e-3, |
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betas=(0.9, 0.999), |
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eps=1e-8, |
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weight_decay=0, |
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amsgrad=False, |
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optim_bits=32, |
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args=None, |
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min_8bit_size=4096, |
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percentile_clipping=100, |
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block_wise=True, |
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is_paged=False, |
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): |
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""" |
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Base Adam optimizer. |
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Arguments: |
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params (`torch.tensor`): |
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The input parameters to optimize. |
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lr (`float`, defaults to 1e-3): |
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The learning rate. |
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betas (`tuple(float, float)`, defaults to (0.9, 0.999)): |
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The beta values are the decay rates of the first and second-order moment of the optimizer. |
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eps (`float`, defaults to 1e-8): |
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The epsilon value prevents division by zero in the optimizer. |
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weight_decay (`float`, defaults to 0.0): |
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The weight decay value for the optimizer. |
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amsgrad (`bool`, defaults to `False`): |
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Whether to use the [AMSGrad](https://hf.co/papers/1904.09237) variant of Adam that uses the maximum of past squared gradients instead. |
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optim_bits (`int`, defaults to 32): |
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The number of bits of the optimizer state. |
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args (`object`, defaults to `None`): |
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An object with additional arguments. |
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min_8bit_size (`int`, defaults to 4096): |
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The minimum number of elements of the parameter tensors for 8-bit optimization. |
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percentile_clipping (`int`, defaults to 100): |
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Adapts clipping threshold automatically by tracking the last 100 gradient norms and clipping the gradient at a certain percentile to improve stability. |
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block_wise (`bool`, defaults to `True`): |
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Whether to independently quantize each block of tensors to reduce outlier effects and improve stability. |
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is_paged (`bool`, defaults to `False`): |
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Whether the optimizer is a paged optimizer or not. |
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""" |
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super().__init__( |
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"adam", |
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params, |
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lr, |
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betas, |
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eps, |
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weight_decay, |
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optim_bits, |
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args, |
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min_8bit_size, |
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percentile_clipping, |
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block_wise, |
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is_paged=is_paged, |
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) |
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class Adam8bit(Optimizer2State): |
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def __init__( |
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self, |
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params, |
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lr=1e-3, |
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betas=(0.9, 0.999), |
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eps=1e-8, |
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weight_decay=0, |
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amsgrad=False, |
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optim_bits=32, |
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args=None, |
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min_8bit_size=4096, |
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percentile_clipping=100, |
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block_wise=True, |
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is_paged=False, |
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): |
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""" |
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8-bit Adam optimizer. |
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Arguments: |
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params (`torch.tensor`): |
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The input parameters to optimize. |
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lr (`float`, defaults to 1e-3): |
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The learning rate. |
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betas (`tuple(float, float)`, defaults to (0.9, 0.999)): |
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The beta values are the decay rates of the first and second-order moment of the optimizer. |
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eps (`float`, defaults to 1e-8): |
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The epsilon value prevents division by zero in the optimizer. |
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weight_decay (`float`, defaults to 0.0): |
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The weight decay value for the optimizer. |
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amsgrad (`bool`, defaults to `False`): |
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Whether to use the [AMSGrad](https://hf.co/papers/1904.09237) variant of Adam that uses the maximum of past squared gradients instead. |
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optim_bits (`int`, defaults to 32): |
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The number of bits of the optimizer state. |
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args (`object`, defaults to `None`): |
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An object with additional arguments. |
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min_8bit_size (`int`, defaults to 4096): |
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The minimum number of elements of the parameter tensors for 8-bit optimization. |
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percentile_clipping (`int`, defaults to 100): |
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Adapts clipping threshold automatically by tracking the last 100 gradient norms and clipping the gradient at a certain percentile to improve stability. |
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block_wise (`bool`, defaults to `True`): |
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Whether to independently quantize each block of tensors to reduce outlier effects and improve stability. |
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is_paged (`bool`, defaults to `False`): |
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Whether the optimizer is a paged optimizer or not. |
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""" |
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super().__init__( |
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"adam", |
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params, |
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lr, |
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betas, |
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eps, |
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weight_decay, |
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8, |
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args, |
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min_8bit_size, |
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percentile_clipping, |
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block_wise, |
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is_paged=is_paged, |
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) |
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class Adam32bit(Optimizer2State): |
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def __init__( |
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self, |
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params, |
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lr=1e-3, |
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betas=(0.9, 0.999), |
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eps=1e-8, |
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weight_decay=0, |
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amsgrad=False, |
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optim_bits=32, |
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args=None, |
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min_8bit_size=4096, |
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percentile_clipping=100, |
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block_wise=True, |
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is_paged=False, |
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): |
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""" |
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32-bit Adam optimizer. |
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Arguments: |
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params (`torch.tensor`): |
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The input parameters to optimize. |
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lr (`float`, defaults to 1e-3): |
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The learning rate. |
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betas (`tuple(float, float)`, defaults to (0.9, 0.999)): |
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The beta values are the decay rates of the first and second-order moment of the optimizer. |
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eps (`float`, defaults to 1e-8): |
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The epsilon value prevents division by zero in the optimizer. |
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weight_decay (`float`, defaults to 0.0): |
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The weight decay value for the optimizer. |
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amsgrad (`bool`, defaults to `False`): |
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Whether to use the [AMSGrad](https://hf.co/papers/1904.09237) variant of Adam that uses the maximum of past squared gradients instead. |
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optim_bits (`int`, defaults to 32): |
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The number of bits of the optimizer state. |
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args (`object`, defaults to `None`): |
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An object with additional arguments. |
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min_8bit_size (`int`, defaults to 4096): |
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The minimum number of elements of the parameter tensors for 8-bit optimization. |
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percentile_clipping (`int`, defaults to 100): |
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Adapts clipping threshold automatically by tracking the last 100 gradient norms and clipping the gradient at a certain percentile to improve stability. |
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block_wise (`bool`, defaults to `True`): |
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Whether to independently quantize each block of tensors to reduce outlier effects and improve stability. |
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is_paged (`bool`, defaults to `False`): |
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Whether the optimizer is a paged optimizer or not. |
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""" |
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super().__init__( |
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"adam", |
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params, |
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lr, |
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betas, |
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eps, |
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weight_decay, |
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32, |
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args, |
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min_8bit_size, |
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percentile_clipping, |
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block_wise, |
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is_paged=is_paged, |
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) |
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class PagedAdam(Optimizer2State): |
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def __init__( |
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self, |
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params, |
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lr=1e-3, |
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betas=(0.9, 0.999), |
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eps=1e-8, |
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weight_decay=0, |
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amsgrad=False, |
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optim_bits=32, |
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args=None, |
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min_8bit_size=4096, |
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percentile_clipping=100, |
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block_wise=True, |
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is_paged=False, |
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): |
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""" |
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Paged Adam optimizer. |
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Arguments: |
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params (`torch.tensor`): |
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The input parameters to optimize. |
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lr (`float`, defaults to 1e-3): |
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|
The learning rate. |
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|
betas (`tuple(float, float)`, defaults to (0.9, 0.999)): |
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|
The beta values are the decay rates of the first and second-order moment of the optimizer. |
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eps (`float`, defaults to 1e-8): |
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|
The epsilon value prevents division by zero in the optimizer. |
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weight_decay (`float`, defaults to 0.0): |
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The weight decay value for the optimizer. |
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amsgrad (`bool`, defaults to `False`): |
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Whether to use the [AMSGrad](https://hf.co/papers/1904.09237) variant of Adam that uses the maximum of past squared gradients instead. |
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optim_bits (`int`, defaults to 32): |
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The number of bits of the optimizer state. |
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args (`object`, defaults to `None`): |
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An object with additional arguments. |
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min_8bit_size (`int`, defaults to 4096): |
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The minimum number of elements of the parameter tensors for 8-bit optimization. |
|
|
percentile_clipping (`int`, defaults to 100): |
|
|
Adapts clipping threshold automatically by tracking the last 100 gradient norms and clipping the gradient at a certain percentile to improve stability. |
|
|
block_wise (`bool`, defaults to `True`): |
|
|
Whether to independently quantize each block of tensors to reduce outlier effects and improve stability. |
|
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is_paged (`bool`, defaults to `False`): |
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|
Whether the optimizer is a paged optimizer or not. |
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""" |
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super().__init__( |
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"adam", |
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params, |
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lr, |
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betas, |
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|
eps, |
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|
weight_decay, |
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optim_bits, |
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args, |
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min_8bit_size, |
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percentile_clipping, |
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block_wise, |
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is_paged=True, |
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) |
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class PagedAdam8bit(Optimizer2State): |
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def __init__( |
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self, |
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params, |
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lr=1e-3, |
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betas=(0.9, 0.999), |
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eps=1e-8, |
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weight_decay=0, |
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amsgrad=False, |
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optim_bits=32, |
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args=None, |
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min_8bit_size=4096, |
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percentile_clipping=100, |
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block_wise=True, |
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is_paged=False, |
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): |
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""" |
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8-bit paged Adam optimizer. |
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Arguments: |
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params (`torch.tensor`): |
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|
The input parameters to optimize. |
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|
lr (`float`, defaults to 1e-3): |
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|
The learning rate. |
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|
betas (`tuple(float, float)`, defaults to (0.9, 0.999)): |
|
|
The beta values are the decay rates of the first and second-order moment of the optimizer. |
|
|
eps (`float`, defaults to 1e-8): |
|
|
The epsilon value prevents division by zero in the optimizer. |
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weight_decay (`float`, defaults to 0.0): |
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|
The weight decay value for the optimizer. |
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|
amsgrad (`bool`, defaults to `False`): |
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|
Whether to use the [AMSGrad](https://hf.co/papers/1904.09237) variant of Adam that uses the maximum of past squared gradients instead. |
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|
optim_bits (`int`, defaults to 32): |
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The number of bits of the optimizer state. |
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args (`object`, defaults to `None`): |
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|
An object with additional arguments. |
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|
min_8bit_size (`int`, defaults to 4096): |
|
|
The minimum number of elements of the parameter tensors for 8-bit optimization. |
|
|
percentile_clipping (`int`, defaults to 100): |
|
|
Adapts clipping threshold automatically by tracking the last 100 gradient norms and clipping the gradient at a certain percentile to improve stability. |
|
|
block_wise (`bool`, defaults to `True`): |
|
|
Whether to independently quantize each block of tensors to reduce outlier effects and improve stability. |
|
|
is_paged (`bool`, defaults to `False`): |
|
|
Whether the optimizer is a paged optimizer or not. |
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""" |
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super().__init__( |
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"adam", |
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params, |
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|
lr, |
|
|
betas, |
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|
eps, |
|
|
weight_decay, |
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|
8, |
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args, |
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min_8bit_size, |
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percentile_clipping, |
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block_wise, |
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is_paged=True, |
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) |
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class PagedAdam32bit(Optimizer2State): |
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def __init__( |
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self, |
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params, |
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lr=1e-3, |
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betas=(0.9, 0.999), |
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eps=1e-8, |
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weight_decay=0, |
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amsgrad=False, |
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optim_bits=32, |
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args=None, |
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min_8bit_size=4096, |
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percentile_clipping=100, |
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block_wise=True, |
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is_paged=False, |
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): |
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""" |
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Paged 32-bit Adam optimizer. |
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|
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Arguments: |
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params (`torch.tensor`): |
|
|
The input parameters to optimize. |
|
|
lr (`float`, defaults to 1e-3): |
|
|
The learning rate. |
|
|
betas (`tuple(float, float)`, defaults to (0.9, 0.999)): |
|
|
The beta values are the decay rates of the first and second-order moment of the optimizer. |
|
|
eps (`float`, defaults to 1e-8): |
|
|
The epsilon value prevents division by zero in the optimizer. |
|
|
weight_decay (`float`, defaults to 0.0): |
|
|
The weight decay value for the optimizer. |
|
|
amsgrad (`bool`, defaults to `False`): |
|
|
Whether to use the [AMSGrad](https://hf.co/papers/1904.09237) variant of Adam that uses the maximum of past squared gradients instead. |
|
|
optim_bits (`int`, defaults to 32): |
|
|
The number of bits of the optimizer state. |
|
|
args (`object`, defaults to `None`): |
|
|
An object with additional arguments. |
|
|
min_8bit_size (`int`, defaults to 4096): |
|
|
The minimum number of elements of the parameter tensors for 8-bit optimization. |
|
|
percentile_clipping (`int`, defaults to 100): |
|
|
Adapts clipping threshold automatically by tracking the last 100 gradient norms and clipping the gradient at a certain percentile to improve stability. |
|
|
block_wise (`bool`, defaults to `True`): |
|
|
Whether to independently quantize each block of tensors to reduce outlier effects and improve stability. |
|
|
is_paged (`bool`, defaults to `False`): |
|
|
Whether the optimizer is a paged optimizer or not. |
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|
""" |
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super().__init__( |
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"adam", |
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params, |
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lr, |
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betas, |
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|
eps, |
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|
weight_decay, |
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32, |
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args, |
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min_8bit_size, |
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percentile_clipping, |
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block_wise, |
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is_paged=True, |
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) |
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class AnalysisAdam(torch.optim.Optimizer): |
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"""Adam that performs 8-bit vs 32-bit error analysis. |
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|
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This implementation is modified from torch.optim.Adam based on: |
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`Fixed Weight Decay Regularization in Adam` |
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(see https://arxiv.org/abs/1711.05101) |
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|
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It has been proposed in `Adam: A Method for Stochastic Optimization`_. |
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|
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Arguments: |
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params (iterable): iterable of parameters to optimize or dicts defining |
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parameter groups |
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lr (float, optional): learning rate (default: 1e-3) |
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betas (Tuple[float, float], optional): coefficients used for computing |
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running averages of gradient and its square (default: (0.9, 0.999)) |
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eps (float, optional): term added to the denominator to improve |
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numerical stability (default: 1e-8) |
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weight_decay (float, optional): weight decay (L2 penalty) (default: 0) |
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amsgrad (boolean, optional): whether to use the AMSGrad variant of this |
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algorithm from the paper `On the Convergence of Adam and Beyond`_ |
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|
|
|
.. _Adam: A Method for Stochastic Optimization: |
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|
https://arxiv.org/abs/1412.6980 |
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|
.. _On the Convergence of Adam and Beyond: |
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|
https://openreview.net/forum?id=ryQu7f-RZ |
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|
""" |
|
|
|
|
|
def __init__( |
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self, |
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params, |
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lr=1e-3, |
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|
betas=(0.9, 0.999), |
|
|
eps=1e-8, |
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|
weight_decay=0, |
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|
amsgrad=False, |
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|
bnb_analysis="dynamic-blockwise", |
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|
savedir=None, |
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|
): |
|
|
defaults = dict( |
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lr=lr, |
|
|
betas=betas, |
|
|
eps=eps, |
|
|
weight_decay=weight_decay, |
|
|
amsgrad=amsgrad, |
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) |
|
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super().__init__(params, defaults) |
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|
self.analysis = bnb_analysis |
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|
self.savedir = savedir |
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|
|
|
@property |
|
|
def supports_memory_efficient_fp16(self): |
|
|
return True |
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|
|
|
|
@property |
|
|
def supports_flat_params(self): |
|
|
return True |
|
|
|
|
|
def step(self, closure=None): |
|
|
"""Performs a single optimization step. |
|
|
|
|
|
Arguments: |
|
|
closure (callable, optional): A closure that reevaluates the model |
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|
and returns the loss. |
|
|
""" |
|
|
loss = None |
|
|
if closure is not None: |
|
|
loss = closure() |
|
|
|
|
|
for group in self.param_groups: |
|
|
for p_id, p in enumerate(group["params"]): |
|
|
if p.grad is None: |
|
|
continue |
|
|
grad = p.grad.data |
|
|
if grad.dtype in {torch.float16, torch.bfloat16}: |
|
|
grad = grad.float() |
|
|
if grad.is_sparse: |
|
|
raise RuntimeError("Adam does not support sparse gradients, please consider SparseAdam instead") |
|
|
amsgrad = group.get("amsgrad", False) |
|
|
assert not amsgrad |
|
|
|
|
|
p_data_fp32 = p.data |
|
|
if p.data.dtype in {torch.float16, torch.bfloat16}: |
|
|
p_data_fp32 = p_data_fp32.float() |
|
|
|
|
|
state = self.state[p] |
|
|
|
|
|
|
|
|
if len(state) == 0: |
|
|
state["step"] = 0 |
|
|
|
|
|
state["exp_avg"] = torch.zeros_like(p_data_fp32) |
|
|
|
|
|
state["exp_avg_sq"] = torch.zeros_like(p_data_fp32) |
|
|
state["abserrors"] = torch.zeros((256, 256), device=p_data_fp32.device) |
|
|
state["relerrors"] = torch.zeros((256, 256), device=p_data_fp32.device) |
|
|
state["counts"] = torch.zeros((256, 256), device=p_data_fp32.device) |
|
|
if amsgrad: |
|
|
|
|
|
state["max_exp_avg_sq"] = torch.zeros_like(p_data_fp32) |
|
|
else: |
|
|
state["exp_avg"] = state["exp_avg"].to(p_data_fp32) |
|
|
state["exp_avg_sq"] = state["exp_avg_sq"].to(p_data_fp32) |
|
|
if amsgrad: |
|
|
state["max_exp_avg_sq"] = state["max_exp_avg_sq"].to(p_data_fp32) |
|
|
|
|
|
state["step"] += 1 |
|
|
beta1, beta2 = group["betas"] |
|
|
bias_correction1 = 1 - beta1 ** state["step"] |
|
|
bias_correction2 = 1 - beta2 ** state["step"] |
|
|
step_size = group["lr"] * math.sqrt(bias_correction2) / bias_correction1 |
|
|
e = state["abserrors"] |
|
|
rele = state["relerrors"] |
|
|
counts = state["counts"] |
|
|
|
|
|
if group["weight_decay"] != 0: |
|
|
p_data_fp32.add_(p_data_fp32, alpha=-group["weight_decay"] * group["lr"]) |
|
|
|
|
|
exp_avg, exp_avg_sq = state["exp_avg"], state["exp_avg_sq"] |
|
|
if amsgrad: |
|
|
max_exp_avg_sq = state["max_exp_avg_sq"] |
|
|
|
|
|
|
|
|
exp_avg.mul_(beta1).add_(grad, alpha=1 - beta1) |
|
|
exp_avg_sq.mul_(beta2).addcmul_(grad, grad, value=1 - beta2) |
|
|
|
|
|
denom = exp_avg_sq.sqrt().add_(group["eps"]) |
|
|
update_fp32 = exp_avg / denom |
|
|
|
|
|
if p_data_fp32.numel() <= 8192 or p_data_fp32.numel() > 50000 * 1000: |
|
|
|
|
|
p_data_fp32 += -step_size * update_fp32 |
|
|
else: |
|
|
if self.analysis == "dynamic-blockwise": |
|
|
code1 = F.create_dynamic_map(signed=True).to(p.device) |
|
|
code2 = F.create_dynamic_map(signed=False).to(p.device) |
|
|
C1, S1 = F.quantize_blockwise(exp_avg, code=code1) |
|
|
state1 = F.dequantize_blockwise(C1, S1) |
|
|
C2, S2 = F.quantize_blockwise(exp_avg_sq, code=code2) |
|
|
state2 = F.dequantize_blockwise(C2, S2) |
|
|
elif self.analysis == "dynamic": |
|
|
code1 = F.create_dynamic_map(signed=True).to(p.device) |
|
|
code2 = F.create_dynamic_map(signed=False).to(p.device) |
|
|
C1, S1 = F.quantize(exp_avg, code=code1) |
|
|
state1 = F.dequantize(C1, S1) |
|
|
C2, S2 = F.quantize(exp_avg_sq, code=code2) |
|
|
state2 = F.dequantize(C2, S2) |
|
|
elif self.analysis == "linear": |
|
|
code1 = F.create_linear_map(signed=True).to(p.device) |
|
|
code2 = F.create_linear_map(signed=False).to(p.device) |
|
|
C1, S1 = F.quantize(exp_avg, code=code1) |
|
|
state1 = F.dequantize(C1, S1) |
|
|
C2, S2 = F.quantize(exp_avg_sq, code=code2) |
|
|
state2 = F.dequantize(C2, S2) |
|
|
elif self.analysis == "quantile": |
|
|
code1 = F.estimate_quantiles(exp_avg) |
|
|
code2 = F.estimate_quantiles(exp_avg_sq) |
|
|
C1 = F.quantize_no_absmax(exp_avg, code=code1) |
|
|
state1 = F.dequantize_no_absmax(C1, code1) |
|
|
C2 = F.quantize_no_absmax(exp_avg_sq, code=code2) |
|
|
state2 = F.dequantize_no_absmax(C2, code2) |
|
|
elif self.analysis == "my-quantization-routine": |
|
|
pass |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
else: |
|
|
raise ValueError(f"Invalid analysis value: {self.analysis}!") |
|
|
|
|
|
denom = state2.sqrt().add_(group["eps"]) |
|
|
update_8bit = state1 / denom |
|
|
|
|
|
abserr = torch.abs(update_8bit - update_fp32) |
|
|
relerr = abserr / torch.abs(update_fp32 + 1e-6) |
|
|
|
|
|
C1, C2 = C1.int(), C2.int() |
|
|
|
|
|
F.histogram_scatter_add_2d(e, C1.int(), C2.int(), abserr) |
|
|
F.histogram_scatter_add_2d(rele, C1.int(), C2.int(), relerr) |
|
|
F.histogram_scatter_add_2d(counts, C1.int(), C2.int(), torch.ones_like(abserr)) |
|
|
|
|
|
p_data_fp32 += -step_size * update_fp32 |
|
|
|
|
|
if not dist.is_initialized() or dist.get_rank() == 0: |
|
|
if self.savedir != "" and state["step"] % 100 == 0: |
|
|
if not os.path.exists(self.savedir): |
|
|
os.makedirs(self.savedir) |
|
|
shapestr = "_".join([str(dim) for dim in p_data_fp32.shape]) |
|
|
pathe = os.path.join(self.savedir, f"{p_id}_{shapestr}_abserr.pkl") |
|
|
pathrele = os.path.join(self.savedir, f"{p_id}_{shapestr}_relerr.pkl") |
|
|
pathcounts = os.path.join(self.savedir, f"{p_id}_{shapestr}_counts.pkl") |
|
|
torch.save(e, pathe) |
|
|
torch.save(rele, pathrele) |
|
|
torch.save(counts, pathcounts) |
|
|
|
|
|
if p.data.dtype in {torch.float16, torch.bfloat16}: |
|
|
p.data.copy_(p_data_fp32) |
|
|
|
|
|
return loss |
|
|
|