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"""PyTorch optimization for diffusion models.""" |
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import math |
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from enum import Enum |
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from typing import Optional, Union |
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from torch.optim import Optimizer |
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from torch.optim.lr_scheduler import LambdaLR |
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from .utils import logging |
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logger = logging.get_logger(__name__) |
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class SchedulerType(Enum): |
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LINEAR = "linear" |
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COSINE = "cosine" |
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COSINE_WITH_RESTARTS = "cosine_with_restarts" |
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POLYNOMIAL = "polynomial" |
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CONSTANT = "constant" |
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CONSTANT_WITH_WARMUP = "constant_with_warmup" |
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def get_constant_schedule(optimizer: Optimizer, last_epoch: int = -1): |
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""" |
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Create a schedule with a constant learning rate, using the learning rate set in optimizer. |
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Args: |
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optimizer ([`~torch.optim.Optimizer`]): |
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The optimizer for which to schedule the learning rate. |
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last_epoch (`int`, *optional*, defaults to -1): |
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The index of the last epoch when resuming training. |
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Return: |
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`torch.optim.lr_scheduler.LambdaLR` with the appropriate schedule. |
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""" |
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return LambdaLR(optimizer, lambda _: 1, last_epoch=last_epoch) |
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def get_constant_schedule_with_warmup(optimizer: Optimizer, num_warmup_steps: int, last_epoch: int = -1): |
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""" |
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Create a schedule with a constant learning rate preceded by a warmup period during which the learning rate |
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increases linearly between 0 and the initial lr set in the optimizer. |
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Args: |
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optimizer ([`~torch.optim.Optimizer`]): |
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The optimizer for which to schedule the learning rate. |
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num_warmup_steps (`int`): |
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The number of steps for the warmup phase. |
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last_epoch (`int`, *optional*, defaults to -1): |
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The index of the last epoch when resuming training. |
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Return: |
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`torch.optim.lr_scheduler.LambdaLR` with the appropriate schedule. |
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""" |
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def lr_lambda(current_step: int): |
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if current_step < num_warmup_steps: |
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return float(current_step) / float(max(1.0, num_warmup_steps)) |
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return 1.0 |
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return LambdaLR(optimizer, lr_lambda, last_epoch=last_epoch) |
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def get_linear_schedule_with_warmup(optimizer, num_warmup_steps, num_training_steps, last_epoch=-1): |
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""" |
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Create a schedule with a learning rate that decreases linearly from the initial lr set in the optimizer to 0, after |
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a warmup period during which it increases linearly from 0 to the initial lr set in the optimizer. |
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Args: |
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optimizer ([`~torch.optim.Optimizer`]): |
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The optimizer for which to schedule the learning rate. |
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num_warmup_steps (`int`): |
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The number of steps for the warmup phase. |
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num_training_steps (`int`): |
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The total number of training steps. |
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last_epoch (`int`, *optional*, defaults to -1): |
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The index of the last epoch when resuming training. |
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Return: |
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`torch.optim.lr_scheduler.LambdaLR` with the appropriate schedule. |
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""" |
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def lr_lambda(current_step: int): |
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if current_step < num_warmup_steps: |
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return float(current_step) / float(max(1, num_warmup_steps)) |
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return max( |
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0.0, float(num_training_steps - current_step) / float(max(1, num_training_steps - num_warmup_steps)) |
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) |
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return LambdaLR(optimizer, lr_lambda, last_epoch) |
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def get_cosine_schedule_with_warmup( |
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optimizer: Optimizer, num_warmup_steps: int, num_training_steps: int, num_cycles: float = 0.5, last_epoch: int = -1 |
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): |
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""" |
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Create a schedule with a learning rate that decreases following the values of the cosine function between the |
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initial lr set in the optimizer to 0, after a warmup period during which it increases linearly between 0 and the |
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initial lr set in the optimizer. |
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Args: |
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optimizer ([`~torch.optim.Optimizer`]): |
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The optimizer for which to schedule the learning rate. |
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num_warmup_steps (`int`): |
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The number of steps for the warmup phase. |
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num_training_steps (`int`): |
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The total number of training steps. |
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num_cycles (`float`, *optional*, defaults to 0.5): |
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The number of waves in the cosine schedule (the defaults is to just decrease from the max value to 0 |
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following a half-cosine). |
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last_epoch (`int`, *optional*, defaults to -1): |
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The index of the last epoch when resuming training. |
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Return: |
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`torch.optim.lr_scheduler.LambdaLR` with the appropriate schedule. |
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""" |
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def lr_lambda(current_step): |
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if current_step < num_warmup_steps: |
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return float(current_step) / float(max(1, num_warmup_steps)) |
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progress = float(current_step - num_warmup_steps) / float(max(1, num_training_steps - num_warmup_steps)) |
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return max(0.0, 0.5 * (1.0 + math.cos(math.pi * float(num_cycles) * 2.0 * progress))) |
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return LambdaLR(optimizer, lr_lambda, last_epoch) |
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def get_cosine_with_hard_restarts_schedule_with_warmup( |
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optimizer: Optimizer, num_warmup_steps: int, num_training_steps: int, num_cycles: int = 1, last_epoch: int = -1 |
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): |
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""" |
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Create a schedule with a learning rate that decreases following the values of the cosine function between the |
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initial lr set in the optimizer to 0, with several hard restarts, after a warmup period during which it increases |
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linearly between 0 and the initial lr set in the optimizer. |
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Args: |
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optimizer ([`~torch.optim.Optimizer`]): |
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The optimizer for which to schedule the learning rate. |
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num_warmup_steps (`int`): |
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The number of steps for the warmup phase. |
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num_training_steps (`int`): |
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The total number of training steps. |
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num_cycles (`int`, *optional*, defaults to 1): |
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The number of hard restarts to use. |
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last_epoch (`int`, *optional*, defaults to -1): |
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The index of the last epoch when resuming training. |
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Return: |
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`torch.optim.lr_scheduler.LambdaLR` with the appropriate schedule. |
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""" |
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def lr_lambda(current_step): |
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if current_step < num_warmup_steps: |
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return float(current_step) / float(max(1, num_warmup_steps)) |
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progress = float(current_step - num_warmup_steps) / float(max(1, num_training_steps - num_warmup_steps)) |
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if progress >= 1.0: |
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return 0.0 |
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return max(0.0, 0.5 * (1.0 + math.cos(math.pi * ((float(num_cycles) * progress) % 1.0)))) |
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return LambdaLR(optimizer, lr_lambda, last_epoch) |
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def get_polynomial_decay_schedule_with_warmup( |
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optimizer, num_warmup_steps, num_training_steps, lr_end=1e-7, power=1.0, last_epoch=-1 |
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): |
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""" |
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Create a schedule with a learning rate that decreases as a polynomial decay from the initial lr set in the |
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optimizer to end lr defined by *lr_end*, after a warmup period during which it increases linearly from 0 to the |
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initial lr set in the optimizer. |
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Args: |
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optimizer ([`~torch.optim.Optimizer`]): |
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The optimizer for which to schedule the learning rate. |
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num_warmup_steps (`int`): |
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The number of steps for the warmup phase. |
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num_training_steps (`int`): |
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The total number of training steps. |
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lr_end (`float`, *optional*, defaults to 1e-7): |
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The end LR. |
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power (`float`, *optional*, defaults to 1.0): |
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Power factor. |
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last_epoch (`int`, *optional*, defaults to -1): |
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The index of the last epoch when resuming training. |
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Note: *power* defaults to 1.0 as in the fairseq implementation, which in turn is based on the original BERT |
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implementation at |
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https://github.com/google-research/bert/blob/f39e881b169b9d53bea03d2d341b31707a6c052b/optimization.py#L37 |
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Return: |
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`torch.optim.lr_scheduler.LambdaLR` with the appropriate schedule. |
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""" |
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lr_init = optimizer.defaults["lr"] |
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if not (lr_init > lr_end): |
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raise ValueError(f"lr_end ({lr_end}) must be be smaller than initial lr ({lr_init})") |
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def lr_lambda(current_step: int): |
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if current_step < num_warmup_steps: |
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return float(current_step) / float(max(1, num_warmup_steps)) |
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elif current_step > num_training_steps: |
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return lr_end / lr_init |
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else: |
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lr_range = lr_init - lr_end |
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decay_steps = num_training_steps - num_warmup_steps |
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pct_remaining = 1 - (current_step - num_warmup_steps) / decay_steps |
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decay = lr_range * pct_remaining**power + lr_end |
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return decay / lr_init |
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return LambdaLR(optimizer, lr_lambda, last_epoch) |
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TYPE_TO_SCHEDULER_FUNCTION = { |
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SchedulerType.LINEAR: get_linear_schedule_with_warmup, |
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SchedulerType.COSINE: get_cosine_schedule_with_warmup, |
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SchedulerType.COSINE_WITH_RESTARTS: get_cosine_with_hard_restarts_schedule_with_warmup, |
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SchedulerType.POLYNOMIAL: get_polynomial_decay_schedule_with_warmup, |
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SchedulerType.CONSTANT: get_constant_schedule, |
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SchedulerType.CONSTANT_WITH_WARMUP: get_constant_schedule_with_warmup, |
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} |
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def get_scheduler( |
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name: Union[str, SchedulerType], |
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optimizer: Optimizer, |
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num_warmup_steps: Optional[int] = None, |
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num_training_steps: Optional[int] = None, |
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): |
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""" |
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Unified API to get any scheduler from its name. |
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Args: |
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name (`str` or `SchedulerType`): |
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The name of the scheduler to use. |
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optimizer (`torch.optim.Optimizer`): |
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The optimizer that will be used during training. |
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num_warmup_steps (`int`, *optional*): |
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The number of warmup steps to do. This is not required by all schedulers (hence the argument being |
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optional), the function will raise an error if it's unset and the scheduler type requires it. |
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num_training_steps (`int``, *optional*): |
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The number of training steps to do. This is not required by all schedulers (hence the argument being |
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optional), the function will raise an error if it's unset and the scheduler type requires it. |
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""" |
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name = SchedulerType(name) |
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schedule_func = TYPE_TO_SCHEDULER_FUNCTION[name] |
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if name == SchedulerType.CONSTANT: |
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return schedule_func(optimizer) |
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if num_warmup_steps is None: |
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raise ValueError(f"{name} requires `num_warmup_steps`, please provide that argument.") |
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if name == SchedulerType.CONSTANT_WITH_WARMUP: |
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return schedule_func(optimizer, num_warmup_steps=num_warmup_steps) |
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if num_training_steps is None: |
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raise ValueError(f"{name} requires `num_training_steps`, please provide that argument.") |
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return schedule_func(optimizer, num_warmup_steps=num_warmup_steps, num_training_steps=num_training_steps) |
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