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# SGD
Stochastic gradient descent (SGD) is a basic gradient descent optimizer to minimize loss given a set of model parameters and updates the parameters in the opposite direction of the gradient. The update is performed on a randomly sampled mini-batch of data from the dataset.
bitsandbytes also supports momentum and Nesterov momentum to accelerate SGD by adding a weighted average of past gradients to the current gradient.
## SGD[[api-class]][[bitsandbytes.optim.SGD]]
#### bitsandbytes.optim.SGD[[bitsandbytes.optim.SGD]]
[Source](https://github.com/bitsandbytes-foundation/bitsandbytes/blob/main/bitsandbytes/optim/sgd.py#L8)
__init__bitsandbytes.optim.SGD.__init__https://github.com/bitsandbytes-foundation/bitsandbytes/blob/main/bitsandbytes/optim/sgd.py#L9[{"name": "params", "val": ""}, {"name": "lr", "val": ""}, {"name": "momentum", "val": " = 0"}, {"name": "dampening", "val": " = 0"}, {"name": "weight_decay", "val": " = 0"}, {"name": "nesterov", "val": " = False"}, {"name": "optim_bits", "val": " = 32"}, {"name": "args", "val": " = None"}, {"name": "min_8bit_size", "val": " = 4096"}]- **params** (`torch.tensor`) --
The input parameters to optimize.
- **lr** (`float`) --
The learning rate.
- **momentum** (`float`, defaults to 0) --
The momentum value speeds up the optimizer by taking bigger steps.
- **dampening** (`float`, defaults to 0) --
The dampening value reduces the momentum of the optimizer.
- **weight_decay** (`float`, defaults to 0.0) --
The weight decay value for the optimizer.
- **nesterov** (`bool`, defaults to `False`) --
Whether to use Nesterov momentum.
- **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.0
Base SGD optimizer.
**Parameters:**
params (`torch.tensor`) : The input parameters to optimize.
lr (`float`) : The learning rate.
momentum (`float`, defaults to 0) : The momentum value speeds up the optimizer by taking bigger steps.
dampening (`float`, defaults to 0) : The dampening value reduces the momentum of the optimizer.
weight_decay (`float`, defaults to 0.0) : The weight decay value for the optimizer.
nesterov (`bool`, defaults to `False`) : Whether to use Nesterov momentum.
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.
## SGD8bit[[bitsandbytes.optim.SGD8bit]]
#### bitsandbytes.optim.SGD8bit[[bitsandbytes.optim.SGD8bit]]
[Source](https://github.com/bitsandbytes-foundation/bitsandbytes/blob/main/bitsandbytes/optim/sgd.py#L59)
__init__bitsandbytes.optim.SGD8bit.__init__https://github.com/bitsandbytes-foundation/bitsandbytes/blob/main/bitsandbytes/optim/sgd.py#L60[{"name": "params", "val": ""}, {"name": "lr", "val": ""}, {"name": "momentum", "val": " = 0"}, {"name": "dampening", "val": " = 0"}, {"name": "weight_decay", "val": " = 0"}, {"name": "nesterov", "val": " = False"}, {"name": "args", "val": " = None"}, {"name": "min_8bit_size", "val": " = 4096"}]- **params** (`torch.tensor`) --
The input parameters to optimize.
- **lr** (`float`) --
The learning rate.
- **momentum** (`float`, defaults to 0) --
The momentum value speeds up the optimizer by taking bigger steps.
- **dampening** (`float`, defaults to 0) --
The dampening value reduces the momentum of the optimizer.
- **weight_decay** (`float`, defaults to 0.0) --
The weight decay value for the optimizer.
- **nesterov** (`bool`, defaults to `False`) --
Whether to use Nesterov momentum.
- **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.0
8-bit SGD optimizer.
**Parameters:**
params (`torch.tensor`) : The input parameters to optimize.
lr (`float`) : The learning rate.
momentum (`float`, defaults to 0) : The momentum value speeds up the optimizer by taking bigger steps.
dampening (`float`, defaults to 0) : The dampening value reduces the momentum of the optimizer.
weight_decay (`float`, defaults to 0.0) : The weight decay value for the optimizer.
nesterov (`bool`, defaults to `False`) : Whether to use Nesterov momentum.
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.
## SGD32bit[[bitsandbytes.optim.SGD32bit]]
#### bitsandbytes.optim.SGD32bit[[bitsandbytes.optim.SGD32bit]]
[Source](https://github.com/bitsandbytes-foundation/bitsandbytes/blob/main/bitsandbytes/optim/sgd.py#L107)
__init__bitsandbytes.optim.SGD32bit.__init__https://github.com/bitsandbytes-foundation/bitsandbytes/blob/main/bitsandbytes/optim/sgd.py#L108[{"name": "params", "val": ""}, {"name": "lr", "val": ""}, {"name": "momentum", "val": " = 0"}, {"name": "dampening", "val": " = 0"}, {"name": "weight_decay", "val": " = 0"}, {"name": "nesterov", "val": " = False"}, {"name": "args", "val": " = None"}, {"name": "min_8bit_size", "val": " = 4096"}]- **params** (`torch.tensor`) --
The input parameters to optimize.
- **lr** (`float`) --
The learning rate.
- **momentum** (`float`, defaults to 0) --
The momentum value speeds up the optimizer by taking bigger steps.
- **dampening** (`float`, defaults to 0) --
The dampening value reduces the momentum of the optimizer.
- **weight_decay** (`float`, defaults to 0.0) --
The weight decay value for the optimizer.
- **nesterov** (`bool`, defaults to `False`) --
Whether to use Nesterov momentum.
- **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.0
32-bit SGD optimizer.
**Parameters:**
params (`torch.tensor`) : The input parameters to optimize.
lr (`float`) : The learning rate.
momentum (`float`, defaults to 0) : The momentum value speeds up the optimizer by taking bigger steps.
dampening (`float`, defaults to 0) : The dampening value reduces the momentum of the optimizer.
weight_decay (`float`, defaults to 0.0) : The weight decay value for the optimizer.
nesterov (`bool`, defaults to `False`) : Whether to use Nesterov momentum.
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.

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