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"""
Usage:
python low_rank_lora.py --filename="How2Draw-V2_000002800.safetensors" \
--new_rank=4 --new_lora_path="How2Draw-V2_000002800_rank_4.safetensors"
"""
import torch
import safetensors.torch
import fire
def sparse_random_projection_matrix(original_rank, new_rank, density=0.1):
"""
Generates a sparse random projection matrix.
Args:
original_rank (int): Original rank (number of rows).
new_rank (int): Reduced rank (number of columns).
density (float): Fraction of non-zero elements.
Returns:
R (torch.Tensor): Sparse random projection matrix.
"""
R = torch.zeros(new_rank, original_rank)
num_nonzero = int(density * original_rank)
for i in range(new_rank):
indices = torch.randperm(original_rank)[:num_nonzero]
values = torch.randn(num_nonzero)
R[i, indices] = values
return R / torch.sqrt(torch.tensor(new_rank, dtype=torch.float32))
def reduce_lora_rank_random_projection(lora_A, lora_B, new_rank=4, use_sparse=False):
"""
Reduces the rank of LoRA matrices lora_A and lora_B using random projections.
Args:
lora_A (torch.Tensor): Original lora_A matrix of shape [original_rank, in_features].
lora_B (torch.Tensor): Original lora_B matrix of shape [out_features, original_rank].
new_rank (int): Desired lower rank.
use_sparse (bool): Use sparse projection matrix.
Returns:
lora_A_new (torch.Tensor): Reduced lora_A matrix of shape [new_rank, in_features].
lora_B_new (torch.Tensor): Reduced lora_B matrix of shape [out_features, new_rank].
"""
original_rank = lora_A.shape[0] # Assuming lora_A.shape = [original_rank, in_features]
# Generate random projection matrix
if use_sparse:
R = sparse_random_projection_matrix(original_rank=original_rank, new_rank=new_rank)
else:
R = torch.randn(new_rank, original_rank, dtype=torch.float32) / torch.sqrt(
torch.tensor(new_rank, dtype=torch.float32)
)
R = R.to(lora_A.device, torch.float32)
# Ensure computations are in float32
lora_A = lora_A.to(torch.float32)
lora_B = lora_B.to(torch.float32)
# Project lora_A and lora_B
lora_A_new = (R @ lora_A).to(lora_A.dtype) # Shape: [new_rank, in_features]
lora_B_new = (lora_B @ R.T).to(lora_B.dtype) # Shape: [out_features, new_rank]
return lora_A_new, lora_B_new
def reduce_lora_rank_state_dict_random_projection(state_dict, new_rank=4, use_sparse=False):
"""
Reduces the rank of all LoRA matrices in the given state dict using random projections.
Supports both `ai-toolkit` and `sd-scripts` formats.
Args:
state_dict (dict): The state dict containing LoRA matrices.
new_rank (int): Desired lower rank.
use_sparse (bool): Use sparse projection matrix.
Returns:
new_state_dict (dict): State dict with reduced-rank LoRA matrices.
"""
new_state_dict = state_dict.copy()
keys = list(state_dict.keys())
# Detect format (ai-toolkit or sd-scripts)
is_sd_scripts = any(".lora_down.weight" in key for key in keys)
for key in keys:
if is_sd_scripts and "lora_down.weight" in key: # Handle sd-scripts format
# Find corresponding .lora_up.weight and .alpha
lora_down_key = key
lora_up_key = key.replace("lora_down.weight", "lora_up.weight")
alpha_key = key.replace("lora_down.weight", "alpha")
if lora_up_key in state_dict:
lora_down = state_dict[lora_down_key]
lora_up = state_dict[lora_up_key]
alpha = state_dict.get(alpha_key, torch.tensor(1.0))
# Scale by alpha (sd-scripts uses scaled LoRA weights)
scale = alpha.item() / lora_down.shape[0]
lora_down *= scale
lora_up *= scale
# Reduce rank
lora_down_new, lora_up_new = reduce_lora_rank_random_projection(
lora_down, lora_up, new_rank=new_rank, use_sparse=use_sparse
)
# Update state dict
new_state_dict[lora_down_key] = lora_down_new
new_state_dict[lora_up_key] = lora_up_new
new_state_dict[alpha_key] = torch.scalar_tensor(new_rank, dtype=lora_down.dtype)
elif not is_sd_scripts and ".lora_A.weight" in key: # Handle ai-toolkit format
# Find corresponding .lora_B.weight
lora_A_key = key
lora_B_key = key.replace(".lora_A.weight", ".lora_B.weight")
if lora_B_key in state_dict:
lora_A = state_dict[lora_A_key]
lora_B = state_dict[lora_B_key]
# Reduce rank
lora_A_new, lora_B_new = reduce_lora_rank_random_projection(
lora_A, lora_B, new_rank=new_rank, use_sparse=use_sparse
)
# Update state dict
new_state_dict[lora_A_key] = lora_A_new
new_state_dict[lora_B_key] = lora_B_new
return new_state_dict
def compare_approximation_error(orig_state_dict, new_state_dict):
"""
Compares the approximation error between the original and new state dicts.
"""
for key in orig_state_dict:
if "lora_A.weight" in key or "lora_down.weight" in key:
if "lora_A.weight" in key:
lora_A_key = key
lora_B_key = key.replace("lora_A.weight", "lora_B.weight")
else:
lora_A_key = key
lora_B_key = key.replace("lora_down.weight", "lora_up.weight")
lora_A_old = orig_state_dict[lora_A_key]
lora_B_old = orig_state_dict[lora_B_key]
lora_A_new = new_state_dict[lora_A_key]
lora_B_new = new_state_dict[lora_B_key]
# Original delta_W
delta_W_old = (lora_B_old @ lora_A_old).to("cuda")
# Approximated delta_W
delta_W_new = lora_B_new @ lora_A_new
# Compute the approximation error
error = torch.norm(delta_W_old - delta_W_new, p="fro") / torch.norm(delta_W_old, p="fro")
print(f"Relative error for {lora_A_key}: {error.item():.6f}")
def main(
filename: str,
new_rank: int,
use_sparse: bool = False,
check_error: bool = False,
new_lora_path: str = None,
):
"""
Main function for reducing LoRA rank.
"""
if new_lora_path is None:
raise ValueError("Please provide a path to serialize the converted state dict.")
print(f"Loading safetensors file from: {filename}")
try:
original_state_dict = safetensors.torch.load_file(filename)
print("File loaded successfully.")
except Exception as e:
print(f"Error loading file: {e}")
return
# Reduce the rank of LoRA matrices
new_state_dict = reduce_lora_rank_state_dict_random_projection(
original_state_dict, new_rank=new_rank, use_sparse=use_sparse
)
# Optional: Compare the approximation error
if check_error:
compare_approximation_error(original_state_dict, new_state_dict)
# Save the reduced LoRA weights
print(f"Saving new LoRA state dict to: {new_lora_path}")
safetensors.torch.save_file({k: v.to("cpu").contiguous() for k, v in new_state_dict.items()}, new_lora_path)
print(f"File saved successfully at {new_lora_path}")
if __name__ == "__main__":
fire.Fire(main)