Orthogonal Finetuning (OFT and BOFT)

This conceptual guide gives a brief overview of OFT and BOFT, a parameter-efficient fine-tuning technique that utilizes orthogonal matrix to multiplicatively transform the pretrained weight matrices.

To achieve efficient fine-tuning, OFT represents the weight updates with an orthogonal transformation. The orthogonal transformation is parameterized by an orthogonal matrix multiplied to the pretrained weight matrix. These new matrices can be trained to adapt to the new data while keeping the overall number of changes low. The original weight matrix remains frozen and doesn’t receive any further adjustments. To produce the final results, both the original and the adapted weights are multiplied togethor.

Orthogonal Butterfly (BOFT) generalizes OFT with Butterfly factorization and further improves its parameter efficiency and finetuning flexibility. In short, OFT can be viewed as a special case of BOFT. Different from LoRA that uses additive low-rank weight updates, BOFT uses multiplicative orthogonal weight updates. The comparison is shown below.

BOFT has some advantages compared to LoRA:

In principle, BOFT can be applied to any subset of weight matrices in a neural network to reduce the number of trainable parameters. Given the target layers for injecting BOFT parameters, the number of trainable parameters can be determined based on the size of the weight matrices.

Merge OFT/BOFT weights into the base model

Similar to LoRA, the weights learned by OFT/BOFT can be integrated into the pretrained weight matrices using the merge_and_unload() function. This function merges the adapter weights with the base model which allows you to effectively use the newly merged model as a standalone model.

This works because during training, the orthogonal weight matrix (R in the diagram above) and the pretrained weight matrices are separate. But once training is complete, these weights can actually be merged (multiplied) into a new weight matrix that is equivalent.

Utils for OFT / BOFT

Common OFT / BOFT parameters in PEFT

As with other methods supported by PEFT, to fine-tune a model using OFT or BOFT, you need to:

  1. Instantiate a base model.
  2. Create a configuration (OFTConfig or BOFTConfig) where you define OFT/BOFT-specific parameters.
  3. Wrap the base model with get_peft_model() to get a trainable PeftModel.
  4. Train the PeftModel as you normally would train the base model.

BOFT-specific paramters

BOFTConfig allows you to control how OFT/BOFT is applied to the base model through the following parameters:

BOFT Example Usage

For an example of the BOFT method application to various downstream tasks, please refer to the following guides:

Take a look at the following step-by-step guides on how to finetune a model with BOFT:

For the task of image classification, one can initialize the BOFT config for a DinoV2 model as follows:

import transformers
from transformers import AutoModelForSeq2SeqLM, BOFTConfig
from peft import BOFTConfig, get_peft_model

config = BOFTConfig(
    boft_block_size=4,
    boft_n_butterfly_factor=2,
    target_modules=["query", "value", "key", "output.dense", "mlp.fc1", "mlp.fc2"],
    boft_dropout=0.1,
    bias="boft_only",
    modules_to_save=["classifier"],
)

model = transformers.Dinov2ForImageClassification.from_pretrained(
    "facebook/dinov2-large",
    num_labels=100,
)

boft_model = get_peft_model(model, config)
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