PAC-tuning:Fine-tuning Pretrained Language Models with PAC-driven
  Perturbed Gradient Descent
Guangliang Liu Zhiyu Xue Xitong Zhang Kristen Marie Johnson Rongrong Wang
Fine-tuning pretrained language models (PLMs) for downstream tasks is a
large-scale optimization problem, in which the choice of the training algorithm
critically determines how well the trained model can generalize to unseen test
data, especially in the context of few-shot learning. To achieve good
generalization performance and avoid overfitting, techniques such as data
augmentation and pruning are often applied. However, adding these
regularizations necessitates heavy tuning of the hyperparameters of
optimization algorithms, such as the popular Adam optimizer. In this paper, we
propose a two-stage fine-tuning method, PAC-tuning, to address this
optimization challenge. First, based on PAC-Bayes training, PAC-tuning directly
minimizes the PAC-Bayes generalization bound to learn proper parameter
distribution. Second, PAC-tuning modifies the gradient by injecting noise with
the variance learned in the first stage into the model parameters during
training, resulting in a variant of perturbed gradient descent (PGD). In the
past, the few-shot scenario posed difficulties for PAC-Bayes training because
the PAC-Bayes bound, when applied to large models with limited training data,
might not be stringent. Our experimental results across 5 GLUE benchmark tasks
demonstrate that PAC-tuning successfully handles the challenges of fine-tuning
tasks and outperforms strong baseline methods by a visible margin, further
confirming the potential to apply PAC training for any other settings where the
Adam optimizer is currently used for training.