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Model Merging by Uncertainty-Based Gradient Matching (2310.12808v2)

Published 19 Oct 2023 in cs.LG, cs.AI, and cs.CL

Abstract: Models trained on different datasets can be merged by a weighted-averaging of their parameters, but why does it work and when can it fail? Here, we connect the inaccuracy of weighted-averaging to mismatches in the gradients and propose a new uncertainty-based scheme to improve the performance by reducing the mismatch. The connection also reveals implicit assumptions in other schemes such as averaging, task arithmetic, and Fisher-weighted averaging. Our new method gives consistent improvements for LLMs and vision transformers, both in terms of performance and robustness to hyperparameters. Code available here.

Citations (30)

Summary

  • The paper introduces an uncertainty-based scheme that reduces gradient mismatch and significantly improves model merging outcomes.
  • It leverages second-order Hessian estimates to precondition parameters, resulting in enhanced robustness over traditional merging methods.
  • The approach offers practical benefits for transfer learning and model adaptation, while paving the way for refined Bayesian integration strategies.

An Analysis of Model Merging by Uncertainty-Based Gradient Matching

The paper "Model Merging by Uncertainty-Based Gradient Matching" investigates the process of combining deep learning models through parameter averaging. This technique has become prominent due to its applicability in adaptation tasks, such as improving model generalization or eliminating toxicity from linguistic models, without needing comprehensive retraining. The authors critically examine the underpinnings of these methods, identify potential shortcomings arising from gradient mismatches, and propose a novel uncertainty-based scheme intended to mitigate these discrepancies.

Overview of Model Merging Techniques

Model merging typically involves weighted averaging of parameters derived from architectures trained across diverse datasets. Traditional methods like arithmetic mean, linear interpolation, and Fisher-weighted averaging operate on varying assumptions about the models’ loss landscapes. These methods generally rely on the concept of linear mode connectivity, suggesting low-loss basins in which interpolated models can perform optimally. However, these methods do not sufficiently address when one merging scheme might outperform another or how they can be appropriately enhanced.

Uncertainty-Based Gradient Matching Approach

The central contribution of this paper is in establishing a link between the efficacy of model parameter averaging and gradient mismatches across models targeting shared tasks. The authors propose a second-order approximation strategy that leverages Hessian estimates—a measure of uncertainty—to minimize these mismatches. This forms the architectural basis for a new model merging paradigm designed to scale efficiently and improve robustness in merging LLMs and vision transformers (ViTs).

The authors formulate this by equating the error due to weighted-averaging to the mismatch in gradients, providing insight into implicit assumptions present in traditional methods. By reducing the mismatch through tailored preconditioning with estimated Hessians, the proposed method shows significant improvements in performance and hyperparameter robustness over existing techniques. Specifically, the experiments demonstrate that the proposed method consistently lowers test errors and enhances overall model performance when compared to task arithmetic or simple averaging methods.

Implications and Future Directions

The implications of this research span practical and theoretical dimensions. Practically, leveraging uncertainty through Hessian approximations allows for more stable and effective model merging, which is essential in areas like transfer learning and model editing. Theoretically, the connection drawn to Bayesian methods promises further exploration of exact solutions for data integration and task generalization in model training.

Future research might explore the Bayesian insights, extending them toward more complex variational strategies or leveraging adaptive techniques for more refined posterior approximations. These developments could lead to superior and more computationally efficient methods for generative tasks, as Bayesian frameworks inherently support uncertainty quantification.

In summary, this paper advances the understanding of model merging in deep learning and provides a rigorously derived methodology with promising implications for enhancing model adaptability and efficiency. The authors’ contributions elucidate the subtle yet critical role of gradient mismatches and point to innovative directions for refining model integration across disparate datasets.

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