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Superposition in Transformers: A Novel Way of Building Mixture of Experts

Published 31 Dec 2024 in cs.CL and cs.AI | (2501.00530v2)

Abstract: Catastrophic forgetting remains a major challenge when adapting LLMs to new tasks or domains. Conventional fine-tuning often overwrites existing knowledge, causing performance degradation on original tasks. We introduce Superposition in Transformers, a novel architecture that leverages autoencoders to superimpose the hidden representations of a base model and a fine-tuned model within a shared parameter space. By using B-spline-based blending coefficients and autoencoders that adaptively reconstruct hidden states based on the input data distribution, our method effectively mitigates catastrophic forgetting and enables a new paradigm of "in-model" superposition. This approach preserves original model capabilities while allowing compact domain-specific expertise to be added, and it supports dynamic switching between model states during inference.

Summary

  • The paper presents "Superposition in Transformers," a novel, parameter-efficient approach using autoencoders and B-spline blending to merge base and fine-tuned models in a shared space, mitigating catastrophic forgetting without large parameter expansion.
  • This method blends hidden states through adaptive B-spline coefficients and uses autoencoders to reconstruct hidden states based on input data, allowing dynamic switching between base and fine-tuned capabilities during inference.
  • Experimental evaluation using a base GPT-2 and a fine-tuned French GPT-2 demonstrated improved perplexity and accuracy compared to baseline methods, confirming the approach's ability to effectively merge representations and toggle domains.

Superposition in Transformers: A Novel Way of Building Mixture of Experts

The paper "Superposition in Transformers: A Novel Way of Building Mixture of Experts" presents an innovative approach to overcoming the prevalent challenge of catastrophic forgetting in fine-tuning LLMs. The authors tackle this problem by introducing a novel architecture called "Superposition in Transformers," which strategically employs autoencoders and B-spline blending techniques to superimpose the hidden representations of both the base and fine-tuned models within a shared parameter space.

This approach addresses notable limitations associated with the Mixture of Experts (MoE) models by providing a parameter-efficient alternative. Traditional MoE models often necessitate substantial parameter expansions and complex gating mechanisms, which hinder their practical application. The superposition approach, on the other hand, achieves efficiency by blending hidden states through adaptive B-spline-based coefficients and using autoencoders to reconstruct hidden states based on the input data's distribution. Importantly, the method supports dynamic switching between model states during inference, thus preserving the model's original capabilities while integrating domain-specific expertise.

Key Contributions

  • Autoencoder-Based Superposition: The paper introduces the use of autoencoders to reconstruct hidden states, either from the base or fine-tuned model, effectively acting as a gating system and mitigating catastrophic forgetting.
  • Jointly Learned B-Spline Blending: Blending coefficients are trained jointly with the autoencoders, establishing a balance that preserves each model's capabilities while limiting the introduction of additional parameters.
  • Parameter Efficiency: The method retains most of each model’s parameters in a frozen state, learning only small auxiliary modules that make the approach highly practical for real-world applications.
  • Potential Applications: The research suggests potential extensions of this framework, such as merging specialized experts for tasks like chain-of-thought reasoning and leveraging token-level signals for dynamic hidden state switching.

Methodological Insights

The core methodological advancement is the merging of a base model and a fine-tuned model into a superposed model by blending their hidden states using B-spline interpolation. This technique synthesizes a singular set of parameters without erasing the knowledge encapsulated in the base model. This superposition is facilitated by autoencoders that ascertain the optimal hidden state based on the input context. The parameters of the autoencoders and the blending coefficients are optimized for a smooth transition across framework layers, thus ensuring minimal performance degradation on original tasks.

Experimental Evaluation

The experiments conducted illustrate the robustness of the proposed architecture. By testing the framework on tasks involving a base GPT-2 model trained on English data and a fine-tuned GPT-2 model specialized on French text, the approach has demonstrated the ability to effectively merge representations. Key findings reveal that this innovative method results in improved perplexity and accuracy metrics compared to baseline interpolation and task arithmetic models. Additionally, t-SNE visualizations further confirm that the model can adaptively toggle hidden states to align with the relevant domain expertise, especially in dual-language contexts.

Implications for Future AI Developments

Practical implications of this research encompass performance optimizations for LLMs in multilingual settings, facilitating efficient model updates without expansive computational overheads. This proposal also extends a promising avenue for the inclusion of AI models in scenarios requiring intricate interaction across varied knowledge domains, such as multilingual and cross-domain applications. On a theoretical level, the integration of superposition principles could yield more generalized and flexible AI models, potentially enhancing capabilities in reasoning, semantics encoding, and multi-task learning.

Conclusions

The paper sets the stage for a significant shift in the approach to addressing catastrophic forgetting in LLMs. By leveraging superposition and efficient parameter usage, it introduces a scalable framework that maintains foundational model capabilities while integrating specific domain knowledge. The novel utilization of B-spline blending and autoencoders provides a versatile approach to model updating, with far-reaching implications for deploying LLMs in complex and evolving environments. This work not only highlights a compelling pathway for expanding LLMs' applicability but also fosters further exploration into integrated task management within a singular parameter space.

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