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Multi-matrix Factorization Attention (2412.19255v2)

Published 26 Dec 2024 in cs.LG and cs.CL

Abstract: We propose novel attention architectures, Multi-matrix Factorization Attention (MFA) and MFA-Key-Reuse (MFA-KR). Existing variants for standard Multi-Head Attention (MHA), including SOTA methods like MLA, fail to maintain as strong performance under stringent Key-Value cache (KV cache) constraints. MFA enhances model capacity by efficiently scaling up both the number and dimension of attention heads through low-rank matrix factorization in the Query-Key (QK) circuit. Extending MFA, MFA-KR further reduces memory requirements by repurposing the key cache as value through value projection re-parameterization. MFA's design enables strong model capacity when working under tight KV cache budget, while MFA-KR is suitable for even harsher KV cache limits with minor performance trade-off. Notably, in our extensive and large-scale experiments, the proposed architecture outperforms MLA and performs comparably to MHA, while reducing KV cache usage by up to 56% and 93.7%, respectively.

Summary

  • The paper presents MFA, a novel attention mechanism that leverages low-rank matrix factorization in the Query-Key circuit to reduce KV cache memory while maintaining model expressiveness.
  • Experimental results reveal that MFA cuts KV cache usage by 56% to 93.7% on a 7B model without compromising performance compared to standard MHA.
  • The MFA-KR variant further economizes memory by repurposing key caches as values, enabling more cost-effective and scalable deployments of large language models.

Multi-matrix Factorization Attention: Enhancing Efficiency in LLMs

The paper entitled "Multi-matrix Factorization Attention" introduces innovative attention architectures named Multi-matrix Factorization Attention (MFA) and its variant, MFA-Key-Reuse (MFA-KR). This research addresses the shortcomings of existing Multi-Head Attention (MHA) variants, particularly under constraints of Key-Value (KV) cache memory—a prevailing bottleneck in deploying large-scale LLMs.

Architectural Innovation

MFA is proposed as a solution to enhance model capacity while reducing memory requirements associated with KV caches. By employing low-rank matrix factorization in the Query-Key (QK) circuit, MFA balances high model expressiveness with parameter efficiency. This is achieved by scaling both the number and dimension of attention heads without excessive memory consumption. MFA-KR extends this concept by re-purposing key caches as values, achieving further reductions in KV cache memory usage for scenarios with tighter budget constraints.

Numerical Results and Experimental Validation

The empirical evaluation is robust, involving comprehensive experiments across LLMing benchmarks. The authors report that MFA consistently outperforms existing architectures like Multi-head Latent Attention (MLA) and maintains performance similar to standard MHA, while drastically reducing KV cache usage—by up to 56% and 93.7% in some settings. On a 7B parameter model trained on 1 trillion tokens, MFA matches MHA's performance metrics while using a mere fraction of the KV cache. MFA-KR, though presenting a minor performance trade-off, reduces cache use further, to only 6.25% of MHA's requirements.

Design and Efficiency Analysis

A theoretical underpinning of the research is a capacity analysis within a generalized multi-head attention (GMHA) framework. MFA aims to approximate the theoretical upper bound of capacity embodied by Fully Parameterized Bilinear Attention (FPBA) using efficient matrix factorization strategies. Tables and figures in the paper highlight these trade-offs in terms of factorization rank, shared latent dimensions, and total effective rank—positioning MFA closer to FPBA compared to other MHA variants.

Implications and Future Directions

The practical implication of this work is evident in scaling LLMs for real-time applications like chatbots and virtual assistants, where memory capacity is a crucial factor. By reducing KV cache footprints without sacrificing model performance, MFA and MFA-KR can support the deployment of more efficient, cost-effective, and environmentally friendly AI systems.

Future directions may include the integration of MFA with other cutting-edge mechanisms like SSMs and linear attention for hybrid architectures that further optimize memory usage and computational costs. Moreover, exploring the scalability of these solutions for even larger models and diverse datasets would provide insights into their versatility and robustness.

In conclusion, the paper advances the field of model architecture by proposing and validating MFA and MFA-KR, setting a new efficiency benchmark in handling large-scale attention-based models under memory constraints. While the current work primarily focuses on reducing KV cache usage, similar principles might be applied to other neural architecture components, thereby broadening the impact of this research in other domains within AI and beyond.