LGCLDec 17, 2025

Dynamic Rank Reinforcement Learning for Adaptive Low-Rank Multi-Head Self Attention in Large Language Models

arXiv:2512.15973v21 citations
Originality Highly original
AI Analysis

This addresses computational inefficiency in large language models for NLP practitioners, offering a method to reduce costs without sacrificing performance, though it is incremental as it builds on existing low-rank techniques.

The paper tackles the inflexibility of static rank assumptions in low-rank approximations for multi-head self-attention in large language models by introducing Dynamic Rank Reinforcement Learning (DR-RL), which dynamically adjusts ranks based on sequence dynamics and hardware constraints, resulting in over 40% reduction in FLOPs for long sequences while maintaining accuracy equivalent to full-rank attention.

Dynamic Rank Reinforcement Learning (DR-RL) approximations rely on static rank assumptions, limiting their flexibility across diverse linguistic contexts. Our method dynamically modulates ranks based on real-time sequence dynamics, layer-specific sensitivities, and hardware constraints. The core innovation is a deep reinforcement learning agent that formulates rank selection as a sequential policy optimization problem, strictly balancing attention fidelity against computational latency. To ensure stability during inference, we derive and employ online matrix perturbation bounds, enabling incremental rank updates without the prohibitive cost of full decomposition. Furthermore, the integration of a lightweight Transformer-based policy network and batched Singular Value Decomposition (SVD) operations ensures scalable deployment on modern architectures. Extensive experiments demonstrate that DR-RL significantly reduces Floating Point Operations (FLOPs) by over 40% in long-sequence regimes (L > 4096) while maintaining downstream accuracy statistically equivalent to full-rank attention. Beyond standard language modeling benchmarks, we validate the real-world applicability of DR-RL on the GLUE benchmark. Specifically, our method achieves 92.78% accuracy on the SST-2 sentiment analysis task, matching the performance of full-rank baselines and outperforming static low-rank methods, such as Performer and Nyströmformer, by a significant margin.

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