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ID-LoRA: Efficient Low-Rank Adaptation Inspired by Matrix Interpolative Decomposition

arXiv:2602.20727v1 Announce Type: new Abstract: LoRA has become a universal Parameter-Efficient Fine-Tuning (PEFT) technique that equips Large Language Models (LLMs) to adapt quickly to new tasks. However, when these models are scaled up, even the latest LoRA variants still introduce considerable overhead in trainable parameters. Conversely, aggressively lowering the rank to curb this overhead markedly degrades performance in complex multi-task settings. We propose ID-LoRA, a novel PEFT framework that breaks the trade-off. Its core innovation lies in extracting and reusing clustered parameter groups from the pretrained weight matrix. These groups are then used to form multiple low-rank components, all of which share only a single initialized trainable low-rank matrix. This approach cuts the number of trainable parameters while keeping the model's capacity intact. We evaluate ID-LoRA on five diverse benchmarks: Mathematical Reasoning, Code Generation, MMLU, CommonsenseQA, and Safety Al

arXiv:2602.20727v1 Announce Type: new Abstract: LoRA has become a universal Parameter-Efficient Fine-Tuning (PEFT) technique that equips Large Language Models (LLMs) to adapt quickly to new tasks. However, when these models are scaled up, even the latest LoRA variants still introduce considerable overhead in trainable parameters. Conversely, aggressively lowering the rank to curb this overhead markedly degrades performance in complex multi-task settings. We propose ID-LoRA, a novel PEFT framework that breaks the trade-off. Its core innovation lies in extracting and reusing clustered parameter groups from the pretrained weight matrix. These groups are then used to form multiple low-rank components, all of which share only a single initialized trainable low-rank matrix. This approach cuts the number of trainable parameters while keeping the model's capacity intact. We evaluate ID-LoRA on five diverse benchmarks: Mathematical Reasoning, Code Generation, MMLU, CommonsenseQA, and Safety Alignment. ID-LoRA outperforms both full fine-tuning and existing PEFT baselines (e.g., LoRA, DoRA, HydraLoRA) while using up to 46% fewer trainable parameters than the standard LoRA. In multi-task scenarios, it surpasses LoRA and its recent variants (e.g., DoRA and HydraLoRA) on both Code and MMLU tasks, yet requires only 54% of the trainable parameters demanded by the conventional LoRA.

Executive Summary

The article introduces ID-LoRA, a novel Parameter-Efficient Fine-Tuning (PEFT) framework designed to enhance the adaptability of Large Language Models (LLMs) to new tasks without significantly increasing the number of trainable parameters. Unlike traditional LoRA methods, ID-LoRA leverages clustered parameter groups from the pretrained weight matrix to form multiple low-rank components, sharing a single initialized trainable low-rank matrix. This approach reduces the trainable parameters while maintaining model performance. Evaluated across five diverse benchmarks, ID-LoRA outperforms full fine-tuning and existing PEFT baselines, demonstrating superior efficiency and effectiveness in multi-task scenarios.

Key Points

  • ID-LoRA introduces a novel PEFT framework that reduces the number of trainable parameters while maintaining model performance.
  • The method leverages clustered parameter groups from the pretrained weight matrix to form multiple low-rank components.
  • Evaluated on five diverse benchmarks, ID-LoRA outperforms full fine-tuning and existing PEFT baselines.
  • ID-LoRA uses up to 46% fewer trainable parameters than standard LoRA and 54% fewer than conventional LoRA in multi-task scenarios.

Merits

Innovative Approach

ID-LoRA presents a novel approach to PEFT that effectively breaks the trade-off between the number of trainable parameters and model performance. By reusing clustered parameter groups, it achieves significant efficiency gains without compromising on performance.

Superior Performance

The framework outperforms both full fine-tuning and existing PEFT baselines across multiple benchmarks, demonstrating its effectiveness in diverse tasks such as mathematical reasoning, code generation, and safety alignment.

Efficiency

ID-LoRA significantly reduces the number of trainable parameters, making it a more efficient solution for fine-tuning large language models. This efficiency is particularly valuable in resource-constrained environments.

Demerits

Complexity

The method's reliance on clustered parameter groups and multiple low-rank components introduces additional complexity, which may require more sophisticated implementation and tuning.

Generalizability

While the results are promising, the generalizability of ID-LoRA to other types of models and tasks remains to be thoroughly explored. Further research is needed to validate its effectiveness across a broader range of applications.

Resource Requirements

Although ID-LoRA reduces the number of trainable parameters, the initial setup and training process may still require substantial computational resources, which could be a barrier for some users.

Expert Commentary

The introduction of ID-LoRA represents a significant step forward in the field of Parameter-Efficient Fine-Tuning (PEFT). By leveraging clustered parameter groups from the pretrained weight matrix, the framework effectively reduces the number of trainable parameters while maintaining, and even enhancing, model performance. This innovation addresses a critical challenge in the deployment of large language models, particularly in resource-constrained environments. The superior performance of ID-LoRA across multiple benchmarks underscores its potential as a universal PEFT technique. However, the complexity introduced by the method's reliance on multiple low-rank components and the need for further validation across diverse applications should be carefully considered. Overall, ID-LoRA offers a promising solution for efficient and effective fine-tuning of large language models, with implications for both practical applications and policy decisions in the field.

Recommendations

  • Further research should explore the generalizability of ID-LoRA to other types of models and tasks to validate its effectiveness across a broader range of applications.
  • Developers and researchers should carefully consider the implementation and tuning requirements of ID-LoRA to fully leverage its benefits in practical settings.

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