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LLM-Lasso: Enhancing Lasso Regression with Large Language Models for Feature Selection

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Feature Selection in Statistical Learning

Feature selection is essential in statistical learning as it enables models to concentrate on significant predictors, reducing complexity and improving interpretability. Among the various methods available, Lasso regression stands out for its integration of feature selection with predictive modeling. It encourages sparsity through an optimization process, which penalizes large regression coefficients, making the approach both interpretable and computationally efficient. However, traditional Lasso techniques mainly rely on training data, restricting their ability to systematically include expert knowledge.

Advancements with Pre-trained LLMs

Pre-trained transformer-based large language models (LLMs), like GPT-4 and LLaMA-2, excel in encoding domain knowledge and understanding complex relationships. They can enhance various tasks, including feature selection. Research has investigated ways to utilize LLMs in feature selection through methods such as fine-tuning, prompting, and direct filtering based on performance metrics. Some strategies assess token probabilities to ascertain feature relevance, while others use only textual information, showcasing that LLMs can compete with traditional statistical techniques, even in zero-shot scenarios.

Introducing LLM-Lasso

Researchers from Stanford University and the University of Wisconsin-Madison have developed LLM-Lasso, a framework that bolsters Lasso regression by infusing domain-specific knowledge from LLMs. This framework diverges from previous methods that depend solely on numerical data, employing a retrieval-augmented generation (RAG) pipeline to enhance feature selection. LLM-Lasso assigns penalty factors based on insights derived from LLMs, ensuring that significant features are prioritized while lesser ones are downweighted. An internal validation step fosters robustness, addressing inaccuracies and hallucinations.

Performance and Validation

Experiments, particularly in biomedical applications, demonstrate that LLM-Lasso surpasses traditional Lasso regression. It effectively integrates LLM-informed penalties into the feature selection process, leveraging inverse importance weighting and ReLU-based interpolation. The framework is composed of LLM-Lasso (Plain) without RAG and LLM-Lasso (RAG) that incorporates knowledge retrieval. Success hinges on the quality of the retrieval process and prompt design, optimizing knowledge integration for high-dimensional data.

Experimental Outcomes

LLM-Lasso has shown remarkable results in both small- and large-scale studies using various LLMs, including GPT-4, DeepSeek-R1, and LLaMA-3. Comparisons with established methods, such as Mutual Information (MI), Recursive Feature Elimination (RFE), Minimum Redundancy Maximum Relevance (MRMR), and standard Lasso, reveal LLM-Lasso’s superior performance. Notably, large-scale experiments on lymphoma datasets confirm its effectiveness in cancer classification, with RAG integration enhancing gene selection relevance. Performance evaluations highlight significant reductions in misclassification errors and improved area under the receiver operating characteristic (AUROC) scores, pinpointing key genes like AICDA and BCL2 that are clinically relevant to lymphoma transformation.

Conclusion: Advantages of LLM-Lasso

In summary, LLM-Lasso represents a significant advancement in integrating domain-specific insights into traditional Lasso regression. By utilizing contextual knowledge via a RAG pipeline, it effectively assigns penalty factors to features based on LLM-generated importance scores. This prioritizes relevant features while minimizing noise from less informative ones. The built-in validation step enhances reliability by addressing potential inaccuracies associated with LLMs. Empirical results, especially in biomedical contexts, showcase LLM-Lasso’s superiority over traditional approaches, establishing it as a pioneering method that effectively combines LLM-driven reasoning with conventional techniques.

Further Resources

For more insights, check out the paper on this research. Follow us on Twitter and join our community of over 80,000 members on ML SubReddit.

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Vladimir Dyachkov, Ph.D
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