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Corrector Sampling in Language Models (2506.06215v1)

Published 6 Jun 2025 in cs.LG and cs.CL

Abstract: Autoregressive LLMs accumulate errors due to their fixed, irrevocable left-to-right token generation. To address this, we propose a new sampling method called Resample-Previous-Tokens (RPT). RPT mitigates error accumulation by iteratively revisiting and potentially replacing tokens in a window of previously generated text. This method can be integrated into existing autoregressive models, preserving their next-token-prediction quality and speed. Fine-tuning a pretrained 8B parameter model with RPT for only 100B resulted in ~10% relative improvements on reasoning and coding benchmarks compared to the standard sampling.

Summary

  • The paper presents the Resample-Previous-Tokens (RPT) method to correct error propagation in autoregressive language models.
  • Empirical results show that RPT improves reasoning and coding benchmarks by approximately 5-10% with only 10% of fine-tuning iterations.
  • The method reduces total variation distance by leveraging future token context, offering a robust solution for accurate sequence generation.

Corrector Sampling in LLMs: Analysis and Empirical Evaluation

The research paper entitled "Corrector Sampling in LLMs" presents a methodological advancement for autoregressive LLMs, specifically focusing on reducing error accumulation during token generation. The authors introduce a novel sampling technique called Resample-Previous-Tokens (RPT), which iterates over previously generated tokens to mitigate errors inherent in the left-to-right sampling rule of autoregressive models.

Methodology

Autoregressive models, known for their efficiency in next-token-prediction (NTP), suffer from error propagation due to their rigid token sampling sequence. This irrevocable process of generation becomes a source of compounded inaccuracies once errors are introduced. Addressing this limitation, the proposed RPT method allows for revisiting and potentially correcting previously generated tokens, thus reducing the error propagation that typically characterizes NTP sampling. This correction is performed within a localized window of tokens, introducing a previous-token-prediction (PTP) mechanism that samples tokens, considering future tokens as contextual information.

The theoretical underpinnings of RPT emphasize its capacity to reduce errors through iterative correction. The error reduction is measured using the total variation distance, highlighting the potential gains RPT holds over conventional NTP methods. The authors postulate that with RPT, the approximation error decreases due to its ability to leverage future token information, making predictions more accurate.

Empirical Results

The empirical analysis performed in the paper showcases significant improvements—approximately 5-10%—in reasoning and coding benchmarks when applying RPT to a pretrained 8B parameter model. The effectiveness of the RPT method was initially observed with just 10% of training iterations dedicated to fine-tuning, underscoring its training efficiency. The improvements were consistently noted across several tasks, including HumanEval+, MBPP, GSM8K, and various programming language datasets, affirming the method's practical value.

Moreover, the reduction in empirical total variation distance further substantiates the claim that RPT sampling offers superior token prediction compared to the traditional autoregressive approach, enhancing the probability of generating the correct next token.

Implications and Future Directions

The implications of adopting RPT in autoregressive models are far-reaching, particularly in applications requiring high accuracy, such as coding and mathematical reasoning. The reduced error propagation paves the way for more robust LLM outputs, which could improve user experiences in numerous AI-driven applications. The theoretical foundations laid by the authors create avenues for exploring similar corrective sampling mechanisms in other domains of AI, potentially transforming how sequences are generated in complex tasks.

For future directions, the extension of RPT with larger window sizes and the integration of more complex permutations merit consideration. As the methodology scales efficiently, RPT could evolve to incorporate advanced heuristics optimizing token correction further. Additionally, the exploration of confidence-driven sampling adjustments offers a fertile ground for enhancing generation strategies, potentially leading to even more reliable LLMs.

Conclusion

The paper on "Corrector Sampling in LLMs" offers a compelling alternative to traditional sampling methods, with RPT providing a means to correct errors iteratively during token generation. By theoretically and empirically demonstrating its benefits, the authors contribute a significant advancement to the field of AI in sequence modeling. As the AI community seeks to refine and improve LLM outputs, RPT sampling represents a promising step towards achieving higher accuracy and reliability in autoregressive LLMs.

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