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A Comparative Study on Reasoning Patterns of OpenAI's o1 Model (2410.13639v2)

Published 17 Oct 2024 in cs.CL

Abstract: Enabling LLMs to handle a wider range of complex tasks (e.g., coding, math) has drawn great attention from many researchers. As LLMs continue to evolve, merely increasing the number of model parameters yields diminishing performance improvements and heavy computational costs. Recently, OpenAI's o1 model has shown that inference strategies (i.e., Test-time Compute methods) can also significantly enhance the reasoning capabilities of LLMs. However, the mechanisms behind these methods are still unexplored. In our work, to investigate the reasoning patterns of o1, we compare o1 with existing Test-time Compute methods (BoN, Step-wise BoN, Agent Workflow, and Self-Refine) by using OpenAI's GPT-4o as a backbone on general reasoning benchmarks in three domains (i.e., math, coding, commonsense reasoning). Specifically, first, our experiments show that the o1 model has achieved the best performance on most datasets. Second, as for the methods of searching diverse responses (e.g., BoN), we find the reward models' capability and the search space both limit the upper boundary of these methods. Third, as for the methods that break the problem into many sub-problems, the Agent Workflow has achieved better performance than Step-wise BoN due to the domain-specific system prompt for planning better reasoning processes. Fourth, it is worth mentioning that we have summarized six reasoning patterns of o1, and provided a detailed analysis on several reasoning benchmarks.

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Authors (17)
  1. Siwei Wu (26 papers)
  2. Zhongyuan Peng (9 papers)
  3. Xinrun Du (23 papers)
  4. Tuney Zheng (7 papers)
  5. Minghao Liu (44 papers)
  6. Jialong Wu (36 papers)
  7. Jiachen Ma (5 papers)
  8. Yizhi Li (43 papers)
  9. Jian Yang (505 papers)
  10. Wangchunshu Zhou (73 papers)
  11. Qunshu Lin (11 papers)
  12. Junbo Zhao (86 papers)
  13. Zhaoxiang Zhang (162 papers)
  14. Wenhao Huang (98 papers)
  15. Ge Zhang (170 papers)
  16. Chenghua Lin (127 papers)
  17. J. H. Liu (14 papers)
Citations (4)

Summary

A Comparative Study on Reasoning Patterns of OpenAI's o1 Model

This paper undertakes a critical evaluation of the reasoning capabilities of OpenAI's o1 model, juxtaposing its performance against a suite of established Test-time Compute methods. The analysis is grounded in empirical assessments across benchmarks in three salient domains: mathematics, coding, and commonsense reasoning. The focus is on deciphering reasoning patterns and understanding how they contribute to the model's performance.

Core Contributions

The research presents the following key findings:

  1. Performance Analysis: The o1 model, according to the conducted experiments, surpasses other inference-time methodologies across a majority of evaluated datasets. Notable improvements are observed in complex tasks such as mathematics and coding, where a Chain-of-Thought (CoT) approach yields substantial benefits.
  2. Limitations of Test-time Compute Methods: The paper highlights specific limitations inherent to traditional methods:
    • Self-Refine: While enhancing LLM outputs through iterative feedback ostensibly could have shown promise, its actual performance scarcely diverges from that of GPT-4o in coding tasks, and marks a regression on Collie.
    • Best-of-N (BoN) and Step-wise BoN: The efficacy of these methods is contingent upon the selection and capability of reward models to filter appropriate outputs from multiple generated responses. This introduces an upper bound to potential improvements.
  3. The Agent Workflow Approach: This method demonstrates a significant enhancement due to its bespoke domain-specific system prompts. By breaking down tasks into smaller components and leveraging tailor-made prompts (especially pertinent in commonsense reasoning), it approaches the performance levels of o1.
  4. Reasoning Patterns: The paper identifies and categorizes six reasoning patterns exhibited by the o1 model: Systematic Analysis (SA), Method Reuse (MR), Divide and Conquer (DC), Self-Refinement (SR), Context Identification (CI), and Emphasizing Constraints (EC). DC and SR are most prevalent, indicating their critical role in the model's success.
  5. Token Length Analysis: The analysis uncovers that reasoning token counts vary significantly across different tasks—shorter in commonsense tasks and longer in more complex domains such as coding and math. This suggests adaptive reasoning strategies depending on task complexity.

Implications

The findings underscore the efficacy of strategic reasoning adaptations over traditional parameter expansion approaches. By analyzing how o1 spends increased reasoning time, the paper sheds light on the mechanics that underlie enhanced model performance.

Future Directions

The insights drawn from this paper could inform further developments in LLMs by emphasizing the importance of dynamic reasoning patterns and the role of targeted test-time inference strategies. Future research might explore optimizing reward models for BoN methods, thus pushing the boundaries of current capabilities.

This paper's exploration of the o1 model's strategies offers a valuable resource for researchers seeking to refine LLM reasoning processes. The contrast with existing methods provides a compelling argument for strategically enhancing model inference, marking a shift towards more nuanced and adaptable approaches to AI reasoning.

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