Emergent Mind

The Impact of Reasoning Step Length on Large Language Models

(2401.04925)
Published Jan 10, 2024 in cs.CL and cs.AI

Abstract

Chain of Thought (CoT) is significant in improving the reasoning abilities of LLMs. However, the correlation between the effectiveness of CoT and the length of reasoning steps in prompts remains largely unknown. To shed light on this, we have conducted several empirical experiments to explore the relations. Specifically, we design experiments that expand and compress the rationale reasoning steps within CoT demonstrations, while keeping all other factors constant. We have the following key findings. First, the results indicate that lengthening the reasoning steps in prompts, even without adding new information into the prompt, considerably enhances LLMs' reasoning abilities across multiple datasets. Alternatively, shortening the reasoning steps, even while preserving the key information, significantly diminishes the reasoning abilities of models. This finding highlights the importance of the number of steps in CoT prompts and provides practical guidance to make better use of LLMs' potential in complex problem-solving scenarios. Second, we also investigated the relationship between the performance of CoT and the rationales used in demonstrations. Surprisingly, the result shows that even incorrect rationales can yield favorable outcomes if they maintain the requisite length of inference. Third, we observed that the advantages of increasing reasoning steps are task-dependent: simpler tasks require fewer steps, whereas complex tasks gain significantly from longer inference sequences.

Longer reasoning step chains lead to higher problem-solving accuracy.

Overview

  • LLMs, like GPT-3 and GPT-4, utilize Chain of Thought prompting for complex multi-step problem-solving.

  • The study examines how manipulating the length of reasoning steps in prompts without adding information affects LLM performance.

  • Longer reasoning chains improve LLM reasoning capabilities, while shorter chains decrease performance.

  • The effectiveness of reasoning chains is less about the correctness of steps and more about the length, particularly in contexts like math problems.

  • The need for longer reasoning steps varies with task complexity, suggesting a tailored approach to optimize CoT prompts.

Introduction to LLMs and Reasoning

LLMs like GPT-3 and GPT-4 have been at the forefront of tackling a wide array of complex language-based tasks. One recent advancement in the field is the Chain of Thought (CoT) prompting, which helps these models mimic human-like sequential reasoning to solve multi-step problems efficiently. While we understand that CoT prompts improve reasoning performance, the extent to which the reasoning step length affects this performance was not clearly understood - until now.

Delving into the Reasoning Steps

Researchers have now taken a closer look at the impact of reasoning steps within CoT prompts on LLMs' performance. The paper covers experiments where the rationale reasoning steps were expanded or compressed without adding or removing information. The results were eye-opening: longer reasoning chains without additional information substantially improved reasoning abilities in LLMs. Conversely, shortening these chains diminished the models' reasoning performance. This finding is a step-change in understanding how we can harness the full potential of LLMs for complex problem-solving.

Surprising Insights

Another surprising insight from the study was that the effectiveness of CoT prompts was not necessarily tied to having correct rationales within the reasoning chain. Incorrect but logically consistent rationales could still lead to better outcomes, provided the reasoning steps were of sufficient length. This paradox highlights the importance of the reasoning process over the accuracy of individual steps in certain contexts, such as mathematical problem-solving.

Task Dependency

It was also discovered that the need for longer reasoning steps is task-dependent. While simpler tasks might require fewer steps, more elaborate tasks see a significant boost from lengthier reasoning sequences. This task-dependent scaling of reasoning steps provides practical insights into optimizing CoT prompts for different types of challenges that LLMs might face.

Conclusion and Future Directions

In conclusion, the study points to the importance of reasoning step length in CoT prompts and their potential to enhance LLM capabilities significantly. The implications of these findings are vast, offering a tangible approach to improving the performance of prompt-based LLMs across diverse datasets. As for future work, the researchers plan to further analyze the neural activation patterns within LLMs to understand better why longer chains of reasoning enhance performance and determine if longer steps correlate with broader neural engagement. This journey could pave the way for new methods to visualize and understand the inner workings of LLM inference.

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