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Think-to-Talk or Talk-to-Think? When LLMs Come Up with an Answer in Multi-Step Arithmetic Reasoning

Published 2 Dec 2024 in cs.CL | (2412.01113v2)

Abstract: This study investigates the internal reasoning process of LLMs during arithmetic multi-step reasoning, motivated by the question of when they internally form their answers during reasoning. Particularly, we inspect whether the answer is determined before or after chain-of-thought (CoT) begins to determine whether models follow a post-hoc Think-to-Talk mode or a step-by-step Talk-to-Think mode of explanation. Through causal probing experiments in controlled arithmetic reasoning tasks, we found systematic internal reasoning patterns across models in our case study; for example, single-step subproblems are solved before CoT begins, and more complicated multi-step calculations are performed during CoT.

Summary

  • The paper uses causal probing on ten LLMs performing arithmetic tasks to analyze internal reasoning patterns, specifically distinguishing between predetermined answers (think-to-talk) and real-time computation during explanation (talk-to-think).
  • Results indicate that simple subproblems are often solved before Chain-of-Thought generation begins, while complex computations are completed during the explanation phase, revealing a systematic mixed-mode reasoning process.
  • Understanding this dual reasoning mechanism provides crucial insights into LLM interpretability and has implications for designing more transparent and controllable AI systems, although further validation on diverse tasks is needed.

Analysis of Think-to-Talk vs. Talk-to-Think Reasoning in LLMs

Abstract

The paper in focus investigates the internal reasoning mechanisms of LLMs, particularly during symbolic multi-step reasoning tasks. This exploration is motivated by the need to determine whether the outputs of Chain-of-Thought (CoT) are post-hoc explanations or sequential, reflective solutions. The research utilizes causal probing techniques to analyze models' internal processes, specifically before and during the CoT reasoning, to distinguish between a "think-to-talk" mode where conclusions are predetermined and explained after, against a "talk-to-think" mode where reasoning and explanation occur in unison.

Experimental Methodology

The authors evaluate ten LLMs using a controlled testbed of symbolic arithmetic reasoning tasks. By employing probing classifiers, the study examines hidden representations at various timesteps and layers to assess when models resolve subproblems and reach final answers. The experimental setup is meticulously designed to probe the transparency of reasoning steps and detect positions where intermediate and conclusive reasoning become evident in the model's outputs.

Results and Patterns

A notable pattern across different models is observed: the resolution of simple subproblems tends to occur before the CoT process begins, indicating a predetermined aspect of reasoning. In contrast, more complex computations are often completed during the CoT explanation phase. This suggests a systematic pattern where LLMs exhibit both predetermined reasoning (think-to-talk) and real-time problem-solving (talk-to-think).

Furthermore, causal interventions indicate that predetermined answers influence the final outputs but do so indirectly, revealing a complex interaction between different reasoning components. The analysis of probing results across multiple models further emphasizes this dual-mode reasoning, although with minor variations depending on the model size and architecture.

Implications and Future Directions

This paper contributes significantly to understanding how LLMs generate multi-step reasoning outputs. The insights from probing analyses indicate a mixed-mode interpretation of reasoning processes within LLMs. This dichotomy could have implications for the design of future AI systems, especially in enhancing transparency and controllability in automated reasoning tasks.

Future research directions could involve extending this analysis to more diverse and realistic task settings, potentially involving natural language tasks. Given that the current study utilized synthetic arithmetic tasks, further exploration is needed to validate if similar reasoning patterns persist across different data modalities and complexity.

Moreover, addressing limitations of probing methodologies and ensuring robustness across varying task complexities and model architectures could further enhance the depth of insights gained from such experiments. These explorations could provide critical improvements in the interpretability of LLMs, making them more reliable and accountable in decision-critical applications.

Conclusion

The paper offers an insightful foray into the mechanistic understanding of LLMs' reasoning processes, establishing foundational knowledge for both the think-to-talk and talk-to-think modes. Such discernments are essential for advancing LLM interpretability and hold promise for future advancements in AI research and applications.

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