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Show Your Work: Scratchpads for Intermediate Computation with Language Models (2112.00114v1)

Published 30 Nov 2021 in cs.LG and cs.NE

Abstract: Large pre-trained LLMs perform remarkably well on tasks that can be done "in one pass", such as generating realistic text or synthesizing computer programs. However, they struggle with tasks that require unbounded multi-step computation, such as adding integers or executing programs. Surprisingly, we find that these same models are able to perform complex multi-step computations -- even in the few-shot regime -- when asked to perform the operation "step by step", showing the results of intermediate computations. In particular, we train transformers to perform multi-step computations by asking them to emit intermediate computation steps into a "scratchpad". On a series of increasingly complex tasks ranging from long addition to the execution of arbitrary programs, we show that scratchpads dramatically improve the ability of LLMs to perform multi-step computations.

Citations (609)

Summary

  • The paper introduces scratchpads, a method that enables models to output intermediate computation steps for improved multi-step reasoning.
  • The paper demonstrates that training models to produce textual algorithm traces enhances performance on tasks like integer addition, polynomial evaluation, and Python code execution.
  • The paper's results show notable improvements, including a 41.9% increase in execution trace accuracy and better out-of-distribution generalization for complex computations.

Show Your Work: Scratchpads for Intermediate Computation with LLMs

The paper "Show Your Work: Scratchpads for Intermediate Computation with LLMs" investigates methodologies to improve the capability of Transformer-based LLMs to perform complex multi-step computations. The research focuses on addressing the limitations that large pre-trained LLMs encounter when tasked with performing algorithmic reasoning and unbounded multi-step computational tasks. The introduction of "scratchpads" is proposed as a solution, allowing models to emit intermediate computation steps, thereby enhancing their ability to perform these intricate tasks.

Methodology

The core proposition of the paper involves augmenting the existing Transformer architecture with "scratchpads," which act as a buffer for intermediate computation steps. This approach diverges from previous methodologies that modify the model architecture, such as implementing adaptive computation time. Instead, the authors propose modifying task design. This involves training models to output intermediate results, viewed as a form of textual algorithm trace, which directs the model step-by-step towards the solution.

The approach is evaluated across several tasks:

  • Integer Addition: The scratchpad aids in out-of-distribution generalization; models trained with scratchpads show improved performance on larger instances that were not part of the training data.
  • Polynomial Evaluation: The scratchpad significantly enhances the model's performance for higher-level tasks both in the few-shot and fine-tuning regimes.
  • Python Program Execution: Models trained to output execution traces line-by-line show marked improvement in program tracing and execution accuracy.

Results

Numerical results indicate that using scratchpads enhances the Transformer models' performance significantly:

  • In addition tasks with up to 10-digit numbers, the models using scratchpads outperformed those that did not.
  • For polynomial evaluation, models equipped with scratchpads demonstrated substantial gains in both few-shot and fine-tuning regimes, achieving higher correctness in generating the desired output.
  • The introduction of scratchpads in program execution tasks yielded a trace accuracy of 41.9%, a significant increase from baseline direct execution techniques.

Implications and Future Directions

The implications of this research are substantial both in theoretical domains and practical applications. With scratchpads, Transformer models can now address a broader spectrum of tasks involving intermediate computational reasoning. This improvement in reasoning could be leveraged in areas like program synthesis, analysis, and interactive AI systems.

One potential avenue for future work is exploring how models can autonomously learn the utility of scratchpads without explicit supervision. Additionally, scaling the approach to handle extended context windows could broaden its applicability to more complex problems.

Conclusion

The paper presents an innovative approach to enhancing the reasoning capabilities of LLMs through the use of scratchpads. This methodology significantly improves the models' ability to tackle multi-step algorithmic computations. As models continue to evolve, integrating better task design features such as scratchpads could bridge existing gaps in AI's ability to undertake complex reasoning tasks.

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