Distilling Reasoning Capabilities into Smaller Language Models

Kumar Shridhar, Alessandro Stolfo, Mrinmaya Sachan


Abstract
Step-by-step reasoning approaches like chain of thought (CoT) have proved to be very effective in inducing reasoning capabilities in large language models. However, the success of the CoT approach is fundamentally tied to the model size, and billion parameter-scale models are often needed to get CoT to work. In this paper, we propose a knowledge distillation approach that leverages the step-by-step CoT reasoning capabilities of larger models and distills these abilities into smaller models. In this work, we propose an alternative reasoning scheme, Socratic CoT that learns a decomposition of the original problem into a sequence of subproblems and uses it to guide the intermediate reasoning steps. We use Socratic CoT to train a combination of two small distilled models: a problem decomposer and a subproblem solver. In practice, given a new problem, the two distilled models work in sync to decompose and solve complex problems. On multiple reasoning datasets (GSM8K, StrategyQA, and SVAMP), our proposed distillation strategies boosts the performance of smaller models over 70% compared to the baselines. Finally, we investigate when Socratic CoT is an effective alternative to CoT, demonstrating cases where a much smaller model (GPT-2 large) can outperform a 10X larger model (GPT-3 6B). Our code is available: https://github.com/kumar-shridhar/Distiiling-LM.
Anthology ID:
2023.findings-acl.441
Volume:
Findings of the Association for Computational Linguistics: ACL 2023
Month:
July
Year:
2023
Address:
Toronto, Canada
Editors:
Anna Rogers, Jordan Boyd-Graber, Naoaki Okazaki
Venue:
Findings
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
7059–7073
Language:
URL:
https://aclanthology.org/2023.findings-acl.441
DOI:
10.18653/v1/2023.findings-acl.441
Bibkey:
Cite (ACL):
Kumar Shridhar, Alessandro Stolfo, and Mrinmaya Sachan. 2023. Distilling Reasoning Capabilities into Smaller Language Models. In Findings of the Association for Computational Linguistics: ACL 2023, pages 7059–7073, Toronto, Canada. Association for Computational Linguistics.
Cite (Informal):
Distilling Reasoning Capabilities into Smaller Language Models (Shridhar et al., Findings 2023)
Copy Citation:
PDF:
https://preview.aclanthology.org/ingest-2024-clasp/2023.findings-acl.441.pdf