المفاهيم الأساسية
This paper introduces Fisher susceptibility, an efficient method for estimating the sensitivity of language models to input context, offering a faster alternative to the computationally expensive Monte Carlo approximation.
الملخص
Bibliographic Information:
Liu, T., Du, K., Sachan, M., & Cotterell, R. (2024). Efficiently Computing Susceptibility to Context in Language Models. arXiv preprint arXiv:2410.14361.
Research Objective:
This paper aims to address the computational challenges of measuring language models' susceptibility to context, proposing a novel method called Fisher susceptibility as a more efficient alternative to the existing Monte Carlo approximation.
Methodology:
The authors leverage Fisher information, a statistical measure quantifying the information an observable random variable carries about an unknown parameter, to approximate the Kullback-Leibler divergence used in calculating susceptibility. They reparameterize the language model's conditional distribution using an embedding function, enabling the computation of Fisher information concerning the input context. This approach eliminates the need for extensive sampling required by Monte Carlo estimation, significantly reducing computational cost.
Key Findings:
- Fisher susceptibility demonstrates a strong correlation with Monte Carlo susceptibility across various language models, indicating its validity as an approximation.
- Compared to Monte Carlo estimation, Fisher susceptibility exhibits a substantial improvement in runtime, being 70x faster with a sample size of 256 for Monte Carlo susceptibility.
- Larger language models do not necessarily exhibit lower susceptibility than smaller ones, suggesting that susceptibility is not solely dependent on the amount of prior knowledge stored in the model.
- Instruction-tuned models tend to have higher susceptibility compared to their base counterparts, indicating their enhanced ability to integrate contextual information.
- Closed queries are less susceptible to context than open queries, and within open queries, the question-answering format shows lower susceptibility than the sentence-completion format.
Main Conclusions:
Fisher susceptibility offers a computationally efficient and reliable method for estimating language model sensitivity to input context. This method facilitates large-scale analysis of susceptibility and provides insights into the factors influencing it, such as model size, training methods, and query format.
Significance:
This research contributes significantly to the field of language model evaluation by introducing a faster and more practical metric for assessing context sensitivity. This enables researchers to better understand the behavior of language models and develop more robust and reliable models in the future.
Limitations and Future Research:
The paper acknowledges limitations in approximating Fisher information using the top-K answers and the increased memory requirements due to automatic differentiation. Future research could explore alternative approximation techniques and address the memory constraints for wider applicability. Additionally, investigating the discrepancy in entity familiarity findings between Fisher susceptibility and Monte Carlo susceptibility could provide further insights into the strengths and limitations of each method.
الإحصائيات
Computing Fisher susceptibility is 70× faster when the number of samples for Monte Carlo susceptibility is chosen to be 256.
Computing Fisher susceptibility is 30× faster when the number of samples for Monte Carlo susceptibility is 128.
Evaluating Monte Carlo susceptibility for all 48800 queries on YAGO costs 10 hours while computing Fisher susceptibility only costs 20 minutes for LLaMA-3-8B models.
Pearson’s correlation of r = 0.51 and a Spearman’s correlation of ρ = 0.76 on open queries, r = 0.38 and ρ = 0.47 on closed queries using LLaMA-3-8B-instruct.
Pearson’s correlation of r = 0.65 and a Spearman’s correlation of ρ = 0.76 on open queries and r = 0.51, ρ = 0.60 on closed queries using LLaMA-3-8B-instruct.
اقتباسات
"In light of the computation required for the Monte Carlo approximation to susceptibility, we propose a more efficient approximation based on Fisher information that does not require sampling to estimate the susceptibility; we term this approximation Fisher susceptibility."
"Through experiments, we find a strong correlation between a language model’s Monte Carlo susceptibility and Fisher susceptibility, which we take to validate our approximation."
"Compared to methods that require many context samples and language model forward passes, our method is significantly faster."