Estimating great expectations under autoregressive language models with potentials
Many applications of language models hinge not on individual samples but on the expectation of a test functional under the model.
ProofPaper ↗
Key points
- Estimating such expectations reliably can be computationally expensive.
- In this paper, we show how to make estimation more efficient by exploiting the next-token conditional probabilities which are available as a by-product of sampling.
- We do so through potentials: real-valued functions on prefixes that decompose the test functional additively.
- We construct an estimator whose variance depends on the chosen potential, and derive conditions under which a potential reduces this variance.
Sources (1)
- [1]Estimating great expectations under autoregressive language models with potentialsarXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 8, 07:30 AM
Many applications of language models hinge not on individual samples but on the expectation of a test functional under the model.
Estimating such expectations reliably can be computationally expensive.
Extractive summary: sentences quoted from the sources.
