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Main Authors: Huang, Zhe, Rossi, Simone, Yuan, Rui, Hannagan, Thomas
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2504.15722
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author Huang, Zhe
Rossi, Simone
Yuan, Rui
Hannagan, Thomas
author_facet Huang, Zhe
Rossi, Simone
Yuan, Rui
Hannagan, Thomas
contents Transformers have become a standard architecture in machine learning, demonstrating strong in-context learning (ICL) abilities that allow them to learn from the prompt at inference time. However, uncertainty quantification for ICL remains an open challenge, particularly in noisy regression tasks. This paper investigates whether ICL can be leveraged for distribution-free uncertainty estimation, proposing a method based on conformal prediction to construct prediction intervals with guaranteed coverage. While traditional conformal methods are computationally expensive due to repeated model fitting, we exploit ICL to efficiently generate confidence intervals in a single forward pass. Our empirical analysis compares this approach against ridge regression-based conformal methods, showing that conformal prediction with in-context learning (CP with ICL) achieves robust and scalable uncertainty estimates. Additionally, we evaluate its performance under distribution shifts and establish scaling laws to guide model training. These findings bridge ICL and conformal prediction, providing a theoretically grounded and new framework for uncertainty quantification in transformer-based models.
format Preprint
id arxiv_https___arxiv_org_abs_2504_15722
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle From predictions to confidence intervals: an empirical study of conformal prediction methods for in-context learning
Huang, Zhe
Rossi, Simone
Yuan, Rui
Hannagan, Thomas
Machine Learning
Transformers have become a standard architecture in machine learning, demonstrating strong in-context learning (ICL) abilities that allow them to learn from the prompt at inference time. However, uncertainty quantification for ICL remains an open challenge, particularly in noisy regression tasks. This paper investigates whether ICL can be leveraged for distribution-free uncertainty estimation, proposing a method based on conformal prediction to construct prediction intervals with guaranteed coverage. While traditional conformal methods are computationally expensive due to repeated model fitting, we exploit ICL to efficiently generate confidence intervals in a single forward pass. Our empirical analysis compares this approach against ridge regression-based conformal methods, showing that conformal prediction with in-context learning (CP with ICL) achieves robust and scalable uncertainty estimates. Additionally, we evaluate its performance under distribution shifts and establish scaling laws to guide model training. These findings bridge ICL and conformal prediction, providing a theoretically grounded and new framework for uncertainty quantification in transformer-based models.
title From predictions to confidence intervals: an empirical study of conformal prediction methods for in-context learning
topic Machine Learning
url https://arxiv.org/abs/2504.15722