English

Offline changepoint localization using a matrix of conformal p-values

Statistics Theory 2026-02-20 v5 Signal Processing Methodology Statistics Theory

Abstract

Changepoint localization is the problem of estimating the index at which a change occurred in the data generating distribution of an ordered list of data, or declaring that no change occurred. We present the broadly applicable MCP algorithm, which uses a matrix of conformal p-values to produce a confidence interval for a (single) changepoint under the mild assumption that the pre-change and post-change distributions are each exchangeable. We prove a novel conformal Neyman-Pearson lemma, motivating practical classifier-based choices for our conformal score function. Finally, we exemplify the MCP algorithm on a variety of synthetic and real-world datasets, including using black-box pre-trained classifiers to detect changes in sequences of images, text, and accelerometer data.

Keywords

Cite

@article{arxiv.2505.00292,
  title  = {Offline changepoint localization using a matrix of conformal p-values},
  author = {Sanjit Dandapanthula and Aaditya Ramdas},
  journal= {arXiv preprint arXiv:2505.00292},
  year   = {2026}
}
R2 v1 2026-06-28T23:17:37.967Z