Conformal prediction with localization

Bibliographic Details
Title: Conformal prediction with localization
Authors: Guan, Leying
Publication Year: 2019
Collection: Mathematics
Statistics
Subject Terms: Mathematics - Statistics Theory, Statistics - Methodology
More Details: We propose a new method called localized conformal prediction, where we can perform conformal inference using only a local region around a new test sample to construct its confidence interval. Localized conformal inference is a natural extension to conformal inference. It generalizes the method of conformal prediction to the case where we can break the data exchangeability, so as to give the test sample a special role. To our knowledge, this is the first work that introduces such a localization to the framework of conformal prediction. We prove that our proposal can also have assumption-free and finite sample coverage guarantees, and we compare the behaviors of localized conformal prediction and conformal prediction in simulations.
Comment: 19 pages, 4 figures
Document Type: Working Paper
Access URL: http://arxiv.org/abs/1908.08558
Accession Number: edsarx.1908.08558
Database: arXiv
More Details
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