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DOI | 10.1073/pnas.2016191118 |
Stable reliability diagrams for probabilistic classifiers | |
Dimitriadis T.; Gneiting T.; Jordan A.I. | |
发表日期 | 2021 |
ISSN | 00278424 |
卷号 | 118期号:8 |
英文摘要 | A probability forecast or probabilistic classifier is reliable or calibrated if the predicted probabilities are matched by ex post observed frequencies, as examined visually in reliability diagrams. The classical binning and counting approach to plotting reliability diagrams has been hampered by a lack of stability under unavoidable, ad hoc implementation decisions. Here, we introduce the CORP approach, which generates provably statistically consistent, optimally binned, and reproducible reliability diagrams in an automated way. CORP is based on nonparametric isotonic regression and implemented via the pool-adjacent-violators (PAV) algorithm—essentially, the CORP reliability diagram shows the graph of the PAV-(re)calibrated forecast probabilities. The CORP approach allows for uncertainty quantification via either resampling techniques or asymptotic theory, furnishes a numerical measure of miscalibration, and provides a CORP-based Brier-score decomposition that generalizes to any proper scoring rule. We anticipate that judicious uses of the PAV algorithm yield improved tools for diagnostics and inference for a very wide range of statistical and machine learning methods. © 2021 National Academy of Sciences. All rights reserved. |
英文关键词 | Calibration; Discrimination ability; Probability forecast; Score decomposition; Weather prediction |
语种 | 英语 |
scopus关键词 | algorithm; article; calibration; classifier; decomposition; prediction; probability; reliability; uncertainty; weather |
来源期刊 | Proceedings of the National Academy of Sciences of the United States of America
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文献类型 | 期刊论文 |
条目标识符 | http://gcip.llas.ac.cn/handle/2XKMVOVA/180570 |
作者单位 | Alfred Weber Institute of Economics, Heidelberg University, Heidelberg, 69115, Germany; Computational Statistics Group, Heidelberg Institute for Theoretical Studies, Heidelberg, 69118, Germany; Institute for Stochastics, Karlsruhe Institute of Technology, Karlsruhe, 76131, Germany |
推荐引用方式 GB/T 7714 | Dimitriadis T.,Gneiting T.,Jordan A.I.. Stable reliability diagrams for probabilistic classifiers[J],2021,118(8). |
APA | Dimitriadis T.,Gneiting T.,&Jordan A.I..(2021).Stable reliability diagrams for probabilistic classifiers.Proceedings of the National Academy of Sciences of the United States of America,118(8). |
MLA | Dimitriadis T.,et al."Stable reliability diagrams for probabilistic classifiers".Proceedings of the National Academy of Sciences of the United States of America 118.8(2021). |
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