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title booktitle year volume series month publisher pdf url abstract layout issn id tex_title firstpage lastpage page order cycles bibtex_editor editor bibtex_author author date address container-title genre issued extras
Distribution-free Conformal Prediction for Ordinal Classification
Proceedings of the Thirteenth Symposium on Conformal and Probabilistic Prediction with Applications
2024
230
Proceedings of Machine Learning Research
0
PMLR
Multi-label classification is a common challenge in various machine learning applications, where a single data instance can be associated with multiple classes simultaneously. The current paper proposes a novel tree-based method for multi-label classification using conformal prediction and multiple hypothesis testing. The proposed method employs hierarchical clustering with labelsets to develop a hierarchical tree, which is then formulated as a multiple-testing problem with a hierarchical structure. The split-conformal prediction method is used to obtain marginal conformal $p$-values for each tested hypothesis, and two hierarchical testing procedures are developed based on marginal conformal $p$-values, including a hierarchical Bonferroni procedure and its modification for controlling the family-wise error rate. The prediction sets are thus formed based on the testing outcomes of these two procedures. We establish a theoretical guarantee of valid coverage for the prediction sets through proven family-wise error rate control of those two procedures. We demonstrate the effectiveness of our method in a simulation study and two real data analysis compared to other conformal methods for multi-label classification.
inproceedings
2640-3498
chakraborty24a
Distribution-free Conformal Prediction for Ordinal Classification
120
139
120-139
120
false
Vantini, Simone and Fontana, Matteo and Solari, Aldo and Bostr\"{o}m, Henrik and Carlsson, Lars
given family
Simone
Vantini
given family
Matteo
Fontana
given family
Aldo
Solari
given family
Henrik
Boström
given family
Lars
Carlsson
Chakraborty, Subhrasish and Tyagi, Chhavi and Qiao, Haiyan and Guo, Wenge
given family
Subhrasish
Chakraborty
given family
Chhavi
Tyagi
given family
Haiyan
Qiao
given family
Wenge
Guo
2024-09-10
Proceedings of the Thirteenth Symposium on Conformal and Probabilistic Prediction with Applications
inproceedings
date-parts
2024
9
10