{ "id": "2404.08168", "version": "v1", "published": "2024-04-12T00:21:30.000Z", "updated": "2024-04-12T00:21:30.000Z", "title": "Conformal Prediction via Regression-as-Classification", "authors": [ "Etash Guha", "Shlok Natarajan", "Thomas Möllenhoff", "Mohammad Emtiyaz Khan", "Eugene Ndiaye" ], "comment": "International Conference of Learning Representations 2024", "journal": "International Conference of Learning Representations 2024", "categories": [ "cs.LG", "stat.ML" ], "abstract": "Conformal prediction (CP) for regression can be challenging, especially when the output distribution is heteroscedastic, multimodal, or skewed. Some of the issues can be addressed by estimating a distribution over the output, but in reality, such approaches can be sensitive to estimation error and yield unstable intervals.~Here, we circumvent the challenges by converting regression to a classification problem and then use CP for classification to obtain CP sets for regression.~To preserve the ordering of the continuous-output space, we design a new loss function and make necessary modifications to the CP classification techniques.~Empirical results on many benchmarks shows that this simple approach gives surprisingly good results on many practical problems.", "revisions": [ { "version": "v1", "updated": "2024-04-12T00:21:30.000Z" } ], "analyses": { "keywords": [ "conformal prediction", "regression-as-classification", "output distribution", "simple approach", "cp classification" ], "tags": [ "conference paper", "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }