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Parameter-Free and Group Conditional Online Conformal Pre...
[Submitted on 29 May 2026 (v1), last revised 7 Jul 2026 (this ve · 2026-05-30 · via cs.LG updates on arXiv.org

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Abstract:Uncertainty quantification (UQ) is critical for the deployment of machine learning predictors in real-world scenarios where the data distribution may shift over time (i.e., data may not be exchangeable). Online conformal prediction (OCP) methods address this issue at the expense of either (i) group-wise error control or (ii) learning-rate independent implementation. Group-conditional coverage is essential for fairness across different collections of data points and for providing finer UQ guarantees. Parameter-free optimization is crucial for robustness to adversarial and unknown data shifts. We propose a parameter-free algorithm for group-conditional OCP and demonstrate that it achieves the best group-conditional coverage guarantees. We evaluate our algorithm on synthetic and real-world data, demonstrating that our method not only improves the reliability of existing parameter-free OCP methods but also provides prediction intervals that are comparable in size to well-tuned group-conditional approaches. By unifying group-conditional coverage with parameter-free online algorithms, our work lays a foundation for fair and robust uncertainty quantification in shifting environments.

Submission history

From: Beepul Bharti [view email]
[v1] Fri, 29 May 2026 23:15:04 UTC (3,338 KB)
[v2] Tue, 2 Jun 2026 15:50:21 UTC (3,338 KB)
[v3] Mon, 8 Jun 2026 03:33:21 UTC (3,338 KB)
[v4] Tue, 7 Jul 2026 14:23:20 UTC (3,334 KB)