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AdaptNC: Adaptive Nonconformity Scores for Conformal Prediction under Distribution Shift

NeurIPS 2026 · Probabilistic and scientific modeling › Molecules and proteins · approach: Prediction-powered and conformal inference · 0 citations (OpenAlex)

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Proposes AdaptNC, which jointly adapts a convex-template nonconformity score (via KDE high-density regions with DtACI-based history reweighting) and the conformal threshold online, with a replay buffer to mitigate coverage shock, and reports smaller prediction volumes than DtACI and Split/Shape CP on three robotics case studies.

Problem

Online conformal prediction under distribution shift keeps the nonconformity score fixed, so prediction regions can only be resized, not reshaped, leading to conservative, volume-inefficient regions when error geometry changes in robotic settings.

Approach

Jointly adapt the nonconformity score parameters (a convex-hull shape template fit to weighted high-density residuals, with weights from DtACI expert mixtures) and the conformal threshold online, and replay recent observations after each score update to recalibrate DtACI's expert state ("coverage shock" mitigation).

Key results

Surprising findings

Limitations

Experimental setup

Datasets: simulated indoor localization wireless signal data simulated social navigation trajectories (8 agents) simulated multirotor tracking trajectories

Benchmarks: Indoor Localization Social Navigation Multirotor Tracking

Metrics: global coverage prediction region volume mean local coverage

Baselines: DtACI Split Conformal Prediction AdaptNC without replay Shape-CP

Builds on: DtACI Adaptive Conformal Inference Shape-CP Monte Carlo kernel density estimation

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