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We propose a multi-scale extension of conformal prediction, an approach that constructs prediction sets with finite-sample coverage guarantees under minimal statistical assumptions. Classic conformal prediction relies on a single notion of…

统计理论 · 数学 2025-02-11 Ali Baheri , Marzieh Amiri Shahbazi

In this paper, we apply conformal prediction to time series data. Conformal prediction isa method that produces predictive regions given a confidence level. The regions outputs arealways valid under the exchangeability assumption. However,…

统计方法学 · 统计学 2021-10-26 Samya Tajmouati , Bouazza El Wahbi , Mohammed Dakkoun

Conformal prediction (CP) converts any model's output to prediction sets with a guarantee to cover the true label with (adjustable) high probability. Robust CP extends this guarantee to worst-case (adversarial) inputs. Existing baselines…

机器学习 · 计算机科学 2025-03-10 Soroush H. Zargarbashi , Aleksandar Bojchevski

Time-delay embedding is a fundamental technique in Topological Data Analysis (TDA) for reconstructing the phase space dynamics of time-series data. Persistent homology effectively identifies global topological features, such as loops…

统计理论 · 数学 2026-04-21 Donghyun Park , Junhyun An , Taehyoung Kim , Jisu Kim

Quantile regression is a technique to estimate conditional quantile curves. It provides a comprehensive picture of a response contingent on explanatory variables. In a flexible modeling framework, a specific form of the conditional quantile…

统计理论 · 数学 2012-08-31 Vladimir Spokoiny , Weining Wang , Wolfgang Karl Härdle

Conformal Prediction (CP) is a powerful statistical machine learning tool to construct uncertainty sets with coverage guarantees, which has fueled its extensive adoption in generating prediction regions for decision-making tasks, e.g.,…

最优化与控制 · 数学 2025-10-21 Han Wang , Chao Ning

Conformal prediction provides distribution-free prediction sets with guaranteed marginal coverage. However, in split conformal prediction this guarantee is training-conditional only in expectation: across many calibration draws, the average…

机器学习 · 计算机科学 2025-09-22 Petrus H. Zwart

This paper develops a sequential-linearization feedback optimization framework for driving nonlinear dynamical systems to an optimal steady state. A fundamental challenge in feedback optimization is the requirement of accurate first-order…

最优化与控制 · 数学 2025-07-22 Shijie Huang , Sergio Grammatico

Probabilistic rounding error analysis can yield much sharper bounds than classical worst-case theory, but existing results typically rely on zero-mean rounding errors and often leave the confidence parameter implicit. This work revisits…

统计计算 · 统计学 2026-03-10 Sahil Bhola , Karthik Duraisamy

Conformal prediction (CP) provides finite-sample, distribution-free marginal coverage, but standard conformal regression intervals can be inefficient under heteroscedasticity and skewness. In particular, popular constructions such as…

机器学习 · 统计学 2026-03-03 Xiaoyi Su , Zhixin Zhou , Rui Luo

Existing inferential methods for small area data involve a trade-off between maintaining area-level frequentist coverage rates and improving inferential precision via the incorporation of indirect information. In this article, we propose a…

统计方法学 · 统计学 2022-04-19 Elizabeth Bersson , Peter D. Hoff

Conformal Prediction provides distribution-free prediction intervals with guaranteed coverage, but its reliance on a single global calibration threshold obscures the sources of uncertainty at the instance level. In particular, it conflates…

Conformal prediction offers a practical framework for distribution-free uncertainty quantification, providing finite-sample coverage guarantees under relatively mild assumptions on data exchangeability. However, these assumptions cease to…

Online conformal prediction (OCP) seeks prediction intervals that achieve long-run $1-\alpha$ coverage for arbitrary (possibly adversarial) data streams, while remaining as informative as possible. Existing OCP methods often require manual…

机器学习 · 统计学 2026-02-04 Tuo Liu , Edgar Dobriban , Francesco Orabona

Conformal prediction provides a pivotal and flexible technique for uncertainty quantification by constructing prediction sets with a predefined coverage rate. Many online conformal prediction methods have been developed to address data…

机器学习 · 统计学 2026-02-25 Dongjian Hu , Junxi Wu , Shu-Tao Xia , Changliang Zou

This paper focuses on forecasting hierarchical time-series data, where each higher-level observation equals the sum of its corresponding lower-level time series. In such contexts, the forecast values should be coherent, meaning that the…

We propose a new approach to Bayesian prior probability distributions (priors) that can improve orbital solutions for low-phase-coverage orbits, where data cover less than approximately 40% of an orbit. In instances of low phase coverage…

地球与行星天体物理 · 物理学 2019-06-12 K. Kosmo O'Neil , G. D. Martinez , A. Hees , A. M. Ghez , T. Do , G. Witzel , Q. Konopacky , E. E. Becklin , D. S. Chu , J. Lu , K. Matthews , S. Sakai

Conformal prediction is widely used to equip black-box machine learning models with uncertainty quantification, offering formal coverage guarantees under exchangeable data. However, these guarantees fail when faced with subpopulation…

机器学习 · 计算机科学 2025-11-10 Nien-Shao Wang , Duygu Nur Yaldiz , Yavuz Faruk Bakman , Sai Praneeth Karimireddy

We introduce a neural network conformal prediction method for time series that enhances adaptivity in non-stationary environments. Our approach acts as a neural controller designed to achieve desired target coverage, leveraging auxiliary…

机器学习 · 计算机科学 2024-12-25 Ruipu Li , Alexander Rodríguez

Uncertainty is critical to reliable decision-making with machine learning. Conformal prediction (CP) handles uncertainty by predicting a set on a test input, hoping the set to cover the true label with at least $(1-\alpha)$ confidence. This…

机器学习 · 计算机科学 2024-03-25 Rui Xu , Yue Sun , Chao Chen , Parv Venkitasubramaniam , Sihong Xie