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We study the split Conformal Prediction method when applied to Markovian data. We quantify the gap in terms of coverage induced by the correlations in the data (compared to exchangeable data). This gap strongly depends on the mixing…

Machine Learning · Computer Science 2024-07-23 Frédéric Zheng , Alexandre Proutiere

We introduce the Markov Distributional Conformal Prediction (MDCP) method that extends the distributional conformal prediction (previously developed for regression) to the setting of a strictly stationary Markov process. Instead of relying…

Methodology · Statistics 2026-05-26 Dehao Dai , Kejin Wu , Dimitris N. Politis

While conformal predictors reap the benefits of rigorous statistical guarantees on their error frequency, the size of their corresponding prediction sets is critical to their practical utility. Unfortunately, there is currently a lack of…

Machine Learning · Statistics 2024-03-12 Guneet S. Dhillon , George Deligiannidis , Tom Rainforth

Time series forecasting (TSF) is an essential branch of machine learning with various applications. Most methods for TSF focus on constructing different networks to extract better information and improve performance. However, practical…

Machine Learning · Computer Science 2025-02-19 Yanru Sun , Zongxia Xie , Haoyu Xing , Hualong Yu , Qinghua Hu

Conformal regression provides prediction intervals with global coverage guarantees, but often fails to capture local error distributions, leading to non-homogeneous coverage. We address this with a new adaptive method based on rescaling…

Machine Learning · Computer Science 2023-06-01 Nicolas Deutschmann , Mattia Rigotti , Maria Rodriguez Martinez

Information projections are the key building block of variational inference algorithms and are used to approximate a target probabilistic model by projecting it onto a family of tractable distributions. In general, there is no guarantee on…

Machine Learning · Computer Science 2015-10-06 Lun-Kai Hsu , Tudor Achim , Stefano Ermon

We develop Temporal Quantile Adjustment (TQA), a general method to construct efficient and valid prediction intervals (PIs) for regression on cross-sectional time series data. Such data is common in many domains, including econometrics and…

Machine Learning · Statistics 2022-05-24 Zhen Lin , Shubhendu Trivedi , Jimeng Sun

Conformal prediction provides a distribution-free framework for uncertainty quantification via prediction sets with exact finite-sample coverage. In low dimensions these sets are easy to interpret, but in high-dimensional or structured…

Machine Learning · Statistics 2026-05-08 Trevor Harris

Large language models have steadily increased in size to achieve improved performance; however, this growth has also led to greater inference time and computational demands. Consequently, there is rising interest in model size reduction…

Over the last few decades, various methods have been proposed for estimating prediction intervals in regression settings, including Bayesian methods, ensemble methods, direct interval estimation methods and conformal prediction methods. An…

Machine Learning · Statistics 2024-04-02 Nicolas Dewolf , Bernard De Baets , Willem Waegeman

This paper presents a unified framework for understanding the methodology and theory behind several different methods in the conformal prediction literature, which includes standard conformal prediction (CP), weighted conformal prediction…

Statistics Theory · Mathematics 2025-12-23 Rina Foygel Barber , Ryan J. Tibshirani

Time series forecasting is crucial for applications like resource scheduling and risk management, where multi-step predictions provide a comprehensive view of future trends. Uncertainty Quantification (UQ) is a mainstream approach for…

Machine Learning · Computer Science 2025-09-23 Qingdi Yu , Zhiwei Cao , Ruihang Wang , Zhen Yang , Lijun Deng , Min Hu , Yong Luo , Xin Zhou

Existing evaluations of conformal prediction, such as prediction efficiency and test-conditional coverage, are defined in expectation over the calibration data. In practice, when only one calibration set of limited size is available,…

Methodology · Statistics 2026-05-05 Yinjie Min , Liuhua Peng , Changliang Zou

Gaussian Process Regression (GPR) is a popular regression method, which unlike most Machine Learning techniques, provides estimates of uncertainty for its predictions. These uncertainty estimates however, are based on the assumption that…

Machine Learning · Computer Science 2024-08-29 Harris Papadopoulos

Conformal prediction is a theoretically grounded framework for constructing predictive intervals. We study conformal prediction with missing values in the covariates -- a setting that brings new challenges to uncertainty quantification. We…

Machine Learning · Statistics 2023-06-06 Margaux Zaffran , Aymeric Dieuleveut , Julie Josse , Yaniv Romano

We propose a nonlinear model predictive control (NMPC) framework based on a direct optimal control method that ensures continuous-time constraint satisfaction and accurate evaluation of the running cost, without compromising computational…

Optimization and Control · Mathematics 2024-05-02 Samet Uzun , Purnanand Elango , Abhinav G. Kamath , Taewan Kim , Behcet Acikmese

Conformal prediction can yield statistically valid prediction intervals for any regression model, with no model modifications and small computational costs. To assess its practical value, we apply conformal methods to quantify uncertainty…

Atmospheric and Oceanic Physics · Physics 2026-03-31 Miriam Simm , Corinna Hoose , Tom Beucler

Conformal prediction provides rigorous, distribution-free uncertainty guarantees, but often yields prohibitively large prediction sets in structured domains such as routing, planning, or sequential recommendation. We introduce "graph-based…

Machine Learning · Computer Science 2026-03-31 Sreenivas Gollapudi , Kostas Kollias , Kamesh Munagala , Aravindan Vijayaraghavan

We develop a predictive inference procedure that combines conformal prediction (CP) with unconditional quantile regression (QR) -- a commonly used tool in econometrics that involves regressing the recentered influence function (RIF) of the…

Machine Learning · Computer Science 2023-04-05 Ahmed M. Alaa , Zeshan Hussain , David Sontag

Early stopping based on hold-out data is a popular regularization technique designed to mitigate overfitting and increase the predictive accuracy of neural networks. Models trained with early stopping often provide relatively accurate…

Machine Learning · Statistics 2023-06-28 Ziyi Liang , Yanfei Zhou , Matteo Sesia
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