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This paper proposes corrected forecast combinations when the original combined forecast errors are serially dependent. Motivated by the classic Bates and Granger (1969) example, we show that combined forecast errors can be strongly…

计量经济学 · 经济学 2026-01-16 Chu-An Liu , Andrey L. Vasnev

We present a new distribution-free conformal prediction algorithm for sequential data (e.g., time series), called the \textit{sequential predictive conformal inference} (\texttt{SPCI}). We specifically account for the nature that time…

机器学习 · 统计学 2023-05-31 Chen Xu , Yao Xie

Uncertainty estimates must be calibrated (i.e., accurate) and sharp (i.e., informative) in order to be useful. This has motivated a variety of methods for recalibration, which use held-out data to turn an uncalibrated model into a…

机器学习 · 计算机科学 2022-07-06 Charles Marx , Shengjia Zhao , Willie Neiswanger , Stefano Ermon

Conformal risk control is an extension of conformal prediction for controlling risk functions beyond miscoverage. The original algorithm controls the expected value of a loss that is monotonic in a one-dimensional parameter. Here, we…

统计方法学 · 统计学 2026-02-24 Anastasios N. Angelopoulos

In this paper, we introduce a novel method to generate interpretable regression function estimators. The idea is based on called data-dependent coverings. The aim is to extract from the data a covering of the feature space instead of a…

Uncertainty quantification has received considerable interest in recent works in Machine Learning. In particular, Conformal Prediction (CP) gains ground in this field. For the case of time series, Online Conformal Prediction (OCP) becomes…

机器学习 · 计算机科学 2025-11-03 Théo Dupuy , Binbin Xu , Stéphane Perrey , Jacky Montmain , Abdelhak Imoussaten

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…

机器学习 · 统计学 2023-06-06 Margaux Zaffran , Aymeric Dieuleveut , Julie Josse , Yaniv Romano

This article is dedicated to the estimation of the regression function when the explanatory variable is a weakly dependent process whose correlation coefficient exhibits exponential decay and has a known bounded density function. The…

统计理论 · 数学 2025-07-17 Karine Bertin , Lisandro Fermin , Miguel Padrino

The log-concave maximum likelihood estimator of a density on the real line based on a sample of size $n$ is known to attain the minimax optimal rate of convergence of $O(n^{-4/5})$ with respect to, e.g., squared Hellinger distance. In this…

统计理论 · 数学 2016-09-06 Arlene K. H. Kim , Adityanand Guntuboyina , Richard J. Samworth

The conventional approach to fixed-order perturbative QCD predictions is based on an arbitrary choice of the renormalization scale, together with an arbitrary range. This {\it ad hoc} assignment of the renormalization scale causes the…

高能物理 - 唯象学 · 物理学 2019-12-19 Xing-Gang Wu , Jian-Ming Shen , Bo-Lun Du , Xu-Dong Huang , Sheng-Quan Wang , Stanley J. Brodsky

We examine the problem of learning sequential tasks from a single visual demonstration. A key challenge arises when demonstrations are temporally misaligned due to variations in timing, differences in embodiment, or inconsistencies in…

机器学习 · 计算机科学 2025-07-16 William Huey , Huaxiaoyue Wang , Anne Wu , Yoav Artzi , Sanjiban Choudhury

Regression problems with bounded continuous outcomes frequently arise in real-world statistical and machine learning applications, such as the analysis of rates and proportions. A central challenge in this setting is predicting a response…

机器学习 · 统计学 2025-07-21 Zhanli Wu , Fabrizio Leisen , F. Javier Rubio

Conformal prediction (CP) offers distribution-free marginal coverage guarantees under an exchangeability assumption, but these guarantees can fail if the data distribution shifts. We analyze the use of pseudo-calibration as a tool to…

机器学习 · 计算机科学 2026-02-17 Farbod Siahkali , Ashwin Verma , Vijay Gupta

Online forecasting under a changing environment has been a problem of increasing importance in many real-world applications. In this paper, we consider the meta-algorithm presented in \citet{zhang2017dynamic} combined with different…

机器学习 · 计算机科学 2020-11-16 Anant Raj , Pierre Gaillard , Christophe Saad

Machine-learning techniques are essential in modern collider research, yet their probabilistic outputs often lack calibrated uncertainty estimates and finite-sample guarantees, limiting their direct use in statistical inference and…

高能物理 - 唯象学 · 物理学 2025-12-22 Jack Y. Araz , Michael Spannowsky

Time series forecasting is critical for many applications, where deep learning-based point prediction models have demonstrated strong performance. However, in practical scenarios, there is also a need to quantify predictive uncertainty…

机器学习 · 计算机科学 2025-05-14 Xiannan Huang , Shuhan Qiu

Conformal prediction is a framework for providing prediction intervals with distribution-free validity, guaranteeing predictive coverage for data drawn from any distribution. Its two main variants are full conformal prediction and split…

统计方法学 · 统计学 2026-05-29 Aabesh Bhattacharyya , Boxuan Zhang , Rina Foygel Barber

In Optimal Recovery, the task of learning a function from observational data is tackled deterministically by adopting a worst-case perspective tied to an explicit model assumption made on the functions to be learned. Working in the…

最优化与控制 · 数学 2021-11-05 Simon Foucart , Chunyang Liao

Frequency-limited model order reduction aims to approximate a high-order model with a reduced-order model that maintains high fidelity within a specific frequency range. Beyond this range, a decrease in accuracy is acceptable due to the…

系统与控制 · 电气工程与系统科学 2023-06-27 Umair Zulfiqar , Xin Du , Qiuyan Song , Zhi-Hua Xiao , Victor Sreeram

Arbitrary-oriented objects exist widely in natural scenes, and thus the oriented object detection has received extensive attention in recent years. The mainstream rotation detectors use oriented bounding boxes (OBB) or quadrilateral…

计算机视觉与模式识别 · 计算机科学 2021-10-07 Qi Ming , Lingjuan Miao , Zhiqiang Zhou , Xue Yang , Yunpeng Dong