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Signal Temporal Logic (STL) inference seeks to extract human-interpretable rules from time-series data, but existing methods lack formal confidence guarantees for the inferred rules. Conformal prediction (CP) is a technique that can provide…

Machine Learning · Computer Science 2025-10-23 Danyang Li , Yixuan Wang , Matthew Cleaveland , Mingyu Cai , Roberto Tron

Graph Neural Networks (GNNs) excel in diverse tasks, yet their applications in high-stakes domains are often hampered by unreliable predictions. Although numerous uncertainty quantification methods have been proposed to address this…

Machine Learning · Computer Science 2024-07-22 Tianyi Zhao , Jian Kang , Lu Cheng

This paper proposes an extension to conventional regression Neural Networks (NNs) for replacing the point predictions they produce with prediction intervals that satisfy a required level of confidence. Our approach follows a novel machine…

Machine Learning · Computer Science 2023-12-18 Harris Papadopoulos , Haris Haralambous

Linear complementarity problems are a powerful tool for modeling many practically relevant situations such as market equilibria. They also connect many sub-areas of mathematics like game theory, optimization, and matrix theory. Despite…

Optimization and Control · Mathematics 2022-02-25 Christian Biefel , Frauke Liers , Jan Rolfes , Martin Schmidt

We address the problem of making Conformal Prediction (CP) intervals locally adaptive. Most existing methods focus on approximating the object-conditional validity of the intervals by partitioning or re-weighting the calibration set. Our…

Machine Learning · Computer Science 2023-06-09 Nicolo Colombo

Conformal prediction is a technique for constructing prediction intervals that attain valid coverage in finite samples, without making distributional assumptions. Despite this appeal, existing conformal methods can be unnecessarily…

Methodology · Statistics 2019-05-09 Yaniv Romano , Evan Patterson , Emmanuel J. Candès

Conformal prediction provides a framework for uncertainty quantification, specifically in the forms of prediction intervals and sets with distribution-free guaranteed coverage. While recent cross-conformal techniques such as CV+ and…

Machine Learning · Statistics 2026-01-01 Panisara Meehinkong , Donlapark Ponnoprat

The merit of Conformal Prediction (CP), as a distribution-free framework for uncertainty quantification, depends on generating prediction sets that are efficient, reflected in small average set sizes, while adaptive, meaning they signal…

Machine Learning · Computer Science 2026-02-24 Navid Akhavan Attar , Hesam Asadollahzadeh , Ling Luo , Uwe Aickelin

Conformal prediction (CP) is widely presented as distribution-free predictive inference with finite-sample marginal coverage under exchangeability. We argue that CP is best understood as a rank-calibrated descendant of the…

Statistics Theory · Mathematics 2025-12-30 Jyotishka Datta , Nicholas G. Polson , Vadim Sokolov , Daniel Zantedeschi

Since the Lipschitz properties of convolutional neural networks (CNNs) are widely considered to be related to adversarial robustness, we theoretically characterize the $\ell_1$ norm and $\ell_\infty$ norm of 2D multi-channel convolutional…

Machine Learning · Computer Science 2021-08-17 Youwei Liang , Dong Huang

Traditional conformal prediction methods construct prediction sets such that the true label falls within the set with a user-specified coverage level. However, poorly chosen coverage levels can result in uninformative predictions, either…

Machine Learning · Statistics 2026-04-03 Etienne Gauthier , Francis Bach , Michael I. Jordan

The Super Learner (SL) is a widely used ensemble method that combines predictions from a library of learners based on their predictive performance. Interval predictions are of considerable practical interest because they allow uncertainty…

Machine Learning · Statistics 2026-04-27 Zhanli Wu , Fabrizio Leisen , Miguel-Angel Luque-Fernandez , F. Javier Rubio

Uncertainty quantification is crucial in safety-critical systems, where decisions must be made under uncertainty. In particular, we consider the problem of online uncertainty quantification, where data points arrive sequentially. Online…

Machine Learning · Computer Science 2026-04-21 Junyoung Yang , Kyungmin Kim , Sangdon Park

Based on the framework of Conformal Prediction (CP), we study the online construction of confidence sets given a black-box machine learning model. By converting the target confidence levels into quantile levels, the problem can be reduced…

Machine Learning · Statistics 2025-05-23 Zhiyu Zhang , Zhou Lu , Heng Yang

Convolutional Neural Networks (CNNs) are deployed in more and more classification systems, but adversarial samples can be maliciously crafted to trick them, and are becoming a real threat. There have been various proposals to improve CNNs'…

Machine Learning · Computer Science 2020-02-21 Ilia Shumailov , Yiren Zhao , Robert Mullins , Ross Anderson

Conformal prediction (CP) has attracted broad attention as a simple and flexible framework for uncertainty quantification through prediction sets. In this work, we study how to deploy CP under differential privacy (DP) in a statistically…

Machine Learning · Statistics 2026-04-21 Jiamei Wu , Ce Zhang , Zhipeng Cai , Jingsen Kong , Bei Jiang , Linglong Kong , Lingchen Kong

We give a simple, generic conformal prediction method for sequential prediction that achieves target empirical coverage guarantees against adversarially chosen data. It is computationally lightweight -- comparable to split conformal…

Machine Learning · Computer Science 2022-06-03 Osbert Bastani , Varun Gupta , Christopher Jung , Georgy Noarov , Ramya Ramalingam , Aaron Roth

Conformal prediction has emerged as an effective strategy for uncertainty quantification by modifying a model to output sets of labels instead of a single label. These prediction sets come with the guarantee that they contain the true label…

Machine Learning · Computer Science 2025-05-28 Haosen Ge , Hamsa Bastani , Osbert Bastani

Precise estimation of predictive uncertainty in deep neural networks is a critical requirement for reliable decision-making in machine learning and statistical modeling, particularly in the context of medical AI. Conformal Prediction (CP)…

Machine Learning · Computer Science 2024-01-05 Hamed Karimi , Reza Samavi

Ensuring safety of nonlinear systems under model uncertainty and external disturbances is crucial, especially for real-world control tasks. Predictive methods such as robust model predictive control (RMPC) require solving nonconvex…

Systems and Control · Electrical Eng. & Systems 2023-11-14 Zeyang Li , Chuxiong Hu , Weiye Zhao , Changliu Liu
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