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Sequential testing problems involve a complex system with several components, each of which is "working" with some independent probability. The outcome of each component can be determined by performing a test, which incurs some cost. The…

Data Structures and Algorithms · Computer Science 2023-08-22 Rohan Ghuge , Anupam Gupta , Viswanath Nagarajan

Conformal prediction provides a principled framework for constructing predictive sets with finite-sample validity. While much of the focus has been on univariate response variables, existing multivariate methods either impose rigid…

Machine Learning · Statistics 2026-03-19 Sacha Braun , Liviu Aolaritei , Michael I. Jordan , Francis Bach

Methods to quantify uncertainty in predictions from arbitrary models are in demand in high-stakes domains like medicine and finance. Conformal prediction has emerged as a popular method for producing a set of predictions with specified…

Machine Learning · Computer Science 2025-03-19 Jessica Hullman , Yifan Wu , Dawei Xie , Ziyang Guo , Andrew Gelman

Typically, machine learning models are trained and evaluated without making any distinction between users (e.g, using traditional hold-out and cross-validation). However, this produces inaccurate performance metrics estimates in multi-user…

Machine Learning · Computer Science 2023-12-11 Enrique Garcia-Ceja , Luciano Garcia-Banuelos , Nicolas Jourdan

Research on human-AI teams usually provides experts with a single label, which ignores the uncertainty in a model's recommendation. Conformal prediction (CP) is a well established line of research that focuses on building a theoretically…

Artificial Intelligence · Computer Science 2022-05-27 Varun Babbar , Umang Bhatt , Adrian Weller

Unlike the typical classification setting where each instance is associated with a single class, in multi-label learning each instance is associated with multiple classes simultaneously. Therefore the learning task in this setting is to…

Machine Learning · Computer Science 2022-11-30 Harris Papadopoulos

Conformal prediction provides finite-sample, distribution-free coverage under exchangeability, but standard constructions may lack robustness in the presence of outliers or heavy tails. We propose a robust conformal method based on a…

Statistics Theory · Mathematics 2026-04-21 Alejandro Cholaquidis , Emilien Joly , Leonardo Moreno

In this paper we apply Conformal Prediction (CP) to the k-Nearest Neighbours Regression (k-NNR) algorithm and propose ways of extending the typical nonconformity measure used for regression so far. Unlike traditional regression methods…

Machine Learning · Computer Science 2014-01-17 Harris Papadopoulos , Vladimir Vovk , Alex Gammerman

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

Conformal prediction is a model-free machine learning method for constructing prediction regions at a guaranteed coverage probability level. However, a data scientist often faces three challenges in practice: (i) the determination of a…

Machine Learning · Statistics 2026-03-31 Liang Hong , Noura Raydan Nasreddine

Conformal prediction is widely adopted in uncertainty quantification, due to its post-hoc, distribution-free, and model-agnostic properties. In the realm of modern deep learning, researchers have proposed Feature Conformal Prediction (FCP),…

Machine Learning · Computer Science 2024-12-03 Zihao Tang , Boyuan Wang , Chuan Wen , Jiaye Teng

We formulate selecting the best optimizing system (SBOS) problems and provide solutions for those problems. In an SBOS problem, a finite number of systems are contenders. Inside each system, a continuous decision variable affects the…

Methodology · Statistics 2025-11-04 Nian Si , Yifu Tang , Zeyu Zheng

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

Recently, the prediction-correction method has been developed to solve nonlinear convex optimization problems. However, its convergence rate is often poor since large regularization parameters are set to ensure convergence conditions. In…

Optimization and Control · Mathematics 2024-11-05 Sai Wang

Conformal prediction provides a powerful framework for constructing distribution-free prediction regions with finite-sample coverage guarantees. While extensively studied in univariate settings, its extension to multi-output problems…

Machine Learning · Statistics 2025-02-04 Victor Dheur , Matteo Fontana , Yorick Estievenart , Naomi Desobry , Souhaib Ben Taieb

Spectral Clustering(SC) is a prominent data clustering technique of recent times which has attracted much attention from researchers. It is a highly data-driven method and makes no strict assumptions on the structure of the data to be…

Machine Learning · Computer Science 2019-09-18 Lalith Srikanth Chintalapati , Raghunatha Sarma Rachakonda

This paper presents a methodology for using varying sample sizes in sequential quadratic programming (SQP) methods for solving equality constrained stochastic optimization problems. The first part of the paper deals with the delicate issue…

Optimization and Control · Mathematics 2023-03-23 Albert S. Berahas , Raghu Bollapragada , Baoyu Zhou

In response to everyday queries, humans explicitly signal uncertainty and offer alternative answers when they are unsure. Machine learning models that output calibrated prediction sets through conformal prediction mimic this human…

Machine Learning · Computer Science 2024-06-11 Jesse C. Cresswell , Yi Sui , Bhargava Kumar , Noël Vouitsis

Conformal prediction is an assumption-lean approach to generating distribution-free prediction intervals or sets, for nearly arbitrary predictive models, with guaranteed finite-sample coverage. Conformal methods are an active research topic…

Methodology · Statistics 2024-01-19 Jerzy Wieczorek

Conformal prediction (CP) constructs uncertainty sets for model outputs with finite-sample coverage guarantees. A candidate output is included in the prediction set if its non-conformity score is not considered extreme relative to the…

Machine Learning · Statistics 2025-11-20 Eugene Ndiaye