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The matrix completion problem aims to reconstruct a low-rank matrix based on a revealed set of possibly noisy entries. Prior works consider completing the entire matrix with generalization error guarantees. However, the completion accuracy…

Machine Learning · Computer Science 2023-12-19 Elad Hazan , Adam Tauman Kalai , Varun Kanade , Clara Mohri , Y. Jennifer Sun

If you are predicting the label $y$ of a new object with $\hat y$, how confident are you that $y = \hat y$? Conformal prediction methods provide an elegant framework for answering such question by building a $100 (1 - \alpha)\%$ confidence…

Machine Learning · Statistics 2019-11-11 Eugene Ndiaye , Ichiro Takeuchi

We introduce Conformal Decision Theory, a framework for producing safe autonomous decisions despite imperfect machine learning predictions. Examples of such decisions are ubiquitous, from robot planning algorithms that rely on pedestrian…

The task of predicting missing entries of a matrix, from a subset of known entries, is known as \textit{matrix completion}. In today's data-driven world, data completion is essential whether it is the main goal or a pre-processing step.…

Numerical Analysis · Mathematics 2021-05-18 Henry Adams , Lara Kassab , Deanna Needell

Numerous studies have focused on learning and understanding the dynamics of physical systems from video data, such as spatial intelligence. Artificial intelligence requires quantitative assessments of the uncertainty of the model to ensure…

Machine Learning · Computer Science 2024-12-18 Aoming Liang , Qi Liu , Lei Xu , Fahad Sohrab , Weicheng Cui , Changhui Song , Moncef Gabbouj

We extend conformal inference to general settings that allow for time series data. Our proposal is developed as a randomization method and accounts for potential serial dependence by including block structures in the permutation scheme. As…

Machine Learning · Statistics 2019-07-09 Victor Chernozhukov , Kaspar Wuthrich , Yinchu Zhu

Conformal prediction constructs a set of labels instead of a single point prediction, while providing a probabilistic coverage guarantee. Beyond the coverage guarantee, adaptiveness to example difficulty is an important property. It means…

Machine Learning · Computer Science 2025-11-18 Sooyong Jang , Insup Lee

The accurate representation of epistemic uncertainty is a challenging yet essential task in machine learning. A widely used representation corresponds to convex sets of probabilistic predictors, also known as credal sets. One popular way of…

Machine Learning · Computer Science 2025-07-30 Mira Jürgens , Thomas Mortier , Eyke Hüllermeier , Viktor Bengs , Willem Waegeman

A subjective expected utility policy making centre, managing complex, dynamic systems, needs to draw on the expertise of a variety of disparate panels of experts and integrate this information coherently. To achieve this, diverse supporting…

Methodology · Statistics 2015-12-21 Jim Q. Smith , Martine J. Barons , Manuele Leonelli

Accurate sensor calibration is crucial for autonomous systems, yet its uncertainty quantification remains underexplored. We present the first approach to integrate uncertainty awareness into online extrinsic calibration, combining Monte…

Computer Vision and Pattern Recognition · Computer Science 2025-04-28 Mathieu Cocheteux , Julien Moreau , Franck Davoine

We propose a new method called localized conformal prediction, where we can perform conformal inference using only a local region around a new test sample to construct its confidence interval. Localized conformal inference is a natural…

Statistics Theory · Mathematics 2020-07-08 Leying Guan

Several uncertainty estimation methods have been recently proposed for machine translation evaluation. While these methods can provide a useful indication of when not to trust model predictions, we show in this paper that the majority of…

Computation and Language · Computer Science 2023-06-13 Chrysoula Zerva , André F. T. Martins

Prediction-powered inference is a recent methodology for the safe use of black-box ML models to impute missing data, strengthening inference of statistical parameters. However, many applications require strong properties besides valid…

We introduce Matched Machine Learning, a framework that combines the flexibility of machine learning black boxes with the interpretability of matching, a longstanding tool in observational causal inference. Interpretability is paramount in…

Methodology · Statistics 2023-04-05 Marco Morucci , Cynthia Rudin , Alexander Volfovsky

Conformal prediction provides prediction sets with finite-sample marginal coverage, but many applications require coverage guarantees that adapt to individual test points, a subpopulation, or a structural component of the data. Existing…

Methodology · Statistics 2026-05-27 Yinjie Min , Liuhua Peng , Changliang Zou

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…

Statistics Theory · Mathematics 2025-02-11 Ali Baheri , Marzieh Amiri Shahbazi

Matrix completion has attracted significant recent attention in many fields including statistics, applied mathematics and electrical engineering. Current literature on matrix completion focuses primarily on independent sampling models under…

Methodology · Statistics 2015-04-09 Tianxi Cai , T. Tony Cai , Anru Zhang

Group Recommender Systems (GRS) play an essential role in supporting collective decision-making among users with diverse and potentially conflicting preferences. However, achieving stable intra-group consensus becomes particularly…

Information Retrieval · Computer Science 2026-03-24 Anh Nguyen Van , Huy Ngo Hoang , Khoi Ngo Nguyen , Ngoc Pham Thi , Khanh Ngo Mai Bao , Quyen Nguyen Van

Foundation models are trained on vast amounts of data at scale using self-supervised learning, enabling adaptation to a wide range of downstream tasks. At test time, these models exhibit zero-shot capabilities through which they can…

Artificial Intelligence · Computer Science 2023-11-28 Shiladitya Dutta , Hongbo Wei , Lars van der Laan , Ahmed M. Alaa

The problem of completing high-dimensional matrices from a limited set of observations arises in many big data applications, especially, recommender systems. Existing matrix completion models generally follow either a memory- or a…

Machine Learning · Computer Science 2019-09-30 Duc Minh Nguyen , Robert Calderbank , Nikos Deligiannis