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A core task in multi-modal learning is to integrate information from multiple feature spaces (e.g., text and audio), offering modality-invariant essential representations of data. Recent research showed that, classical tools such as {\it…

Machine Learning · Computer Science 2024-10-02 Subash Timilsina , Sagar Shrestha , Xiao Fu

Conformal prediction methods provide statistically rigorous marginal coverage guarantees for machine learning models, but such guarantees fail to account for algorithmic biases, thereby undermining fairness and trust. This paper introduces…

Machine Learning · Computer Science 2026-05-13 Senrong Xu , Yanke Zhou , Yuhao Tan , Zenan Li , Yuan Yao , Taolue Chen , Feng Xu , Xiaoxing Ma

We consider conformal prediction for multivariate data and focus on hierarchical data, where some components are linear combinations of others. Intuitively, the hierarchical structure can be leveraged to reduce the size of prediction…

We consider a bilevel optimatisation method for inverse linear atmospheric dispersion problems where both linear and non-linear model parameters are to be determined. We propose that a smooth weighted Mahalanobis distance function is used…

Atmospheric and Oceanic Physics · Physics 2016-07-19 Niklas Brännström , Leif Å Persson

Scenario optimization and conformal prediction share a common goal, that is, turning finite samples into safety margins. Yet, different terminology often obscures the connection between their respective guarantees. This paper revisits that…

Systems and Control · Electrical Eng. & Systems 2026-03-23 Giuseppe C. Calafiore

This paper introduces a boosted conformal procedure designed to tailor conformalized prediction intervals toward specific desired properties, such as enhanced conditional coverage or reduced interval length. We employ machine learning…

Methodology · Statistics 2024-11-12 Ran Xie , Rina Foygel Barber , Emmanuel J. Candès

Calibration ensures that predicted uncertainties align with observed uncertainties. While there is an extensive literature on recalibration methods for univariate probabilistic forecasts, work on calibration for multivariate forecasts is…

Methodology · Statistics 2026-04-02 Lucas Kock , G. S. Rodrigues , Scott A. Sisson , Nadja Klein , David J. Nott

Reliable uncertainty quantification is crucial for reinforcement learning (RL) in high-stakes settings. We propose a unified conformal prediction framework for infinite-horizon policy evaluation that constructs distribution-free prediction…

Machine Learning · Statistics 2025-10-31 Feichen Gan , Youcun Lu , Yingying Zhang , Yukun Liu

There are many interesting and widely used estimators of a functional with finite semiparametric variance bound that depend on nonparametric estimators of nuisance functions. We use cross-fitting (i.e. sample splitting) to construct novel…

Statistics Theory · Mathematics 2018-01-30 Whitney K. Newey , James R. Robins

We propose two new conformity scores for conformal prediction, in a general multivariate regression framework. The underlying score functions are based on a covariance analysis of the residuals and the input points. We give theoretical…

Statistics Theory · Mathematics 2025-06-30 Iain Henderson , Adrien Mazoyer , Fabrice Gamboa

Stratification and rerandomization are two well-known methods used in randomized experiments for balancing the baseline covariates. Renowned scholars in experimental design have recommended combining these two methods; however, limited…

Methodology · Statistics 2021-10-27 Xinhe Wang , Tingyu Wang , Hanzhong Liu

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

Most image restoration problems are ill-conditioned or ill-posed and hence involve significant uncertainty. Quantifying this uncertainty is crucial for reliably interpreting experimental results, particularly when reconstructed images…

Computer Vision and Pattern Recognition · Computer Science 2025-02-10 Jasper M. Everink , Bernardin Tamo Amougou , Marcelo Pereyra

In causal matching designs, some control subjects are often left unmatched, and some covariates are often left unmodeled. This article introduces "rebar," a method using high-dimensional modeling to incorporate these commonly discarded data…

Methodology · Statistics 2018-02-26 Adam C Sales , Ben B Hansen , Brian Rowan

The field of distribution-free predictive inference provides tools for provably valid prediction without any assumptions on the distribution of the data, which can be paired with any regression algorithm to provide accurate and reliable…

Statistics Theory · Mathematics 2023-01-19 Michael Bian , Rina Foygel Barber

Conformal Prediction is a machine learning methodology that produces valid prediction regions under mild conditions. In this paper, we explore the application of making predictions over multiple data sources of different sizes without…

Machine Learning · Statistics 2018-06-15 Ola Spjuth , Lars Carlsson , Niharika Gauraha

This article explores the optimization of variational approximations for posterior covariances of Gaussian multiway arrays. To achieve this, we establish a natural differential geometric optimization framework on the space using the…

Computation · Statistics 2025-01-10 Quinn Simonis , Martin T. Wells

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

Uncertainty is critical to reliable decision-making with machine learning. Conformal prediction (CP) handles uncertainty by predicting a set on a test input, hoping the set to cover the true label with at least $(1-\alpha)$ confidence. This…

Machine Learning · Computer Science 2024-03-25 Rui Xu , Yue Sun , Chao Chen , Parv Venkitasubramaniam , Sihong Xie

This paper introduces a conformal inference method to evaluate uncertainty in classification by generating prediction sets with valid coverage conditional on adaptively chosen features. These features are carefully selected to reflect…

Machine Learning · Statistics 2024-10-31 Yanfei Zhou , Matteo Sesia
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