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Optimal design for linear regression is a fundamental task in statistics. For finite design spaces, recent progress has shown that random designs drawn using proportional volume sampling (PVS) lead to approximation guarantees for A-optimal…

统计计算 · 统计学 2021-02-02 Arnaud Poinas , Rémi Bardenet

This paper proposes probabilistic conformal prediction (PCP), a predictive inference algorithm that estimates a target variable by a discontinuous predictive set. Given inputs, PCP construct the predictive set based on random samples from…

机器学习 · 统计学 2022-06-22 Zhendong Wang , Ruijiang Gao , Mingzhang Yin , Mingyuan Zhou , David M. Blei

Convolutional image classifiers can achieve high predictive accuracy, but quantifying their uncertainty remains an unresolved challenge, hindering their deployment in consequential settings. Existing uncertainty quantification techniques,…

计算机视觉与模式识别 · 计算机科学 2022-09-07 Anastasios Angelopoulos , Stephen Bates , Jitendra Malik , Michael I. Jordan

This paper introduces a framework for uncertainty quantification in regression models defined in metric spaces. Leveraging a newly defined notion of homoscedasticity, we develop a conformal prediction algorithm that offers finite-sample…

机器学习 · 统计学 2025-07-22 Gábor Lugosi , Marcos Matabuena

Uncertainty quantification for neural operators remains an open problem in the infinite-dimensional setting due to the lack of finite-sample coverage guarantees over functional outputs. While conformal prediction offers finite-sample…

机器学习 · 计算机科学 2025-09-08 David Millard , Lars Lindemann , Ali Baheri

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…

机器学习 · 计算机科学 2022-06-03 Osbert Bastani , Varun Gupta , Christopher Jung , Georgy Noarov , Ramya Ramalingam , Aaron Roth

Predictive models make mistakes. Hence, there is a need to quantify the uncertainty associated with their predictions. Conformal inference has emerged as a powerful tool to create statistically valid prediction regions around point…

机器学习 · 统计学 2024-02-14 Luben M. C. Cabezas , Mateus P. Otto , Rafael Izbicki , Rafael B. Stern

Distributional regression aims at estimating the conditional distribution of a targetvariable given explanatory co-variates. It is a crucial tool for forecasting whena precise uncertainty quantification is required. A popular methodology…

统计理论 · 数学 2024-11-22 Clément Dombry , Ahmed Zaoui

Conformal predictive systems are sets of predictive distributions with theoretical out-of-sample calibration guarantees. The calibration guarantees are typically that the set of predictions contains a forecast distribution whose prediction…

统计方法学 · 统计学 2025-11-03 Sam Allen , Enrico Pescara , Johanna Ziegel

We develop a method to generate predictive regions that cover a multivariate response variable with a user-specified probability. Our work is composed of two components. First, we use a deep generative model to learn a representation of the…

机器学习 · 计算机科学 2022-12-26 Shai Feldman , Stephen Bates , Yaniv Romano

Multivariate conformal prediction requires nonconformity scores that compress residual vectors into scalars while preserving certain implicit geometric structure of the residual distribution. We introduce a Multivariate Kernel Score (MKS)…

机器学习 · 统计学 2026-04-24 Louis Meyer , Wenkai Xu

Though black-box predictors are state-of-the-art for many complex tasks, they often fail to properly quantify predictive uncertainty and may provide inappropriate predictions for unfamiliar data. Instead, we can learn more reliable models…

机器学习 · 统计学 2021-12-14 Jean Feng , Arjun Sondhi , Jessica Perry , Noah Simon

Sequences of labeled events observed at irregular intervals in continuous time are ubiquitous across various fields. Temporal Point Processes (TPPs) provide a mathematical framework for modeling these sequences, enabling inferences such as…

机器学习 · 计算机科学 2024-06-06 Victor Dheur , Tanguy Bosser , Rafael Izbicki , Souhaib Ben Taieb

Machine learning is increasingly deployed in safety-critical domains where erroneous predictions may lead to potentially catastrophic consequences, highlighting the need for learning systems to be aware of how confident they are in their…

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…

统计方法学 · 统计学 2019-05-09 Yaniv Romano , Evan Patterson , Emmanuel J. Candès

Density regression provides a flexible strategy for modeling the distribution of a response variable $Y$ given predictors $\mathbf{X}=(X_1,\ldots,X_p)$ by letting that the conditional density of $Y$ given $\mathbf{X}$ as a completely…

统计理论 · 数学 2016-01-07 Weining Shen , Subhashis Ghosal

Probabilistic guarantees on the prediction of data-driven classifiers are necessary to define models that can be considered reliable. This is a key requirement for modern machine learning in which the goodness of a system is measured in…

机器学习 · 统计学 2025-01-30 Alberto Carlevaro , Teodoro Alamo , Fabrizio Dabbene , Maurizio Mongelli

Conformal prediction provides a model-agnostic framework for uncertainty quantification with finite-sample validity guarantees, making it an attractive tool for constructing reliable prediction sets. However, existing approaches commonly…

机器学习 · 统计学 2025-05-30 Eshant English , Christoph Lippert

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…

机器学习 · 统计学 2018-06-15 Ola Spjuth , Lars Carlsson , Niharika Gauraha

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…

机器学习 · 统计学 2019-11-11 Eugene Ndiaye , Ichiro Takeuchi