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We study statistical inference and distributionally robust solution methods for stochastic optimization problems, focusing on confidence intervals for optimal values and solutions that achieve exact coverage asymptotically. We develop a…

机器学习 · 统计学 2018-07-03 John Duchi , Peter Glynn , Hongseok Namkoong

This book is about conformal prediction and related inferential techniques that build on permutation tests and exchangeability. These techniques are useful in a diverse array of tasks, including hypothesis testing and providing uncertainty…

统计理论 · 数学 2026-03-09 Anastasios N. Angelopoulos , Rina Foygel Barber , Stephen Bates

Conformal prediction is a framework for providing prediction intervals with distribution-free validity, guaranteeing predictive coverage for data drawn from any distribution. Its two main variants are full conformal prediction and split…

统计方法学 · 统计学 2026-05-29 Aabesh Bhattacharyya , Boxuan Zhang , Rina Foygel Barber

We consider the optimization of an uncertain objective over continuous and multi-dimensional decision spaces in problems in which we are only provided with observational data. We propose a novel algorithmic framework that is tractable,…

机器学习 · 统计学 2018-10-30 Dimitris Bertsimas , Christopher McCord

Estimating and disentangling epistemic uncertainty, uncertainty that is reducible with more training data, and aleatoric uncertainty, uncertainty that is inherent to the task at hand, is critically important when applying machine learning…

机器学习 · 计算机科学 2024-11-08 Matthew A. Chan , Maria J. Molina , Christopher A. Metzler

Conformal prediction is a flexible framework for calibrating machine learning predictions, providing distribution-free statistical guarantees. In outlier detection, this calibration relies on a reference set of labeled inlier data to…

机器学习 · 统计学 2025-06-17 Meshi Bashari , Matteo Sesia , Yaniv Romano

This paper presents a new approach for assessing uncertainty in machine translation by simultaneously evaluating translation quality and providing a reliable confidence score. Our approach utilizes conformal predictive distributions to…

计算与语言 · 计算机科学 2023-06-05 Patrizio Giovannotti

Split conformal prediction has recently sparked great interest due to its ability to provide formally guaranteed uncertainty sets or intervals for predictions made by black-box neural models, ensuring a predefined probability of containing…

机器学习 · 计算机科学 2024-01-29 António Farinhas , Chrysoula Zerva , Dennis Ulmer , André F. T. Martins

Conformal prediction is emerging as a popular paradigm for providing rigorous uncertainty quantification in machine learning since it can be easily applied as a post-processing step to already trained models. In this paper, we extend…

机器学习 · 计算机科学 2023-06-02 Charles Lu , Yaodong Yu , Sai Praneeth Karimireddy , Michael I. Jordan , Ramesh Raskar

Data assimilation, consisting in the combination of a dynamical model with a set of noisy and incomplete observations in order to infer the state of a system over time, involves uncertainty in most settings. Building upon an existing…

机器学习 · 计算机科学 2026-03-02 Anthony Frion , David S Greenberg

In this paper, we present Robust Model Predictive Control (MPC) problems with adjustable uncertainty sets. In contrast to standard Robust MPC problems with known uncertainty sets, we treat the uncertainty sets in our problems as additional…

最优化与控制 · 数学 2018-09-21 Yeojun Kim , Xiaojing Zhang , Jacopo Guanetti , Francesco Borrelli

We propose a learning-based robust predictive control algorithm that compensates for significant uncertainty in the dynamics for a class of discrete-time systems that are nominally linear with an additive nonlinear component. Such systems…

系统与控制 · 电气工程与系统科学 2022-12-05 Rohan Sinha , James Harrison , Spencer M. Richards , Marco Pavone

What does it mean to say that, for example, the probability for rain tomorrow is between 20% and 30%? The theory for the evaluation of precise probabilistic forecasts is well-developed and is grounded in the key concepts of proper scoring…

机器学习 · 计算机科学 2024-10-31 Christian Fröhlich , Robert C. Williamson

Many machine learning algorithms rely on iterative updates of uncertainty representations, ranging from variational inference and expectation-maximization, to reinforcement learning, continual learning, and multi-agent learning. In the…

机器学习 · 计算机科学 2026-02-05 Michele Caprio , Siu Lun Chau , Krikamol Muandet

Counterfactual explanations are widely used to interpret machine learning predictions by identifying minimal changes to input features that would alter a model's decision. However, most existing counterfactual methods have not been tested…

机器学习 · 计算机科学 2026-02-03 Leonidas Christodoulou , Chang Sun

Attempts to replicate probabilistic reasoning in expert systems have typically overlooked a critical ingredient of that process. Probabilistic analysis typically requires extensive judgments regarding interdependencies among hypotheses and…

人工智能 · 计算机科学 2013-04-15 Marvin S. Cohen

Decomposing prediction uncertainty into aleatoric (irreducible) and epistemic (reducible) components is critical for the reliable deployment of machine learning systems. While the mutual information between the response variable and model…

机器学习 · 统计学 2026-02-10 Anchit Jain , Stephen Bates

We present a new framework to address the non-convex robust hypothesis testing problem, wherein the goal is to seek the optimal detector that minimizes the maximum of worst-case type-I and type-II risk functions. The distributional…

机器学习 · 统计学 2024-03-25 Jie Wang , Rui Gao , Yao Xie

Conformal prediction offers a distribution-free framework for constructing prediction sets with coverage guarantees. In practice, multiple valid conformal prediction sets may be available, arising from different models or methodologies.…

机器学习 · 统计学 2025-06-26 Mahmoud Hegazy , Liviu Aolaritei , Michael I. Jordan , Aymeric Dieuleveut

Conformalized Quantile Regression (CQR) is a recently proposed method for constructing prediction intervals for a response $Y$ given covariates $X$, without making distributional assumptions. However, existing constructions of CQR can be…

统计方法学 · 统计学 2024-05-16 Raphael Rossellini , Rina Foygel Barber , Rebecca Willett
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