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Successful application of machine learning models to real-world prediction problems, e.g. financial forecasting and personalized medicine, has proved to be challenging, because such settings require limiting and quantifying the uncertainty…

Machine Learning · Computer Science 2020-09-15 Yao Zhang , William Zame , Mihaela van der Schaar

Conformal Prediction offers a powerful framework for quantifying uncertainty in machine learning models, enabling the construction of prediction sets with finite-sample validity guarantees. While easily adaptable to non-probabilistic…

Machine Learning · Statistics 2024-11-27 Eshant English , Christoph Lippert

Amortized Bayesian Inference (ABI) enables efficient posterior estimation using generative neural networks trained on simulated data, but often suffers from performance degradation under model misspecification. While self-consistency (SC)…

Machine Learning · Statistics 2026-02-27 Aayush Mishra , Šimon Kucharský , Paul-Christian Bürkner

Based on the framework of Conformal Prediction (CP), we study the online construction of confidence sets given a black-box machine learning model. By converting the target confidence levels into quantile levels, the problem can be reduced…

Machine Learning · Statistics 2025-05-23 Zhiyu Zhang , Zhou Lu , Heng Yang

Conformal prediction delivers prediction intervals with distribution-free coverage, but its intervals can look overconfident in regions where the model is extrapolating, because standard conformal scores do not explicitly represent…

Machine Learning · Statistics 2026-03-10 Luben M. C. Cabezas , Sabina J. Sloman , Bruno M. Resende , Fanyi Wu , Michele Caprio , Rafael Izbicki

Black-box machine learning models are now routinely used in high-risk settings, like medical diagnostics, which demand uncertainty quantification to avoid consequential model failures. Conformal prediction is a user-friendly paradigm for…

Machine Learning · Computer Science 2022-12-08 Anastasios N. Angelopoulos , Stephen Bates

We propose several prediction intervals procedures for the individual treatment effect with either finite-sample or asymptotic coverage guarantee in a non-parametric regression setting, where non-linear regression functions,…

Methodology · Statistics 2020-06-03 Danijel Kivaranovic , Robin Ristl , Martin Posch , Hannes Leeb

Deploying trustworthy AI systems requires principled uncertainty quantification. Conformal prediction (CP) is a widely used framework for constructing prediction sets with distribution-free coverage guarantees. In many practical settings,…

Machine Learning · Computer Science 2026-03-18 Haifeng Wen , Osvaldo Simeone , Hong Xing

Model predictive control (MPC) is an optimal control method that predicts the future states of the system being controlled and estimates the optimal control inputs that drive the predicted states to the required reference. The computations…

Systems and Control · Electrical Eng. & Systems 2023-05-05 Eslam Mostafa , Hussein A. Aly , Ahmed Elliethy

Adaptive experiment designs can dramatically improve statistical efficiency in randomized trials, but they also complicate statistical inference. For example, it is now well known that the sample mean is biased in adaptive trials.…

Machine Learning · Statistics 2021-02-16 Vitor Hadad , David A. Hirshberg , Ruohan Zhan , Stefan Wager , Susan Athey

Linear models are foundational tools in statistics and ubiquitous across the applied sciences. However, conventional statistical inference -- such as $t$-tests and $F$-tests -- are only valid at fixed sample sizes, making them unsuitable…

Methodology · Statistics 2025-07-08 Michael Lindon , Dae Woong Ham , Martin Tingley , Iavor Bojinov

Conformal prediction methods are statistical tools designed to quantify uncertainty and generate predictive sets with guaranteed coverage probabilities. This work introduces an innovative refinement to these methods for classification…

Machine Learning · Statistics 2025-12-04 Jean-Baptiste Fermanian , Mohamed Hebiri , Joseph Salmon

Confidence intervals (CIs) are instrumental in statistical analysis, providing a range estimate of the parameters. In modern statistics, selective inference is common, where only certain parameters are highlighted. However, this selective…

Methodology · Statistics 2025-09-17 Tzviel Frostig , Yoav Benjamini , Ruth Heller

Uncertainty quantification of causal effects is crucial for safety-critical applications such as personalized medicine. A powerful approach for this is conformal prediction, which has several practical benefits due to model-agnostic…

Machine Learning · Computer Science 2026-02-04 Maresa Schröder , Dennis Frauen , Jonas Schweisthal , Konstantin Heß , Valentyn Melnychuk , Stefan Feuerriegel

Adaptive confidence intervals for regression functions are constructed under shape constraints of monotonicity and convexity. A natural benchmark is established for the minimum expected length of confidence intervals at a given function in…

Statistics Theory · Mathematics 2013-05-27 T. Tony Cai , Mark G. Low , Yin Xia

Any supervised machine learning analysis is required to provide an estimate of the out-of-sample predictive performance. However, it is imperative to also provide a quantification of the uncertainty of this performance in the form of a…

Machine Learning · Computer Science 2024-06-13 Konstantinos Paraschakis , Andrea Castellani , Giorgos Borboudakis , Ioannis Tsamardinos

We propose a stochastic model predictive control (MPC) framework for linear systems subject to joint-in-time chance constraints under unknown disturbance distributions. Unlike existing approaches that rely on parametric or Gaussian…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Lukas Vogel , Andrea Carron , Eleftherios E. Vlahakis , Dimos V. Dimarogonas

Safety is a critical concern in learning-enabled autonomous systems especially when deploying these systems in real-world scenarios. An important challenge is accurately quantifying the uncertainty of unknown models to generate provably…

Robotics · Computer Science 2025-03-25 Hao Zhou , Yanze Zhang , Wenhao Luo

Process monitoring and control requires detection of structural changes in a data stream in real time. This article introduces an efficient sequential Monte Carlo algorithm designed for learning unknown changepoints in continuous time. The…

Applications · Statistics 2015-09-29 Melissa J. M. Turcotte , Nicholas A. Heard

We consider the problem of uncertainty quantification for prediction in a time series: if we use past data to forecast the next time point, can we provide valid prediction intervals around our forecasts? To avoid placing distributional…

Machine Learning · Statistics 2026-01-13 Rina Foygel Barber , Ashwin Pananjady
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