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While conformal predictors reap the benefits of rigorous statistical guarantees on their error frequency, the size of their corresponding prediction sets is critical to their practical utility. Unfortunately, there is currently a lack of…

Machine Learning · Statistics 2024-03-12 Guneet S. Dhillon , George Deligiannidis , Tom Rainforth

We propose a robust adaptive Model Predictive Control (MPC) strategy with online set-based estimation for constrained linear systems with unknown parameters and bounded disturbances. A sample-based test applied to predicted trajectories is…

Optimization and Control · Mathematics 2023-03-09 Xiaonan Lu , Mark Cannon

Conformal prediction is a learning framework controlling prediction coverage of prediction sets, which can be built on any learning algorithm for point prediction. This work proposes a learning framework named conformal loss-controlling…

Machine Learning · Computer Science 2024-01-24 Di Wang , Ping Wang , Zhong Ji , Xiaojun Yang , Hongyue Li

In various applications, probabilistic forecasts are required to quantify the inherent uncertainty associated with the forecast. However, numerous modern forecasting methods are still designed to create deterministic forecasts. Transforming…

Machine Learning · Computer Science 2023-02-06 Kaleb Phipps , Benedikt Heidrich , Marian Turowski , Moritz Wittig , Ralf Mikut , Veit Hagenmeyer

The PC algorithm uses conditional independence tests for model selection in graphical modeling with acyclic directed graphs. In Gaussian models, tests of conditional independence are typically based on Pearson correlations, and…

Statistics Theory · Mathematics 2012-07-03 Naftali Harris , Mathias Drton

This article advocates the use of conformal prediction (CP) methods for Gaussian process (GP) interpolation to enhance the calibration of prediction intervals. We begin by illustrating that using a GP model with parameters selected by…

Machine Learning · Computer Science 2024-07-12 Aurélien Pion , Emmanuel Vazquez

We consider the problem of constructing distribution-free prediction sets with finite-sample conditional guarantees. Prior work has shown that it is impossible to provide exact conditional coverage universally in finite samples. Thus, most…

Methodology · Statistics 2024-09-18 Isaac Gibbs , John J. Cherian , Emmanuel J. Candès

An important problem in many domains is to predict how a system will respond to interventions. This task is inherently linked to estimating the system's underlying causal structure. To this end, Invariant Causal Prediction (ICP) (Peters et…

Methodology · Statistics 2018-09-21 Christina Heinze-Deml , Jonas Peters , Nicolai Meinshausen

Prescriptive process monitoring methods seek to improve the performance of a process by selectively triggering interventions at runtime (e.g., offering a discount to a customer) to increase the probability of a desired case outcome (e.g., a…

Machine Learning · Computer Science 2022-12-08 Mahmoud Shoush , Marlon Dumas

Predictions in the form of sets of probability distributions, so-called credal sets, provide a suitable means to represent a learner's epistemic uncertainty. In this paper, we propose a theoretically grounded approach to credal prediction…

Machine Learning · Statistics 2025-12-16 Timo Löhr , Paul Hofman , Felix Mohr , Eyke Hüllermeier

We present Distribution-aware Conformal Prediction (DCP), a unified framework integrating probabilistic predictors like Monte Carlo dropout, deep ensembles, and quantile regression with score-agnostic conformal calibration to produce valid…

Machine Learning · Computer Science 2026-05-27 Daniel Schweizer , Peter Kuhn , Jayant Sharma , Shivali Dubey , Malte von Ramin , Christoph Brockt-Haßauer

Conformal prediction (CP) provides finite-sample, distribution-free marginal coverage, but standard conformal regression intervals can be inefficient under heteroscedasticity and skewness. In particular, popular constructions such as…

Machine Learning · Statistics 2026-03-03 Xiaoyi Su , Zhixin Zhou , Rui Luo

Deep learning models in robotics often output point estimates with poorly calibrated confidences, offering no native mechanism to quantify predictive reliability under novel, noisy, or out-of-distribution inputs. Conformal prediction (CP)…

Robotics · Computer Science 2025-09-29 Divake Kumar , Sina Tayebati , Francesco Migliarba , Ranganath Krishnan , Amit Ranjan Trivedi

This paper presents a unified framework for understanding the methodology and theory behind several different methods in the conformal prediction literature, which includes standard conformal prediction (CP), weighted conformal prediction…

Statistics Theory · Mathematics 2025-12-23 Rina Foygel Barber , Ryan J. Tibshirani

Conformal prediction provides distribution-free prediction sets with guaranteed marginal coverage. However, in split conformal prediction this guarantee is training-conditional only in expectation: across many calibration draws, the average…

Machine Learning · Computer Science 2025-09-22 Petrus H. Zwart

Decision making is often based on Bayesian networks. The building blocks for Bayesian networks are its conditional probability tables (CPTs). These tables are obtained by parameter estimation methods, or they are elicited from subject…

Artificial Intelligence · Computer Science 2015-12-31 Wolfgang Garn , Panos Louvieris

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

Conformal prediction has shown spurring performance in constructing statistically rigorous prediction sets for arbitrary black-box machine learning models, assuming the data is exchangeable. However, even small adversarial perturbations…

Machine Learning · Computer Science 2024-03-19 Mintong Kang , Nezihe Merve Gürel , Linyi Li , Bo Li

Conformal Predictors (CP) are wrappers around ML models, providing error guarantees under weak assumptions on the data distribution. They are suitable for a wide range of problems, from classification and regression to anomaly detection.…

Machine Learning · Computer Science 2021-10-06 Giovanni Cherubin , Konstantinos Chatzikokolakis , Martin Jaggi

Conformal predictive systems allow forecasters to issue predictive distributions for real-valued future outcomes that have out-of-sample calibration guarantees. On a more abstract level, conformal prediction makes use of in-sample…

Methodology · Statistics 2025-03-07 Sam Allen , Georgios Gavrilopoulos , Alexander Henzi , Gian-Reto Kleger , Johanna Ziegel
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