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Increasingly high-stakes decisions are made using neural networks in order to make predictions. Specifically, meteorologists and hedge funds apply these techniques to time series data. When it comes to prediction, there are certain…

Machine Learning · Computer Science 2022-11-14 Levente Foldesi , Matias Valdenegro-Toro

Learning dynamical systems from incomplete or noisy data is inherently ill-posed, as a single observation may correspond to multiple plausible futures. While physics-based ensemble forecasting relies on perturbing initial states to capture…

Machine Learning · Computer Science 2026-02-27 Siddharth Rout , Eldad Haber , Stephane Gaudreault

Visualizing the uncertainty of ensemble simulations is challenging due to the large size and multivariate and temporal features of ensemble data sets. One popular approach to studying the uncertainty of ensembles is analyzing the positional…

Machine Learning · Computer Science 2022-10-25 Mengjiao Han , Tushar M. Athawale , David Pugmire , Chris R. Johnson

Dynamic factor models are often estimated by point-estimation methods, disregarding parameter uncertainty. We propose a method accounting for parameter uncertainty by means of posterior approximation, using variational inference. Our…

Methodology · Statistics 2022-10-14 Erik Spånberg

The interest in using reinforcement learning (RL) controllers in safety-critical applications such as robot navigation around pedestrians motivates the development of additional safety mechanisms. Running RL-enabled systems among uncertain…

Robotics · Computer Science 2023-12-08 Kegan J. Strawn , Nora Ayanian , Lars Lindemann

Optimal prediction approximates the average solution of a large system of ordinary differential equations by a smaller system. We present how optimal prediction can be applied to a typical problem in the field of molecular dynamics, in…

Mathematical Physics · Physics 2008-11-15 Benjamin Seibold

Features in machine learning problems are often time-varying and may be related to outputs in an algebraic or dynamical manner. The dynamic nature of these machine learning problems renders current higher order accelerated gradient descent…

Optimization and Control · Mathematics 2019-05-29 Joseph E. Gaudio , Travis E. Gibson , Anuradha M. Annaswamy , Michael A. Bolender

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

Modern unmanned systems, including aerial, terrestrial, and underwater vehicles, are increasingly utilized in dynamic and unpredictable environments, where the presence of modeling uncertainties necessitates the development of robust and…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Maryam Norouzi , Mingxi Zhou , Chengzhi Yuan

Data-driven models (DDM) based on machine learning and other AI techniques play an important role in the perception of increasingly autonomous systems. Due to the merely implicit definition of their behavior mainly based on the data used…

Software Engineering · Computer Science 2022-06-15 Janek Groß , Rasmus Adler , Michael Kläs , Jan Reich , Lisa Jöckel , Roman Gansch

We study the problem of uncertainty quantification for time series prediction, with the goal of providing easy-to-use algorithms with formal guarantees. The algorithms we present build upon ideas from conformal prediction and control…

Machine Learning · Computer Science 2023-08-01 Anastasios N. Angelopoulos , Emmanuel J. Candes , Ryan J. Tibshirani

Given an unknown dynamical system, what is the minimum number of samples needed for effective learning of its governing laws and accurate prediction of its future evolution behavior, and how to select these critical samples? In this work,…

Machine Learning · Computer Science 2024-01-15 Ce Zhang , Kailiang Wu , Zhihai He

Conformal predictors are machine learning algorithms developed in the 1990's by Gammerman, Vovk, and their research team, to provide set predictions with guaranteed confidence level. Over recent years, they have grown in popularity and have…

Machine Learning · Computer Science 2025-08-12 Anthony Bellotti , Xindi Zhao

Mathematical models are fundamental building blocks in the design of dynamical control systems. As control systems are becoming increasingly complex and networked, approaches for obtaining such models based on first principles reach their…

Machine Learning · Computer Science 2022-07-19 Dominik Baumann , Friedrich Solowjow , Karl H. Johansson , Sebastian Trimpe

Uncertainty estimation bears the potential to make deep learning (DL) systems more reliable. Standard techniques for uncertainty estimation, however, come along with specific combinations of strengths and weaknesses, e.g., with respect to…

Machine Learning · Computer Science 2022-05-02 Joachim Sicking , Maram Akila , Jan David Schneider , Fabian Hüger , Peter Schlicht , Tim Wirtz , Stefan Wrobel

In interactive imitation learning (IL), uncertainty quantification offers a way for the learner (i.e. robot) to contend with distribution shifts encountered during deployment by actively seeking additional feedback from an expert (i.e.…

Robotics · Computer Science 2025-05-01 Michelle Zhao , Reid Simmons , Henny Admoni , Aaditya Ramdas , Andrea Bajcsy

Conformal prediction is a theoretically grounded framework for constructing predictive intervals. We study conformal prediction with missing values in the covariates -- a setting that brings new challenges to uncertainty quantification. We…

Machine Learning · Statistics 2023-06-06 Margaux Zaffran , Aymeric Dieuleveut , Julie Josse , Yaniv Romano

Spatially referenced datasets have become increasingly prevalent across many fields, largely driven by advances in data collection methods such as satellite remote sensing. In many applications, predictions at unobserved locations are…

Computation · Statistics 2026-05-19 Isaac Amouzou , Ben Seiyon Lee

In this work, we study some novel applications of conformal inference techniques to the problem of providing machine learning procedures with more transparent, accurate, and practical performance guarantees. We provide a natural extension…

Machine Learning · Statistics 2020-07-10 Matthew J. Holland

Conformal prediction has emerged as an effective strategy for uncertainty quantification by modifying a model to output sets of labels instead of a single label. These prediction sets come with the guarantee that they contain the true label…

Machine Learning · Computer Science 2025-05-28 Haosen Ge , Hamsa Bastani , Osbert Bastani