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Multi-fidelity methods are prominently used when cheaply-obtained, but possibly biased and noisy, observations must be effectively combined with limited or expensive true data in order to construct reliable models. This arises in both…

Machine Learning · Statistics 2019-03-19 Kurt Cutajar , Mark Pullin , Andreas Damianou , Neil Lawrence , Javier González

Precise kinematic modeling is critical in calibration and controller design for soft robots, yet remains a challenging issue due to their highly nonlinear and complex behaviors. To tackle the issue, numerous data-driven machine learning…

Robotics · Computer Science 2025-07-11 Zhanhong Jiang , Dylan Shah , Hsin-Jung Yang , Soumik Sarkar

Modeling a high-dimensional Hamiltonian system in reduced dimensions with respect to coarse-grained (CG) variables can greatly reduce computational cost and enable efficient bottom-up prediction of main features of the system for many…

Computational Engineering, Finance, and Science · Computer Science 2021-04-09 Shu Wang , Zhan Ma , Wenxiao Pan

Thermodynamic irreversibility is a fundamental concept in statistical physics, yet its experimental measurement remains challenging, especially for complex systems. We introduce a novel random coarse-graining framework to identify…

Statistical Mechanics · Physics 2025-09-25 Ruicheng Bao , Naruo Ohga , Sosuke Ito

The large time and length scales and, not least, the vast number of particles involved in industrial-scale simulations inflate the computational costs of the Discrete Element Method (DEM) excessively. Coarse grain models can help to lower…

Computational Physics · Physics 2017-05-11 Daniel Queteschiner , Thomas Lichtenegger , Simon Schneiderbauer , Stefan Pirker

As machine learning (ML) models are increasingly deployed in high-stakes domains, trustworthy uncertainty quantification (UQ) is critical for ensuring the safety and reliability of these models. Traditional UQ methods rely on specifying a…

Machine Learning · Statistics 2025-05-14 Abhineet Agarwal , Michael Xiao , Rebecca Barter , Omer Ronen , Boyu Fan , Bin Yu

In recent years fully-parametric fast simulation methods based on generative models have been proposed for a variety of high-energy physics detectors. By their nature, the quality of data-driven models degrades in the regions of the phase…

Machine Learning · Computer Science 2023-03-03 Lucio Anderlini , Constantine Chimpoesh , Nikita Kazeev , Agata Shishigina

Neural networks make accurate predictions but often fail to provide reliable uncertainty estimates, especially under covariate distribution shifts between training and testing. To address this problem, we propose a Bayesian framework for…

Machine Learning · Statistics 2025-12-22 Yuli Slavutsky , David M. Blei

Existing methods for quantifying predictive uncertainty in neural networks are either computationally intractable for large language models or require access to training data that is typically unavailable. We derive a lightweight…

Machine Learning · Computer Science 2026-04-01 Nils Grünefeld , Jes Frellsen , Christian Hardmeier

This work presents a systematic methodology for describing the transient dynamics of coarse-grained molecular systems inferred from all-atom simulated data. We suggest Langevin-type dynamics where the coarse-grained interaction potential…

Numerical Analysis · Mathematics 2023-09-22 G. Baxevani , V. Harmandaris , E. Kalligiannaki , I. Tsantili

We present an information-based uncertainty quantification method for general Markov Random Fields. Markov Random Fields (MRF) are structured, probabilistic graphical models over undirected graphs, and provide a fundamental unifying…

Machine Learning · Statistics 2021-07-20 Panagiota Birmpa , Markos A. Katsoulakis

We propose principled prediction intervals to quantify the uncertainty of a large class of synthetic control predictions (or estimators) in settings with staggered treatment adoption, offering precise non-asymptotic coverage probability…

Econometrics · Economics 2025-02-04 Matias D. Cattaneo , Yingjie Feng , Filippo Palomba , Rocio Titiunik

Despite the increasing demand for safer machine learning practices, the use of Uncertainty Quantification (UQ) methods in production remains limited. This limitation is exacerbated by the challenge of validating UQ methods in absence of UQ…

Machine Learning · Computer Science 2025-03-03 Arthur Pignet , Chiara Regniez , John Klein

Incorporating atomistic and molecular information into models of cellular behaviour is challenging because of a vast separation of spatial and temporal scales between processes happening at the atomic and cellular levels. Multiscale or…

Computational Physics · Physics 2019-08-28 Radek Erban

Standard gradient descent methods yield point estimates with no measure of confidence. This limitation is acute in overparameterized and low-data regimes, where models have many parameters relative to available data and can easily overfit.…

Machine Learning · Computer Science 2025-08-22 Carlos Stein Brito

Motivated by critical challenges and needs from biopharmaceuticals manufacturing, we propose a general metamodel-assisted stochastic simulation uncertainty analysis framework to accelerate the development of a simulation model with modular…

Methodology · Statistics 2022-09-07 Wei Xie , Russell R. Barton , Barry L. Nelson , Keqi Wang

We consider the application of deep generative models in propagating uncertainty through complex physical systems. Specifically, we put forth an implicit variational inference formulation that constrains the generative model output to…

Machine Learning · Statistics 2018-12-11 Yibo Yang , Paris Perdikaris

In context-specific applications such as robotics, telecommunications, and healthcare, artificial intelligence systems often face the challenge of limited training data. This scarcity introduces epistemic uncertainty, i.e., reducible…

Information Theory · Computer Science 2026-03-17 Osvaldo Simeone , Yaniv Romano

We quantify the uncertainty of the L\"ammer model of damage evolution when fitted to (noisy) observations of damage evolution in cyclic fatigue experiments with and without dwell time. We therefore develop a bootstrap method by sampling…

Materials Science · Physics 2024-05-29 Mohamed Saadi , Felix Kölzow , Christian Kontermann , Matthias Oechsner , Hanno Gottschalk

Stochastic simulation models are generative models that mimic complex systems to help with decision-making. The reliability of these models heavily depends on well-calibrated input model parameters. However, in many practical scenarios,…

Methodology · Statistics 2024-11-11 Ziwei Su , Diego Klabjan