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This paper presents a Bayesian framework for assessing the adequacy of a model without the necessity of explicitly enumerating a specific alternate model. A test statistic is developed for tracking the performance of the model across…

Artificial Intelligence · Computer Science 2013-03-25 Kathryn Blackmond Laskey

Uncertainty analysis in the outcomes of model predictions is a key element in decision-based material design to establish confidence in the models and evaluate the fidelity of models. Uncertainty Propagation (UP) is a technique to determine…

Machine Learning · Computer Science 2023-02-13 Danial Khatamsaz , Vahid Attari , Raymundo Arroyave , Douglas L. Allaire

Rapid development in numerical modelling of materials and the complexity of new models increases quickly together with their computational demands. Despite the growing performance of modern computers and clusters, calibration of such models…

Neural and Evolutionary Computing · Computer Science 2016-03-08 Tomáš Mareš , Eliška Janouchová , Anna Kučerová

The past century has seen a steady increase in the need of estimating and predicting complex systems and making (possibly critical) decisions with limited information. Although computers have made possible the numerical evaluation of…

Statistics Theory · Mathematics 2017-01-13 Houman Owhadi , Clint Scovel

This paper considers the computer model calibration problem and provides a general frequentist solution. Under the proposed framework, the data model is semi-parametric with a nonparametric discrepancy function which accounts for any…

Methodology · Statistics 2015-09-14 Raymond K. W. Wong , Curtis B. Storlie , Thomas C. M. Lee

Machine learning classifiers often produce probabilistic predictions that are critical for accurate and interpretable decision-making in various domains. The quality of these predictions is generally evaluated with proper losses, such as…

Machine Learning · Computer Science 2025-06-26 Eugène Berta , David Holzmüller , Michael I. Jordan , Francis Bach

Modern machine learning models are opaque, and as a result there is a burgeoning academic subfield on methods that explain these models' behavior. However, what is the precise goal of providing such explanations, and how can we demonstrate…

Machine Learning · Computer Science 2022-12-01 Patrick Fernandes , Marcos Treviso , Danish Pruthi , André F. T. Martins , Graham Neubig

Cloud-related parameterizations remain a leading source of uncertainty in climate projections. Although machine learning holds promise for Earth system models (ESMs), many data-driven parameterizations lack interpretability, physical…

Atmospheric and Oceanic Physics · Physics 2025-11-25 Arthur Grundner , Tom Beucler , Julien Savre , Axel Lauer , Manuel Schlund , Veronika Eyring

Recent works have shown that deep neural networks can achieve super-human performance in a wide range of image classification tasks in the medical imaging domain. However, these works have primarily focused on classification accuracy,…

Computer Vision and Pattern Recognition · Computer Science 2020-09-10 Gongbo Liang , Yu Zhang , Xiaoqin Wang , Nathan Jacobs

Online imitation learning is the problem of how best to mimic expert demonstrations, given access to the environment or an accurate simulator. Prior work has shown that in the infinite sample regime, exact moment matching achieves value…

The identification of states and parameters from noisy measurements of a dynamical system is of great practical significance and has received a lot of attention. Classically, this problem is expressed as optimization over a class of models.…

Model Agnostic Meta Learning or MAML has become the standard for few-shot learning as a meta-learning problem. MAML is simple and can be applied to any model, as its name suggests. However, it often suffers from instability and…

Machine Learning · Computer Science 2024-11-04 JuneYoung Park , MinJae Kang

In this article we present very intuitive, easy to follow, yet mathematically rigorous, approach to the so called data fitting process. Rather than minimizing the distance between measured and simulated data points, we prefer to find such…

Data Analysis, Statistics and Probability · Physics 2017-08-07 Marek W. Gutowski

Models of complex dynamical systems like the Earth's climate often involve large numbers of uncertain parameters. Comprehensive exploration of the parameter space is typically prohibitive due to excessive computational costs. Systematic…

Atmospheric and Oceanic Physics · Physics 2026-03-27 Daniel Pals , Sebastian Bathiany , Richard Wood , Joel Kuettel , Niklas Boers

This paper presents a robust adaptive learning Model Predictive Control (MPC) framework for linear systems with parametric uncertainties and additive disturbances performing iterative tasks. The approach refines the parameter estimates…

Systems and Control · Electrical Eng. & Systems 2025-09-04 Hannes Petrenz , Johannes Köhler , Francesco Borrelli

Calibration is an essential prerequisite for the accurate data fusion of LiDAR and camera sensors. Traditional calibration techniques often require specific targets or suitable scenes to obtain reliable 2D-3D correspondences. To tackle the…

Computer Vision and Pattern Recognition · Computer Science 2025-01-29 Shujuan Huang , Chunyu Lin , Yao Zhao

We consider two nonlinear state estimation problems in a setting where an extended Kalman filter receives measurements from two sets of sensors via two channels (2C). In the stochastic-2C problem, the channels drop measurements…

Systems and Control · Electrical Eng. & Systems 2023-12-20 Vicu-Mihalis Maer , Zsofia Lendek , Stefan Pirje , Domagoj Tolic , Antun Djuras , Vicko Prkacin , Ivana Palunko , Lucian Busoniu

Calibration of expensive simulation models involves an emulator based on simulation outputs generated across various parameter settings to replace the actual model. Noisy outputs of stochastic simulation models require many simulation…

Methodology · Statistics 2025-05-08 Özge Sürer

Probabilistic classifiers output a probability distribution on target classes rather than just a class prediction. Besides providing a clear separation of prediction and decision making, the main advantage of probabilistic models is their…

Machine Learning · Computer Science 2019-02-20 Juozas Vaicenavicius , David Widmann , Carl Andersson , Fredrik Lindsten , Jacob Roll , Thomas B. Schön

When faced with a novel scenario, it can be hard to succeed on the first attempt. In these challenging situations, it is important to know how to retry quickly and meaningfully. Retrying behavior can emerge naturally in robots trained on…

Robotics · Computer Science 2024-06-25 Maximilian Du , Alexander Khazatsky , Tobias Gerstenberg , Chelsea Finn
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