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Monte Carlo dropout may effectively capture model uncertainty in deep learning, where a measure of uncertainty is obtained by using multiple instances of dropout at test time. However, Monte Carlo dropout is applied across the whole network…

Signal Processing · Electrical Eng. & Systems 2020-02-03 Liangping Ma , John Kaewell

Most machine learning techniques are based upon statistical learning theory, often simplified for the sake of computing speed. This paper is focused on the uncertainty aspect of mathematical modeling in machine learning. Regression analysis…

Machine Learning · Computer Science 2022-06-07 Valentin Arkov

As deep learning-based computer vision algorithms continue to advance the state of the art, their robustness to real-world data continues to be an issue, making it difficult to bring an algorithm from the lab to the real world.…

Computer Vision and Pattern Recognition · Computer Science 2024-09-10 Michael Smith , Frank Ferrie

In recent years, there have been a surge in applications of neural networks (NNs) in physical sciences. Although various algorithmic advances have been proposed, there are, thus far, limited number of studies that assess the…

Fluid Dynamics · Physics 2020-12-17 Kai Fukami , Romit Maulik , Nesar Ramachandra , Koji Fukagata , Kunihiko Taira

Knowing the uncertainty associated with the output of a deep neural network is of paramount importance in making trustworthy decisions, particularly in high-stakes fields like medical diagnosis and autonomous systems. Monte Carlo Dropout…

Computer Vision and Pattern Recognition · Computer Science 2025-05-22 Hamzeh Asgharnezhad , Afshar Shamsi , Roohallah Alizadehsani , Arash Mohammadi , Hamid Alinejad-Rokny

Over the past decade, wind energy has gained more attention in the world. However, owing to its indirectness and volatility properties, wind power penetration has increased the difficulty and complexity in dispatching and planning of…

Machine Learning · Computer Science 2025-07-08 Onder Eyecioglu , Batuhan Hangun , Korhan Kayisli , Mehmet Yesilbudak

Machine learning models (e.g., neural networks) achieve high accuracy in wind power forecasting, but they are usually regarded as black boxes that lack interpretability. To address this issue, the paper proposes a glass-box approach that…

Machine Learning · Computer Science 2024-02-27 Wenlong Liao , Fernando Porte-Agel , Jiannong Fang , Birgitte Bak-Jensen , Guangchun Ruan , Zhe Yang

In predictive modeling with simulation or machine learning, it is critical to accurately assess the quality of estimated values through output analysis. In recent decades output analysis has become enriched with methods that quantify the…

Methodology · Statistics 2023-10-27 Kimia Vahdat , Sara Shashaani

Uncertainty quantification is crucial for building reliable and trustable machine learning systems. We propose to estimate uncertainty in recurrent neural networks (RNNs) via stochastic discrete state transitions over recurrent timesteps.…

Machine Learning · Computer Science 2020-11-25 Cheng Wang , Carolin Lawrence , Mathias Niepert

As penetration of wind power generation increases, system operators must account for its stochastic nature in a reliable and cost-efficient manner. These conflicting objectives can be traded-off by accounting for the variability and…

Optimization and Control · Mathematics 2015-11-11 Yury Dvorkin , Miles Lubin , Scott Backhaus , Michael Chertkov

The application of neural network models to scientific machine learning tasks has proliferated in recent years. In particular, neural network models have proved to be adept at modeling processes with spatial-temporal complexity.…

Machine Learning · Computer Science 2025-02-04 Jeremiah Hauth , Cosmin Safta , Xun Huan , Ravi G. Patel , Reese E. Jones

Deep neural networks has been increasingly applied in fault diagnostics, where it uses historical data to capture systems behavior, bypassing the need for high-fidelity physical models. However, despite their competence in prediction tasks,…

Machine Learning · Computer Science 2025-09-24 Arman Mohammadi , Mattias Krysander , Daniel Jung , Erik Frisk

Applying probability-related knowledge to accurately explore and exploit the inherent uncertainty of wind power output is one of the key issues that need to be solved urgently in the development of smart grid. This letter develops an…

Systems and Control · Electrical Eng. & Systems 2019-08-19 Libao Shi , Yang Pan , Yixin Ni

Computing systems interacting with real-world processes must safely and reliably process uncertain data. The Monte Carlo method is a popular approach for computing with such uncertain values. This article introduces a framework for…

Despite of its importance for safe machine learning, uncertainty quantification for neural networks is far from being solved. State-of-the-art approaches to estimate neural uncertainties are often hybrid, combining parametric models with…

Machine Learning · Computer Science 2021-12-03 Joachim Sicking , Maram Akila , Maximilian Pintz , Tim Wirtz , Asja Fischer , Stefan Wrobel

Monte Carlo (MC) dropout is one of the state-of-the-art approaches for uncertainty estimation in neural networks (NNs). It has been interpreted as approximately performing Bayesian inference. Based on previous work on the approximation of…

Machine Learning · Computer Science 2020-07-13 Joachim Sicking , Maram Akila , Tim Wirtz , Sebastian Houben , Asja Fischer

In recent years the belief network has been used increasingly to model systems in Al that must perform uncertain inference. The development of efficient algorithms for probabilistic inference in belief networks has been a focus of much…

Artificial Intelligence · Computer Science 2013-03-08 Peter Che , Richard E. Neapolitan , James Kenevan , Martha Evens

Because of the global need to increase power production from renewable energy resources, developments in the online monitoring of the associated infrastructure is of interest to reduce operation and maintenance costs. However, challenges…

Machine Learning · Computer Science 2025-10-29 Simon M. Brealy , Lawrence A. Bull , Pauline Beltrando , Anders Sommer , Nikolaos Dervilis , Keith Worden

The examination of uncertainty in the predictions of machine learning (ML) models is receiving increasing attention. One uncertainty modeling technique used for this purpose is Monte-Carlo (MC)-Dropout, where repeated predictions are…

Computer Vision and Pattern Recognition · Computer Science 2023-05-25 Florian Heidecker , Ahmad El-Khateeb , Bernhard Sick

Popular approaches for quantifying predictive uncertainty in deep neural networks often involve distributions over weights or multiple models, for instance via Markov Chain sampling, ensembling, or Monte Carlo dropout. These techniques…

Machine Learning · Computer Science 2023-03-08 Dennis Ulmer , Christian Hardmeier , Jes Frellsen