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Related papers: DiffLoad: Uncertainty Quantification in Electrical…

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To study the impacts of price responsive demand on the electric power system requires better load models. This paper discusses the modeling of uncertainties in aggregated thermostatically controlled loads using a state queueing (SQ) model.…

Chaotic Dynamics · Physics 2016-11-17 Ning Lu , David P. Chassin , Steve E. Widergren

The success of diffusion probabilistic models in generative tasks, such as text-to-image generation, has motivated the exploration of their application to regression problems commonly encountered in scientific computing and various other…

Machine Learning · Computer Science 2024-08-12 Dule Shu , Amir Barati Farimani

Geologic CO$_2$ storage is an important strategy for reducing greenhouse gas emissions to the atmosphere and mitigating climate change. In this process, coupling between mechanical deformation and fluid flow in fault zones is a key…

Geophysics · Physics 2024-11-14 Hannah Lu , Lluis Salo-Salgado , Youssef M. Marzouk , Ruben Juanes

Because of increasing amounts of intermittent and distributed generators in power systems, many demand response programs have been developed to schedule flexible energy consumption. However, proper benchmarks for comparing these methods are…

Systems and Control · Electrical Eng. & Systems 2021-03-19 Koos van der Linden , Natalia Romero , Mathijs M. de Weerdt

Uncertainty quantification (UQ) is a critical aspect of artificial intelligence (AI) systems, particularly in high-risk domains such as healthcare, autonomous systems, and financial technology, where decision-making processes must account…

Neural network classifiers trained with cross-entropy loss achieve strong predictive accuracy but lack the capability to provide inherent predictive uncertainty estimates, thus requiring external techniques to obtain these estimates. In…

Machine Learning · Statistics 2026-04-08 Courtney Franzen , Farhad Pourkamali-Anaraki

Identifying and disentangling sources of predictive uncertainty is essential for trustworthy supervised learning. We argue that widely used second-order methods that disentangle aleatoric and epistemic uncertainty are fundamentally…

Machine Learning · Computer Science 2026-02-09 Sebastián Jiménez , Mira Jürgens , Willem Waegeman

Semi-supervised learning has emerged as an appealing strategy to train deep models with limited supervision. Most prior literature under this learning paradigm resorts to dual-based architectures, typically composed of a teacher-student…

Computer Vision and Pattern Recognition · Computer Science 2022-03-08 Martin Van Waerebeke , Gregory Lodygensky , Jose Dolz

We present DEF (\textbf{\ul{D}}iffusion-augmented \textbf{\ul{E}}nsemble \textbf{\ul{F}}orecasting), a novel approach for generating initial condition perturbations. Modern approaches to initial condition perturbations are primarily…

Machine Learning · Computer Science 2025-06-10 David Millard , Arielle Carr , Stéphane Gaudreault , Ali Baheri

Calibrated uncertainty estimates in machine learning are crucial to many fields such as autonomous vehicles, medicine, and weather and climate forecasting. While there is extensive literature on uncertainty calibration for classification,…

Machine Learning · Computer Science 2021-03-16 Eric Zelikman , Christopher Healy , Sharon Zhou , Anand Avati

Power systems face increasing challenges in maintaining resource adequacy due to lower operating margins, rising renewable energy uncertainty, and demand variability. Forecasting the probability distribution of peak demand on shorter…

Systems and Control · Electrical Eng. & Systems 2025-10-28 Buyi Yu , Wenyuan Tang

Stochastic simulation has been widely used to analyze the performance of complex stochastic systems and facilitate decision making in those systems. Stochastic simulation is driven by the input model, which is a collection of probability…

Risk Management · Quantitative Finance 2020-02-14 Tianyi Liu , Enlu Zhou

We present a comparative study of different probabilistic forecasting techniques on the task of predicting the electrical load of secondary substations and cabinets located in a low voltage distribution grid, as well as their aggregated…

Machine Learning · Computer Science 2020-04-17 Lorenzo Nespoli , Vasco Medici , Kristijan Lopatichki , Fabrizio Sossan

Modern machine learning methods including deep learning have achieved great success in predictive accuracy for supervised learning tasks, but may still fall short in giving useful estimates of their predictive {\em uncertainty}. Quantifying…

Diffusion model-based approaches have shown promise in data-driven planning, but there are no safety guarantees, thus making it hard to be applied for safety-critical applications. To address these challenges, we propose a new method,…

Machine Learning · Computer Science 2023-06-02 Wei Xiao , Tsun-Hsuan Wang , Chuang Gan , Daniela Rus

We consider the problem of look-ahead economic dispatch (LAED) with uncertain renewable energy generation. The goal of this problem is to minimize the cost of conventional energy generation subject to uncertain operational constraints. The…

Optimization and Control · Mathematics 2021-04-22 Bala Kameshwar Poolla , Ashish R. Hota , Saverio Bolognani , Duncan S. Callaway , Ashish Cherukuri

The quality of probabilistic forecasts is crucial for decision-making under uncertainty. While proper scoring rules incentivize truthful reporting of precise forecasts, they fall short when forecasters face epistemic uncertainty about their…

Machine Learning · Computer Science 2025-07-18 Anurag Singh , Siu Lun Chau , Krikamol Muandet

Most uncertainty quantification (UQ) approaches provide a single scalar value as a measure of model reliability. However, different uncertainty measures could provide complementary information on the prediction confidence. Even measures…

Representing and quantifying uncertainty in physical parameterisations is a central challenge in weather and climate modelling, and approaches are often developed separately for different timescales. Here, we introduce a unified framework…

Atmospheric and Oceanic Physics · Physics 2025-12-01 Laura A. Mansfield , Hannah M. Christensen

Accurate trajectory prediction is crucial for autonomous driving, yet uncertainty in agent behavior and perception noise makes it inherently challenging. While multi-modal trajectory prediction models generate multiple plausible future…

Robotics · Computer Science 2025-03-10 Sajad Marvi , Christoph Rist , Julian Schmidt , Julian Jordan , Abhinav Valada
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