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Uncertainty quantification (UQ) in deep learning regression is of wide interest, as it supports critical applications including sequential decision making and risk-sensitive tasks. In heteroskedastic regression, where the uncertainty of the…

Machine Learning · Computer Science 2026-03-03 Mikkel Jordahn , Jonas Vestergaard Jensen , James Harrison , Michael Riis Andersen , Mikkel N. Schmidt

Accurate weather forecasts are essential for supporting a wide range of activities and decision-making processes, as well as mitigating the impacts of adverse weather events. While traditional numerical weather prediction (NWP) remains the…

Machine Learning · Computer Science 2026-02-16 Daniele Zambon , Michele Cattaneo , Ivan Marisca , Jonas Bhend , Daniele Nerini , Cesare Alippi

Deep neural networks are powerful predictors for a variety of tasks. However, they do not capture uncertainty directly. Using neural network ensembles to quantify uncertainty is competitive with approaches based on Bayesian neural networks…

Machine Learning · Computer Science 2022-07-05 Romain Egele , Romit Maulik , Krishnan Raghavan , Bethany Lusch , Isabelle Guyon , Prasanna Balaprakash

Safe deployment of deep neural networks in high-stake real-world applications requires theoretically sound uncertainty quantification. Conformal prediction (CP) is a principled framework for uncertainty quantification of deep models in the…

Machine Learning · Computer Science 2023-03-21 Subhankar Ghosh , Taha Belkhouja , Yan Yan , Janardhan Rao Doppa

Existing work in scientific machine learning (SciML) has shown that data-driven learning of solution operators can provide a fast approximate alternative to classical numerical partial differential equation (PDE) solvers. Of these, Neural…

Machine Learning · Computer Science 2024-06-13 S. Chandra Mouli , Danielle C. Maddix , Shima Alizadeh , Gaurav Gupta , Andrew Stuart , Michael W. Mahoney , Yuyang Wang

Uncertainty quantification is at the core of the reliability and robustness of machine learning. In this paper, we provide a theoretical framework to dissect the uncertainty, especially the \textit{epistemic} component, in deep learning…

Machine Learning · Computer Science 2023-06-21 Ziyi Huang , Henry Lam , Haofeng Zhang

Currently, the issue that concerns the world leaders most is climate change for its effect on agriculture, environment and economies of daily life. So, to combat this, temperature prediction with strong accuracy is vital. So far, the most…

Machine Learning · Computer Science 2023-09-26 Wasiou Jaharabi , MD Ibrahim Al Hossain , Rownak Tahmid , Md. Zuhayer Islam , T. M. Saad Rayhan

Accurate load forecasting is critical for reliable and efficient planning and operation of electric power grids. In this paper, we propose a unifying deep learning framework for load forecasting, which includes time-varying feature…

Machine Learning · Computer Science 2023-05-10 Jing Xiong , Yu Zhang

Weather forecasting is critical for a range of human activities including transportation, agriculture, industry, as well as the safety of the general public. Machine learning models have the potential to transform the complex weather…

The application of large deep learning models in weather forecasting has led to significant advancements in the field, including higher-resolution forecasting and extended prediction periods exemplified by models such as Pangu and Fuxi.…

Machine Learning · Computer Science 2025-02-19 Nian Ran , Peng Xiao , Yue Wang , Wesley Shi , Jianxin Lin , Qi Meng , Richard Allmendinger

Deep neural networks are powerful tools to detect hidden patterns in data and leverage them to make predictions, but they are not designed to understand uncertainty and estimate reliable probabilities. In particular, they tend to be…

Machine Learning · Statistics 2022-11-10 Bat-Sheva Einbinder , Yaniv Romano , Matteo Sesia , Yanfei Zhou

This study presents a hybrid neural network model for short-term (1-6 hours ahead) surface wind speed forecasting, combining Numerical Weather Prediction (NWP) with observational data from ground weather stations. It relies on the MeteoNet…

Atmospheric and Oceanic Physics · Physics 2025-11-21 Roberta Baggio , Killian Pujol , Florian Pantillon , Dominique Lambert , Jean-Baptiste Filippi , Jean-François Muzy

With increasing computational demand, Neural-Network (NN) based models are being developed as pre-trained surrogates for different thermohydraulics phenomena. An area where this approach has shown promise is in developing higher-fidelity…

Fluid Dynamics · Physics 2024-12-13 Cody Grogan , Som Dutta , Mauricio Tano , Somayajulu L. N. Dhulipala , Izabela Gutowska

Despite the massive advancements in large language models (LLMs), they still suffer from producing plausible but incorrect responses. To improve the reliability of LLMs, recent research has focused on uncertainty quantification to predict…

Artificial Intelligence · Computer Science 2025-04-01 Yongjin Yang , Haneul Yoo , Hwaran Lee

The fusion of multiple sensor modalities, especially through deep learning architectures, has been an active area of study. However, an under-explored aspect of such work is whether the methods can be robust to degradations across their…

Computer Vision and Pattern Recognition · Computer Science 2020-03-05 Junjiao Tian , Wesley Cheung , Nathan Glaser , Yen-Cheng Liu , Zsolt Kira

Uncertainty Quantification (UQ) for Natural Language Generation (NLG) is crucial for assessing the performance of Large Language Models (LLMs), as it reveals confidence in predictions, identifies failure modes, and gauges output…

Computation and Language · Computer Science 2025-04-09 Sean Wang , Yicheng Jiang , Yuxin Tang , Lu Cheng , Hanjie Chen

Humans possess a finely tuned sense of uncertainty that helps anticipate potential errors, vital for adaptive behavior and survival. However, the underlying neural mechanisms remain unclear. This study applies moment neural networks (MNNs)…

Biological Physics · Physics 2024-11-22 Hengyuan Ma , Wenlian Lu , Jianfeng Feng

Monitoring changes inside a reservoir in real time is crucial for the success of CO2 injection and long-term storage. Machine learning (ML) is well-suited for real-time CO2 monitoring because of its computational efficiency. However, most…

Geophysics · Physics 2022-12-12 Yanhua Liu , Xitong Zhang , Ilya Tsvankin , Youzuo Lin

This paper introduces a novel and scalable framework for uncertainty estimation and separation with applications in data driven modeling in science and engineering tasks where reliable uncertainty quantification is critical. Leveraging an…

Machine Learning · Computer Science 2024-12-19 Navid Ansari , Hans-Peter Seidel , Vahid Babaei

In this paper we propose a novel approach to realize forecast verification. Specifically, we introduce a strategy for assessing the severity of forecast errors based on the evidence that, on the one hand, a false alarm just anticipating an…

Machine Learning · Computer Science 2021-03-05 Sabrina Guastavino , Michele Piana , Federico Benvenuto
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