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A fundamental challenge in physics-informed machine learning (PIML) is the design of robust PIML methods for out-of-distribution (OOD) forecasting tasks. These OOD tasks require learning-to-learn from observations of the same (ODE)…

Machine Learning · Computer Science 2023-03-07 S Chandra Mouli , Muhammad Ashraful Alam , Bruno Ribeiro

Predicting future states in uncertain environments, such as wildfire spread, medical diagnosis, or autonomous driving, requires models that can consider multiple plausible outcomes. While diffusion models can effectively learn such…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Sebastian Gerard , Josephine Sullivan

Wildfires pose a significant threat to ecosystems, wildlife, and human communities, leading to habitat destruction, pollutant emissions, and biodiversity loss. Accurate wildfire risk prediction is crucial for mitigating these impacts and…

Machine Learning · Computer Science 2025-06-17 Zhengsen Xu , Jonathan Li , Sibo Cheng , Xue Rui , Yu Zhao , Hongjie He , Haiyan Guan , Aryan Sharma , Matthew Erxleben , Ryan Chang , Linlin Xu

Estimating parameters of Partial Differential Equations (PDEs) from noisy and indirect measurements often requires solving ill-posed inverse problems. These so called parameter estimation or inverse medium problems arise in a variety of…

Mathematical Software · Computer Science 2016-12-15 Lars Ruthotto , Eran Treister , Eldad Haber

Physics-informed machine learning typically integrates physical priors into the learning process by minimizing a loss function that includes both a data-driven term and a partial differential equation (PDE) regularization. Building on the…

Machine Learning · Statistics 2025-09-23 Nathan Doumèche , Francis Bach , Gérard Biau , Claire Boyer

This paper introduces a novel methodology for solving distributed-order fractional differential equations using a physics-informed machine learning framework. The core of this approach involves extending the support vector regression (SVR)…

Machine Learning · Computer Science 2024-09-06 Alireza Afzal Aghaei

The ability to forecast grass fire spread could be of a great importance for agencies making decisions about prescribed burns. However, the usefulness of the models used for fire-spread predictions is limited by the time required for…

Atmospheric and Oceanic Physics · Physics 2011-12-23 Adam K. Kochanski , S. K. Krueger , M. A. Jenkins , J. Mandel , J. D. Beezley

There has been rapid progress recently on the application of deep networks to the solution of partial differential equations, collectively labelled as Physics Informed Neural Networks (PINNs). In this paper, we develop Physics Informed…

Machine Learning · Computer Science 2019-07-09 Vikas Dwivedi , Balaji Srinivasan

Background. Wildfire research uses ensemble methods to analyze fire behaviors and assess uncertainties. Nonetheless, current research methods are either confined to simple models or complex simulations with limits. Modern computing tools…

Computational Physics · Physics 2024-11-01 Qing Wang , Matthias Ihme , Cenk Gazen , Yi-Fan Chen , John Anderson

This study explores the integration of machine learning (ML) techniques with large eddy simulation (LES) for predicting species mass fraction and flame characteristics in partially premixed turbulent jet flames. The LES simulations,…

Fluid Dynamics · Physics 2025-05-05 Amirali Shateri , Zhiyin Yang , Jianfei Xie

Due to recent climate changes, we have seen more frequent and severe wildfires in the United States. Predicting wildfires is critical for natural disaster prevention and mitigation. Advances in technologies in data processing and…

Machine Learning · Computer Science 2022-09-22 Hyung-Jin Yoon , Petros Voulgaris

The n body problem, fundamental to astrophysics, simulates the motion of n bodies acting under the effect of their own mutual gravitational interactions. Traditional machine learning models that are used for predicting and forecasting…

Machine Learning · Computer Science 2025-12-25 Suriya R S , Prathamesh Dinesh Joshi , Rajat Dandekar , Raj Dandekar , Sreedath Panat

Complex numerical weather prediction models incorporate a variety of physical processes, each described by multiple alternative physical schemes with specific parameters. The selection of the physical schemes and the choice of the…

Numerical Analysis · Computer Science 2018-02-23 Azam Moosavi , Vishwas Rao , Adrian Sandu

Weather forecasting is crucial for public safety, disaster prevention and mitigation, agricultural production, and energy management, with global relevance. Although deep learning has significantly advanced weather prediction, current…

Machine Learning · Computer Science 2025-02-18 Shixuan Li , Wei Yang , Peiyu Zhang , Xiongye Xiao , Defu Cao , Yuehan Qin , Xiaole Zhang , Yue Zhao , Paul Bogdan

Over the past couple of decades, the number of wildfires and area of land burned around the world has been steadily increasing, partly due to climatic changes and global warming. Therefore, there is a high probability that more people will…

This year marks the consolidation of Julia (https://julialang.org/), a programming language designed for scientific computing, as the first stable version (1.0) has been released, in August 2018. Among its main features, expressiveness and…

Instrumentation and Methods for Astrophysics · Physics 2018-12-05 Maurizio Tomasi , Mosè Giordano

Accurate forecasts of fine particulate matter (PM 2.5) from wildfire smoke are crucial to safeguarding cardiopulmonary public health. Existing forecasting systems are trained on sparse and inaccurate ground truths, and do not take…

Computer Vision and Pattern Recognition · Computer Science 2020-09-25 Renhao Wang , Ashutosh Bhudia , Brandon Dos Remedios , Minnie Teng , Raymond Ng

Wildfire is an important system process of the earth that occurs across a wide range of spatial and temporal scales. A variety of methods have been used to predict wildfire phenomena during the past century to better our understanding of…

Applications · Statistics 2013-12-24 S. W. Taylor , Douglas G. Woolford , C. B. Dean , David L. Martell

Investigating the health impacts of wildfire smoke requires data on people's exposure to fine particulate matter (PM$_{2.5}$) across space and time. In recent years, it has become common to use machine learning models to fill gaps in…

Machine learning methods have been shown to be effective for weather forecasting, based on the speed and accuracy compared to traditional numerical models. While early efforts primarily concentrated on deterministic predictions, the field…

Machine Learning · Computer Science 2025-04-11 Erik Larsson , Joel Oskarsson , Tomas Landelius , Fredrik Lindsten
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