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Physics-informed neural networks (PINNs) have emerged as a promising numerical method based on deep learning for modeling boundary value problems, showcasing promising results in various fields. In this work, we use PINNs to discretize…

Computational Physics · Physics 2024-06-10 Michel Nohra , Steven Dufour

Machine learning is playing an increasing role in the physical sciences and significant progress has been made towards embedding domain knowledge into models. Less explored is its use to discover interpretable physical laws from data. We…

Machine Learning · Computer Science 2020-12-18 Saaketh Desai , Alejandro Strachan

Partial differential equation (PDE) simulations are fundamental to engineering and physics but are often computationally prohibitive for real-time applications. While generative AI offers a promising avenue for surrogate modeling, standard…

Fluid Dynamics · Physics 2026-01-30 Onur T. Doganay , Alexander Klawonn , Martin Eigel , Hanno Gottschalk

Despite their widespread success, the application of deep neural networks to functional data remains scarce today. The infinite dimensionality of functional data means standard learning algorithms can be applied only after appropriate…

Machine Learning · Statistics 2021-06-22 Junwen Yao , Jonas Mueller , Jane-Ling Wang

Understanding thermal stress evolution in metal additive manufacturing (AM) is crucial for producing high-quality components. Recent advancements in machine learning (ML) have shown great potential for modeling complex multiphysics problems…

Machine Learning · Computer Science 2024-12-30 R. Sharma , Y. B. Guo

In the analysis of complex physical systems, the objective often extends beyond merely computing a numerical solution to capturing the precise crossover between different regimes and extracting parameters containing meaningful information.…

Machine Learning · Computer Science 2026-01-26 Doyoung Kim , Donghee Lee , Hye-Sung Lee , Jiheon Lee , Jaeok Yi

Inferring transient molecular structural dynamics from diffraction data is an ambiguous task that often requires different approximation methods. In this paper we present an attempt to tackle this problem using machine learning. While most…

Chemical Physics · Physics 2023-08-09 Hazem Daoud , Dhruv Sirohi , Endri Mjeku , John Feng , Saeed Oghbaey , R. J. Dwayne Miller

Accurate and efficient temperature prediction is critical for optimizing the preheating process of PET preforms in industrial microwave systems prior to blow molding. We propose a novel deep learning framework for generalized temperature…

Machine Learning · Computer Science 2025-10-08 Ahmad Alsheikh , Andreas Fischer

Much research in recent years has focused on using empirical machine learning approaches to extract useful insights on the structure-property relationships of superconductor material. Notably, these approaches are bringing extreme benefits…

Data Analysis, Statistics and Probability · Physics 2020-02-13 Thanh Dung Le , Rita Noumeir , Huu Luong Quach , Ji Hyung Kim , Jung Ho Kim , Ho Min Kim

Antiferromagnetic materials are exciting quantum materials with rich physics and great potential for applications. It is highly demanded of the accurate and efficient theoretical method for determining the critical transition temperatures,…

Materials Science · Physics 2022-06-13 Jian-Gang Kong , Qing-Xu Li , Jian Li , Yu Liu , Jia-Ji Zhu

Machine learning has become increasingly popular for efficiently modelling the dynamics of complex physical systems, demonstrating a capability to learn effective models for dynamics which ignore redundant degrees of freedom. Learned…

Machine Learning · Computer Science 2022-11-29 Ameya Daigavane , Arthur Kosmala , Miles Cranmer , Tess Smidt , Shirley Ho

Physics-informed neural networks (PINNs) have emerged as a promising approach to solving partial differential equations (PDEs) using neural networks, particularly in data-scarce scenarios, due to their unsupervised training capability.…

Machine Learning · Computer Science 2025-03-25 Edgar Torres , Jonathan Schiefer , Mathias Niepert

Emerging technologies like hypersonic aircraft, space exploration vehicles, and batteries avail fluid circulation in embedded microvasculatures for efficient thermal regulation. Modeling is vital during these engineered systems' design and…

Numerical Analysis · Mathematics 2023-05-16 N. V. Jagtap , M. K. Mudunuru , K. B. Nakshatrala

Buoyancy-driven heat transfer in closed cavities serves as a canonical testbed for thermal design High-fidelity CFD modelling yields accurate thermal field solutions, yet its reliance on expert-crafted physics models, fine meshes, and…

Computer Vision and Pattern Recognition · Computer Science 2025-09-09 Mohammad Ahangarkiasari , Hassan Pouraria

Based on its great successes in inference and denosing tasks, Dictionary Learning (DL) and its related sparse optimization formulations have garnered a lot of research interest. While most solutions have focused on single layer…

Machine Learning · Computer Science 2021-04-22 Wen Tang , Emilie Chouzenoux , Jean-Christophe Pesquet , Hamid Krim

We proposed a framework for solving inverse problems in differential equations based on neural networks and automatic differentiation. Neural networks are used to approximate hidden fields. We analyze the source of errors in the framework…

Numerical Analysis · Mathematics 2024-12-20 Kailai Xu , Eric Darve

We present a physics-constrained control-oriented deep learning method for modeling building thermal dynamics. The proposed method is based on the systematic encoding of physics-based prior knowledge into a structured recurrent neural…

Machine Learning · Computer Science 2020-11-13 Jan Drgona , Aaron R. Tuor , Vikas Chandan , Draguna L. Vrabie

In medical applications, deep learning methods are built to automate diagnostic tasks. However, a clinically relevant question that practitioners usually face, is how to predict the future trajectory of a disease (prognosis). Current…

Machine Learning · Computer Science 2021-12-08 Huy Hoang Nguyen , Simo Saarakkala , Matthew B. Blaschko , Aleksei Tiulpin

Thermal Energy Storage (TES) using Phase Change Materials (PCMs) represents a critical technology for sustainable energy management and grid stability. This study presents a novel Physics-Driven Deep Learning (PDDL) framework for modeling…

Mathematical Physics · Physics 2025-12-02 Meraj Hassanzadeh , Ehsan Ghaderi , Fatemeh Fatahi , Mohamad Ali Bijarchi

Typical deep learning approaches to modeling high-dimensional data often result in complex models that do not easily reveal a new understanding of the data. Research in the deep learning field is very actively pursuing new methods to…

Machine Learning · Computer Science 2022-05-16 Charles Anderson , Jason Stock , David Anderson