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Traditional 2D hydraulic models face significant computational challenges that limit their applications that are time-sensitive or require many model evaluations. This study presents a physics-informed Deep Operator Network (DeepONet)…

流体动力学 · 物理学 2026-01-14 Xiaofeng Liu , Yong G. Lai

Deep Operator Networks (DeepONets) and their physics-informed variants have shown significant promise in learning mappings between function spaces of partial differential equations, enhancing the generalization of traditional neural…

机器学习 · 计算机科学 2025-01-08 Milad Ramezankhani , Anirudh Deodhar , Rishi Yash Parekh , Dagnachew Birru

Modern power systems require fast and accurate dynamic simulations for stability assessment, digital twins, and real-time control, but classical ODE solvers are often too slow for large-scale or online applications. We propose a…

系统与控制 · 电气工程与系统科学 2025-11-10 Ioannis Karampinis , Petros Ellinas , Johanna Vorwerk , Spyros Chatzivasileiadis

In the pursuit of accurate experimental and computational data while minimizing effort, there is a constant need for high-fidelity results. However, achieving such results often requires significant computational resources. To address this…

机器学习 · 计算机科学 2023-11-08 Amirhossein Mollaali , Izzet Sahin , Iqrar Raza , Christian Moya , Guillermo Paniagua , Guang Lin

Deep Operator Network (DeepONet), a recently introduced deep learning operator network, approximates linear and nonlinear solution operators by taking parametric functions (infinite-dimensional objects) as inputs and mapping them to…

计算工程、金融与科学 · 计算机科学 2023-10-12 Junyan He , Shashank Kushwaha , Jaewan Park , Seid Koric , Diab Abueidda , Iwona Jasiuk

Data-driven models for predicting dynamic responses of linear and nonlinear systems are of great importance due to their wide application from probabilistic analysis to inverse problems such as system identification and damage diagnosis. In…

机器学习 · 计算机科学 2020-12-29 Soheil Sadeghi Eshkevari , Martin Takáč , Shamim N. Pakzad , Majid Jahani

Burn injuries present a significant global health challenge. Among the most severe long-term consequences are contractures, which can lead to functional impairments and disfigurement. Understanding and predicting the evolution of post-burn…

数值分析 · 数学 2024-11-25 Selma Husanovic , Ginger Egberts , Alexander Heinlein , Fred Vermolen

Traditionally, neural networks have been employed to learn the mapping between finite-dimensional Euclidean spaces. However, recent research has opened up new horizons, focusing on the utilization of deep neural networks to learn operators…

机器学习 · 计算机科学 2025-02-18 Somdatta Goswami , Dimitris G. Giovanis , Bowei Li , Seymour M. J. Spence , Michael D. Shields

Ground settlement prediction during the process of mechanized tunneling is of paramount importance and remains a challenging research topic. Typically, two paradigms are existing: a physics-driven approach utilizing process-oriented…

计算工程、金融与科学 · 计算机科学 2025-08-07 Chen Xu , Ba Trung Cao , Yong Yuan , Günther Meschke

Deep Operator Networks (DeepONets) have recently emerged as powerful data-driven frameworks for learning nonlinear operators, particularly suited for approximating solutions to partial differential equations. Despite their promising…

机器学习 · 计算机科学 2026-04-21 Arth Sojitra , Mrigank Dhingra , Omer San

Deep operator network (DeepONet) has shown significant promise as surrogate models for systems governed by partial differential equations (PDEs), enabling accurate mappings between infinite-dimensional function spaces. However, when applied…

机器学习 · 计算机科学 2025-10-29 Sharmila Karumuri , Lori Graham-Brady , Somdatta Goswami

This study presents an enhanced multi-fidelity Deep Operator Network (DeepONet) framework for efficient spatio-temporal flow field prediction when high-fidelity data is scarce. Key innovations include: a merge network replacing traditional…

流体动力学 · 物理学 2025-07-18 Sunwoong Yang , Youngkyu Lee , Namwoo Kang

The Deep Operator Network (DeepONet) structure has shown great potential in approximating complex solution operators with low generalization errors. Recently, a sequential DeepONet (S-DeepONet) was proposed to use sequential learning models…

计算工程、金融与科学 · 计算机科学 2024-06-17 Junyan He , Shashank Kushwaha , Jaewan Park , Seid Koric , Diab Abueidda , Iwona Jasiuk

Deep operator networks (DeepONets) represent a powerful class of data-driven methods for operator learning, demonstrating strong approximation capabilities for a wide range of linear and nonlinear operators. They have shown promising…

机器学习 · 计算机科学 2025-03-04 Zhaoxi Jiang , Fei Wang

Scientific applications increasingly demand real-time surrogate models that can capture the behavior of strongly coupled multiphysics systems driven by multiple input functions, such as in thermo-mechanical and electro-thermal processes.…

机器学习 · 计算机科学 2025-07-08 Kazuma Kobayashi , Jaewan Park , Qibang Liu , Seid Koric , Diab Abueidda , Syed Bahauddin Alam

In the design of tensegrity structures, traditional form-finding methods utilize kinematic and static approaches to identify geometric configurations that achieve equilibrium. However, these methods often fall short when applied to actual…

计算工程、金融与科学 · 计算机科学 2024-07-18 Muhao Chen , Jing Qin

Focused ultrasound (FUS) therapy is a promising tool for optimally targeted treatment of spinal cord injuries (SCI), offering submillimeter precision to enhance blood flow at injury sites while minimizing impact on surrounding tissues.…

医学物理 · 物理学 2024-12-23 Avisha Kumar , Xuzhe Zhi , Zan Ahmad , Minglang Yin , Amir Manbachi

Shape optimization is essential in aerospace vehicle design, including reentry systems, and propulsion system components, as it directly influences aerodynamic efficiency, structural integrity, and overall mission success. Rapid and…

机器学习 · 计算机科学 2025-05-27 Ahmad Peyvan , Varun Kumar , George Em Karniadakis

Accurately modeling and inferring solutions to time-dependent partial differential equations (PDEs) over extended horizons remains a core challenge in scientific machine learning. Traditional full rollout (FR) methods, which predict entire…

机器学习 · 计算机科学 2026-03-18 Luis Mandl , Dibyajyoti Nayak , Tim Ricken , Somdatta Goswami

Traditional numerical schemes for simulating fluid flow and transport in porous media can be computationally expensive. Advances in machine learning for scientific computing have the potential to help speed up the simulation time in many…

计算物理 · 物理学 2023-07-06 Waleed Diab , Omar Chaabi , Shayma Alkobaisi , Abeeb Awotunde , Mohammed Al Kobaisi