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Multimodal learning robust to missing modality has attracted increasing attention due to its practicality. Existing methods tend to address it by learning a common subspace representation for different modality combinations. However, we…

计算机视觉与模式识别 · 计算机科学 2024-07-08 Shicai Wei , Yang Luo , Yuji Wang , Chunbo Luo

This paper addresses the load restoration problem after power outage events. Our primary proposed methodology is using multi-agent deep reinforcement learning to optimize the load restoration process in distribution systems, modeled as…

系统与控制 · 电气工程与系统科学 2024-01-25 Linh Vu , Tuyen Vu , Thanh-Long Vu , Anurag Srivastava

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

The objective of this paper is to design novel multi-layer neural network architectures for multiscale simulations of flows taking into account the observed data and physical modeling concepts. Our approaches use deep learning concepts…

数值分析 · 数学 2018-06-14 Yating Wang , Siu Wun Cheung , Eric T. Chung , Yalchin Efendiev , Min Wang

Operator learning has emerged as a promising tool for accelerating the solution of partial differential equations (PDEs). The Deep Operator Networks (DeepONets) represent a pioneering framework in this area: the "vanilla" DeepONet is valued…

机器学习 · 计算机科学 2025-09-03 Zhi-Feng Wei , Wenqian Chen , Panos Stinis

Reconstructing high-fidelity fluid flow fields from sparse sensor measurements is vital for many science and engineering applications but remains challenging because of dimensional disparities between state and observational spaces. Due to…

流体动力学 · 物理学 2025-12-11 Hiep Vo Dang , Phong C. H. Nguyen

Projection-based reduced order models (PROMs) have shown promise in representing the behavior of multiscale systems using a small set of generalized (or latent) variables. Despite their success, PROMs can be susceptible to inaccuracies,…

计算物理 · 物理学 2023-07-05 Shady E. Ahmed , Panos Stinis

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

Deep neural operators, such as DeepONets, have changed the paradigm in high-dimensional nonlinear regression from function regression to (differential) operator regression, paving the way for significant changes in computational engineering…

The accurate estimation of the state of complex uncertain physical systems requires reconciling theoretical models, with inherent imperfections, with noisy experimental data. In this work, we propose an effective hybrid approach that…

机器学习 · 计算机科学 2025-12-16 Stiven Briand Massala , Ludovic Chamoin , Massimo Picca Ciamarra

Neural operator learning models have emerged as very effective surrogates in data-driven methods for partial differential equations (PDEs) across different applications from computational science and engineering. Such operator learning…

机器学习 · 计算机科学 2024-05-30 Benjamin Shih , Ahmad Peyvan , Zhongqiang Zhang , George Em Karniadakis

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

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

Operator regression provides a powerful means of constructing discretization-invariant emulators for partial-differential equations (PDEs) describing physical systems. Neural operators specifically employ deep neural networks to approximate…

机器学习 · 计算机科学 2023-04-18 Katiana Kontolati , Somdatta Goswami , George Em Karniadakis , Michael D. Shields

Traditional survival models often rely on restrictive assumptions such as proportional hazards or instantaneous effects of time-varying covariates on the hazard function, which limit their applicability in real-world settings. We consider…

统计方法学 · 统计学 2025-05-30 Bingqing Hu , Bin Nan

The use of neural operators in a digital twin model of an offshore floating structure can provide a paradigm shift in structural response prediction and health monitoring, providing valuable information for real-time control. In this work,…

大气与海洋物理 · 物理学 2023-12-04 Qianying Cao , Somdatta Goswami , Tapas Tripura , Souvik Chakraborty , George Em Karniadakis

This paper develops a Deep Graph Operator Network (DeepGraphONet) framework that learns to approximate the dynamics of a complex system (e.g. the power grid or traffic) with an underlying sub-graph structure. We build our DeepGraphONet by…

机器学习 · 计算机科学 2022-09-23 Yixuan Sun , Christian Moya , Guang Lin , Meng Yue

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

Self-healing systems depend on following a set of predefined instructions to recover from a known failure state. Failure states are generally detected based on domain specific specialized metrics. Failure fixes are applied at predefined…

分布式、并行与集群计算 · 计算机科学 2024-01-24 Mateo Sanabria , Ivana Dusparic , Nicolas Cardozo

We present a data-driven control framework for partial differential equations (PDEs). Our approach integrates Time-Integrated Deep Operator Networks (TI-DeepONets) as differentiable PDE surrogate models within the Differentiable Predictive…

计算工程、金融与科学 · 计算机科学 2026-04-16 Dibakar Roy Sarkar , Ján Drgoňa , Somdatta Goswami