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Neural networks have promise as surrogate partial differential equation (PDE) solvers, but it remains a challenge to use these concepts to solve problems with high accuracy and scalability. In this work, we show that neural network…

Computational Physics · Physics 2025-09-05 Chenkai Mao , Jonathan A. Fan

A framework is developed for a robust and highly accurate numerical solution of the coupled Stokes-Darcy system in three dimensions. The domain decomposition method is based on a Dirichlet-Neumann type splitting of the interface conditions…

Numerical Analysis · Mathematics 2022-01-19 Svetlana Tlupova

This paper proposes a hierarchical approximate-factor approach to analyzing high-dimensional, large-scale heterogeneous time series data using distributed computing. The new method employs a multiple-fold dimension reduction procedure using…

Methodology · Statistics 2022-04-20 Zhaoxing Gao , Ruey S. Tsay

The Massively Parallel Computation (MPC) model is an emerging model which distills core aspects of distributed and parallel computation. It has been developed as a tool to solve (typically graph) problems in systems where the input is…

Data Structures and Algorithms · Computer Science 2020-02-20 Artur Czumaj , Peter Davies , Merav Parter

This paper introduces Decoupled Supervised Learning with Information Regularization (DeInfoReg), a novel approach that transforms a long gradient flow into multiple shorter ones, thereby mitigating the vanishing gradient problem.…

Machine Learning · Computer Science 2025-07-16 Zih-Hao Huang , You-Teng Lin , Hung-Hsuan Chen

We propose a novel deep layer cascade (LC) method to improve the accuracy and speed of semantic segmentation. Unlike the conventional model cascade (MC) that is composed of multiple independent models, LC treats a single deep model as a…

Computer Vision and Pattern Recognition · Computer Science 2017-04-06 Xiaoxiao Li , Ziwei Liu , Ping Luo , Chen Change Loy , Xiaoou Tang

We shall derive and propose several efficient overlapping domain decomposition methods for solving some typical linear inverse problems, including the identiffication of the flux, the source strength and the initial temperature in second…

Numerical Analysis · Mathematics 2013-09-10 Jiang Daijun , Feng Hui , Zou Jun

Graph Neural Networks (GNNs) play a crucial role in various fields. However, most existing deep graph learning frameworks assume pre-stored static graphs and do not support training on graph streams. In contrast, many real-world graphs are…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-01 Yuchen Zhong , Guangming Sheng , Tianzuo Qin , Minjie Wang , Quan Gan , Chuan Wu

In GPU-accelerated data analytics, the overhead of data transfer from CPU to GPU becomes a performance bottleneck when the data scales beyond GPU memory capacity due to the limited PCIe bandwidth. Data compression has come to rescue for…

Databases · Computer Science 2026-02-10 Gwangoo Yeo , Zhiyang Shen , Wei Cui , Matteo Interlandi , Rathijit Sen , Bailu Ding , Qi Chen , Minsoo Rhu

We present a novel up-resing technique for generating high-resolution liquids based on scene flow estimation using deep neural networks. Our approach infers and synthesizes small- and large-scale details solely from a low-resolution…

Graphics · Computer Science 2021-12-15 Bruno Roy , Pierre Poulin , Eric Paquette

The fast growing scale and heterogeneity of current communication networks necessitate the design of distributed cross-layer optimization algorithms. So far, the standard approach of distributed cross-layer design is based on dual…

Networking and Internet Architecture · Computer Science 2011-08-11 Jia Liu , Hanif D. Sherali

We use machine learning to perform super-resolution analysis of grossly under-resolved turbulent flow field data to reconstruct the high-resolution flow field. Two machine-learning models are developed; namely the convolutional neural…

Fluid Dynamics · Physics 2019-05-08 Kai Fukami , Koji Fukagata , Kunihiko Taira

3D Gaussian Splatting, known for enabling high-quality static scene reconstruction with fast rendering, is increasingly being applied to multi-view dynamic scene reconstruction. A common strategy involves learning a deformation field to…

Computer Vision and Pattern Recognition · Computer Science 2025-11-26 Han Jiao , Jiakai Sun , Yexing Xu , Lei Zhao , Wei Xing , Huaizhong Lin

Simulating trajectories of dynamical systems is a fundamental problem in a wide range of fields such as molecular dynamics, biochemistry, and pedestrian dynamics. Machine learning has become an invaluable tool for scaling physics-based…

Machine Learning · Computer Science 2026-05-28 Kiet Bennema ten Brinke , Koen Minartz , Vlado Menkovski

In recent years, Graph Neural Networks (GNNs) have achieved remarkable success in many graph mining tasks. However, scaling them to large graphs is challenging due to the high computational and storage costs of repeated feature propagation…

Machine Learning · Computer Science 2025-04-11 Yuxuan Liang , Wentao Zhang , Zeang Sheng , Ling Yang , Quanqing Xu , Jiawei Jiang , Yunhai Tong , Bin Cui

Simulation of physical systems is essential across scientific and engineering domains. Commonly used domain decomposition methods are unable to simultaneously deliver both high simulation rate and high utilization in network computing…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-24 Tomas Oppelstrup , Nicholas Giamblanco , Delyan Z. Kalchev , Ilya Sharapov , Mark Taylor , Dirk Van Essendelft , Sivasankaran Rajamanickam , Michael James

Diffusion models and multi-scale features are essential components in semantic segmentation tasks that deal with remote-sensing images. They contribute to improved segmentation boundaries and offer significant contextual information.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-25 Qi Zhang , Guohua Geng , Longquan Yan , Pengbo Zhou , Zhaodi Li , Kang Li , Qinglin Liu

Surrogate neural network-based partial differential equation (PDE) solvers have the potential to solve PDEs in an accelerated manner, but they are largely limited to systems featuring fixed domain sizes, geometric layouts, and boundary…

Machine Learning · Computer Science 2025-01-10 Chenkai Mao , Robert Lupoiu , Tianxiang Dai , Mingkun Chen , Jonathan A. Fan

In this work, an efficient physics-constrained deep learning model is developed for solving multiphase flow in 3D heterogeneous porous media. The model fully leverages the spatial topology predictive capability of convolutional neural…

Geophysics · Physics 2021-05-21 Bicheng Yan , Dylan Robert Harp , Bailian Chen , Rajesh Pawar

The computational cost of parametric studies currently represents the major limitation to the application of simulation-based engineering techniques in a daily industrial environment. This work presents the first nonintrusive implementation…

Numerical Analysis · Mathematics 2020-02-05 Vasileios Tsiolakis , Matteo Giacomini , Ruben Sevilla , Carsten Othmer , Antonio Huerta
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