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Physics-Informed Neural Networks (PINNs) have emerged as a promising machine learning approach for solving partial differential equations (PDEs). However, PINNs face significant challenges in balancing multi-objective losses, as multiple…

Computational Engineering, Finance, and Science · Computer Science 2025-10-07 Afrah Farea , Saiful Khan , Mustafa Serdar Celebi

Advanced measurement techniques and high performance computing have made large data sets available for a wide range of turbulent flows that arise in engineering applications. Drawing on this abundance of data, dynamical models can be…

Fluid Dynamics · Physics 2020-05-06 Armin Zare , Tryphon T. Georgiou , Mihailo R. Jovanović

Accurate estimation of sea ice drift is critical for Arctic navigation, climate research, and operational forecasting. While optical flow, a computer vision technique for estimating pixel wise motion between consecutive images, has advanced…

Computer Vision and Pattern Recognition · Computer Science 2025-10-31 Daniela Martin , Joseph Gallego

Novel experimental modalities acquire spatially resolved velocity measurements for steady state and transient flows which are of interest for engineering and biological applications. One of the drawbacks of such high resolution velocity…

Numerical Analysis · Mathematics 2015-12-31 H. Egger , T. Seitz , C. Tropea

In the continuum flow regime, the Navier-Stokes equations are usually used for the description of gas dynamics. On the other hand, the Boltzmann equation is applied for the rarefied gas dynamics. Both equations are constructed from modeling…

Fluid Dynamics · Physics 2017-03-08 Kun Xu , Chang Liu

In dense foggy scenes, existing optical flow methods are erroneous. This is due to the degradation caused by dense fog particles that break the optical flow basic assumptions such as brightness and gradient constancy. To address the…

Computer Vision and Pattern Recognition · Computer Science 2020-04-07 Wending Yan , Aashish Sharma , Robby T. Tan

Learning reliable motion representation between consecutive frames, such as optical flow, has proven to have great promotion to video understanding. However, the TV-L1 method, an effective optical flow solver, is time-consuming and…

Computer Vision and Pattern Recognition · Computer Science 2021-03-08 Xiaohang Yang , Lingtong Kong , Jie Yang

Traditional computational fluid dynamics and physics-informed neural networks (PINNs) often suffer from high computational cost, mesh sensitivity, and reduced accuracy for strongly nonlinear and time-dependent flows. To address these…

Fluid Dynamics · Physics 2026-05-21 Biswanath Barman , Debdeep Chatterjee , Rajendra K. Ray

It is a significant problem to predict the 2D LiDAR map at next moment for robotics navigation and path-planning. To tackle this problem, we resort to the motion flow between adjacent maps, as motion flow is a powerful tool to process and…

Robotics · Computer Science 2019-02-20 Yafei Song , Yonghong Tian , Gang Wang , Mingyang Li

Key-point-based scene understanding is fundamental for autonomous driving applications. At the same time, optical flow plays an important role in many vision tasks. However, due to the implicit bias of equal attention on all points, classic…

Computer Vision and Pattern Recognition · Computer Science 2023-09-25 Zhonghua Yi , Hao Shi , Kailun Yang , Qi Jiang , Yaozu Ye , Ze Wang , Huajian Ni , Kaiwei Wang

Statistical surrogate modeling of fluid flows is hard because dynamics are multiscale and highly sensitive to initial conditions. Conditional diffusion surrogates can be accurate, but usually need hundreds of stochastic sampling steps. We…

Machine Learning · Computer Science 2026-02-10 Victor Armegioiu , Yannick Ramic , Siddhartha Mishra

Solving partial differential equations (PDEs) by numerical methods meet computational cost challenge for getting the accurate solution since fine grids and small time steps are required. Machine learning can accelerate this process, but…

Numerical Analysis · Mathematics 2025-01-28 Qi Wang , Yuan Mi , Haoyun Wang , Yi Zhang , Ruizhi Chengze , Hongsheng Liu , Ji-Rong Wen , Hao Sun

Event cameras are bio-inspired sensors that asynchronously report intensity changes in microsecond resolution. DAVIS can capture high dynamics of a scene and simultaneously output high temporal resolution events and low frame-rate intensity…

Computer Vision and Pattern Recognition · Computer Science 2020-04-02 Liyuan Pan , Miaomiao Liu , Richard Hartley

Many technological processes include preparing some special materials adhering to a product surface. For example, this problem is important for the magnetic tape producing, wire adhering, etc. For a surface withdrawn from the molten metal…

Fluid Dynamics · Physics 2018-05-08 Ivan V. Kazachkov

Conventional mathematical models for simulating incompressible fluid flow problems are based on the Navier-Stokes equations expressed in terms of pressure and velocity. In this context, pressure-velocity coupling is a key issue, and…

Mathematical Physics · Physics 2025-06-06 Ricardo Costa , Stéphane Clain , Gaspar J. Machado , João M. Nóbrega

In this article, we present a cut finite element method for two-phase Navier-Stokes flows. The main feature of the method is the formulation of a unified continuous interior penalty stabilisation approach for, on the one hand, stabilising…

Numerical Analysis · Computer Science 2019-05-01 Susanne Claus , Pierre Kerfriden

In many applications, it is important to reconstruct a fluid flow field, or some other high-dimensional state, from limited measurements and limited data. In this work, we propose a shallow neural network-based learning methodology for such…

Learning with neural networks from a continuous stream of visual information presents several challenges due to the non-i.i.d. nature of the data. However, it also offers novel opportunities to develop representations that are consistent…

Computer Vision and Pattern Recognition · Computer Science 2024-09-19 Simone Marullo , Matteo Tiezzi , Marco Gori , Stefano Melacci

Scene flow prediction is a crucial underlying task in understanding dynamic scenes as it offers fundamental motion information. However, contemporary scene flow methods encounter three major challenges. Firstly, flow estimation solely based…

Computer Vision and Pattern Recognition · Computer Science 2024-11-15 Zhiyang Lu , Qinghan Chen , Ming Cheng

We present a novel framework to explore neural control and design of complex fluidic systems with dynamic solid boundaries. Our system features a fast differentiable Navier-Stokes solver with solid-fluid interface handling, a…

Fluid Dynamics · Physics 2024-11-04 Yifei Li , Yuchen Sun , Pingchuan Ma , Eftychios Sifakis , Tao Du , Bo Zhu , Wojciech Matusik
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