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Modeling complex dynamical systems with only partial knowledge of their physical mechanisms is a crucial problem across all scientific and engineering disciplines. Purely data-driven approaches, which only make use of an artificial neural…

Fluid Dynamics · Physics 2023-10-04 Nilam Tathawadekar , Nguyen Anh Khoa Doan , Camilo F. Silva , Nils Thuerey

Dynamical systems are found in innumerable forms across the physical and biological sciences, yet all these systems fall naturally into universal equivalence classes: conservative or dissipative, stable or unstable, compressible or…

Machine Learning · Computer Science 2023-02-28 Matthew Ricci , Noa Moriel , Zoe Piran , Mor Nitzan

We design a physics-aware auto-encoder to specifically reduce the dimensionality of solutions arising from convection-dominated nonlinear physical systems. Although existing nonlinear manifold learning methods seem to be compelling tools to…

Dynamical Systems · Mathematics 2022-09-15 Rambod Mojgani , Maciej Balajewicz

Learning-based simulators show great potential for simulating particle dynamics when 3D groundtruth is available, but per-particle correspondences are not always accessible. The development of neural rendering presents a new solution to…

Computer Vision and Pattern Recognition · Computer Science 2024-10-14 Jiaxu Wang , Jingkai Sun , Junhao He , Ziyi Zhang , Qiang Zhang , Mingyuan Sun , Renjing Xu

We present a scalable, data-driven simulation framework for large-scale heating, ventilation, and air conditioning (HVAC) systems that couples physics-informed neural ordinary differential equations (PINODEs) with differential-algebraic…

Machine Learning · Computer Science 2026-04-24 Hanfeng Zhai , Hongtao Qiao , Hassan Mansour , Christopher Laughman

Large climate-model ensembles are computationally expensive; yet many downstream analyses would benefit from additional, statistically consistent realizations of spatiotemporal climate variables. We study a generative modeling approach for…

Machine Learning · Computer Science 2026-01-06 Jacquelyn Shelton , Przemyslaw Polewski , Alexander Robel , Matthew Hoffman , Stephen Price

In order to better understand micromechanical phenomena such as viscoelasticity and plasticity, the thermomechanical viewpoint is of prime importance but requires calorimetric measurements to be performed during a deformation process.…

Optimization and Control · Mathematics 2017-04-24 Jing Ye , Laurent Farge , Stéphane André , Alain Neveu

We present a framework for fine-tuning flow-matching generative models to enforce physical constraints and solve inverse problems in scientific systems. Starting from a model trained on low-fidelity or observational data, we apply a…

Machine Learning · Computer Science 2026-01-28 Jan Tauberschmidt , Sophie Fellenz , Sebastian J. Vollmer , Andrew B. Duncan

This work presents ViGeo, a feed-forward foundation model for recovering spatially dense and temporally consistent geometry from video sequences. Built upon a plain transformer architecture without task-specific architectural modifications,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-29 Zhu Yu , Jingnan Gao , Runmin Zhang , Lingteng Qiu , Zhengyi Zhao , Rui Peng , Yichao Yan , Kejie Qiu , Siyu Zhu , Si-Yuan Cao , Hui-Liang Shen

Extreme weather is one of the main mechanisms through which climate change will directly impact human society. Coping with such change as a global community requires markedly improved understanding of how global warming drives extreme…

Computational Physics · Physics 2019-09-18 Adam Rupe , Karthik Kashinath , Nalini Kumar , Victor Lee , Prabhat , James P. Crutchfield

Most knowledge distillation (KD) methodologies predominantly focus on teacher-student pairs with similar architectures, such as both being convolutional neural networks (CNNs). However, the potential and flexibility of KD can be greatly…

Computer Vision and Pattern Recognition · Computer Science 2025-07-30 Guopeng Li , Qiang Wang , Ke Yan , Shouhong Ding , Yuan Gao , Gui-Song Xia

We study the homogenization of a steady diffusion equation in a highly heterogeneous medium made of two subregions separated by a periodic barrier through which the flow is proportional to the jump of the temperature by a layer conductance…

Analysis of PDEs · Mathematics 2008-11-08 Abdelhamid Ainouz

Deep generative models such as flow matching and diffusion models have shown great potential in learning complex distributions and dynamical systems, but often act as black-boxes, neglecting underlying physics. In contrast, physics-based…

Machine Learning · Computer Science 2026-04-28 Gurjeet Sangra Singh , Frantzeska Lavda , Giangiacomo Mercatali , Alexandros Kalousis

World models learn to predict the temporal evolution of visual observations given a control signal, potentially enabling agents to reason about environments through forward simulation. Because of the focus on forward simulation, current…

Computer Vision and Pattern Recognition · Computer Science 2025-11-24 Yiqing Shen , Aiza Maksutova , Chenjia Li , Mathias Unberath

A simple vibrational model of heat transfer in two-dimensional (2D) fluids relates the heat conductivity coefficient to the longitudinal and transverse sound velocities, specific heat, and the mean interatomic separation. This model is…

Plasma Physics · Physics 2021-01-15 Sergey Khrapak

Horizontally extended plane-layer convection flows are characterized by characteristic patterns of turbulent heat transfer due to the convective fluid motion consisting of a nearly-regular ridge network where hot fluid rises and cold fluid…

Fluid Dynamics · Physics 2025-10-08 Aleksandar Badza , Gary Froyland , Roshan J. Samuel , Jörg Schumacher

The permeability of complex porous materials can be obtained via direct flow simulation, which provides the most accurate results, but is very computationally expensive. In particular, the simulation convergence time scales poorly as…

Traditional fluid dynamics simulation pipelines combine numerical solvers with rendering, producing highly realistic results but at considerable computational cost. Diffusion-based generative video models offer a faster alternative, yet…

Graphics · Computer Science 2026-03-18 Yang Bai , George Eskandar , Ziyuan Liu , Gitta Kutyniok

Simulation of transport properties of confined, low-dimensional fluids can be performed efficiently by means of Multi-Particle Collision (MPC) dynamics with suitable thermal-wall boundary conditions. We illustrate the effectiveness of the…

Statistical Mechanics · Physics 2025-03-12 Rongxiang Luo , Stefano Lepri

The high dimensionality and complex dynamics of turbulent flows in urban street canyons present significant challenges for wind and environmental engineering, particularly in addressing air quality, pollutant dispersion, and extreme wind…

Fluid Dynamics · Physics 2025-01-24 Tomek Jaroslawski , Aakash Patil , Beverley McKeon