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The use of deep learning methods for modeling fluid flow has drawn a lot of attention in the past few years. In situations where conventional numerical approaches can be computationally expensive, these techniques have shown promise in…

Injecting greenhouse gas into deep underground reservoirs for permanent storage can inadvertently lead to fault reactivation, caprock fracturing and greenhouse gas leakage when the injection-induced stress exceeds the critical threshold.…

Computational Engineering, Finance, and Science · Computer Science 2024-10-08 Jungang Chen , Eduardo Gildin , Georgy Kompantsev

We present a generative modeling framework for atomistic systems that combines score-based diffusion for atomic positions with a novel continuous-time discrete diffusion process for atomic types. This approach enables flexible and…

Computational Physics · Physics 2025-09-17 Nikolaj Rønne , Bjørk Hammer

Generative models such as denoising diffusion models are quickly advancing their ability to approximate highly complex data distributions. They are also increasingly leveraged in scientific machine learning, where samples from the implied…

Machine Learning · Computer Science 2025-03-14 Jan-Hendrik Bastek , WaiChing Sun , Dennis M. Kochmann

A parametric adaptive greedy Latent Space Dynamics Identification (gLaSDI) framework is developed for accurate, efficient, and certified data-driven physics-informed greedy auto-encoder simulators of high-dimensional nonlinear dynamical…

Machine Learning · Computer Science 2022-11-28 Xiaolong He , Youngsoo Choi , William D. Fries , Jonathan L. Belof , Jiun-Shyan Chen

We introduce Tadpole, a novel foundation model for three-dimensional partial differential equations (PDEs) that addresses key challenges in transferability, scalability to high dimensionality, and multi-functionality. Tadpole is pre-trained…

Machine Learning · Computer Science 2026-05-18 Qiang Liu , Felix Koehler , Benjamin Holzschuh , Nils Thuerey

This technical note describes the FluidFlower concept, a new laboratory infrastructure for geological carbon storage research. The highly controlled and adjustable system produces a strikingly visual physical ground truth of studied…

Integrating physics models within machine learning models holds considerable promise toward learning robust models with improved interpretability and abilities to extrapolate. In this work, we focus on the integration of incomplete physics…

Machine Learning · Computer Science 2021-10-28 Naoya Takeishi , Alexandros Kalousis

This paper introduces novel deep dynamical models designed to represent continuous-time sequences. Our approach employs a neural emission model to generate each data point in the time series through a non-linear transformation of a latent…

Machine Learning · Computer Science 2025-02-06 Sheng Cheng , Deqian Kong , Jianwen Xie , Kookjin Lee , Ying Nian Wu , Yezhou Yang

The data-driven discovery of long-time macroscopic dynamics and thermodynamics of dissipative systems with particle fidelity is hampered by significant obstacles. These include the strong time-scale limitations inherent to particle…

Machine Learning · Computer Science 2025-05-21 Zequn He , Celia Reina

Diffusion-based imitation learning improves Behavioral Cloning (BC) on multi-modal decision-making, but comes at the cost of significantly slower inference due to the recursion in the diffusion process. It urges us to design efficient…

Machine Learning · Computer Science 2024-11-25 Xixi Hu , Bo Liu , Xingchao Liu , Qiang Liu

Low-energy electron diffraction (LEED) is a cornerstone technique for determining surface atomic structures[heldStructureDeterminationLowenergy2025], yet the quantitative analysis of electron diffraction intensity as a function of incident…

Computational Physics · Physics 2026-04-07 Xiankang Tang , Ruiwen Xie , Jan P. Hofmann , Hongbin Zhang

Learning and reasoning about physical phenomena is still a challenge in robotics development, and computational sciences play a capital role in the search for accurate methods able to provide explanations for past events and rigorous…

Computer Vision and Pattern Recognition · Computer Science 2022-09-12 Beatriz Moya , Alberto Badias , David Gonzalez , Francisco Chinesta , Elias Cueto

In this paper, we present a study on how to develop an efficient multiscale simulation strategy for the dynamics of chemically active systems on low-dimensional supports. Such reactions are encountered in a wide variety of situations,…

Computational Physics · Physics 2015-06-04 Giacomo Mazzi , Yannick De Decker , Giovanni Samaey

This paper introduces the full Low-carbon Expansion Generation Optimization (LEGO) model available on Github (https://github.com/wogrin/LEGO). LEGO is a mixed-integer quadratically constrained optimization problem and has been designed to…

Optimization and Control · Mathematics 2022-01-20 Sonja Wogrin , Diego A. Tejada-Arango , Udo Bachhiesl , Benjamin F. Hobbs

Data-driven modeling of dynamical systems is a crucial area of machine learning. In many scenarios, a thorough understanding of the model's behavior becomes essential for practical applications. For instance, understanding the behavior of a…

Machine Learning · Computer Science 2025-04-14 Krzysztof Kacprzyk , Mihaela van der Schaar

Optimizing chemical properties is a challenging task due to the vastness and complexity of chemical space. Here, we present a generative energy-based architecture for implicit chemical property optimization, designed to efficiently generate…

Biomolecules · Quantitative Biology 2025-06-19 Luca Miglior , Lorenzo Simone , Marco Podda , Davide Bacciu

We present a systematic theoretical framework that interprets masked diffusion models (MDMs) as solutions to energy minimization problems in discrete optimal transport. Specifically, we prove that three distinct energy…

Machine Learning · Computer Science 2026-03-24 Sitong Chen , Shen Nie , Jiacheng Sun , Zijin Feng , Zhenguo Li , Ji-Rong Wen , Chongxuan Li

Efficient and stable solution of partial differential equations (PDEs) is central to scientific and engineering applications, yet existing numerical solvers rely heavily on matrix based discretizations, while learning based methods require…

Machine Learning · Computer Science 2026-04-30 Yi Bing , Zheng Ran , Fu Jinyang , Liu Long , Peng Xiang

Learning models of dynamical systems with external inputs, which may be, for example, nonsmooth or piecewise, is crucial for studying complex phenomena and predicting future state evolution, which is essential for applications such as…

Machine Learning · Computer Science 2025-04-16 Zhaoyi Li , Wenjie Mei , Ke Yu , Yang Bai , Shihua Li