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Simulation is a powerful tool to better understand physical systems, but generally requires computationally expensive numerical methods. Downstream applications of such simulations can become computationally infeasible if they require many…

Machine Learning · Computer Science 2024-07-17 Yoeri Poels , Koen Minartz , Harshit Bansal , Vlado Menkovski

The combination of ordinary differential equations and neural networks, i.e., neural ordinary differential equations (Neural ODE), has been widely studied from various angles. However, deciphering the numerical integration in Neural ODE is…

Machine Learning · Computer Science 2022-06-16 Aiqing Zhu , Pengzhan Jin , Beibei Zhu , Yifa Tang

Deep learning has advanced efficient chemical process simulations on the surfaces, accelerating high-throughput materials screening and rational design in heterogeneous catalysis, energy storage and conversion, and gas separation. However,…

Disordered Systems and Neural Networks · Physics 2026-03-12 Zhihao Zhang , Xiao-Ming Cao

High-fidelity quantum dynamics emulators can be used to predict the time evolution of complex physical systems. Here, we introduce an efficient training framework for constructing machine learning-based emulators. Our approach is based on…

Quantum Physics · Physics 2022-03-22 Yu Yao , Chao Cao , Stephan Haas , Mahak Agarwal , Divyam Khanna , Marcin Abram

Neural ordinary differential equations (Neural ODEs) are an effective framework for learning dynamical systems from irregularly sampled time series data. These models provide a continuous-time latent representation of the underlying…

Machine Learning · Computer Science 2023-03-06 Edward De Brouwer , Rahul G. Krishnan

Neural differential equations are a promising new member in the neural network family. They show the potential of differential equations for time series data analysis. In this paper, the strength of the ordinary differential equation (ODE)…

Machine Learning · Computer Science 2020-05-21 Mansura Habiba , Barak A. Pearlmutter

Neural networks have recently been used to analyze diverse physical systems and to identify the underlying dynamics. While existing methods achieve impressive results, they are limited by their strong demand for training data and their weak…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Florian Hofherr , Lukas Koestler , Florian Bernard , Daniel Cremers

Atmospheric retrievals (AR) characterize exoplanets by estimating atmospheric parameters from observed light spectra, typically by framing the task as a Bayesian inference problem. However, traditional approaches such as nested sampling are…

Instrumentation and Methods for Astrophysics · Physics 2023-12-14 Timothy D. Gebhard , Jonas Wildberger , Maximilian Dax , Daniel Angerhausen , Sascha P. Quanz , Bernhard Schölkopf

Increasing the layer number of on-chip photonic neural networks (PNNs) is essential to improve its model performance. However, the successively cascading of network hidden layers results in larger integrated photonic chip areas. To address…

Machine Learning · Computer Science 2023-02-08 Yun Zhao , Hang Chen , Min Lin , Haiou Zhang , Tao Yan , Xing Lin , Ruqi Huang , Qionghai Dai

Simulations of chemical dynamics are a powerful means for understanding chemistry. However, classical computers struggle to simulate many chemical processes, especially non-adiabatic ones, where the Born-Oppenheimer approximation breaks…

Computational astrochemical models are essential for helping us interpret and understand the observations of different astrophysical environments. In the age of high-resolution telescopes such as JWST and ALMA, the substructure of many…

Astrophysics of Galaxies · Physics 2025-06-18 Gijs Vermariën , Thomas G. Bisbas , Serena Viti , Yue Zhao , Xuefei Tang , Rahul Ravichandran

Real-time air pollution monitoring is a valuable tool for public health and environmental surveillance. In recent years, there has been a dramatic increase in air pollution forecasting and monitoring research using artificial neural…

Machine Learning · Computer Science 2022-11-11 Chen Lin , Safoora Yousefi , Elvis Kahoro , Payam Karisani , Donghai Liang , Jeremy Sarnat , Eugene Agichtein

Human health is negatively impacted by poor air quality including increased risk for respiratory and cardiovascular disease. Due to a recent increase in extreme air quality events, both globally and locally in the United States, finer…

Geometry optimization is an important part of both computational materials and surface science because it is the path to finding ground state atomic structures and reaction pathways. These properties are used in the estimation of…

Materials Science · Physics 2021-07-07 Yilin Yang , Omar A. Jimenez-Negron , John R. Kitchin

Scientific discovery and engineering design are currently limited by the time and cost of physical experiments, selected mostly through trial-and-error and intuition that require deep domain expertise. Numerical simulations present an…

Machine Learning · Computer Science 2024-01-08 Kamyar Azizzadenesheli , Nikola Kovachki , Zongyi Li , Miguel Liu-Schiaffini , Jean Kossaifi , Anima Anandkumar

Neural ordinary differential equations describe how values change in time. This is the reason why they gained importance in modeling sequential data, especially when the observations are made at irregular intervals. In this paper we propose…

Machine Learning · Computer Science 2021-10-26 Marin Biloš , Johanna Sommer , Syama Sundar Rangapuram , Tim Januschowski , Stephan Günnemann

Neural-ODE parameterize a differential equation using continuous depth neural network and solve it using numerical ODE-integrator. These models offer a constant memory cost compared to models with discrete sequence of hidden layers in which…

Machine Learning · Computer Science 2025-03-27 Sheikh Waqas Akhtar

We propose the Inverse Neural Operator (INO), a two-stage framework for recovering hidden ODE parameters from sparse, partial observations. In Stage 1, a Conditional Fourier Neural Operator (C-FNO) with cross-attention learns a…

Machine Learning · Computer Science 2026-03-13 Zhi-Song Liu , Wenqing Peng , Helmi Toropainen , Ammar Kheder , Andreas Rupp , Holger Froning , Xiaojie Lin , Michael Boy

Data-driven emulators are increasingly being used to learn and emulate physics-based simulations, reducing computational expense and run time. Here, we present a structured way to improve the quality of these high-dimensional emulated…

Machine Learning · Computer Science 2025-04-25 Nawid Keshtmand , Elena Fillola , Jeffrey Nicholas Clark , Raul Santos-Rodriguez , Matthew Rigby

Temperature is a fundamental regulator of chemical and biochemical kinetics, yet capturing nonlinear thermal effects directly from experimental data remains a major challenge due to limited throughput and model flexibility. Recent advances…

Quantitative Methods · Quantitative Biology 2025-12-23 Mamoru Saita , Yutaka Hori