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When evaluating quantities of interest that depend on the solutions to differential equations, we inevitably face the trade-off between accuracy and efficiency. Especially for parametrized, time dependent problems in engineering…

Numerical Analysis · Mathematics 2022-12-21 Paolo Conti , Mengwu Guo , Andrea Manzoni , Jan S. Hesthaven

We demonstrate how machine learning is able to model experiments in quantum physics. Quantum entanglement is a cornerstone for upcoming quantum technologies such as quantum computation and quantum cryptography. Of particular interest are…

Machine Learning · Computer Science 2022-07-04 Thomas Adler , Manuel Erhard , Mario Krenn , Johannes Brandstetter , Johannes Kofler , Sepp Hochreiter

The present project aims to use machine learning, specifically neural networks (NN), to learn the trajectories of a set of coupled ordinary differential equations (ODEs) and decrease compute times for obtaining ODE solutions by using this…

Machine Learning · Computer Science 2020-09-18 Camila Faccini de Lima , Juliano Ferrari Gianlupi , John Metzcar , Juliette Zerick

In this paper, we evaluate the use of a trained Long Short-Term Memory (LSTM) network as a surrogate for a Euler-Bernoulli beam model, and then we describe and characterize an FPGA-based deployment of the model for use in real-time…

Hardware Architecture · Computer Science 2023-09-06 Ehsan Kabir , Daniel Coble , Joud N. Satme , Austin R. J. Downey , Jason D. Bakos , David Andrews , Miaoqing Huang

Designing a high-quality plasma injector electron source driven by a laser beam relies on numerical parametric studies using particle-in-cell codes. The common input parameters to explore are laser characteristics, plasma species and…

The need to recognise long-term dependencies in sequential data such as video streams has made Long Short-Term Memory (LSTM) networks a prominent Artificial Intelligence model for many emerging applications. However, the high computational…

Signal Processing · Electrical Eng. & Systems 2019-10-31 Alexandros Kouris , Stylianos I. Venieris , Michail Rizakis , Christos-Savvas Bouganis

While the prediction of AC losses during transients is critical for designing large-scale low-temperature superconducting (LTS) magnets, brute-force finite-element (FE) simulation of their detailed geometry down to the length scale of the…

Modeling second-order ($\chi^{(2)}$) nonlinear optical processes remains computationally expensive due to the need to resolve fast field oscillations and simulate wave propagation using methods like the split-step Fourier method (SSFM).…

Long short-term memory (LSTM) is a kind of recurrent neural networks (RNN) for sequence and temporal dependency data modeling and its effectiveness has been extensively established. In this work, we propose a hybrid quantum-classical model…

Quantum Physics · Physics 2020-09-04 Samuel Yen-Chi Chen , Shinjae Yoo , Yao-Lung L. Fang

Most useful weather prediction for the public is near the surface. The processes that are most relevant for near-surface weather prediction are also those that are most interactive and exhibit positive feedback or have key role in energy…

Machine learning models of accelerator systems (`surrogate models') are able to provide fast, accurate predictions of accelerator physics phenomena. However, approaches to date typically do not include measured input diagnostics, such as…

Accelerator Physics · Physics 2021-04-06 Lipi Gupta , Auralee Edelen , Nicole Neveu , Aashwin Mishra , Christopher Mayes , Young-Kee Kim

We present a framework for automatically structuring and training fast, approximate, deep neural surrogates of stochastic simulators. Unlike traditional approaches to surrogate modeling, our surrogates retain the interpretable structure and…

Modeling the relationship between natural speech and a recorded electroencephalogram (EEG) helps us understand how the brain processes speech and has various applications in neuroscience and brain-computer interfaces. In this context, so…

Audio and Speech Processing · Electrical Eng. & Systems 2020-02-26 Mohammad Jalilpour Monesi , Bernd Accou , Jair Montoya-Martinez , Tom Francart , Hugo Van Hamme

The computational resources required to solve the full 3D inversion of time-domain electromagnetic data are immense. To overcome the time-consuming 3D simulations, we construct a surrogate model, more precisely, a data-driven statistical…

Geophysics · Physics 2024-07-10 Wouter Deleersnyder , David Dudal , Thomas Hermans

In many mechanistic medical, biological, physical and engineered spatiotemporal dynamic models the numerical solution of partial differential equations (PDEs) can make simulations impractically slow. Biological models require the…

Soft Condensed Matter · Physics 2021-02-11 J. Quetzalcóatl Toledo-Marín , Geoffrey Fox , James P. Sluka , James A. Glazier

The mixed quantum-classical dynamical simulation is essential to study nonadiabatic phenomena in photophysics and photochemistry. In recent years, many machine learning models have been developed to accelerate the time evolution of the…

Chemical Physics · Physics 2022-11-08 Diandong Tang , Luyang Jia , Lin Shen , Wei-Hai Fang

Recurrent Neural Networks and in particular Long Short-Term Memory (LSTM) networks have demonstrated state-of-the-art accuracy in several emerging Artificial Intelligence tasks. However, the models are becoming increasingly demanding in…

Computer Vision and Pattern Recognition · Computer Science 2018-01-10 Michalis Rizakis , Stylianos I. Venieris , Alexandros Kouris , Christos-Savvas Bouganis

Recent breakthroughs in recurrent deep neural networks with long short-term memory (LSTM) units has led to major advances in artificial intelligence. State-of-the-art LSTM models with significantly increased complexity and a large number of…

Improving predictive understanding of Earth system variability and change requires data-model integration. Efficient data-model integration for complex models requires surrogate modeling to reduce model evaluation time. However, building a…

Machine Learning · Statistics 2019-01-17 Dan Lu , Daniel Ricciuto

The dominant paradigm for power system dynamic simulation is to build system-level simulations by combining physics-based models of individual components. The sheer size of the system along with the rapid integration of inverter-based…

Systems and Control · Electrical Eng. & Systems 2024-10-24 Matthew Bossart , Jose Daniel Lara , Ciaran Roberts , Rodrigo Henriquez-Auba , Duncan Callaway , Bri-Mathias Hodge
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