Graph Representation of the Magnetic Field Topology in High-Fidelity
Plasma Simulations for Machine Learning Applications
- URL: http://arxiv.org/abs/2307.09469v2
- Date: Wed, 26 Jul 2023 10:03:53 GMT
- Title: Graph Representation of the Magnetic Field Topology in High-Fidelity
Plasma Simulations for Machine Learning Applications
- Authors: Ioanna Bouri, Fanni Franssila, Markku Alho, Giulia Cozzani, Ivan
Zaitsev, Minna Palmroth, Teemu Roos
- Abstract summary: Topological analysis of the magnetic field in simulated plasmas allows the study of various physical phenomena in a wide range of settings.
Magnetic reconnection, a phenomenon related to the dynamics of the magnetic field topology, is difficult to detect and characterize in three dimensions.
We propose a pipeline for scalable data analysis and a graph representation of three magnetic fields.
- Score: 0.7650548154518115
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Topological analysis of the magnetic field in simulated plasmas allows the
study of various physical phenomena in a wide range of settings. One such
application is magnetic reconnection, a phenomenon related to the dynamics of
the magnetic field topology, which is difficult to detect and characterize in
three dimensions. We propose a scalable pipeline for topological data analysis
and spatiotemporal graph representation of three-dimensional magnetic vector
fields. We demonstrate our methods on simulations of the Earth's magnetosphere
produced by Vlasiator, a supercomputer-scale Vlasov theory-based simulation for
near-Earth space. The purpose of this work is to challenge the machine learning
community to explore graph-based machine learning approaches to address a
largely open scientific problem with wide-ranging potential impact.
Related papers
- Surface Flux Transport Modelling using Physics Informed Neural Networks [0.0]
Surface Flux Transport modelling helps us to simulate and analyse the transport and evolution of magnetic flux on the solar surface.
We have developed a novel Physics-Informed Neural Networks (PINNs)-based model to study the evolution of Bipolar Magnetic Regions (BMRs)
The mesh-independent PINNs method can be used to reproduce the observed polar magnetic field with better flux conservation.
arXiv Detail & Related papers (2024-09-03T09:41:07Z) - Generalized Gouy Rotation of Electron Vortex beams in uniform magnetic fields [54.010858975226945]
We study the dynamics of EVBs in magnetic fields using exact solutions of the relativistic paraxial equation in magnetic fields.
We provide a unified description of different regimes under generalized Gouy rotation, linking the Gouy phase to EVB rotation angles.
This work offers new insights into the dynamics of EVBs in magnetic fields and suggests practical applications in beam manipulation and beam optics of vortex particles.
arXiv Detail & Related papers (2024-07-03T03:29:56Z) - Latent Intuitive Physics: Learning to Transfer Hidden Physics from A 3D Video [58.043569985784806]
We introduce latent intuitive physics, a transfer learning framework for physics simulation.
It can infer hidden properties of fluids from a single 3D video and simulate the observed fluid in novel scenes.
We validate our model in three ways: (i) novel scene simulation with the learned visual-world physics, (ii) future prediction of the observed fluid dynamics, and (iii) supervised particle simulation.
arXiv Detail & Related papers (2024-06-18T16:37:44Z) - Spherinator and HiPSter: Representation Learning for Unbiased Knowledge Discovery from Simulations [0.0]
We describe a new, unbiased, and machine learning based approach to obtain useful scientific insights from a broad range of simulations.
Our concept is based on applying nonlinear dimensionality reduction to learn compact representations of the data in a low-dimensional space.
We present a prototype using a rotational invariant hyperspherical variational convolutional autoencoder, utilizing a power distribution in the latent space, and trained on galaxies from IllustrisTNG simulation.
arXiv Detail & Related papers (2024-06-06T07:34:58Z) - Unveiling Exotic Magnetic Phases in Fibonacci Quasicrystalline Stacking
of Ferromagnetic Layers through Machine Learning [0.0]
We study a Fibonacci quasicrystalline stacking of ferromagnetic layers, potentially realizable using van der Waals magnetic materials.
We construct a model of this magnetic heterostructure, that displays a complex relationship between geometric frustration and magnetic order in this quasicrystalline system.
We employ a machine learning approach, which proves to be a powerful tool in revealing the complex magnetic behavior of this system.
arXiv Detail & Related papers (2023-07-29T19:03:12Z) - Symmetry-Informed Geometric Representation for Molecules, Proteins, and
Crystalline Materials [66.14337835284628]
We propose a platform, coined Geom3D, which enables benchmarking the effectiveness of geometric strategies.
Geom3D contains 16 advanced symmetry-informed geometric representation models and 14 geometric pretraining methods over 46 diverse datasets.
arXiv Detail & Related papers (2023-06-15T05:37:25Z) - Spreading of a local excitation in a Quantum Hierarchical Model [62.997667081978825]
We study the dynamics of the quantum Dyson hierarchical model in its paramagnetic phase.
An initial state made by a local excitation of the paramagnetic ground state is considered.
A localization mechanism is found and the excitation remains close to its initial position at arbitrary times.
arXiv Detail & Related papers (2022-07-14T10:05:20Z) - Self-Supervised Graph Representation Learning for Neuronal Morphologies [75.38832711445421]
We present GraphDINO, a data-driven approach to learn low-dimensional representations of 3D neuronal morphologies from unlabeled datasets.
We show, in two different species and across multiple brain areas, that this method yields morphological cell type clusterings on par with manual feature-based classification by experts.
Our method could potentially enable data-driven discovery of novel morphological features and cell types in large-scale datasets.
arXiv Detail & Related papers (2021-12-23T12:17:47Z) - Predictive Geological Mapping with Convolution Neural Network Using
Statistical Data Augmentation on a 3D Model [0.0]
We develop a data augmentation workflow that uses a 3D geological and magnetic susceptibility model as input.
A Gated Shape Convolutional Neural Network algorithm was trained on a generated synthetic dataset to perform geological mapping.
The validation conducted on a portion of the synthetic dataset and data from adjacent areas shows that the methodology is suitable to segment the surficial geology.
arXiv Detail & Related papers (2021-10-27T13:56:40Z) - Physics informed neural networks for continuum micromechanics [68.8204255655161]
Recently, physics informed neural networks have successfully been applied to a broad variety of problems in applied mathematics and engineering.
Due to the global approximation, physics informed neural networks have difficulties in displaying localized effects and strong non-linear solutions by optimization.
It is shown, that the domain decomposition approach is able to accurately resolve nonlinear stress, displacement and energy fields in heterogeneous microstructures obtained from real-world $mu$CT-scans.
arXiv Detail & Related papers (2021-10-14T14:05:19Z) - Learning 3D Granular Flow Simulations [6.308272531414633]
We present a Graph Neural Networks approach towards accurate modeling of complex 3D granular flow simulation processes created by the discrete element method LIGGGHTS.
We discuss how to implement Graph Neural Networks that deal with 3D objects, boundary conditions, particle - particle, and particle - boundary interactions.
arXiv Detail & Related papers (2021-05-04T17:27:59Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.