4.7 Article

PINNeik: Eikonal solution using physics-informed neural networks

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Engineering, Multidisciplinary

SciANN: A Keras/TensorFlow wrapper for scientific computations and physics-informed deep learning using artificial neural networks

Ehsan Haghighat et al.

Summary: SciANN is a Python package for scientific computing and physics-informed deep learning. It utilizes TensorFlow and Keras to build deep neural networks and optimization models, allowing for solving partial differential equations with flexibility in setting complex functional forms.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2021)

Article Computer Science, Interdisciplinary Applications

Accelerating geostatistical modeling using geostatistics-informed machine Learning

Tao Bai et al.

Summary: The study develops a GIML model to improve the efficiency of OK by reducing the number of points required to be estimated, demonstrating its effectiveness in 2D cases and various numbers of training samples in 3D simulations.

COMPUTERS & GEOSCIENCES (2021)

Article Geochemistry & Geophysics

Solving the frequency-domain acoustic VTI wave equation using physics-informed neural networks

Chao Song et al.

Summary: Frequency-domain wavefield solutions for the anisotropic acoustic wave equation can help describe the anisotropic nature of the Earth, but inverting the impedance matrix for such solutions can be computationally expensive. To address this challenge, the study proposes using physics-informed neural networks (PINNs) to obtain wavefield solutions for an acoustic wave equation in transversely isotropic (TI) media with a vertical axis of symmetry (VTI). By utilizing automatic differentiation in PINNs, numerical dispersion artefacts can be avoided, providing more accurate solutions.

GEOPHYSICAL JOURNAL INTERNATIONAL (2021)

Article Geosciences, Multidisciplinary

Physics informed machine learning: Seismic wave equation

Sadegh Karimpouli et al.

GEOSCIENCE FRONTIERS (2020)

Article Multidisciplinary Sciences

Locally adaptive activation functions with slope recovery for deep and physics-informed neural networks

Ameya D. Jagtap et al.

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2020)

Article Computer Science, Interdisciplinary Applications

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

M. Raissi et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2019)

Article Mathematics, Applied

First arrival traveltime tomography using supervised descent learning technique

Rui Guo et al.

INVERSE PROBLEMS (2019)

Article Computer Science, Information Systems

Artificial Neural Network Methods for the Solution of Second Order Boundary Value Problems

Cosmin Anitescu et al.

CMC-COMPUTERS MATERIALS & CONTINUA (2019)

Article Computer Science, Information Systems

Fast Methods for Eikonal Equations: An Experimental Survey

J. V. Gomez et al.

IEEE ACCESS (2019)

Article Computer Science, Interdisciplinary Applications

DGM: A deep learning algorithm for solving partial differential equations

Justin Sirignano et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2018)

Article Multidisciplinary Sciences

Solving high-dimensional partial differential equations using deep learning

Jiequn Han et al.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2018)

Article Computer Science, Software Engineering

The Simple Essence of Automatic Differentiation

Conal Elliott

PROCEEDINGS OF THE ACM ON PROGRAMMING LANGUAGES-PACMPL (2018)

Article Computer Science, Artificial Intelligence

Theory-Guided Data Science: A New Paradigm for Scientific Discovery from Data

Anuj Karpatne et al.

IEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING (2017)

Article Geochemistry & Geophysics

An iterative, fast-sweeping-based eikonal solver for 3D tilted anisotropic media

Umair Bin Waheed et al.

GEOPHYSICS (2015)

Article Geochemistry & Geophysics

Relative location of microseismicity

Vladimir Grechka et al.

GEOPHYSICS (2015)

Article Geosciences, Multidisciplinary

Statistical significance of climate sensitivity predictors obtained by data mining

Peter M. Caldwell et al.

GEOPHYSICAL RESEARCH LETTERS (2014)

Editorial Material Multidisciplinary Sciences

The Parable of Google Flu: Traps in Big Data Analysis

David Lazer et al.

SCIENCE (2014)

Article Geochemistry & Geophysics

Topography-dependent eikonal equation and its solver for calculating first-arrival traveltimes with an irregular surface

Haiqiang Lan et al.

GEOPHYSICAL JOURNAL INTERNATIONAL (2013)

Article Computer Science, Software Engineering

Affine-invariant geodesic geometry of deformable 3D shapes

Dan Raviv et al.

COMPUTERS & GRAPHICS-UK (2011)

Article Education, Scientific Disciplines

From classical to quantum mechanics through optics

Jaume Masoliver et al.

EUROPEAN JOURNAL OF PHYSICS (2010)

Article Computer Science, Interdisciplinary Applications

Fast sweeping method for the factored eikonal equation

Sergey Fomel et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2009)

Article Robotics

Path planning for autonomous underwater vehicles

Clement Petres et al.

IEEE TRANSACTIONS ON ROBOTICS (2007)

Article Mathematics, Applied

Efficient segmentation based on Eikonal and diffusion equations

Christopher Alvino et al.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS (2007)

Article Computer Science, Artificial Intelligence

Registration of medical images using an interpolated closest point transform: method and validation

ZJ Cao et al.

MEDICAL IMAGE ANALYSIS (2004)

Article Geochemistry & Geophysics

3D ray+Born migration/inversion -: Part 1:: Theory

G Lambaré et al.

GEOPHYSICS (2003)

Article Geochemistry & Geophysics

An adaptive finite-difference method for traveltimes and amplitudes

JL Qian et al.

GEOPHYSICS (2002)