Wavefield solutions from machine learned functions constrained by the Helmholtz equation

Engineering

• Helmholtz's Law 100%
• Model Space 66%
• Demonstrates 66%
• Time Domain 33%
• Network Parameter 33%
• Scatterer 33%
• Fundamental Problem 33%
• Deep Neural Network 33%
• Partial Derivative 33%
• Full-Waveform Inversion 33%
• Loss Function 33%

Keyphrases

• Wave Field 100%
• Helmholtz Equation 100%
• Neural Network 44%
• Wave Equation 22%
• Model Space 22%
• Full-waveform Inversion 11%
• Analytical Solution 11%
• Network Parameters 11%
• Marmousi Model 11%
• Seismic Data 11%
• Automatic Differentiation 11%
• Scatterer 11%
• 3D Model 11%
• Model Complexity 11%
• Background Modeling 11%
• Small Networks 11%
• Loss Function 11%
• Partial Derivatives 11%
• Homogeneous Background 11%
• Physical Equation 11%
• Functional Solution 11%
• Fully Connected Deep Neural Networks 11%

Mathematics

• Wavefield 100%
• Helmholtz Equation 100%
• Neural Network 44%
• Wave Equation 22%
• Model Space 22%
• Illuminates 11%
• Automatic Differentiation 11%
• Loss Function 11%
• Random Point 11%
• Number 11%
• Deep Neural Network 11%
• Time Domain 11%
• Partial Derivative 11%