On the eigenvector bias of Fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks
Sifan Wang, Hanwen Wang, Paris Perdikaris
Topics & Concepts
Artificial neural networkFourier transformRegressionEigenvalues and eigenvectorsFeature (linguistics)Scale (ratio)Applied mathematicsMathematicsFourier analysisStatistical physicsArtificial intelligenceComputer scienceAlgorithmMathematical analysisPhysicsStatisticsQuantum mechanicsPhilosophyLinguisticsModel Reduction and Neural NetworksFluid Dynamics and Turbulent FlowsImage and Signal Denoising Methods