4 Physics-based Anomaly Detection Defined on Manifold Space 64
4.1 Chapter Introduction . . . . . . . . . . . . . . . . . . . . . . . . . 64
4.2 Heat Kernel Signature based on Heat Diffusion . . . . . . . . . . . 70
4.3 Anisotropic Gaussian Kernel . . . . . . . . . . . . . . . . . . . . . 72
4.4 Local Anomaly Descriptor (LAD) and Its Algorithm Framework . . 75
4.5 Schrodinger Equation and Wave Function in Quantum Mechanics . 80 ¨
4.6 Fermi Density Descriptor (FDD) and Its Algorithmic Framework . . 82
4.7 Discussion of Theoretical Perspectives . . . . . . . . . . . . . . . . 91
4.8 Experimental Analysis . . . . . . . . . . . . . . . . . . . . . . . . 98
4.9 Chapter Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . 120