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math.NA2026
DiLO: Decoupling Generative Priors and Neural Operators via Diffusion Latent Optimization for Inverse Problems
Haibo Liu, Guang Lin
Diffusion models have emerged as powerful generative priors for solving PDE-constrained inverse problems. Compared with end-to-end approaches that learn inverse mappings from large…
math.NA2025
Generative Prior-Guided Neural Interface Reconstruction for 3D Electrical Impedance Tomography
Haibo Liu, Junqing Chen, Guang Lin
Reconstructing complex 3D interfaces from indirect measurements remains a grand challenge in scientific computing, particularly for ill-posed inverse problems like Electrical Imped…
math.NA2023
Solving Inverse Obstacle Scattering Problem with Latent Surface Representations
Junqing Chen, Bangti Jin, Haibo Liu
We propose a novel iterative numerical method to solve the three-dimensional inverse obstacle scattering problem of recovering the shape of the obstacle from far-field measurements…