Publications
Research publications in machine learning, numerical analysis, and computational mathematics.
2026
- SISCScalable Fixed-Point Framework for High-Dimensional Hamilton-Jacobi EquationsSIAM Scientific Computing, 2026
- IJCVNeural Shortest Path for Surface Reconstruction from Point CloudsInternational Journal of Computer Vision, 2026
- SINUMLocalized Estimation of Condition Numbers for MILU Preconditioners on a GraphSIAM Journal on Numerical Analysis, 2026
- ICLRNeural Hamilton–Jacobi Characteristic Flows for Optimal TransportIn International Conference on Learning Representations, 2026
- PreprintImplicit Neural Optimal Transport via Fixed-Point OptimizationarXiv preprint arXiv:2605.10792, 2026
- PreprintSymPlex: A Structure-Aware Transformer for Symbolic PDE SolvingarXiv preprint arXiv:2602.03816, 2026
2025
- SISCNeural Implicit Solution Formula for Efficiently Solving Hamilton–Jacobi EquationsSIAM Journal on Scientific Computing, 2025
- PreprintDynamical Implicit Neural RepresentationsarXiv preprint arXiv:2511.21787, 2025
- PreprintDeep Learning with Viscosity-Reduction Variational Approach for Anisotropic Eikonal EquationsAvailable at SSRN 5252237, 2025
2024
- NeurIPSHow does PDE order affect the convergence of PINNs?Advances in Neural Information Processing Systems, 2024
- JCPReSDF: Redistancing implicit surfaces using neural networksJournal of Computational Physics, 2024
- JCPAnalysis of efficient preconditioner for solving Poisson equation with Dirichlet boundary condition in irregular three-dimensional domainsJournal of Computational Physics, 2024
- PreprintBeyond derivative pathology of pinns: Variable splitting strategy with convergence analysisarXiv preprint arXiv:2409.20383, 2024
2023
- NeurIPSp -Poisson surface reconstruction in curl-free flow from point cloudsAdvances in Neural Information Processing Systems, 2023
- ICMLRestoration based generative modelsarXiv preprint arXiv:2303.05456, 2023
2022
- JCPSolving incompressible Navier–Stokes equations on irregular domains and quadtrees by monolithic approachJournal of Computational Physics, 2022
2018
- JCPAn efficient MILU preconditioning for solving the 2D Poisson equation with Neumann boundary conditionJournal of Computational Physics, 2018