Dr. Vikas
Dwivedi

@article{dwivedi2026kapilm,
  title = {KAPI-LM: Kernel-Adaptive Physics-Informed Learning Machines for PDEs},
  author = {V. Dwivedi and B. Srinivasan and M. Sigovan and B. Sixou},
  year = {2026},
  note = {Neural Networks, 206, 109740},
  doi = {10.1016/j.neunet.2026.109740}
}

@article{dwivedi2026metaspinn,
  title = {Meta-SPINN: Meta-learned basis adaptation for parametric PDEs},
  author = {V. Dwivedi and M. Sigovan and B. Sixou},
  year = {2026},
  note = {Machine Learning: Science and Technology, 7(4), 045060},
  doi = {10.1088/2632-2153/ae94e2}
}

@article{dwivedi2026gated,
  title = {Gated X-TFC: Soft domain decomposition for forward and inverse problems in sharp-gradient PDEs},
  author = {V. Dwivedi and E. Schiassi and B. Sixou and M. Sigovan},
  year = {2026},
  note = {Neurocomputing, 676, 133090},
  doi = {10.1016/j.neucom.2026.133090}
}

@article{dwivedi2025curriculum,
  title = {Curriculum learning-driven PIELMs for fluid flow simulations},
  author = {V. Dwivedi and B. Sixou and M. Sigovan},
  year = {2025},
  note = {Neurocomputing, 650, 130924},
  doi = {10.1016/j.neucom.2025.130924}
}

@article{dwivedi2024physics,
  title = {Physics informed contour selection for rapid image segmentation},
  author = {V. Dwivedi and B. Srinivasan and G. Krishnamurthi},
  year = {2024},
  note = {Scientific Reports, 14(1), 6996},
  doi = {10.1038/s41598-024-57281-x}
}

@article{dwivedi2022a,
  title = {A normal equation-based extreme learning machine for solving linear partial differential equations},
  author = {V. Dwivedi and B. Srinivasan},
  year = {2022},
  note = {Journal of Computing and Information Science in Engineering, 22(1), 014502},
  doi = {10.1115/1.4051530}
}

@article{dwivedi2021distributed,
  title = {Distributed learning machines for solving forward and inverse problems in partial differential equations},
  author = {V. Dwivedi and N. Parashar and B. Srinivasan},
  year = {2021},
  note = {Neurocomputing, 420, 299–316},
  doi = {10.1016/j.neucom.2020.09.006}
}

@article{dwivedi2020solution,
  title = {Solution of biharmonic equation in complicated geometries with physics informed extreme learning machine},
  author = {V. Dwivedi and B. Srinivasan},
  year = {2020},
  note = {Journal of Computing and Information Science in Engineering, 20(6), 061004},
  doi = {10.1115/1.4046892}
}

@article{dwivedi2020physics,
  title = {Physics informed extreme learning machine (PIELM) — a rapid method for the numerical solution of partial differential equations},
  author = {V. Dwivedi and B. Srinivasan},
  year = {2020},
  note = {Neurocomputing, 391, 96–118},
  doi = {10.1016/j.neucom.2019.12.099}
}

@article{dwivedi2018prediction,
  title = {Prediction of transition in temporal mixing layer using ILES},
  author = {V. Dwivedi and B. Srinivasan},
  year = {2018},
  note = {International Journal of Advances in Engineering Sciences and Applied Mathematics},
  doi = {10.1007/s12572-018-0218-9}
}

@inproceedings{srinivasan2025towards,
  title = {Towards Sustainable Scientific Machine Learning: Fast and interpretable PDE Solvers via RBF-PIELM},
  author = {A. G. Srinivasan and V. Dwivedi and B. Srinivasan},
  year = {2025},
  note = {Proceedings of the 13th ACM IKDD International Conference on Data Science (CODS ’25), pp. 376–386},
  doi = {10.1145/3799830.3799865}
}

@inproceedings{dwivedi2024global,
  title = {Global Versus Local: Evaluating AlexNet Architectures for Tropical Cyclone Intensity Estimation},
  author = {V. Dwivedi},
  year = {2024},
  note = {International Conference on Pattern Recognition, pp. 409–423},
  doi = {10.1007/978-3-031-78186-5_27}
}

@inproceedings{daniel2026abpielms,
  title = {AB-PIELMs: Adaptive-basis physics-informed extreme learning machines for residual-driven domain decomposition},
  author = {A. Daniel and V. Dwivedi and B. Srinivasan},
  year = {2026},
  booktitle = {AI & PDE: ICLR 2026 Workshop on AI and Partial Differential Equations},
  url = {https://openreview.net/pdf?id=QWbki1SyWm}
}

@inproceedings{dwivedi2026kerneladaptive,
  title = {Kernel-Adaptive Physics-Informed Shallow Meta-Learning for Parametric Linear PDEs},
  author = {V. Dwivedi and M. Sigovan and B. Sixou},
  year = {2026},
  booktitle = {AI & PDE: ICLR 2026 Workshop on AI and Partial Differential Equations},
  url = {https://openreview.net/pdf?id=YyTEEVEVid}
}

@inproceedings{srinivasan2025deepvsshallow,
  title = {Deep vs. Shallow: Benchmarking Physics-Informed Neural Architectures on the Biharmonic Equation},
  author = {Srinivasan, Akshay Govind and Dwivedi, Vikas and Srinivasan, Balaji},
  year = {2025},
  booktitle = {Machine Learning and the Physical Sciences Workshop (ML4PS), NeurIPS 2025},
  url = {https://ml4physicalsciences.github.io/2025/files/NeurIPS_ML4PS_2025_328.pdf}
}

@inproceedings{dwivedi2025curriculumlearning,
  title = {Curriculum-Learning PIELMs for Hemodynamic Flows},
  author = {V. Dwivedi and M. Sigovan and S. Bruno},
  year = {2025},
  note = {OPT 2025: Optimization for Machine Learning},
  url = {https://www.opt-ml.org/papers/2025/paper11.pdf}
}

@inproceedings{dwivedi2025empiricalbayes,
  title = {Empirical-Bayes XTFC for Inverse Parameter Estimation},
  author = {V. Dwivedi and M. Sigovan and S. Bruno},
  year = {2025},
  note = {OPT 2025: Optimization for Machine Learning},
  url = {https://www.opt-ml.org/papers/2025/paper150.pdf}
}