3 papers
stat.ML2025
A Bayesian Approach for Discovering Time- Delayed Differential Equation from Data
Debangshu Chowdhury, Souvik Chakraborty
Time-delayed differential equations (TDDEs) are widely used to model complex dynamic systems where future states depend on past states with a delay. However, inferring the underlyi…
stat.ML2024
Towards Gaussian Process for operator learning: an uncertainty aware resolution independent operator learning algorithm for computational mechanics
Sawan Kumar, Rajdip Nayek, Souvik Chakraborty
The growing demand for accurate, efficient, and scalable solutions in computational mechanics highlights the need for advanced operator learning algorithms that can efficiently han…
cs.LG2024
Spatio-spectral graph neural operator for solving computational mechanics problems on irregular domain and unstructured grid
Subhankar Sarkar, Souvik Chakraborty
Scientific machine learning has seen significant progress with the emergence of operator learning. However, existing methods encounter difficulties when applied to problems on unst…