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20242026
most citedMD-NOMAD: Mixture density nonlinear manifold decoder for emulating stochastic differential equations and uncertainty propagation

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stat.ML2025

Scalable h-adaptive probabilistic solver for time-independent and time-dependent systems

Akshay Thakur, Sawan Kumar, Matthew Zahr +1

Solving partial differential equations (PDEs) within the framework of probabilistic numerics offers a principled approach to quantifying epistemic uncertainty arising from discreti…

cs.LG2025

Physics- and geometry-aware spatio-spectral graph neural operator for time-independent and time-dependent PDEs

Subhankar Sarkar, Souvik Chakraborty

Solving partial differential equations (PDEs) efficiently and accurately remains a cornerstone challenge in science and engineering, especially for problems involving complex geome…

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…