most citedData-driven discovery of free-form governing differential equations

32 citations · 40 across the 5 of their papers we have counts for

collaborators

5 papers

cs.LG2020

Data-based Discovery of Governing Equations

Waad Subber, Piyush Pandita, Sayan Ghosh +3

Most common mechanistic models are traditionally presented in mathematical forms to explain a given physical phenomenon. Machine learning algorithms, on the other hand, provide a m…

physics.comp-ph2020

Data-Informed Decomposition for Localized Uncertainty Quantification of Dynamical Systems

Waad Subber, Sayan Ghosh, Piyush Pandita +2

Industrial dynamical systems often exhibit multi-scale response due to material heterogeneities, operation conditions and complex environmental loadings. In such problems, it is th…

stat.ML2020★ 4 cited

Advances in Bayesian Probabilistic Modeling for Industrial Applications

Sayan Ghosh, Piyush Pandita, Steven Atkinson +5

Industrial applications frequently pose a notorious challenge for state-of-the-art methods in the contexts of optimization, designing experiments and modeling unknown physical resp…

cs.CE2019★ 32 cited

Data-driven discovery of free-form governing differential equations

Steven Atkinson, Waad Subber, Liping Wang +3

We present a method of discovering governing differential equations from data without the need to specify a priori the terms to appear in the equation. The input to our method is a…

stat.ML2019★ 4 cited

A Strategy for Adaptive Sampling of Multi-fidelity Gaussian Process to Reduce Predictive Uncertainty

Sayan Ghosh, Jesper Kristensen, Yiming Zhang +2

Multi-fidelity Gaussian process is a common approach to address the extensive computationally demanding algorithms such as optimization, calibration and uncertainty quantification.…