no code implementations • 5 Jul 2023 • Yu-Hong Yeung, Ramakrishna Tipireddy, David A. Barajas-Solano, Alexandre M. Tartakovsky
We propose a methodology for improving the accuracy of surrogate models of the observable response of physical systems as a function of the systems' spatially heterogeneous parameter fields with applications to uncertainty quantification and parameter estimation in high-dimensional problems.
1 code implementation • 5 Oct 2022 • Buddhika Nettasinghe, Samrat Chatterjee, Ramakrishna Tipireddy, Mahantesh Halappanavar
Conformal prediction is a widely used method to quantify the uncertainty of a classifier under the assumption of exchangeability (e. g., IID data).
no code implementations • 16 Jun 2021 • Megha Subramanian, Ramakrishna Tipireddy, Samrat Chatterjee
We then test the ability of the neural network models to identify the stable and unstable states on a different Lorenz system that is generated using different initial conditions.
no code implementations • 9 Oct 2020 • Tong Ma, David Alonso Barajas-Solano, Ramakrishna Tipireddy, Alexandre M. Tartakovsky
For observed states, we show that PhI-GPR provides a forecast comparable to the standard data-driven GPR, with both forecasts being significantly more accurate than the autoregressive integrated moving average (ARIMA) forecast.
no code implementations • 9 Oct 2019 • Tong Ma, Renke Huang, David Barajas-Solano, Ramakrishna Tipireddy, Alexandre M. Tartakovsky
We propose a new forecasting method for predicting load demand and generation scheduling.
no code implementations • 2 Apr 2019 • Ramakrishna Tipireddy, Paris Perdikaris, Panos Stinis, Alexandre Tartakovsky
We investigate the use of discrete and continuous versions of physics-informed neural network methods for learning unknown dynamics or constitutive relations of a dynamical system.