Search Results for author: Ramakrishna Tipireddy

Found 6 papers, 1 papers with code

Conditional Korhunen-Loéve regression model with Basis Adaptation for high-dimensional problems: uncertainty quantification and inverse modeling

no code implementations5 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.

Uncertainty Quantification

Extending Conformal Prediction to Hidden Markov Models with Exact Validity via de Finetti's Theorem for Markov Chains

1 code implementation5 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).

Conformal Prediction valid

Lorenz System State Stability Identification using Neural Networks

no code implementations16 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.

Decision Making

Physics-Informed Gaussian Process Regression for Probabilistic States Estimation and Forecasting in Power Grids

no code implementations9 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.

GPR regression

A comparative study of physics-informed neural network models for learning unknown dynamics and constitutive relations

no code implementations2 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.

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