activity
20142022
most citedA Time-parallel Approach to Strong-constraint Four-dimensional Variational Data Assimilation

25 citations · 58 across the 14 of their papers we have counts for

collaborators

15 papers

cs.LG2022

Learning the Evolution of Correlated Stochastic Power System Dynamics

Tyler E. Maltba, Vishwas Rao, Daniel Adrian Maldonado

A machine learning technique is proposed for quantifying uncertainty in power system dynamics with spatiotemporally correlated stochastic forcing. We learn one-dimensional linear p…

cond-mat.str-el2022★ 13 cited

Order-Disorder Transitions in (CaSr)RhSn

Puspa Upreti, Matthew Krogstad, Charlotte Haley +6

The classification of structural phase transitions as displacive or order-disorder in character is usually based on spectroscopic data above the transition. We use single crystal x…

math.NA2022★ 2 cited

CAMERA: A Method for Cost-aware, Adaptive, Multifidelity, Efficient Reliability Analysis

S. Ashwin Renganathan, Vishwas Rao, Ionel M. Navon

Estimating probability of failure in aerospace systems is a critical requirement for flight certification and qualification. Failure probability estimation involves resolving tails…

math.DS2021

Efficient high-dimensional variational data assimilation with machine-learned reduced-order models

Romit Maulik, Vishwas Rao, Jiali Wang +6

Data assimilation (DA) in the geophysical sciences remains the cornerstone of robust forecasts from numerical models. Indeed, DA plays a crucial role in the quality of numerical we…

math.OC2021★ 5 cited

Trust-region approximation of extreme trajectories in power system dynamics

Daniel Adrian Maldonado, Emil Constantinescu, Hong Zhang +2

In this work we present a novel technique, based on a trust-region optimization algorithm and second-order trajectory sensitivities, to compute the extreme trajectories of power sy…

math.OC2020

Optimization under rare chance constraints

Shanyin Tong, Anirudh Subramanyam, Vishwas Rao

Chance constraints provide a principled framework to mitigate the risk of high-impact extreme events by modifying the controllable properties of a system. The low probability and r…

physics.comp-ph2020★ 1 cited

A Machine-Learning-Based Importance Sampling Method to Compute Rare Event Probabilities

Vishwas Rao, Romit Maulik, Emil Constantinescu +1

We develop a novel computational method for evaluating the extreme excursion probabilities arising from random initialization of nonlinear dynamical systems. The method uses excurs…

math.OC2020

Sequential Bayesian Parameter Estimation of Stochastic Dynamic Load Models

Daniel Adrian Maldonado, Vishwas Rao, Mihai Anitescu +1

In this paper we focus on the parameter estimation of dynamic load models with stochastic terms, in particular, load models where protection settings are uncertain, such as in aggr…

math.NA2020★ 3 cited

Efficient computation of extreme excursion probabilities for dynamical systems

Vishwas Rao, Mihai Anitescu

We develop a novel computational method for evaluating the extreme excursion probabilities arising for random initialization of nonlinear dynamical systems. The method uses a Marko…

cs.LG2019★ 2 cited

Using recurrent neural networks for nonlinear component computation in advection-dominated reduced-order models

Romit Maulik, Vishwas Rao, Sandeep Madireddy +2

Rapid simulations of advection-dominated problems are vital for multiple engineering and geophysical applications. In this paper, we present a long short-term memory neural network…

math.NA2018

Scalable matrix-free adaptive product-convolution approximation for locally translation-invariant operators

Nick Alger, Vishwas Rao, Aaron Myers +2

We present an adaptive grid matrix-free operator approximation scheme based on a "product-convolution" interpolation of convolution operators. This scheme is appropriate for operat…

math.NA2018

A Learning Based Approach for Uncertainty Analysis in Numerical Weather Prediction Models

Azam Moosavi, Vishwas Rao, Adrian Sandu

Complex numerical weather prediction models incorporate a variety of physical processes, each described by multiple alternative physical schemes with specific parameters. The selec…

math.NA2015

A Hybrid Monte-Carlo Sampling Smoother for Four Dimensional Data Assimilation

Ahmed Attia, Vishwas Rao, Adrian Sandu

This paper constructs an ensemble-based sampling smoother for four-dimensional data assimilation using a Hybrid/Hamiltonian Monte-Carlo approach. The smoother samples efficiently f…

math.NA2015★ 25 cited

A Time-parallel Approach to Strong-constraint Four-dimensional Variational Data Assimilation

Vishwas Rao, Adrian Sandu

A parallel-in-time algorithm based on an augmented Lagrangian approach is proposed to solve four-dimensional variational (4D-Var) data assimilation problems. The assimilation windo…

math.NA2014★ 7 cited

A-posteriori error estimates for inverse problems

Vishwas Rao, Adrian Sandu

Inverse problems use physical measurements along with a computational model to estimate the parameters or state of a system of interest. Errors in measurements and uncertainties in…