Akil Narayan

1. Balanced truncation for model order reduction of linear dynamical\n systems with quadratic outputs
   2017/09/19 by Roland Pulch, Pulch, Roland, Akil Narayan +1 · 5 citations
   Engineering · Mathematics · Physics and Astronomy · #34C20 #65L05 #93B40 #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods for differential equations #Real-time simulation and control systems
2. Adaptive Leja Sparse Grid Constructions for Stochastic Collocation and High-Dimensional Approximation
   2014/01/01 by Akil Narayan, John D. Jakeman · 4 citations
   Computer Science · Decision Sciences · Mathematics · #Mathematical Approximation and Integration #Probabilistic and Robust Engineering Design #Stochastic Gradient Optimization Techniques
3. Multi-Resolution Active Learning of Fourier Neural Operators
   2023/09/29 by Shibo Li, Xin Yu, Li, Shibo +9 · 8 citations
   Computer Science · Materials Science · Physics and Astronomy · #Machine Learning and Algorithms #Machine Learning in Materials Science #Model Reduction and Neural Networks
4. Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Shallow Water Equations
   2020/08/18 by Dihan Dai, Dai, Dihan, Yekaterina Epshteyn +3 · 3 citations
   Decision Sciences · Engineering · Environmental Science · #Probabilistic and Robust Engineering Design #Computational Fluid Dynamics and Aerodynamics #Wind and Air Flow Studies
5. A Bandit-Learning Approach to Multifidelity Approximation
   2022/01/18 by Yiming Xu, Vahid Keshavarzzadeh, Robert M. Kirby +1 · 3 citations
   Computer Science · Decision Sciences · #Advanced Bandit Algorithms Research #Advanced Multi-Objective Optimization Algorithms #Machine Learning and Algorithms
6. Weighted approximate Fekete points: Sampling for least-squares polynomial approximation
   2017/08/03 by Ling Guo, Guo, Ling, Akil Narayan +4 · 2 citations
   Decision Sciences · Engineering · #41A10 #65D10 #Acoustic Wave Phenomena Research #FOS: Mathematics #Numerical Analysis (math.NA) #Optimal Experimental Design Methods #Probabilistic and Robust Engineering Design
7. Model Reduction of Linear Dynamical Systems via Balancing for Bayesian Inference
   2021/11/25 by Elizabeth Qian, Qian, Elizabeth, Jemima M. Tabeart +11 · 3 citations
   Computer Science · Physics and Astronomy · #Adversarial Robustness in Machine Learning #FOS: Electrical engineering #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Systems and Control (eess.SY) #electronic engineering #information engineering
8. TGPT-PINN: Nonlinear model reduction with transformed GPT-PINNs
   2024/03/06 by Yanlai Chen, Chen, Yanlai, Yajie Ji +5 · 3 citations
   Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Speech Recognition and Synthesis
9. Randomized weakly admissible meshes
   2021/01/11 by Yiming Xu, Xu, Yiming, Akil Narayan +1 · 2 citations
   Mathematics · #Computation (stat.CO) #FOS: Computer and information sciences #FOS: Mathematics #Geometry and complex manifolds #Numerical Analysis (math.NA) #Probability (math.PR)
10. Adaptive Density Tracking by Quadrature for Stochastic Differential Equations
    2021/05/17 by Ryleigh A. Moore, Akil Narayan, Moore, Ryleigh A. +1 · 1 citation
    Economics, Econometrics and Finance · Engineering · Mathematics · #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Numerical Analysis (math.NA) #Stochastic processes and financial applications
11. A robust error estimator and a residual-free error indicator for reduced basis methods
    2017/10/24 by Yanlai Chen, Chen, Yanlai, Jiahua Jiang +3 · 1 citation
    Decision Sciences · Engineering · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design
12. Influence of Material Parameter Variability on the Predicted Coronary Artery Biomechanical Environment via Uncertainty Quantification
    2024/01/26 by Caleb C. Berggren, Berggren, Caleb C., David D. Jiang +15 · 1 citation
    Engineering · Medicine · #Cardiovascular Function and Risk Factors #Coronary Interventions and Diagnostics #Elasticity and Material Modeling #FOS: Biological sciences #Tissues and Organs (q-bio.TO)