Stadler, Georg

1. A computational framework for infinite-dimensional Bayesian inverse problems. Part I: The linearized case, with application to global seismic inversion
   2013/08/06 by Tan Bui–Thanh, Omar Ghattas, Bui-Thanh, Tan +5 · 10 citations
   Computer Science · Engineering · Mathematics · #35L05 #35Q62 #35Q93 #35R30 #62F15 #65C60 #Computation (stat.CO) #FOS: Computer and information sciences #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Markov Chains and Monte Carlo Methods #Methodology (stat.ME) #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques
2. A-optimal design of experiments for infinite-dimensional Bayesian linear\n inverse problems with regularized \ℓ₀-sparsification
   2013/08/19 by Alen Alexanderian, Alexanderian, Alen, Noémi Petra +5 · 6 citations
   Computer Science · Decision Sciences · #Advanced Multi-Objective Optimization Algorithms #Gaussian Processes and Bayesian Inference #Optimal Experimental Design Methods
3. A computational framework for infinite-dimensional Bayesian inverse problems: Part II. Stochastic Newton MCMC with application to ice sheet flow inverse problems
   2013/08/28 by Petra, Noemi, Martin, James, Stadler, Georg +1 · 6 citations
   #35Q62 #35Q93 #35R30 #49M15 #62F15 #65C40 #65C60 #86A40 #Computation (stat.CO) #FOS: Computer and information sciences #FOS: Mathematics #Methodology (stat.ME) #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Statistics Theory (math.ST)
4. Comparison of Multigrid Algorithms for High-order Continuous Finite\n Element Discretizations
   2014/02/24 by Hari Sundar, Sundar, Hari, Georg Stadler +3 · 4 citations
   Engineering · #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
5. Mitigating the Influence of the Boundary on PDE-based Covariance Operators
   2016/10/17 by Daon, Yair, Stadler, Georg · 3 citations
   #35R30 #62F15 #65C50 (Primary) 28C20 (Secondary) #FOS: Computer and information sciences #Methodology (stat.ME)
6. Single-stage gradient-based stellarator coil design: Optimization for near-axis quasi-symmetry
   2020/10/01 by Giuliani, Andrew, Wechsung, Florian, Cerfon, Antoine +2 · 3 citations
   #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Plasma Physics (physics.plasm-ph)
7. A Fast and Scalable Method for A-Optimal Design of Experiments for\n Infinite-dimensional Bayesian Nonlinear Inverse Problems
   2014/10/21 by Alen Alexanderian, Noémi Petra, Alexanderian, Alen +5 · 2 citations
   Computer Science · Decision Sciences · #35Q62 #35Q93 #35R30 #62F15 #62K05 #65C60 #Advanced Multi-Objective Optimization Algorithms #Computation (stat.CO) #FOS: Computer and information sciences #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Methodology (stat.ME) #Optimal Experimental Design Methods #Optimization and Control (math.OC)
8. Robust multigrid techniques for augmented Lagrangian preconditioning of incompressible Stokes equations with extreme viscosity variations
   2021/07/02 by Yu-hsuan Shih, Shih, Yu-hsuan, Georg Stadler +3 · 2 citations
   Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Tensor decomposition and applications #Elasticity and Material Modeling
9. Hierarchical Matrix Approximations of Hessians Arising in Inverse\n Problems Governed by PDEs
   2020/03/23 by Ilona Ambartsumyan, Wajih Boukaram, Ambartsumyan, Ilona +13 · 2 citations
   Physics and Astronomy · Engineering · Mathematics · #NMR spectroscopy and applications #Sparse and Compressive Sensing Techniques #Numerical methods in inverse problems
10. Large deviation theory-based adaptive importance sampling for rare events in high dimensions
    2022/09/13 by Shanyin Tong, Tong, Shanyin, Georg Stadler +1 · 2 citations
    Decision Sciences · Environmental Science · Economics, Econometrics and Finance · #Probability and Risk Models #Hydrology and Drought Analysis #Financial Risk and Volatility Modeling
11. Extreme event probability estimation using PDE-constrained optimization and large deviation theory, with application to tsunamis
    2020/07/28 by Tong, Shanyin, Vanden-Eijnden, Eric, Stadler, Georg · 1 citation
    #35Q93 #60F10 #60H35 #65K10 #76B15 #Computation (stat.CO) #FOS: Computer and information sciences #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Probability (math.PR)