Adaptive dimension reduction to accelerate infinite-dimensional geometric Markov Chain Monte Carlo

Mathematics

• Dimension Reduction 92%
• Accelerate 89%
• Markov Chain Monte Carlo 84%
• Inverse Problem 65%
• Subspace 57%
• Uncertainty Quantification 54%
• Crank-Nicolson 51%
• Turbulent Combustion 35%
• Scale-up 31%
• Discretization 30%
• MCMC Algorithm 29%
• Geometric Algorithms 28%
• Gauss-Newton 27%
• Covariance Operator 27%
• Spectral Approximation 26%
• Physical Model 24%
• Fisher Information 24%
• Efficient Implementation 24%
• Probe 24%
• Spectral Decomposition 24%
• Complex Structure 22%
• Speedup 21%
• Linear algebra 19%
• Unknown Parameters 19%
• Parameter Space 19%
• Predict 19%
• Higher Dimensions 18%
• Elliptic Problems 18%
• Error Bounds 18%
• Function Space 18%
• Refinement 17%
• Asymptotic Behavior 14%
• Partial 13%
• Metric 13%
• Operator 9%
• Class 6%

Physics & Astronomy

• Markov chains 100%
• eccentrics 26%
• geometry 19%
• function space 16%
• operators 16%
• turbulent combustion 16%
• Fisher information 15%
• pulse detonation engines 14%
• inference 13%
• newton 11%
• algebra 11%
• proposals 10%
• decomposition 8%
• probes 7%
• approximation 6%

Engineering & Materials Science

• Markov chains 79%
• Inverse problems 59%
• Geometry 24%
• Linear algebra 17%
• Uncertainty 17%
• Decomposition 9%