Spatio-temporal prediction of missing temperature with stochastic Poisson equations: The LC2019 team winning entry for the EVA 2019 data competition

Mathematics

• Boundary conditions 25%
• Demonstrate 23%
• Dimensionality 39%
• Evaluation 28%
• Extremes 70%
• Nonstationarity 52%
• Numerical Methods 28%
• Parameter Estimation 35%
• Poisson's equation 79%
• Predict 36%
• Prediction 62%
• Regularization 33%
• Resolve 38%
• Sea Surface Temperature 71%
• Stochastic Differential Equations 34%
• Stochastic Equations 80%
• Stochastic Partial Differential Equations 43%

Business & Economics

• Boundary Conditions 42%
• Dimensionality 43%
• Evaluation Criteria 41%
• Nonstationarity 72%
• Numerical Methods 47%
• Parameter Estimation 45%
• Partial Differential Equations 48%
• Prediction 63%
• Regularization 50%
• Stochastic Differential Equations 52%
• Temperature 74%
• Usefulness 31%

Engineering & Materials Science

• Boundary conditions 29%
• Differential equations 34%
• Numerical methods 34%
• Parameter estimation 36%
• Partial differential equations 38%
• Poisson equation 100%
• Temperature 31%