Estimation of small failure probabilities by partially Bayesian active learning line sampling: Theory and algorithm

Mathematics

• Active Learning 100%
• Bayesian Learning 94%
• Failure Probability 85%
• Sampling Theory 80%
• Line 42%
• Sampling Methods 35%
• Posterior Mean 10%
• Stopping Criterion 10%
• Discretization Error 9%
• Prior Knowledge 9%
• Engineering Application 9%
• Gaussian Model 9%
• Process Model 8%
• Distance Function 8%
• Community 8%
• Prior distribution 7%
• Gaussian Process 7%
• Learning 7%
• Efficient Algorithms 6%
• Statistics 5%
• Upper bound 5%
• Simulation 5%
• Numerical Examples 4%
• Demonstrate 4%
• Performance 4%
• Standards 4%
• Model 2%

Physics & Astronomy

• learning 68%
• sampling 52%
• inference 10%
• stopping 9%
• statistics 7%
• engineering 6%
• performance 3%
• simulation 3%

Engineering & Materials Science

• Problem-Based Learning 72%
• Sampling 44%
• Statistics 6%