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《Pass-Fail Decision Margins with Model Prediction Intervals》
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Pass-Fail Decision Margins with Model Prediction Intervals
30 Chapters
View Course Samples Online
01
Course overview
pass-fail decision problems, prediction intervals, decision margins, and their role in risk-controlled engineering systems.
pass-fail
decision
02
Prediction interval fundamentals
coverage probability, interval width, calibration, and the distinction between confidence and prediction intervals.
Prediction
interval
03
Decision margin formulation
defining pass-fail thresholds, margin as distance from threshold, and the coupling between interval bounds and decision outcomes.
Decision
formulation
04
Sources of uncertainty
aleatoric vs. epistemic uncertainty, model error, measurement noise, and their propagation into prediction intervals.
uncertainty
aleatoric
05
Interval construction methods
parametric, nonparametric, bootstrap, and conformal prediction approaches for regression and classification models.
Interval
construction
06
Conformal prediction for pass-fail decisions
split conformal, full conformal, and adaptive methods with guaranteed marginal coverage.
Conformal
prediction
07
Coverage guarantees and their limitations
marginal vs. conditional coverage, exchangeability assumptions, and distribution shift effects.
Coverage
guarantees
08
Decision margin design under coverage constraints
selecting margin width to achieve target pass-fail error rates and risk bounds.
Decision
coverage
09
Trade-offs between interval width and decision reliability
precision-recall analysis, false accept/false reject costs, and margin tuning.
Trade-offs
interval
10
Calibration of prediction intervals
reliability diagrams, coverage diagnostics, and recalibration techniques for decision margins.
Calibration
prediction
11
Case study
pass-fail decision margins in manufacturing quality control using conformal prediction intervals.
pass-fail
decision
12
Case study
medical diagnostic decision margins with prediction intervals for patient risk stratification.
diagnostic
decision
13
Case study
autonomous system safety envelopes using prediction intervals and pass-fail margin thresholds.
autonomous
envelopes
14
Asymmetric loss and cost-sensitive margins
incorporating false positive/negative costs into interval-based decision rules.
Asymmetric
cost-sensitive
15
Sequential and online decision margins
updating prediction intervals with streaming data and maintaining coverage over time.
Sequential
decision
16
Robustness of decision margins under distribution shift
detecting shift, adaptive conformal methods, and margin recalibration.
Robustness
decision
17
Multi-class and multi-label pass-fail decisions
set-valued prediction, margin definitions, and coverage for classification.
Multi-class
multi-label
18
Evaluation metrics for interval-based decisions
coverage, interval score, decision accuracy, and margin efficiency.
Evaluation
interval-based
19
Sensitivity analysis and stress testing of decision margins
perturbation of model, data, and threshold parameters.
Sensitivity
analysis
20
Optimization of decision margins
minimizing expected cost subject to coverage constraints and operational limits.
Optimization
decision
21
Practical implementation
software tools and libraries for conformal prediction and interval-based decision rules.
implementation
software
22
Case study
predictive maintenance pass-fail decisions with prediction intervals for equipment failure risk.
predictive
maintenance
23
Case study
financial credit approval decisions using prediction intervals and margin-based thresholds.
financial
approval
24
Case study
environmental monitoring compliance decisions with uncertainty-aware prediction intervals.
environmental
monitoring
25
Human-in-the-loop decision margins
communicating interval uncertainty and margin to stakeholders for pass-fail actions.
Human-in-the-loop
decision
26
Regulatory and ethical considerations
transparency, accountability, and validation of interval-based decision systems.
Regulatory
considerations
27
Advanced topics
conformal predictive distributions, risk-controlling prediction sets, and distribution-free guarantees for margins.
Advanced
conformal
28
Integration with model lifecycle
monitoring coverage, updating intervals, and maintaining decision margin validity post-deployment.
Integration
lifecycle
29
Project
design and evaluate a pass-fail decision margin system with prediction intervals for a real-world dataset.
evaluate
pass-fail
30
Course synthesis
best practices, open challenges, and future directions in pass-fail decision margins with prediction intervals.
synthesis
practices
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