Chapter
1 The Basic Conformal Prediction Framework
1.1 The Basic Setting and Assumptions
1.2 Set and Confidence Predictors
1.2.1 Validity and Efficiency of Set and Confidence Predictors
1.4 Efficiency in the Case of Prediction without Objects
1.5 Universality of Conformal Predictors
1.6 Structured Case and Classification
1.8 Additional Properties of Validity and Efficiency in the Online Framework
1.8.1 Asymptotically Efficient Conformal Predictors
2 Beyond the Basic Conformal Prediction Framework
2.2 Conditional Conformal Predictors
2.3 Inductive Conformal Predictors
2.3.1 Conditional Inductive Conformal Predictors
2.4 Training Conditional Validity of Inductive Conformal Predictors
2.5 Classical Tolerance Regions
2.6 Object Conditional Validity and Efficiency
2.7 Label Conditional Validity and ROC Curves
2.8.1 Inductive Venn Predictors
2.8.2 Venn Prediction without Objects
3.2 Background and Related Work
3.2.1 Pool-based Active Learning with Serial Query
3.2.2 Batch Mode Active Learning
3.2.3 Online Active Learning
3.3 Active Learning Using Conformal Prediction
3.3.1 Query by Transduction (QBT)
3.3.2 Generalized Query by Transduction
Combining multiple criteria in GQBT
3.3.3 Multicriteria Extension to QBT
3.4.2 Application to Face Recognition
3.4.3 Multicriteria Extension to QBT
3.5 Discussion and Conclusions
4.3 Conformal Prediction for Multiclass Anomaly Detection
4.3.1 A Nonconformity Measure for Multiclass Anomaly Detection
4.4 Conformal Anomaly Detection
4.4.1 Conformal Anomalies
4.4.2 Offline versus Online Conformal Anomaly Detection
4.4.3 Unsupervised and Semi-supervised Conformal Anomaly Detection
4.4.4 Classification Performance and Tuning of the Anomaly Threshold
4.5 Inductive Conformal Anomaly Detection
4.5.1 Offline and Semi-Offline Inductive Conformal Anomaly Detection
4.5.2 Online Inductive Conformal Anomaly Detection
4.6 Nonconformity Measures for Examples Represented as Sets of Points
4.6.1 The Directed Hausdorff Distance
4.6.2 The Directed Hausdorff k-Nearest Neighbors Nonconformity Measure
4.7 Sequential Anomaly Detection in Trajectories
4.7.1 The Sequential Hausdorff Nearest Neighbors Conformal Anomaly Detector
4.7.2 Empirical Investigations
5 Online Change Detection
5.4 A Martingale Approach for Change Detection
5.5.1 Simulated Data Stream Using Rotating Hyperplane
5.5.2 Simulated Data Streams Using NDC
5.6 Implementation Issues
5.6.1 Effect of Various Nonconformity Measures
5.6.2 Effect of Parameter ε
6.2 Feature Selection Methods
6.2.3 Embedded Feature Selection
6.3 Issues in Feature Selection
6.3.2 False Discovery Rate
6.3.3 Relevance and Redundancy
6.4 Feature Selection for Conformal Predictors
6.4.1 Strangeness Minimization Feature Selection
6.4.2 Average Confidence Maximization (ACM)
6.5 Discussion and Conclusions
7.3 SVM Model Selection Using Nonconformity Measure
7.4 Nonconformity Generalization Error Bound
8 Prediction Quality Assessment
8.2.1 Conformal Prediction
8.2.2 Confidence Estimation and the Transduction Principle
8.3 Generalized Transductive Reliability Estimation
Typicalness in machine learning
8.3.2 Transductive Reliability Estimation
Assessing the classifier's quality: the curse of trivial models
8.3.3 Merging the Typicalness and Transduction Frameworks
Simplification of transductive reliability estimation for application within the typicalness framework
8.3.4 Extension of Transductive Reliability Estimation to Regression by Means of Local Sensitivity Analysis
8.3.5 Testing Methodology
8.4.1 Experiments on Benchmark Problems
Comparing reliability and confidence
8.4.2 Practical Applications and Considerations
8.5 Discussion and Conclusions
9.2 Metaconformal Predictors
9.2.1 Classifier Performance Metrics
9.2.2 Metaclassifiers and Metaconformal Predictors
Interpreting the p-values
9.3 Single-Stacking Conformal Predictors
9.3.1 Metaconformity versus Single Stacking
9.3.2 Single-Stacking Conformal Predictor
9.4 Conformal Predictors for Time Series Analysis
9.4.1 Time Series Analysis Methods
Autoregressive moving average (ARMA)
Fractional auto regressive integrated moving average
9.4.2 Conformal Predictors for Time Series Analysis: Methodology
10 Biometrics and Robust Face Recognition
10.2 Biometrics and Forensics
10.4 Randomness and Complexity
10.6 Nonconformity Measures for Face Recognition
10.7 Open and Closed Set Face Recognition
10.8 Watch List and Surveillance
10.10 Recognition-by-Parts Using Transduction and Boosting
10.11 Reidentification Using Sensitivity Analysis and Revision
11 Biomedical Applications: Diagnostic and Prognostic
11.2 Examples of Medical Diagnostics
11.2.1 Proteomics: Breast Cancer
11.2.2 Magnetic Resonance Imaging: Clinical Diagnosis and Prognosis of Depression
11.2.3 Online Multiclass Diagnostics
11.3 Nonconformity Measures for Medical and Biological Applications
11.3.1 Support Vector Machine (SVM)
11.3.2 k Nearest Neighbors (kNN)
11.3.3 NCM Based on Other Underlying Algorithms
11.3.4 NCM Based on Feature-Wise Two-Sample T-Test
11.4 Discussion and Conclusions
12 Network Traffic Classification and Demand Prediction
12.2 Network Traffic Classification
12.2.1 Port-Based Approach
12.2.2 Payload-Based Classification
12.2.3 Host Behavior-Based Method
12.2.4 Flow Feature-Based Method
12.3 Network Demand Prediction
12.4 Experimental Results
12.4.1 Network Traffic Classification Datasets
12.4.2 Network Demand Prediction Datasets
13.1 Nuclear Fusion Device Applications
13.1.1 Image Classification for a Nuclear Fusion Diagnostic Device
13.1.2 Classification of L-mode/H-mode Confinement Regimes in a Tokamak Device
13.1.3 Reliable L-mode/H-mode Transition Time Estimation
13.2 Sensor Device Applications
13.2.1 Tea (Smell) Classification
13.2.2 Total Electron Content Prediction
13.2.3 Roadside Assistance Decision Support System
13.3 Sustainability, Environment, and Civil Engineering
13.3.1 Wind Speed Prediction
13.3.2 Air Pollution Assessment
13.3.3 Pavement Structural Diagnostics
13.4 Security Applications
13.4.1 Network Intrusion Detection
13.5 Applications from Other Domains
13.5.1 Software Engineering: Cost Estimation
13.5.2 Forensic Science: Striation Pattern Identification
13.5.3 Machine Translation: Quality Estimation
13.5.4 Pharmaceutical Industry: QSAR Modeling