
Fraud Analytics Using Descriptive, Predictive, and Social Network Techniques
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List of Figures
- Figure 1.1 Fraud Triangle
- Figure 1.2 Fire Incident Claim-Handling Process
- Figure 1.3 The Fraud Cycle
- Figure 1.4 Outlier Detection at the Data Item Level
- Figure 1.5 Outlier Detection at the Data Set Level
- Figure 1.6 The Fraud Analytics Process Model
- Figure 1.7 Profile of a Fraud Data Scientist
- Figure 1.8 Screenshot of Web of Science Statistics for Scientific Publications on Fraud between 1996 and 2014
- Figure 2.1 Aggregating Normalized Data Tables into a Non-Normalized Data Table
- Figure 2.2 Pie Charts for Exploratory Data Analysis
- Figure 2.3 Benford's Law Describing the Frequency Distribution of the First Digit
- Figure 2.4 Multivariate Outliers
- Figure 2.5 Histogram for Outlier Detection
- Figure 2.6 Box Plots for Outlier Detection
- Figure 2.7 Using the z-Scores for Truncation
- Figure 2.8 Default Risk Versus Age
- Figure 2.9 Illustration of Principal Component Analysis in a Two-Dimensional Data Set
- Figure 3.1 3D Scatter Plot for Detecting Outliers
- Figure 3.2 OLAP Cube for Fraud Detection
- Figure 3.3 Example Pivot Table for Credit Card Fraud Detection
- Figure 3.4 Break-Point Analysis
- Figure 3.5 Peer-Group Analysis
- Figure 3.6 Cluster Analysis for Fraud Detection
- Figure 3.7 Hierarchical Versus Nonhierarchical Clustering Techniques
- Figure 3.8 Euclidean Versus Manhattan Distance
- Figure 3.9 Divisive Versus Agglomerative Hierarchical Clustering
- Figure 3.10 Calculating Distances between Clusters
- Figure 3.11 Example for Clustering Birds. The Numbers Indicate the Clustering Steps
- Figure 3.12 Dendrogram for Birds Example. The Thick Black Line Indicates the Optimal Clustering
- Figure 3.13 Screen Plot for Clustering
- Figure 3.14 Scatter Plot of Hierarchical Clustering Data
- Figure 3.15 Output of Hierarchical Clustering Procedures
- Figure 3.16 k-Means Clustering: Start from Original Data
- Figure 3.17 k-Means Clustering Iteration 1: Randomly Select Initial Cluster Centroids
- Figure 3.18 k-Means Clustering Iteration 1: Assign Remaining Observations
- Figure 3.19 k-Means Iteration Step 2: Recalculate Cluster Centroids
- Figure 3.20 k-Means Clustering Iteration 2: Reassign Observations
- Figure 3.21 k-Means Clustering Iteration 3: Recalculate Cluster Centroids
- Figure 3.22 k-Means Clustering Iteration 3: Reassign Observations
- Figure 3.23 Rectangular Versus Hexagonal SOM Grid
- Figure 3.24 Clustering Countries Using SOMs
- Figure 3.25 Component Plane for Literacy
- Figure 3.26 Component Plane for Political Rights
- Figure 3.27 Must-Link and Cannot-Link Constraints in Semi-Supervised Clustering
- Figure 3.28 d-Constraints in Semi-Supervised Clustering
- Figure 3.29 e-Constraints in Semi-Supervised Clustering
- Figure 3.30 Cluster Profiling Using Histograms
- Figure 3.31 Using Decision Trees for Clustering Interpretation
- Figure 3.32 One-Class Support Vector Machines
- Figure 4.1 A Spider Construction in Tax Evasion Fraud
- Figure 4.2 Regular Versus Fraudulent Bankruptcy
- Figure 4.3 OLS Regression
- Figure 4.4 Bounding Function for Logistic Regression
- Figure 4.5 Linear Decision Boundary of Logistic Regression
- Figure 4.6 Other Transformations
- Figure 4.7 Fraud Detection Scorecard
- Figure 4.8 Calculating the p-Value with a Student's t-Distribution
- Figure 4.9 Variable Subsets for Four Variables V1, V2, V3, and V4
- Figure 4.10 Example Decision Tree
- Figure 4.11 Example Data Sets for Calculating Impurity
- Figure 4.12 Entropy Versus Gini
- Figure 4.13 Calculating the Entropy for Age Split
- Figure 4.14 Using a Validation Set to Stop Growing a Decision Tree
- Figure 4.15 Decision Boundary of a Decision Tree
- Figure 4.16 Example Regression Tree for Predicting the Fraud Percentage
- Figure 4.17 Neural Network Representation of Logistic Regression
- Figure 4.18 A Multilayer Perceptron (MLP) Neural Network
- Figure 4.19 Local Versus Global Minima
- Figure 4.20 Using a Validation Set for Stopping Neural Network Training
- Figure 4.21 Example Hinton Diagram
- Figure 4.22 Backward Variable Selection
- Figure 4.23 Decompositional Approach for Neural Network Rule Extraction
- Figure 4.24 Pedagogical Approach for Rule Extraction
- Figure 4.25 Two-Stage Models
- Figure 4.26 Multiple Separating Hyperplanes
- Figure 4.27 SVM Classifier for the Perfectly Linearly Separable Case
- Figure 4.28 SVM Classifier in Case of Overlapping Distributions
- Figure 4.29 The Feature Space Mapping
- Figure 4.30 SVMs for Regression
- Figure 4.31 Representing an SVM Classifier as a Neural Network
- Figure 4.32 One-Versus-One Coding for Multiclass Problems
- Figure 4.33 One-Versus-All Coding for Multiclass Problems
- Figure 4.34 Training Versus Test Sample Set Up for Performance Estimation
- Figure 4.35 Cross-Validation for Performance Measurement
- Figure 4.36 Bootstrapping
- Figure 4.37 Calculating Predictions Using a Cut-Off
- Figure 4.38 The Receiver Operating Characteristic Curve
- Figure 4.39 Lift Curve
- Figure 4.40 Cumulative Accuracy Profile
- Figure 4.41 Calculating the Accuracy Ratio
- Figure 4.42 The Kolmogorov-Smirnov Statistic
- Figure 4.43 A Cumulative Notch Difference Graph
- Figure 4.44 Scatter Plot: Predicted Fraud Versus Actual Fraud
- Figure 4.45 CAP Curve for Continuous Targets
- Figure 4.46 Regression Error Characteristic (REC) Curve
- Figure 4.47 Varying the Time Window to Deal with Skewed Data Sets
- Figure 4.48 Oversampling the Fraudsters
- Figure 4.49 Undersampling the Nonfraudsters
- Figure 4.50 Synthetic Minority Oversampling Technique (SMOTE)
- Figure 5.1a Köningsberg Bridges
- Figure 5.1b Schematic Representation of the Köningsberg Bridges
- Figure 5.2 Identity Theft. The Frequent Contact List of a Person is Suddenly Extended with Other Contacts (Light Gray Nodes). This Might Indicate that a Fraudster (Dark Gray Node) Took Over that Customer's Account and "shares" his/her Contacts
- Figure 5.3 Network Representation
- Figure 5.4 Example of a (Un)Directed Graph
- Figure 5.5 Follower-Followee Relationships in a Twitter Network
- Figure 5.6 Edge Representation
- Figure 5.7 Example of a Fraudulent Network
- Figure 5.8 An Egonet. The Ego is Surrounded by Six Alters, of Whom Two are Legitimate (White Nodes) and Four are Fraudulent (Gray Nodes)
- Figure 5.9 Toy Example of Credit Card Fraud
- Figure 5.10 Mathematical Representation of (a) a Sample Network: (b) the Adjacency or Connectivity Matrix; (c) the Weight Matrix; (d) the Adjacency List; and (e) the Weight List
- Figure 5.11 A Real-Life Example of a Homophilic Network
- Figure 5.12 A Homophilic Network
- Figure 5.13 Sample Network
- Figure 5.14a Degree Distribution
- Figure 5.14b Illustration of the Degree Distribution for a Real-Life Network of Social Security Fraud. The Degree Distribution Follows a Power Law (log-log axes)
- Figure 5.15 A 4-regular Graph
- Figure 5.16 Example Social Network for a Relational Neighbor Classifier
- Figure 5.17 Example Social Network for a Probabilistic Relational Neighbor Classifier
- Figure 5.18 Example of Social Network Features for a Relational Logistic Regression Classifier
- Figure 5.19 Example of Featurization with Features Describing Intrinsic Behavior and Behavior of the...
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