List of Figures

• Behaviour Hierarchy
• Offline: Learning from Human Interaction
• Online: Interaction with Single User
• Dialog Interaction and Analysis Window
• Head and Hand Blob Tracking
• Time Series Data of a 3 Blobs (1 User)
• Graphical Rendering of Perceptual Measurements)
• Training the System Perceptually)
• Top 60 Eigenvalues in Y-space
• First Eigenvector of Past Interaction
• Exponential Decay and Pre-Processing
• Eigenspace Properties for ${\bf x}$
• Simple Discriminative Model - Complex Generative Model
• Large Input Data, Small Output Estimation
• Distracting Features
• The Graphical Models
• A Parabolic Bound on an Arbitrary Function
• Bound Maximization Convergence
• Gradient Ascent
• 2nd Order Approximations
• Bounding the logarithm
• Extending arbitrary sinusoids
• Bounding the Logarithm
• Mixture of 3 Gaussians
• Look-Up Table and Example Mean Parabolic Bound
• Look-Up Table and Example Mean Piece-Wise Parabolic Bound
• Look-Up Table for Covariance Bound
• Covariance Bounding Examples
• 4 Gaussian Data to Model with 2 Gaussians
• Global and Typical ML^c Estimate using CEM
• Inferior Local ML^c Estimate using CEM
• ML Estimate using EM
• Constraints on Joint Density
• Arg Maximization
• Conditional Log-Likelihood on Training Data
• Training Mode
• Prediction Mode
• Interaction Mode
• Perceptual Mode
• Simulation Mode
• Conditional Log Likelihood on ARL Data
• Scare Interaction
• Waving Interaction
• Clapping Interaction
• 3D Face Modeling and Tracking
• 2D Mixture Model
• Joint Density Estimate
• Conditioned Joint Density Estimate
• Direct Conditional Density Estimate
• Slices of p(y|x)^j and p(y|x)^c at x = -5
• Inconsistency in the Bayesian Inferences