Gaussian prior factors

• Gaussian prior factor for log-probabilities
  • Lagrange multipliers: Error functional
  • Normalization by parameterization: Error functional
  • The Hessians ,
• Gaussian prior factor for probabilities
  • Lagrange multipliers: Error functional
  • Normalization by parameterization: Error functional
  • The Hessians ,
• General Gaussian prior factors
  • The general case
  • Example: Square root of
  • Example: Distribution functions
• Covariances and invariances
  • Approximate invariance
  • Approximate symmetries
  • Example: Infinitesimal translations
  • Example: Approximate periodicity
• Non-zero means
• Quadratic density estimation and empirical risk minimization
• Regression
  • Gaussian regression
  • Exact predictive density
  • Gaussian mixture regression (cluster regression)
  • Support vector machines and regression
• Classification
• Inverse quantum mechanics