Finite DPPs

• Definition
  • Inclusion probabilities
  • Likelihood
  • Existence
  • Projection DPPs
  • k-DPPs
• Properties
  • Relation between correlation and likelihood kernels
  • Generic DPPs as mixtures of projection DPPs
  • Number of points
  • Geometrical insights
  • Diversity
  • Conditioning
• Exact sampling
  • Projection DPPs: the chain rule
  • Spectral method
  • Cholesky-based method
  • Intermediate sampling method
  • \(k\)-DPPs
• MCMC sampling
  • Add/exchange/delete
  • Zonotope
  • k-DPPs
• Approximate sampling
• API