Non-parametric Statistics
STAT 527 Spring Quarter 2023

Home

Syllabus

Books and other resources

Class mailing list

 

Assignments

Handouts/Course notes

 

UW Statistics

UW Biostatistics

Syllabus

  • Part I. Basics
  • Nearest neighbor prediction and density estimation
  • Kernel prediction and density estimation
  • Non-parametric density-based clustering
  • Crossvalidation
  • The Boostrap
  • Part II. Intermediate
  • Double descent
  • Kernel Machines
  • [Random Forests]
  • Boosting
  • [Manifold learning]
  • Part III. Advanced
  • Gaussian processes (GPs)
  • Neural networks as GPs and the Neuro-Tangent kernel
  • Random Fourier Features (RFF)
  • NP-Bayes, Dirichlet processes for non-parametric clustering
  • [shape constrained estimation, computational issues with big data, conformal prediction]

  • Some advanced topics and topics in [] may be skipped, depending on time constraints and interest.