Stanford / Mathematics

Statistical Estimation

By Stephen Boyd | Convex Optimization I Lecture 11 of 19

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Lecture Description

Statistical Estimation, Maximum Likelihood Estimation, Examples, Logistic Regression, (Binary) Hypothesis Testing, Scalarization, Experiment Design, D-Optimal Design

Course Description

Concentrates on recognizing and solving convex optimization problems that arise in engineering.

Topics include: Convex sets, functions, and optimization problems. Basics of convex analysis. Least-squares, linear and quadratic programs, semidefinite programming, minimax, extremal volume, and other problems. Optimality conditions, duality theory, theorems of alternative, and applications. Interiorpoint methods. Applications to signal processing, control, digital and analog circuit design, computational geometry, statistics, and mechanical engineering.

Prerequisites: Good knowledge of linear algebra. Exposure to numerical computing, optimization, and application fields helpful but not required; the engineering applications will be kept basic and simple.

Related Resources

Transcript   |  Statistical Estimation

Course Index

  1. Introduction to Convex Optimization I
  2. Guest Lecturer: Jacob Mattingley
  3. Logistics
  4. Vector Composition
  5. Optimal And Locally Optimal Points
  6. (Generalized) Linear-Fractional Program
  7. Generalized Inequality Constraints
  8. Lagrangian
  9. Complementary Slackness
  10. Applications Section of Course
  11. Statistical Estimation
  12. Continue On Experiment Design
  13. Linear Discrimination (Cont.)
  14. LU Factorization (Cont.)
  15. Algorithm Section Of The Course
  16. Continue On Unconstrained Minimization
  17. Newton's Method (Cont.)
  18. Logarithmic Barrier
  19. Interior-Point Methods (Cont.)
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