CompSciWeek11

Class 1

• Tensor Manipulations - distance distributions in random point set exercise
  • pdist
  • histogram
• Rodrigues' Rotation Formula - the preferred method when you have to work with an angle.
• Matrix Multiplication
  • Basic linear algebra operations
  • Timing Strassen (see also Winograd)

Class 2

• Implicit solutions to linear algebraic equations
  • Least-squares fitting
  • Repetition for point sets - project out and re-fit
  • Review projection and orthogonality (see also Gram-Schmidt)
  • Solution by factorization + forward / reverse substitution
• Minimization the hard way - nonlinear problems Optimize
  • Transcendental problem, 5th order polynomials, etc.
  • Geodesic paths via numerical optimization