algebra geometry

  • Arithmetic mean ?
    • takes into account both direction and magnitude
  • normed then arithmetic mean
    • only care about direction
    • but what about the magnitude of the mean vector ?
  • project to 2 least principal components then project back ?
  • project to 2 most principle components and take the average, then project back ?
  • normalize before or after projecting ?
    • I think it should be before, to preserve the direction