Why EOFs ?
Why EOFs ?
outline
Background in meteorology
 E N Lorenz : EOFs and dynamical systems
 E N Lorenz (continued)
1 dimensional example:
sample over time
1 dimensional example
BurgerŐs equation
1 dimensional example (cont.)
Slide 9
EOFs and PCs
Looking for variance
structure: taxonomy in climate
Looking for structure: taxonomy
Looking for dynamical
structure: bump hunting
Slide 14
Looking for predictable structure
1 dimensional example
BurgerŐs equation
1 dimensional example (cont.)
Dimension reduction:EOF basis
Sampling strategies for small samples in high dimensional systems: dimension reduction
Bred vectors and Singular vectors
Concluding remarks