cems (version 0.4)

cem.example.sr: Conditional Expectation Manifold Example on Swissroll

Description

This function runs the swissroll example in:

Samuel Gerber and Ross Whitaker, Conditional Expectation Curves, Submitted 2011.

Usage

cem.example.sr(n =1000, nstd=0.1, init=0, risk=2, stepX=0.1)

Arguments

n

Sample size.

nstd

Amount of normal distributed noise orthogonal to the swissroll.

risk

Optimization objective

init

Type of initialization. 0 = ground truth, 1 = random, 2 = y-values of arc (i.e. close to principal component)

stepX

Optimization step size

References

Samuel Gerber, Tolga Tasdizen, Ross Whitaker, Dimensionality Reduction and Principal Surfaces via Kernel Map Manifolds, In Proceedings of the 2009 International Conference on Computer Vison (ICCV 2009).

Samuel Gerber and Ross Whitaker, Regularization-Free Principal Curve Estimation Journal of Machine Learning Research 2013.

See Also

cem