The sloppy model universality class and the Vandermonde matrix

Details The sloppy model universality class and the Vandermonde matrix The sloppy model universality class and the Vandermonde matrix

2006-05-15

arxiv.org/abs/cond-mat/0605387v2

Physics

Condensed Matter

Statistical Mechanics

New content added

Scientific paper

10.1103/PhysRevLett.97.150601

In a variety of contexts, physicists study complex, nonlinear models with many unknown or tunable parameters to explain experimental data. We explain why such systems so often are sloppy; the system behavior depends only on a few `stiff' combinations of the parameters and is unchanged as other `sloppy' parameter combinations vary by orders of magnitude. We contrast examples of sloppy models (from systems biology, variational quantum Monte Carlo, and common data fitting) with systems which are not sloppy (multidimensional linear regression, random matrix ensembles). We observe that the eigenvalue spectra for the sensitivity of sloppy models have a striking, characteristic form, with a density of logarithms of eigenvalues which is roughly constant over a large range. We suggest that the common features of sloppy models indicate that they may belong to a common universality class. In particular, we motivate focusing on a Vandermonde ensemble of multiparameter nonlinear models and show in one limit that they exhibit the universal features of sloppy models.

Affiliated with

Also associated with

No associations

Rating

The sloppy model universality class and the Vandermonde matrix does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The sloppy model universality class and the Vandermonde matrix, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The sloppy model universality class and the Vandermonde matrix will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-621324