eigenmodes

June 7th, 2006 at 11: 39 pm s.y.: The alleged PCA misuse was in not using enough eigenmodes to make the reconstruction insensitive to the number of eigenmodes used.

“The Entire Planet!” Sean 2006

When this is the case, the eigenvectors of the data set resemble the theoretical orthogonal spatial eigenmodes of the solutions.

Roll Over, Preisendorfer « Climate Audit 2005

The Fourier expansion has to be replaced by the expansion into the eigenmodes of some more general operators.

The Reference Frame 2010

Schneider et al (2004) looked much more closely at how many eigenmodes can be usefully extracted from the data and how much of the variance they explain.

RealClimate 2009

In the strong-coupling regime, quantum emitters in a microresonator absorb and spontaneously re-emit a photon many times before dissipation becomes effective, giving rise to mixed light-matter eigenmodes.

Naturejobs - All Jobs 2009

Since we are interested in the robust features of the spatial correlation, you don't want to include too many PCs or eigenmodes (each with ever more localised structures) since you will be including features that are very dependent on individual (and possibly suspect) records.

RealClimate 2009

In this case, I didn't find people expressing shock that they have worked out the number of eigenmodes used in an analysis, when it was clearly stated in the paper, particularly interesting.

RealClimate 2009

Schneider et al (2004) looked much more closely at how many eigenmodes can be usefully extracted from the data and how much of the variance they explain.

RealClimate 2009

Schneider et al (2004) looked much more closely at how many eigenmodes can be usefully extracted from the data and how much of the variance they explain.

RealClimate 2009

In the strong-coupling regime, quantum emitters in a microresonator absorb and spontaneously re-emit a photon many times before dissipation becomes effective, giving rise to mixed light-matter eigenmodes.

Naturejobs - All Jobs 2009