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A duality view of spectral methods for dimensionality reduction
Duality spectrum the nonlinear dimension reduction locally linear embedding Laplacian sparse matrix
2015/8/10
We present a unified duality view of several recently emerged spectral methods for nonlinear dimensionality reduction, including Isomap, locally linear embedding, Laplacian eigenmaps, and maximum vari...
Fock-state view of weak-value measurements and implementation with photons and atomic ensembles
Fock-state view weak-value measurements implementation photons atomic ensembles
2010/11/5
Weak measurements in combination with post-selection can give rise to a striking amplification effect (related to a large "weak value"). We show that this effect can be understood by viewing the initi...