On the largest principal angle between random subspaces
β Scribed by P.-A. Absil; A. Edelman; P. Koev
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 129 KB
- Volume
- 414
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
It has recently been shown that the symmetric gauge functions on the canonical (principal) angles give a family of unitarily invariant metrics between linear subspaces of the same dimension. In this short paper, we extend such metrics to subspaces of possibly different dimensions. This extension is
For 1 p , sufficient conditions on the generators [, h ] h>0 are given which ensure that the h-dilates of the shift-invariant space generated by , h provide L p -approximation of order k>0. Examples where , h is an exponential box spline or certain dilates of the Gaussian e &| } | 2 are considered;
The random graphs G(n, Pr(edge)= p), G(n, \*edges=M) at the critical range p=(1+\*n &1Γ3 )Γn and M=(nΓ2)(1+\*n &1Γ3 ) are studied. The limiting distribution of the largest component size is determined.