Marc Raimondo - CMI
Marc Raimondo - CMI
Marc Raimondo - CMI
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Motivations:<br />
� analog of Davidson-Szarek<br />
Double Wishart<br />
� arises in Candes-Tao sparse linear regression, Y = Aβ + ǫ,<br />
restricted orthogonality constants θS,S ′, and analogs γS,S ′:<br />
〈ATv,AT ′v′ 〉 ≤ θS,S ′�v��v′ � (≤ γS,S ′�ATv��AT ′v′ �).<br />
Use CCA form: X ∼ N(0,In ⊗ Ip) ⊥ Y ∼ N(0,In ⊗ Iq)<br />
Rp,q;n(X,Y ) = max{Corr(Xu,Y v) : �u� = �v� = 1}<br />
Luminy 12/08 – p.32