%0 Journal Article %T A conjecture concerning optimality of the Karhunen-Loeve basis in nonlinear reconstruction %A Stephane Mallat %A Ofer Zeitouni %J Statistics %D 2011 %I arXiv %X We present a conjecture regarding the expectation of the maxima of $L^2$ norms of sub-vectors of a Gaussian vector; this has application to nonlinear reconstruction. %U http://arxiv.org/abs/1109.0489v2