Benign non-convexity conjecture for dimensional logarithmic Sobolev optimization
Let Ur∈Rd×rU_r\in\mathbb{R}^{d\times r}Ur∈Rd×r be an orthonormal matrix, and let Gr(d,r)\mathrm{Gr}(d,r)Gr(d,r) denote the Grassmann manifold of rrr-dimensional subspaces of Rd\mathbb{R}^dRd. Define … as in…