3 problems

Let a multiple-index model have a central space, and let the generalized signal-to-noise ratio be denoted by $\operatorname{gSNR}$. Lin et al.'s conjecture. The minimax optimal rat…

Let $d$ be bounded, let $0<\lambda\leq 1$, and let $\mathcal{F}_{d}(\lambda,\kappa)$ be the function class of $d$-index models. A function $f_{\lambda}$ is $d$-variate when it is d…

Let the sliced stability condition be the regularity assumption on the inverse regression curve described above, and let the conditions proposed by Hsing et al. be imposed, with th…