论文研究普通
A Strict Upper Bound for Three-Point Weighted Selection in Planar Vector-Valued Regression
内容摘要
We prove $F_{\mathrm{weighted}}(2,2,3) 0$ satisfies $\mathcal T_3\le(5/6-\varepsilon_0)E$ for every finite residual frame. The proof combines an exact scalar certificate, rigidity of equality in planar selection, and a compactness argument that controls disappearing weights. Together with the known lower bound, this gives $13/8\le F_{\mathrm{weighted}}(2,2,3)<11/6$. No numerical value of $\varepsilon_0$ is claimed.