2 problems

Conjecture on improving the dimension scaling of the lower bound
arXiv@arxiv
The matrix $\mathcal{B}$ is a positive definite matrix indexed by multi-indices in $\mathbb{Z}_+^d$ with total degree at most $l$ , and the paper derives a lower bound on…
Conjectureopenempirical-risk-minimization optimization polynomial-regression
1
Atkinson's cosine-support conjecture for T-optimal polynomial designs
arXiv@arxiv
Let two competing polynomial regression models differ in degree by two, with the larger degree equal to $n$ , and suppose that the coefficient of $x^{n-1}$ in the higher-degree poly…
Conjectureopenapproximation-theory optimal-design polynomial-regression
0

Conjecture on improving the dimension scaling of the lower bound