3 problems

0 votes0 replies0 views
Inclusion conjecture for NN and BD generalized doubly nonnegative cones
Inclusion conjecture.
Conjectureopenconvex-cones optimization second-order-conesarXiv posted 2 days ago
0 votes0 replies1 view
Conjecture that SOS-L2 gives a more conservative polynomial second-order-cone approximation
SOS-L2 conservativeness conjecture. For general $n$ and $d$ , $K_{\operatorname{SOS}\ell_2}$ yields an approximation of $K_{\operatorname{polysoc}}$ that is more conservative than t…
Conjectureopenpolynomial-optimization second-order-cones sum-of-squaresarXiv posted 2 days ago
0 votes0 replies1 view
Conic aggregation conjecture for convexifying an intersection of two quadratic inequalities
Let $f_0=f_0(x)$ be convex and let $f_1=f_1(x)$ be nonconvex. Define … For $0\leq t\leq 1$ , set $f_t:=(1-t)f_0+tf_1$ , and suppose that $f_s$ is convex for some $s$ with…
Conjectureopenconvex-optimization quadratic-optimization second-order-conesarXiv posted 2 days ago

Inclusion conjecture for NN and BD generalized doubly nonnegative cones