6 problems

Aligned multi-objective optimization (AMOO) considers multiple related loss functions whose feedback is aligned or approximately aligned during optimization. In this setting, algor…

Let $F$ be an $(m-1)$-dimensional manifold with known chart $\bar g\in\mathcal{C}^2(V,F)$, where $V=[0,1]^{m-1}$ or $V=\Omega$, and let $T(y,F)$ be the tangential space at $y\in F$…

The experiments compare optimization dynamics with and without interaction in parameter space, using potentials whose choice affects the resulting solutions. Potential-induced stoc…

A Pareto set is the set of nondominated points arising from a multi-objective optimization problem; here, the relevant Pareto set is associated with the trade-off over a discrete s…

PESA-EPO approximation conjecture. If the initial objective vectors are the closest EPO solutions for the extreme preference rays and $\partial\mathcal{O}$ is connected, then incre…

Variation conjecture. There exists a set $S$ of size $k'$ such that