8 problems

The problem is to infer an autonomous agent's decision-making process from observations of its decisions. Principle of optimality. Autonomous agents generally make decisions in som…

Let $\mathcal{U}_t$ denote the set associated with the observations at time $t$, and suppose it corresponds to a problem with multiple constraints. Multiple-constraint structure co…

Consider learning from data generated by an optimization problem, with external parameters $\mathbf{u}$, and let the associated value function or optimizer function have an underly…

Let a convex parametric optimization problem have external parameters $\mathbf{u}$, and let its solution or value function be described by critical regions in the parameter space.…

Elliptical Pareto-critical-set conjecture. The ellipse parametrized by $\bar{x}^j=(a\cos(2\pi j/N),b\sin(2\pi j/N))^\top$ can be represented as the Pareto critical set of this poly…

The 2 Pts@. model combines the two predictions 2-D GANCER-sc. and 3-D GANCER-sc. in an ensemble inverse-optimization model, and PTV satisfaction measures performance on planning-ta…

The forward problem uses objective functions whose magnitudes vary widely. Conjecture. The fact that the absolute duality gap model is not well-suited to this application is due to…

Let $\rho_{OCE}^{s}$ be the true optimized certainty equivalent risk measure, let $\rho_{Spec}$ be the reference spectral risk measure, and let $\rho_{IC}^{s}$ be the imputed risk…