Global Minimization for Generalized Polynomial Fractional Program

A Data Augmentation Prior in Fractional Polynomial Generalized Linear Models

In microbial and chemical risk assessments, careful dose-response modeling is emphasized because a target risk level (probability of infection or illness) is often in the low benchmark response range of 1% to 10%. To address model uncertainty at low doses and enhance diversity and flexibility for model-averaging, a set of fractional polynomial dose-response models can be considered. However, el...

Global Minimization of a Multivariate Polynomial using Matrix Methods

The problem of minimizing a polynomial function in several variables over R n is considered and an algorithm is given. When the polynomial has a minimum the algorithm returns the global minimum and nds at least one point in every connected component of the set of minimizers. A characterization of such points is given. When the polynomial does not have a minimum the algorithm can compute its inn...

Global minimization of a mutivariate polynomial using matrix methods

The problem of minimizing a polynomial function in several variables over Rn is considered and an algorithm is given. When the polynomial has a minimum the algorithm returns the global minimum and nds at least one point in every connected component of the set of minimizers. A characterization of such points is given. When the polynomial does not have a minimum the algorithm can compute its in m...

Generalized Monotonicity from Global Minimization in Fourth-Order ODE's

Minimization for Generalized Boolean Formulas

The minimization problem for propositional formulas is an important optimization problem in the second level of the polynomial hierarchy. In general, the problem is Σp2-complete under Turing reductions, but restricted versions are tractable. We study the complexity of minimization for formulas in two established frameworks for restricted propositional logic: The Post framework allowing arbitrar...