Abstract: We extend the relation between univariate polynomial optimization in one complex variable and the polynomial eigenvalue problem to the multivariate case. The first-order necessary conditions ...

Introduction: We present Quantum Adaptive Search (QAGS), a hybrid quantum-classical algorithm for global optimization of multivariate functions. The method employs an adaptive mechanism that ...

Develop a Python function (Multivariate Optimization) to compute the Hessian matrix for a given scalar-valued function of multiple variables. In mathematics, the Hessian matrix or Hessian is a square ...

R. Miikkulainen, N. Iscoe, A. Shagrin, R. Rapp, S. Nazari, P. McGrath, C. Schoolland, E. Achkar, M. Brundage, J. Miller, J. Epstein, and G. Lamba Conversion rate ...

Multivariate testing has recently emerged as a promising technique in web interface design. In contrast to the standard A/B testing, multivariate approach aims at evaluating a large number of values ...

Problem definition: Assortment selection is one of the most important decisions faced by retailers. Most existing papers in the literature assume that customers select at most one item out of the ...