18 citations · 33 across the 6 of their papers we have counts for
7 papers
Benchmarking of quantum and classical SDP relaxations for QUBO formulations of real-world logistics problems
Birte Ostermann, Taylor Garnowski, Fabian Henze +7
Quadratic unconstrained binary optimization problems (QUBOs) are intensively discussed in the realm of quantum computing and polynomial optimization. We provide a vast experimental…
The Duality of SONC: Advances in Circuit-based Certificates
Janin Heuer, Timo de Wolff
The cone of sums of nonnegative circuits (SONCs) is a subset of the cone of nonnegative polynomials / exponential sums, which has been studied extensively in recent years. In this…
Re-entrant tensegrity: A three-periodic, chiral, tensegrity structure that is auxetic
Mathias Oster, Marcelo A. Dias, Timo de Wolff +1
We present a three-periodic, chiral, tensegrity structure and demonstrate that it is auxetic. Our tensegrity structure is constructed using the chiral symmetry Π+ cylinder packing,…
Global Optimization via the Dual SONC Cone and Linear Programming
Mareike Dressler, Janin Heuer, Helen Naumann +1
Using the dual cone of sums of nonnegative circuits (SONC), we provide a relaxation of the global optimization problem to minimize an exponential sum and, as a special case, a mult…
The kinetic space of multistationarity in dual phosphorylation
E. Feliu, N. Kaihnsa, T. de Wolff +1
Multistationarity in molecular systems underlies switch-like responses in cellular decision making. Determining whether and when a system displays multistationarity is in general a…
New Dependencies of Hierarchies in Polynomial Optimization
Adam Kurpisz, Timo de Wolff
We compare four key hierarchies for solving Constrained Polynomial Optimization Problems (CPOP): Sum of Squares (SOS), Sum of Diagonally Dominant Polynomials (SDSOS), Sum of Nonneg…