3 papers
math.AG2025
Positive Moments Forever: Undecidable and Decidable Cases
Gemma De les Coves, Joshua Graf, Andreas Klingler +1
We investigate the generalized moment membership problem for matrices, a formulation equivalent to Skolem's problem for linear recurrence sequences. We show decidability for orthog…
math.OC2025
Homotopy Methods for Convex Optimization
Andreas Klingler, Tim Netzer
Convex optimization encompasses a wide range of optimization problems that contain many efficiently solvable subclasses. Interior point methods are currently the state-of-the-art a…
quant-ph2025
Border Ranks of Positive and Invariant Tensor Decompositions: Applications to Correlations
Andreas Klingler, Tim Netzer, Gemma De les Coves
The matrix rank and its positive versions are robust for small approximations, i.e. they do not decrease under small perturbations. In contrast, the multipartite tensor rank can co…