Convergence rates for sums-of-squares hierarchies with correlative sparsity

M Korda, V Magron, R Rios-Zertuche - Mathematical Programming, 2024 - Springer
This work derives upper bounds on the convergence rate of the moment-sum-of-squares
hierarchy with correlative sparsity for global minimization of polynomials on compact basic …

[HTML][HTML] Peak estimation of rational systems using convex optimization

J Miller, RS Smith - European Journal of Control, 2024 - Elsevier
This paper presents algorithms that upper-bound the peak value of a state function along
trajectories of a continuous-time system with rational dynamics. The finite-dimensional but …

Computational complexity of sum-of-squares bounds for copositive programs

M Palomba, L Slot, LF Vargas, M Mastrolilli - arxiv preprint arxiv …, 2025 - arxiv.org
In recent years, copositive programming has received significant attention for its ability to
model hard problems in both discrete and continuous optimization. Several relaxations of …

Learning quantum Hamiltonians at any temperature in polynomial time with Chebyshev and bit complexity

A Wodecki, J Marecek - arxiv preprint arxiv:2402.05552, 2024 - arxiv.org
We consider the problem of learning local quantum Hamiltonians given copies of their Gibbs
state at a known inverse temperature, following Haah et al.[2108.04842] and Bakshi et …

Convergence rates for sums-of-squares hierarchies with correlative sparsity

RA Rios Zertuche Rios Zertuche, M Korda, V Magron - 2024 - munin.uit.no
This work derives upper bounds on the convergence rate of the moment-sum-of-squares
hierarchy with correlative sparsity for global minimization of polynomials on compact basic …