Application fields
Quantum, learning and energy
- Quantum systems: quantum games, e.g., number of mutually unbiased bases, ground state energy of many body Hamiltonians, inflation for quantum correlations in networks, device independent quantum key distribution, entanglement witnesses for multi-partite Werner states, polynomial Bell inequalities, analysis/control of Hamiltonian systems
- Deep learning: robustness of neural networks, stability of dynamical systems controlled by neural networks, classification and explainability with Christoffel-Darboux kernels, training with optimal transport and optimal control
- Energy networks: alternative current-optimal power flow problems, stability of large-scale power systems, analysis/control of systems governed by nonlinear delay/stochastic/partial differential equations
