Resource robustness and discrimination of physical processes

Robustness is a general approach to quantifying resources in a theory where there is a convex subset of non-resources. This applies, for example, to entanglement, as well as asymmetry and coherence. An approach based on robustness naturally allows one to use efficient and illuminating optimization techniques like semidefinite programming, and can be related to quantum tasks dealing with process discrimination/metrology. I will review some recent results in a number of cases, including the mentioned entanglement, asymmetry, and coherence.