The NIPS community has suffered of an acute convexivitis epidemic:

- ML applications seem to have trouble moving beyond logistic regression, SVMs, and exponential-family graphical models;

- For a new ML model, convexity is viewed as a virtue;

- Convexity is sometimes a virtue;

- But it is often a limitation.

ML theory has essentially never moved beyond convex models - the same way control theory has not really moved beyond linear systems.