Week 1

1. Give an example of a function that is
   1. Lipschitz but not smooth
   2. Smooth but not Lipschitz
   3. Convex but neither smooth nor Lipschitz
2. From Understanding Machine Learning: From Theory to Algorithms,
   1. 3.5: 2, 3
   2. 4.5: 2
   3. 12.6: 2, 3
3. From Convex Optimization
   1. 2.1
   2. 3.1