Semantic Word Embeddings

This post can be seen as an introduction to how nonconvex problems arise naturally in practice, and also the relative ease with which they are often solved. I will talk about word embeddings, a geometric... Continue

Why go off the convex path?

The notion of convexity underlies a lot of beautiful mathematics. When combined with computation, it gives rise to the area of convex optimization that has had a huge impact on understanding and improving the world... Continue