Introduction to the theory of convex sets and functions and to the extremum problems in areas of mathematics where convexity plays a role. Your Final Grade in the ...

We develop a novel framework, the implicit hitting set approach, for solving a class of combinatorial optimization problems. The explicit hitting set problem is as follows: given a set U and a family ...

In Part 1 of this series on optimization and recovery, we considered two limitations of optimization processes and the light they shed on pseudo-recovery. Let’s now think more about what the ...

The original version of this story appeared in Quanta Magazine. For computer scientists, solving problems is a bit like mountaineering. First they must choose a problem to solve—akin to identifying a ...

There's a curious contradiction at the heart of today's most capable AI models that purport to "reason": They can solve routine math problems with accuracy, yet when faced with formulating deeper ...