Complexity theorists sort problems into categories, called complexity classes, based on the resource demands of the best algorithms for solving them—that is, the algorithms that run fastest or ...

Compared to the previous approach of, our algorithm improves the complexity from an exponential dependence on T to a nearly quadratic dependence, under the condition R < 1.

Usually, augmenting vectors with certain properties are sought to guarantee the polynomial running time of the overall algorithm. In this paper, we show that one can solve every integer programming ...

Home Tech the explainer Algorithms have gotten out of control. It's time to regulate them. These complex equations have huge influence on our lives — but they operate with very little oversight ...

We present a general framework whereby analysis of interior-point algorithms for semidefinite programming can be extended verbatim to optimization problems over all classes of symmetric cones ...