In this paper, we develop a general regularization-based continuous optimization framework for the maximum clique problem. In particular, we consider a broad class of regularization terms that can be ...

Research from Nature Portfolio Recent studies have introduced an exact algorithm designed to identify a maximum weight clique in weighted undirected graphs.

Quantum physicists have developed an algorithm that uses a single qubit to solve a problem that had previously needed thousands of them.

Junxian Zhu, Canhong Wen, Jin Zhu, Heping Zhang, Xueqin Wang, A polynomial algorithm for best-subset selection problem, Proceedings of the National Academy of Sciences of the United States of America, ...

A puzzle that has long flummoxed computers and the scientists who program them has suddenly become far more manageable. A new algorithm efficiently solves the graph isomorphism problem, computer ...

Right now, quantum computers are small and error-prone compared to where they'll likely be in a few years. Even within those limitations, however, there have been regular claims that the hardware can ...