Kleinberg's axioms for distance based clustering proved to be contradictory. Various efforts have been made to overcome this problem. Here we make an attempt to handle the issue by embedding in high-dimensional space and granting wide gaps between clusters.

翻译：Kleinberg对远距离集群的学说证明是矛盾的。 已经为克服这个问题做出了各种努力。 我们在这里试图通过在高维空间中嵌入和在集群之间分配巨大差距来解决这个问题。