One way would be to ensure everyone has their right to a decent life fulfilled (aka, get everyone housed, fed and employed in decent conditions), to reduce the incentives and motivation for people to rob and assault other people.

One of the reason for "criminal careers" is that convictions - especially those for small scale shit like fare dodging or marijuana smoking - follow people around and make it impossible for them to obtain housing and employment. Break that cycle and help people who are in prison to live a crime-free life after release, and crime numbers will drop.