It's the same, with local governments driving the planning. The problem with federal money is that Finance Ministry fights infrastructure spending and does not execute the budget for the items it considers "pork" introducing random cuts to fight "inflation".

I can not find authoritative source, just an article with Luzhkov's complaints were he says that metro extensions are self financing, with some city help: in 2008-2010 city will spend 5 bln $; last few years effective federal part in overall financing was 10%. Luzhkov was asking for 50% federal financing but seems to have lost this battle inside his own party.