I disagreed with Hartford, Cleveland, New Orleans, and Atlantic City being on that list.
There seems to be no reason why Hartford can't have the same type of "renaissance" that Providence has been credited with. The bones are there, so to speak. The construction of the Hartford 21 condo tower (440 feet, 4th tallest in city) and a large science museum within the last 5 years further the case that this city isn't dead.
I drove/walked through Cleveland from 6:00-6:40 am 1 day in my life, so granted I have a rather small sample for this, but the city was surprisingly pretty and clean considering its reputation. Key Tower and Terminal Tower are among the best buildings in the US. It's also in a pretty decent location, right on a Great Lake and under an hour from the greatest roller coaster amusement park in the world! Honestly, I feel like the state of their sports teams has done as much damage to Cleveland as anything. Add "city of losers" to "mistake by the lake", etc. If they won a few titles in anything, maybe it would be viewed a little less like a dump, because it isn't (at least the downtown isn't).
New Orleans, they used the stats from the year RIGHT AFTER KATRINA. No mention of how the population has been bouncing back a bit. That alone just seems lazy and invalidates this one for me.
Atlantic City is building bigger than they ever have before. Just like in Vegas, hotels over there keep pushing the limit. How can a dying city just build a 700 foot gigantic hotel? I think it's found its niche.