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> Isn’t solving protein folding np-complete? I'm not an expert on protein folding, but if you refer to this paper [1], it only claims that one particular optim
by thxg 6y ago
> Isn’t solving protein folding np-complete?
I'm not an expert on protein folding, but if you refer to this paper [1], it only claims that one particular optimization problem, believed to give a solution to protein folding problems, is NP-hard. So it is not proven that protein folding is hard (in terms of computational complexity theory), although it does seem likely.
> How did this new algo get past that?
This is a very frequent and legitimate question due to the widespread misconception that "large NP-hard problems cannot be solved". Maybe it does not help that the term "intractable" is often used as a synonym for "not in P", while that word has obvious connotations outside of complexity theory.
To the contrary, for some specific types of NP-hard problems, gigantic instances are routinely solved in a matter of minutes. Prominent examples are knapsack problems, SAT problems [2], and the Traveling Salesman Problem [3] or more generally Mixed Integer Programming [4]. To give you some intuition: yes, the complexity still grows exponentially with the size of the problem, but if the constant factor is really tiny, we may still be able to tackle fairly large instances.
> Did it solve p=np too?
Definitely not. For that, again, we would need, some formal statement that protein folding as solved there is NP-hard (this seems feasible, but I don't know that it has been done). Then, more importantly, we would need a theoretical result showing that the proposed solution method is of polynomial-time complexity -- being able to solve individual instances "quickly" is nice but not entirely relevant to the theoretical complexity side of things.
[1] "Complexity of protein folding", 1993, by Aviezri S. Fraenkel
[2] http://www.satcompetition.org http://www.satcompetition.org
[3] http://www.math.uwaterloo.ca/tsp/ http://www.math.uwaterloo.ca/tsp/
[4] http://plato.asu.edu/bench.html http://plato.asu.edu/bench.html
- mrfusion 6y agoThanks! That’s a great explanation. I suppose the cell itself could have certain patterns in making proteins so the problem is more finding shortcuts and patterns rather than modeling how thousands of atoms behave under varying forces.