Hypothetically, assume that you have access to infinite computing power. Do we have designs for any brute-force algorithms that can find an AI capable of passing traditional tests (e.g. Turing, Chinese Room, MIST, etc.)? 
Given enough computational resources, do we currently have any algorithms which could achieve AI?
turing test;strong ai;ai design
What 'infinite' means here could possibly be debated at some length, but that notwithstanding, here are two conflicting answers:'Yes': Simulate all possible universes. Stop when you get to one containing a flavor of intelligence that passes whatever test you have in mind. Steven Wolfram has suggested something broadly along these lines. Problem: the state of computational testing for intelligence e.g. Winograd schema would then be the bottleneck. In the limit, testing for intelligence requires intelligence and creativity on behalf of the questioner.'No': It may be that, even with infinite ability to simulate, there may be some missing aspect of our simulation that is necessary for intelligence. For example, AFAIK quantum gravity (for which we lack an adequate theory) is involved in Penrose's Quantum Microtubules theory of consciousness (*). What if that was needed, but we didn't know how to include it in the simulation?The reason for talking in terms of such incredibly costly computations as 'simulate all possible universes' (or at least a brain-sized portion of them) is to deliberately generalize away from the specifics of any techniques currently in vogue (DL, neuromorphic systems etc). The point is that we could be missing something essential for intelligence from any of these models and (as far as we know from our current theories of physical reality) only empirical evidence to the contrary would tell us otherwise.(*) No-one knows if consciousness is required for Strong AI, and physics can't distinguish a conscious entity from a Zombie.