Nasher wrote:
Another idea, along the same lines...
In the example above, we project forward from the flop, determining the possible win/tie/loss distribution on the turn/river. However, the problem with using LUTs, from the river we can't determine how our hand evolved to it's current state. For example, if the flop came Ac As Ad, then 2s on the turn and 3d on the river, it would be the same river board but a strategically different hand had we flopped As 2s 3d, then turned/rivered Ac Ad. To deal with this (while maintaining the same sized river LUT), we can project backwards, looking at the possible distributions that lead to our current river hand. So, at any given round, we're projecting forwards and backwards in time, in the same hisogramatical fashion mentioned above. We can then perform stat descriptives on the histograms and cluster these hands into buckets that engender some sense of the complete game.
From the river, I have about 47 attributes per hand -- a big clustering problem, but not infeasible. That's about 2.5 billion pieces of data.
i haven't entirely figured out what you're doing, but how is this different from recalling our buckets on previous streets?