Author: Dann Corbit
Date: 11:13:04 04/14/04
Go up one level in this thread
On April 14, 2004 at 14:09:04, Bo Persson wrote: >On April 14, 2004 at 13:47:06, Dann Corbit wrote: > >>On April 14, 2004 at 13:33:38, Robert Hyatt wrote: >> >>>On April 14, 2004 at 03:30:22, Dann Corbit wrote: >>> >>>>I decided to toss an MTD(f) search into TSCP, and I've got something wrong, but >>>>I can't quite see what it is. >>> >>>There is a lot more to do. >>> >>>1. you need to modify the hash table to store 2 bounds, not 1. >> >>That was not done yet. > >But not too hard! > >> >>>2. the search must be fail-soft. TSCP isn't. >> >>I had already done that. >> >>>3. PV has to be yanked from the hash table and that makes it flakey at times as >>>has been discussed many times. There is another way to get the PV, but it is a >>>special case solution only for mtd... >> >>Tord showed a very nice way to do that with a clever "hash only" update. >> >>>4. the convergence has to be accelerated. IE on a fail high searching v and >>>v+1 won't cut it. > >I can supply that part, learned from CCC a couple of years ago of course. > > // Calculate next gamma and Step > > if (gamma < Beta) > { > GlobalUpperBound = gamma; > gamma = max(gamma - Step, GlobalLowerBound + 1); > SteppedDown = true; > } > else > { > GlobalLowerBound = gamma; > gamma = min(gamma + Step, GlobalUpperBound - 1); > SteppedUp = true; > } > > if (SteppedUp & SteppedDown) > Step /= 2; > else > if (Step < (GlobalUpperBound - GlobalLowerBound) / 2) > Step *= 2; > > >Here gamma is your f. The idea is to accellerate the stepping, until you have >over stepped the score twice, once in each direction. Then you have an >acceptable bound, and can start to zoom in, using smaller and smaller steps as >you get closer and closer. > >The GlobalUpperBound and GlobalLowerBound should really be global. If you use >lazy evaluations those are the bounds to use there, not the local alpha/beta >which are always just 1 point apart. I have lots of ideas along these lines. I thought of using an MTD(f) like driver, but in MTD(bi) format, so that I will binary search. I thought of doing a parabolic fit of the last few guesses and extrapolating the next guess. I thought of doing an aspiration window around the last bound and MTD(bi) search of that. Some others besides. But I want to understand the algorithm through and through before I venture into that land. I got reinterested in MTD(f) because Uri mentioned that he would like to be able to experiment with it in his search. In case he wants me to give him a hand, I had better understand it well myself.
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