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Subject: Why it should be worth to obtain N-best-trees!

Author: Ingo Lindam

Date: 07:50:47 12/05/02


Hello all,

quoting myself I would like to start a new discussion about why I think its
worth two obtain N-best-trees (as a result of the search process), containing
the N-best moves in each exactly evaluated node of the search tree.

Robert Hyatt agreed that the effort to do this should be able to estimate by
getting N*N times slower. This means 4 times slower to obtain a 2-best-tree
instead of just obtaining a single PV:

Ofcourse I am aware of winning nothing and just loosing a lot of time when
I play games and my aim is just to obtain the best move according to one given
evaluation function (at the end of the quote I hint on the possibility to use
the N-best-tree for rescoring on basis of a second, improved evaluation function
that is more complex and therefor just usable on a reduced search space/tree).

"
BUT...
I think engines can do more than this (if we allow them to do so). They can
analyse and give a tree to argue for their decission by giving a scored tree,
rather than a single variation.

And also the developer will save so much time (yes, SAVE time) by doing this
(not when playing a game) but when testing and developing.

Give the engine a lot of time to analyse some crucial/test positions, store the
tree and than enjoy the speedup when testing several evaluation methods on this
reduced search tree.

And when you agree that doing a N-best search slows down not exponentially, but
going deeper into the searchtree does. Then there must be a certain limit for
going deeper. And when you have no time to go deeper, why not use a better, more
complex evaluation function on the N-best tree in that time.

Even more when you think of...

a) N is const.!: so = O(N*N * x^ply) = O(c * x^ply) keeps O(x^ply) in O(ply)
notation
b) rescoring on the N-best tree can given without any problems to another
processor or even maschine.
c) even generating the N+1-best-tree given a N-best-tree can done by an
additional maschine for ply K as soon as N-best tree for play K.
d) generation the N+1-best-tree (i the MP case) can be accellerated by giving
the hash of generating the N-best tree.

Do I miss something?"

Internette Gruesse,
Ingo



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