Since the game tree of Go is finite (with positional superko), unlimited 
memory could be not necessary.

Hideki

Michael Williams: <[email protected]>:
>Absolutely that harms the convergence.  It is completely out the window when
>you start deleting nodes.  The convergience property exists only in the
>presence of unlimited time and memory.
>
>
>
>On Tue, Jun 7, 2011 at 8:02 PM, Hideki Kato <[email protected]> wrote:
>
>> Darren Cook: <[email protected]>:
>> >> The math escapes me here. I think doubling the playouts gains in the
>> >> neighborhood of 70 ELO points. If adding a thread costs 10 ELO,
>> >> adding more threads would stop being beneficial after about 14
>> >> threads. Doubling from 7 to 14 would lose 7*10 ELO, equaling the gain
>> >> of the extra playouts. After that, adding threads should actually
>> >> lose ELO. Yet we see people trying to put together systems with 100s
>> >> of CPUs. What am I missing?
>> >
>> >Richard Segal (who operates Blue Fuego) has a paper on the upper limit
>> >for scaling:
>> >  http://www.springerlink.com/content/b8p81h40129116kl/
>> >(Sorry, I couldn't find an author's download link for the paper; Richard
>> >is on the Fuego list but I'm not sure he is even a lurker here.)
>> >
>> >I didn't fully understand the methodology, but what I did take away from
>> >it (and discussions with Richard) was that though we're satisfied that
>> >pure UCT eventually expands all nodes and can solve a position just like
>> >minimax, this is not the case once you start adding enhancements such as
>> >rave and virtual loss and *parallelizing the algorithm*.
>>
>> Hm, even if the theory guarantee the convergence, not only time but
>> also memory are finite in practice.  Good GC (garbage collection), or
>> actually, pruning-less-important-leaf-node algorithms are important for
>> MCTS because MCTS requires much more memory than depth first search.  My
>> question is, then, is it possible to design a GC algorithm for MCTS
>> which does not harm the convergence?  Currently most developers use the
>> visit-count of a node to prune the node or not, I guess.  One more
>> question, does this harm the convergence?
>>
>> Hideki
>>
>> --
>> Hideki Kato <mailto:[email protected]>
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>>
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