On Thu, 2007-01-25 at 03:27 -0600, Matt Gokey wrote:
> Learning these skills while thinking about a particular game's next
> move 
> is not generally practical and even if possible would presumably
> require 
> enormous extra time. Yet without this ability you are left with a 
> massively rapid expanding game tree to search.  Finally this is why I 
> think it may be the case that doubling human thinking time for Go
> might 
> not produce linear improvements. 

You are still missing the point. 

What you are describing looks great on paper,  but that's now how
the extra time works.   Even if you are given 10X more time,  the
benefit will come from not from suddenly being able to grasp master
level concepts, but from repairing the little mundane problems 
that  are just within your reach.  

And it will only effect a small number of moves.   Most of the
moves will be exactly as you say, confusing, and you will not be
able to improve them (and I think this is the partly the source 
of what I consider the misconception some of us are having.)

The other source of the misconception you also touched on.  You
mentioned "enormous extra time", which is correct.  It DOES INDEED
require enormous extra time,  even in computer chess to make
anything more than a modest improvement.    The reason you just
can't imagine that "a lot" of extra time will help you play a
better move is because most of the time it won't!   Your 
intuition is correct but your conclusion is incorrect.   

The improvement will come only from little mundane improvements
of a very small number of moves - but that is enough to make
your level of play go up a  bit.   

Please note that for weak players,  a LOT of moves need to be
improved, and for strong players only a few need to be improved.
But the way this works is that the stronger you get,  the 
more impact improving just a few moves makes because your
opponent is more likely to take advantage of your mistakes.

Someone once did a computer chess experiment with really long
and deep searches and they studied how often computers "changed
their minds" when making moves.   As it turns out,  the rate
of change (per ply or per doubling) tapers off as you go deeper
and deeper.    And yet the strength improvement is almost
the same for each doubling.   

The computers follow your cognitive intuition that you posted
about,  they can think for an enormous amount of time and still
not improve on the move.    Improvement isn't about making ALL the
moves better, only a few.   It's almost always possible, given
more time, to find some improvements in a few of your moves
and this is what makes you play better.    

Since it takes
geometrically increasing amounts of time to make the same
strength jump,  there is no chance you will play enormously
better given any practical amount of time,  which probably
matches both your intuition on this,  and the actual facts.


- Don









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