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[Bug-gnubg] cube decisions
From: |
Mark Higgins |
Subject: |
[Bug-gnubg] cube decisions |
Date: |
Fri, 24 Feb 2012 14:59:40 -0500 |
I think the standard for cube decisions is to follow a Tesauro (2002) approach
of approximating cube decisions with a function that takes cubeless
probabilities and some measure of volatility (eg std dev of equity over the
next roll or two). I assume this is what GNUbg does?
Has anyone looked at approximating cube decisions with a neural network? ie a
different net than the cubeless evaluation nets - one that takes the cubeless
probabilities as inputs, plus volatility, plus whatever other inputs you might
want to include. Outputs would be "double" (you double if output value exceeds
a threshold - only valid with the cube in the middle), "redouble" (only valid
if you own the cube), and "take/pass" (what you do when offered the cube).
Since (in principle) a neural net can approximate any nonlinear fn, it should
be able to approximate the Tesauro one. But it allows for a more accurate
approximation (again, in principle), plus the flexibility to add new inputs
that improves the approximation.
It sounds kind of plausible to me, but I don't see much mention of this
approach when I google around, so I suspect it's harder than it initially
sounds.
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