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Re: [Bug-gnubg] random dice generator? hahahaaa

From: Philippe Michel
Subject: Re: [Bug-gnubg] random dice generator? hahahaaa
Date: Mon, 21 Aug 2017 22:40:15 +0200 (CEST)
User-agent: Alpine 2.21 (BSF 202 2017-01-01)

A domain where not-nearly-random dice may be useful could be rollouts and even more so repeated interactive playout of a position.

Currently, rollouts ensure that each sucessive set of 36 trials uses every possible diceroll once and the 36 rolls' ordering is random. For playing out positions, there is nothing special available.

The involved math is too hard for me, but wouldn't using low discrepancy sequences (https://en.wikipedia.org/wiki/Low-discrepancy_sequence) instead of a random order decrease the variance for rollouts with any number of trials (possibly only slightly, with variance reduction already helping a lot). When playing out a position, it could be more effective to sample the set of possible outcomes this way rather than purely randomly.

Do you have some insights on the subject ?

Do you think it would be indeed useful for rollouts and not too visibly contrived for a possible interactive usage ?

Then how does one generate such sequences ? Would the methods that are used on a continuous interval work for a discrete set of 36 values, not particularly homogeneously spread ? How to generate varied sequences, not always something identical like "moderately good, very bad, average, etc...) ?

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