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BGonline.org Forums
Kleinman count investigation
Posted By: Stein Kulseth
Date: Thursday, 7 April 2011, at 8:11 p.m.
I regularily use the Kleinman count to evaluate races (Those of you not familiar with it, or who wants a refresher can see Chuck's presentation of it here: http://www.bkgm.com/rgb/rgb.cgi?view+500), but I cannot recall having seen any modern day investigations of it. It is fairly old, pre-bot, and it would not be too much work to try to verify it with a set of rollouts. So that's what I did, Rollouts were with GNU, initially with my normal 1296 settings, but I shortened it to 432 and 216, seeing that those were sufficient for convergence. I used normal-looking and efficient positions, where there would be no need to modify the pip count for wastage. There still may be distribution issues that makes a position do better or worse than the mere pip count would indicate - but I haven't gone into details on that.
I was pleased to see that the KC did quite well - better than I had thought - for a wide range of pip counts. Without further ado here are my results:
Pip A Pip B KC coeff KC wins Rollout Diff %-pt Pos 40 40 0,21 62,3% 64,9% -2,6% Position ID: tm0AALBtAwAAAA 40 41 0,32 65,2% 67,9% -2,7% Position ID: um0AALBtAwAAAA 40 43 0,62 71,0% 71,5% -0,5% Position ID: 2m4AALBtAwAAAA 40 45 1,00 76,0% 76,0% 0,0% Position ID: 6nYAALBtAwAAAA 40 47 1,46 80,4% 80,0% 0,4% Position ID: bHcAALBtAwAAAA 40 50 2,28 85,4% 86,1% -0,7% Position ID: 6u4AAGDbBgAAAA 40 55 3,97 91,9% 92,8% -0,9% Position ID: 2u4BAMC2DQAAAA 60 61 0,21 62,3% 65,0% -2,7% Position ID: 7W4XAADt7hYAAA 60 63 0,41 67,1% 68,0% -0,9% Position ID: bXcXAADt7hYAAA 60 65 0,67 71,8% 71,8% 0,0% Position ID: bXdHAADt7hYAAA 60 67 0,98 76,5% 77,9% -1,4% Position ID: bbdLAADt7hYAAA 60 70 1,56 81,0% 82,2% -1,2% Position ID: bbuTAADt7hYAAA 60 75 2,76 87,8% 88,5% -0,7% Position ID: td2VAADt7hYAAA 60 80 4,24 92,7% 92,6% 0,1% Position ID: td2VAADt7hYAAA 60 85 5,96 96,0% 95,9% 0,1% Position ID: 2u6VAADt7hYAAA 80 81 0,16 60,7% 61,4% -0,7% Position ID: 2u6ZAADa7lkAAA 80 83 0,31 64,8% 65,7% -0,9% Position ID: 2u4ZAgDa7lkAAA 80 85 0,50 68,9% 70,3% -1,4% Position ID: 2u4cAgDa7lkAAA 80 87 0,74 73,0% 73,7% -0,7% Position ID: 2u4sBADa7lkAAA 80 90 1,18 77,8% 78,6% -0,8% Position ID: 2u4MBQDa7lkAAA 80 95 2,11 84,6% 85,8% -1,2% Position ID: 2nYWBgDa7lkAAA 80 100 3,27 89,8% 90,2% -0,4% Position ID: bDubBADa7lkAAA 80 105 4,65 93,9% 93,7% 0,2% Position ID: tJ2bBADa7lkAAA 100 101 0,13 59,5% 60,0% -0,5% Position ID: 2D03AgDYPTcBAA 100 103 0,25 63,2% 63,9% -0,7% Position ID: 2J07AQDYPTcBAA 100 105 0,40 66,9% 67,5% -0,6% Position ID: 2J07BADYPTcBAA 100 107 0,60 70,6% 70,8% -0,2% Position ID: 2J2bBADYPTcBAA 100 110 0,95 76,0% 75,5% 0,5% Position ID: 2J0rBgDYPTcBAA 100 115 1,71 82,1% 82,2% -0,1% Position ID: 2M5NBgDYPTcBAA 100 120 2,67 87,3% 87,4% -0,1% Position ID: 2M4mBwDYPTcBAA 100 125 3,81 91,4% 91,4% 0,0% Position ID: aOdGBwDYPTcBAA 100 130 5,12 95,1% 94,3% 0,8% Position ID: sHNHBwDYPTcBAA 120 123 0,21 62,1% 62,4% -0,3% Position ID: cOfsBABw59wBAA 120 125 0,34 65,5% 65,6% -0,1% Position ID: cOdsBgBw59wBAA 120 130 0,80 73,8% 73,2% 0,6% Position ID: sHNuBgBw59wBAA 120 135 1,44 80,3% 79,6% 0,7% Position ID: sDM3BwBw59wBAA 120 140 2,25 85,3% 84,9% 0,3% Position ID: sDmbBwBw59wBAA 120 150 4,35 93,0% 92,3% 0,7% Position ID: 0MyuBwBw59wBAA 140 145 0,29 64,3% 65,8% -1,5% Position ID: 4OycBwDQ3DkHAA 140 150 0,69 72,1% 71,4% 0,7% Position ID: 4GzOBwDQ3DkHAA 140 155 1,24 78,4% 77,9% 0,5% Position ID: YDbPBwDQ3DkHAA 140 160 1,95 83,6% 83,2% 0,4% Position ID: YGrnBwDQ3DkHAA 140 170 3,78 91,3% 91,0% 0,3% Position ID: INrzBwDQ3DkHAA
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