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Apr 13, 2017 at 12:32 history edited CommunityBot
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Feb 7, 2016 at 21:54 comment added Thomas Steinke Algorithm 3 should generalize to sampling from a ball with a different center.
Feb 7, 2016 at 21:45 comment added Bin Fu I look for the uniform random sampling for lattice points inside a d-dimension ball. If the center is at 0, the algorithm that you described looks uniform. There is a little bias when the center is not at a lattice point. Overall, I am very happy for what I learnt here. Thanks
Feb 7, 2016 at 21:25 comment added Thomas Steinke @BinFu Can you please update the question to precisely define what distribution you want to sample from?
Feb 7, 2016 at 21:23 comment added Thomas Steinke I am assuming the ball is centered at 0. Is this not the case?
Feb 7, 2016 at 21:21 comment added Bin Fu is not at a lattice point. Otherwise, it is uniform.
Feb 7, 2016 at 21:20 comment added Bin Fu It seems that function f(.) depends on the center if the original ball center
Feb 7, 2016 at 20:22 history edited Thomas Steinke CC BY-SA 3.0
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Feb 7, 2016 at 19:52 comment added Thomas Steinke Unless I made a mistake, the algorithms I suggested should give perfectly uniform outputs. Peter's first algorithm also outputs a perfectly uniform point, but his second one only outputs an approximately uniform point.
Feb 7, 2016 at 19:48 comment added Bin Fu I like Peter and your suggestions. There may be a little bias that I will check it
Feb 7, 2016 at 18:21 history edited Thomas Steinke CC BY-SA 3.0
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Feb 7, 2016 at 17:29 history edited Thomas Steinke CC BY-SA 3.0
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Feb 7, 2016 at 17:14 history edited Thomas Steinke CC BY-SA 3.0
small corrections
Feb 7, 2016 at 16:56 history edited Thomas Steinke CC BY-SA 3.0
Reorganized answer
Feb 7, 2016 at 16:22 history edited Thomas Steinke CC BY-SA 3.0
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Feb 7, 2016 at 16:02 history edited Thomas Steinke CC BY-SA 3.0
added 1447 characters in body
Feb 7, 2016 at 15:29 history answered Thomas Steinke CC BY-SA 3.0