Re: set partition question

2008-05-25 Thread pball . benetech
On May 25, 10:41 pm, [EMAIL PROTECTED] wrote: > So, basically, V = (v_1, v_2, ... , v_{k-1}, v_k) can be regarded as > an abstract, k-dimensional vector, right? Yes. > If I understand your revised problem statement correctly, what you > really want to do is build a graph of these vectors, where

Re: set partition question

2008-05-25 Thread miller . paul . w
On May 25, 11:40 pm, [EMAIL PROTECTED] wrote: > This is a problem in statistical estimation. Given n records made up > of k variables, define a cell as the point in the cartesian product of > v_1 * v_2 * ... * v_k. I want to apply an estimator on the data in > each cell. So, basically, V = (v_1,

Re: set partition question

2008-05-25 Thread pball . benetech
On May 25, 7:46 pm, [EMAIL PROTECTED] wrote: > > I think this problem is related to integer partitioning, but it's not > > If, by "integer partitioning," you mean the "subset sum > problem" (given a finite set S of integers, does S contain a subset > which sums up to some given integer k?), then y

Re: set partition question

2008-05-25 Thread Martin v. Löwis
> There may be arbitrarily many set elements (denoted by integers > 1,2,3,...), arbitrarily many combinations of the elements composing > the sets s_i (s0, s1, ...). We can use any of python's set operations > or combination of those operations. That still allows for trivial solutions: Given s0,

Re: set partition question

2008-05-25 Thread miller . paul . w
On May 25, 3:51 pm, [EMAIL PROTECTED] wrote: > dear pythonistas, > > I think this problem is related to integer partitioning, but it's not > quite the same. The range of answers has a little combinatorial > explosion problem as S gains new members. In my problem, len(S) is > usually on the order of

Re: set partition question

2008-05-25 Thread Arnaud Delobelle
[EMAIL PROTECTED] writes: > dear pythonistas, > > So imagine that we have a set of sets S. If we pick arbitrarily one > set, s0, what are all the combinations of other sets in S which when > combined by set operations result in s0? > > s0 = set([1]) > s1 = set([1,2]) > s2 = set([2]) > S = set([s0,

Re: set partition question

2008-05-25 Thread pball . benetech
On May 25, 1:13 pm, "Martin v. Löwis" <[EMAIL PROTECTED]> wrote: > > We can use any operation or function which > > takes and returns sets. > > I think the problem is significantly underspecified. It would be a more > interesting problem if there was a restriction to a few selected set > operations

Re: set partition question

2008-05-25 Thread Martin v. Löwis
> s0 = set([1]) > s1 = set([1,2]) > s2 = set([2]) > S = set([s0,s1,s2]) > one answer we're searching for is s0 = s1 - s2 > > There may be arbitrarily many set elements (denoted by integers > 1,2,3,...) and arbitrarily many combinations of the elements composing > the sets s_i (s0, s1, ...). We can

set partition question

2008-05-25 Thread pball . benetech
dear pythonistas, So imagine that we have a set of sets S. If we pick arbitrarily one set, s0, what are all the combinations of other sets in S which when combined by set operations result in s0? s0 = set([1]) s1 = set([1,2]) s2 = set([2]) S = set([s0,s1,s2]) one answer we're searching for is s0